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Kalinin",publishedDate:null,coverURL:"https://cdn.intechopen.com/books/images_new/11782.jpg",keywords:"Variety of Traits, Historical Remarks, Modern Definitions and Descriptions, Personality Disorders, Comorbid Psychopathology, Depression, Anxiety, Obsessions, Delusion, Treatment of Personality Disorders, Phenomenology of Personality Traits, Delusional Symptoms",numberOfDownloads:null,numberOfWosCitations:0,numberOfCrossrefCitations:null,numberOfDimensionsCitations:null,numberOfTotalCitations:null,isAvailableForWebshopOrdering:!0,dateEndFirstStepPublish:"March 9th 2022",dateEndSecondStepPublish:"May 12th 2022",dateEndThirdStepPublish:"July 11th 2022",dateEndFourthStepPublish:"September 29th 2022",dateEndFifthStepPublish:"November 28th 2022",dateConfirmationOfParticipation:null,remainingDaysToSecondStep:"13 days",secondStepPassed:!0,areRegistrationsClosed:!1,currentStepOfPublishingProcess:3,editedByType:null,kuFlag:!1,biosketch:'A researcher with over 300 publications in psychopathology, psychopharmacology, neuropsychiatry, and epileptology, a member of the Russian Society of Psychiatry, and the Russian Society of Epileptology. 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\n\t\t\t
1. Introduction
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Which are the brain processes that underlie facial identification? What information, among the available in the environment, is used to elaborate a response on a subject\'s identity? Certainly, our brain uses all the information in greater or less extent. Just focusing on that present on the human face, the system can obtain knowledge about gender, age and ethnicity. This demographic data may not be enough for subject identification, but it definitely gives us some valuable clues. The same can be applied for computer systems. For example, having gender information into account, the system can reduce the pool of the possible identities considerably, making the problem easier and enforcing the final response. Moreover, raw gender information can also be used in fields such as micromarketing and personalized services.
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A practical example of this can be found on the work presented by Peng and Ding (Peng & Ding 2008). These authors proposed a tree structure system to increase the successful rate of a gender classification. In particular, the system first classify between Asian and Non-Asian ethnicities. Then, two specialized gender classification systems are trained, one for each ethnicity. This resulted in an increase of around 4% over an ordinary system (gender classifier without ethnicity specialization).
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Therefore, demographic classification systems are as much important and valuables as face identification systems themselves. This is why they have received increasing attention in the last years. In particular, this chapter focuses its attention in facial-base gender-detection systems. A summary of the problem’s characteristics is first given in section 2, along with an overview of the state of art. Section 3 introduces the structure of the system used for experiments of section 4, where we check the effect of preprocessing variations on the systems performance. Finally, conclusions derived from the obtained results are presented in section 5.
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2. Biometric gender classification
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In general, biometric problems can be classified in two groups: classification and verification. In the former, samples from a number of well defined classes are given to the system for training. When a testing sample is presented, the system must classify it in the corresponding class. In other words, the system answers the “who is this?” question.
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On the other hand, during a verification problem training samples are divided in classes “A” (called positive) and “others” (called negative). Then, a testing sample claiming to be of class “A” is presented to the system and the system must verify that this sample corresponds to the claimed class. Obviously, a classification system can be built upon a combination of verification systems.
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Tools show different behaviors in different situations. Some perform better in classification problems while others perform better during verification. This is because differences between classification and verification are not just a matter of the number of classes, but of how classes are built. In a classification problem, classes are well defined patterns coming from a common thing. However, this cannot be expected for the negative class of a verification problem. Usually this class is too wide in the sample space to be represented with a reasonable amount of samples, and other representation techniques must be used.
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This does not mean that representation techniques that work on classification problems cannot perform on a verification scenario or vice versa. But usually you cannot expect them to work as well. Therefore it is important to define the problem before decide the approaching technique and the tools to be used. Gender classification systems find themselves in a rather special situation, as they only define two classes (male and female). Therefore classification and verification techniques can be used without penalties in this case.
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2.1. Facial image databases
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Due to the gaining importance of face identification systems on the security field, a great deal of facial databases has appeared in the last years. As any other component of a biometric system, databases’ technology has experienced an important step forward too.
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Some of the first widely used databases were the Olivetti Research Laboratory database (Samaria & Harter 1994), also known as AT&T, and the YALE database. These databases consist of images taken from a frontal or almost frontal facial poses. As it can be seen in figure 1, subjects on the ORL database, presents only smiling / not smiling facial expressions and images with smooth lighting variations. On the other hand, the YALE database presents subjects with a number of different configurations such as center / left / right lighting, with / without glasses, and happy / normal / sleepy / surprised / wink expressions. Some examples are given in figure 2.
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In both cases, few subjects and few images per subject are provided. Thus, they represent a problem which can fit some practical situations such as access control systems with few authorized persons, as for these systems it may be easier to control lightning and to obtain good images in terms of pose and expression, as subjects are willing to get recognized. However, they are impossible to use in problems such as gender or ethnicity classification, where big pools of samples are necessary in order to obtain reliable results.
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Figure 1.
Some examples of the ORL database
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Figure 2.
Some examples of the YALE database
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However, more powerful and complex situations involve huge security systems installed in airports or public buildings. These systems face uncontrolled lightning conditions, non collaborative subjects, and vast pools of identities. New databases incorporate some or all of these characteristics in order to test system against such situations. For example, the YALEb database (Georghiades et al. 2001) (Lee et al. 2005); examples in figure 3, contains images coming only from 10 persons, but each seen under 576 viewing conditions coming from combinations of 9 poses and 64 illumination conditions.
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Figure 3.
Some examples of the YALEb database.
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Figure 4.
Some examples of the FERET database
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The FERET database (Phillips et al. 2000) consist of images collected in a semi-controlled environment, from 1199 subjects, and for different facial poses. Some examples can be seen in figure 4. An interesting property of this database is that it provides an extensive ground truth data specifying coordinates of facial organs, ethnicity, gender, and facial characteristics such as moustache, beard, and glasses information. Therefore, the FERET database may be easily used in almost any experimental situation. In fact, we will be using it for further experiments in this chapter.
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The Face Recognition Grand Challenge (FRGC) database (Phillips et al. 2005) is another complete database. As FERET, the FRGC database consist of high resolution images from a pool of more than 1000 subjects and complete ground truth information files. However, this database provides images of full body, taken in different scenarios, which implies important changes in background and lightning conditions. Some examples can be seen in figure 5.
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Figure 5.
Some examples of the FRGC database
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In short, when testing a system it is important to keep in mind what type of database is been used. Using different databases provides different conditions, which allows us to test the system against different problems.
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2.2. State of the art
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A priori, techniques used for face identification or verification can also be used for gender identification. Finding inspiration in the biological system, S.L. Phung and A. Bouzerdoum proposed a system implementing a pyramidal neural network (Phung & Bouzerdoum 2007). This structure combines 1D and 2D neural network architectures with a resilient backpropagation learning algorithm, in such a way that some interesting properties arise. For example, neurons from the first layer are directly connected to image pixels, and the net\'s structure implements local receptive fields that are slightly overlapped. These two properties are somehow similar to the human eye. Using a set of 1152 male and 610 female images from the FERET database was used to test the system, with which a best classification rate of 89.8% was obtained.
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On the other hand, B. Moghaddam and Ming-Hsuan Yang asserted that the Support Vector Machine (SVM) pattern classification outperforms traditional classifiers such as linear, quadratic, nearest neighbor, and Fisher linear discriminant, as well as more modern techniques such as Radial Basis Function (RBF) and large ensemble-RBF neural networks (Moghaddam & Ming-Hsuan 2002). The authors used a set of 1044 male and 711 female images from the FERET database for the experiments, and obtained a lowest error rate of 3.38% using a Gaussian RBF kernel on their SVM.
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For the characterization of images, A. Jain et al. combined the Independent Component Analysis (ICA) feature extract technique with the SVM classifier (Jain & Huang 2004). They tested the system using a set of 250 male and 250 female images from the FERET database, obtaining a classification rate of 95.67%. Then, Zhen-Hua Wang et al. applied a Genetic Algorithm (GA) search over the feature found by ICA, improving the system performance on a 7.5% (Zhen-Hua & Zhin-Chun 2009). Moreover, we have shown in (del Pozo Baños et al. 2011) that the ICA approach named Join Approximate Diagonalization of Eigenmatrices (JADE-ICA) outperforms the fast-ICA method in both error rate and stability on the gender classification problem.
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Another interesting point is which face area provides the best information for gender classification. M. Castrillón Santana and Q.C. Vuong presented a psychological study on this aspect (Castrillon-Santana & Vuong 2007). They showed that when humans have no face information, the neck of males and the long hair of females provide the most diagnostic information. Moreover, in order to compare human and artificial systems they performed a series of experiments using different face masks. The system based on Incremental Principal Component Analysis (IPCA) and support vector machine (SVM) performed surprisingly similar using only face information (no neck and no hair) and face with hair line information. In a similar approach, Jing-Ming Guo et al. proposed the use of a mask to remove those pixels that are not discriminative as they are common for both classes or come from the background noise (Jing-Ming et al. 2010). This mask was based on the difference between the mean male image and the mean female image. Pixels selected by the mask were then used as inputs to a SVM classifier. Experiments were performed using a set of 1713 male and 1009 female images from the FERET database, and an accuracy of 88.89% was reported. J.R. Lyle et al. studied the validity of periocular images (area around eyes) for gender and ethnicity classification (Lyle et al. 2010). Images were rescaled to 251x251 pixels, converted to gray scale and their histograms equalized. The parameterization relied on the Local Binary Pattern (LBP) (Topi 2003) tool, and a SVM was applied for classification. Testing the system on the FERET database, the authors obtained a best accuracy of around 94%.
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A more sophisticated system which performs score fusion of experts on different face areas is presented by F. Manesh et al. (Manesh et al. 2010). First, eyes and mouth coordinates are automatically extracted with the extended Active Shape Model (Milborrow & Nicolls 2008). The system aligns, crops, and rescaled face images to 80x85 pixels as a preprocessing stage. Faces are then divided in 16 regions based on a modification of the Golden ratio template proposed by K. Anderson et al. (Anderson & McOwan 2004). Each region has its own expert system. These experts use a family of Gabor filters (Gabor 1946) (Daugman 1980) with 5 scales and 8 orientations as a feature extractor method, and a SVM with a RBF kernel for classification. Score fusion is finally performed using the optimum data fusion rule, which weights the experts accordingly to their accuracy. For the experiments, a combination of 891 frontal images from the FERET database and 800 frontal images from the CAS-PEAL data base was used. This set was divided in 3 sub-sets labeled “training”, “validation”, and “test”. Finally, the researchers reported an accuracy of 96% for the ethnicity problem (Asian vs. Non-Asian), and 94% for gender classification fusing the scores of eyes, nose, and mouth.
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S. Gutta et al. also highlighted how information such as gender, ethnicity or face pose can increase the performance of face identification systems (Butta et al. 2000). To automatically obtain this information from facial images, they proposed a mixture of experts\' system, which uses the “divide-and-conquer” modularity principle. Therefore, the system is composed of several sub-systems or modules and it elaborates the final result based on the individual results. In particular, an architecture combining ensemble-RBF networks and decision trees techniques was used for gender classification. Using a set of 1906 male and 1100 female images from the FERET database the authors obtained a gender recognition rate of 96%.
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As in any other face identification system, the preprocessing step is crucial. E. Makinen and R. Raisamo performed a set of experiments to evaluate the effect of face alignment (Makinen & Raisamo 2008). They reported no improvement when automatic face alignment techniques were used. However, manual alignment did increase the systems performance by a small factor. Giving these results, authors concluded that alignment methods must be improved in order to be of some use in the gender recognition problem. As they tested different classification techniques, they obtained the best performance with the SVM classifier, a classification rate of 84.39% using a set of 411 images from the FERET database. However, Adaboost with haar-like features offered very close results, while it was faster and more resistant to the in-plane rotation variations. Moreover, Jian-Gand Wang et al. also reported no significant improvement in terms of performance between manual, automatic, and none face alignment (Jian-Gan et al. 2010). Surprisingly, not only face alignment have none or little effect on gender classification, but many works has reported the same affect between low and high resolution images (Moghaddam & Ming-Hsuan 2002) (Lyle et al. 2010). In addition, many authors have reported no significant changes in performance when different image qualities were used (Moghaddam & Ming-Hsuan 2002) (Makinen & Raisamo 2008).
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As we have experienced the same effect when quite different preprocessing methods were used (del Pozo-Baños et al. 2010), we decided to run here a further experiment using a common database to reinforce these results.
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3. The proposed system model
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The system used in this study has a block diagram composed of three main blocks: preprocessing, parameterization, and classification. Four quite different components were implemented for the preprocessing block, while two tools were used on the parameterization block. Figure 6 shows the aspect of this architecture, where only one preprocessing and one parameterization can be active at the same time.
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Figure 6.
Block diagram of the implemented system
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3.1. Preprocessing methods
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The first block at the system’s entrance is the preprocessing block. This gets samples ready for the forthcoming blocks, reducing the noise and even transforming the original signal in a more readable one. Four different preprocessing components has been implemented.
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PP-1. This block normalizes the image histogram to a linear distribution before reducing its dimension to 15x20 pixels. Finally, an unsharpened filter is used to reduce the noise produced by the extreme reduction.
PP-2. In this case, after histogram normalization a further local normalization (Xiong 2005) is performed. This normalization aims to reduce lighting effect through a double Gaussian filtering. Then, images are reduced to 15x20 pixels, and the unsharpened filter is applied.
PP-3. The LBP (Topi 2003) is an invariant texture measure tool for gray scale images. When applied, it produces a matrix LBP were each point \n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t\t\tc\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t\t\tc\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t corresponds to the differences between the centre pixel point \n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\tg\n\t\t\t\t\t\t\t\t\t\t\t\t\tc\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t and its neighbours according to a given mask\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\tg\n\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t. The mathematical definition is:
Here, the factor power of two makes the result of every possible combination unique, so that the LBP transformation is reversible. After applying the LBP, the PP-2 component reduces the resulting matrix dimension to 15x20, and applies the unsharpened filter.
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PP-4. This component is similar to the previous one, although in this case the image is first reduced to 15x20 and the filtered before apply the LBP transformation.
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At the end of every preprocessing component, an elliptical mask is applied to remove peripheral noise located on corners. Images are then vectorized considering only pixels falling within the elliptical mask, which provides further reduction of samples dimensions. The effects of applying each preprocessing component can be seen in figure 7.
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Figure 7.
Original image (A) and the resulting images for each preprocessing component: PP-1 (B), PP-2 (C), PP-3 (D), and PP-4 (E).
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3.2. Parameterization techniques
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The parameterization step analyzes samples and extracts relevant information. The proposed system uses both PCA and ICA appearance based methods.
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3.2.1. Principal Component Analysis (PCA)
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The PCA was introduced by Karl Pearson in 1901 (Jolliffe 2002), and then applied to face images by Kohonen (Kohonen 1989), Kirby y Sirovich (Kirby & Sirovich 1990). It was intended to extract information not viewable at first sight by projecting samples to a new space which maximizes variance. Moreover, by keeping only the first N coordinates of the new space, also called principal components (PCs) the system reduces sample dimensions keeping the most valuable information. Let X be a matrix of vectors\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t, each with p variables. PCA results in a set of projecting vectors \n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tα\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t such that the transformation:
obtains a new set of vectors \n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t representing the original \n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t in a space maximizing its variance. Moreover, vectors \n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tα\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t are uncorrelated to each other, so that new vectors appear in decreasing variance value order. By keeping the first N vectors\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t, the system remove redundant information and obtain an smaller representation of the data.
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Projecting vectors \n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tα\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t are computed by the eigenanalysis of the covariance matrix of X, referred to as S. Therefore, vector \n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tα\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t corresponds to the i-th eigenvector of S, which when chosen to have unit length \n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tα\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\'\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tα\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t=\n\t\t\t\t\t\t\t\t\t1\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t proves to provide a vector \n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t with variance equal to the corresponding i-th eigenvalue of S.
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3.2.2. Joint Approximate Diagonalization of Eigen-matrices Independent Component Analysis (JADE-ICA)
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ICA is a particularization of PCA to extract components that are, at the same time, non-gaussian and statistically independent (Hyvärinen 2000). When used on images, ICA obtains independent base images which are not necessarily orthogonal. Application of these base images extracts between pixels information related to high order statistics.
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In this study, an approach named JADE-ICA has been used to implement this tool. JADE-ICA is based on joint diagonalization of cumulant matrices. For simplicity, the case of symmetric distributions is considered, where the odd-order cumulants vanish. Let \n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tX\n\t\t\t\t\t\t\t\t\t\t1\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tX\n\t\t\t\t\t\t\t\t\t\t4\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t be random variables, and defined\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tX\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t*\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t=\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tX\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\tE\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tX\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t. The second order cumulants can be written as:
Now, under a linear transformation\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tY\n\t\t\t\t\t\t\t\t\t=\n\t\t\t\t\t\t\t\t\tA\n\t\t\t\t\t\t\t\t\tX\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t, the cumulants of fourth-order transformation became:
, with \n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\ta\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t the i-th row and j-th column entry of matrix A. Since the ICA model (\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tX\n\t\t\t\t\t\t\t\t\t=\n\t\t\t\t\t\t\t\t\tA\n\t\t\t\t\t\t\t\t\tS\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t) is linear, using the assumption of independence by \n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tC\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tS\n\t\t\t\t\t\t\t\t\t\tp\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tS\n\t\t\t\t\t\t\t\t\t\tq\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tS\n\t\t\t\t\t\t\t\t\t\tr\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tS\n\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t=\n\t\t\t\t\t\t\t\t\tk\n\t\t\t\t\t\t\t\t\tu\n\t\t\t\t\t\t\t\t\tr\n\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tS\n\t\t\t\t\t\t\t\t\t\tp\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tδ\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tp\n\t\t\t\t\t\t\t\t\t\t\tq\n\t\t\t\t\t\t\t\t\t\t\tr\n\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t where:
Given any n x n matrix M and a random n x 1 vector X, we consider a cumulant matrix \n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tQ\n\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\tM\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t defined by:
, where tr(B) denotes the trace of matrix B and\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\tR\n\t\t\t\t\t\t\t\t\t\t\t\tX\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t=\n\t\t\t\t\t\t\t\t\tC\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tX\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tX\n\t\t\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t.
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The structure of a cumulant \n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tQ\n\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\tM\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t in ICA model is easily deduced from (9) as:
, where \n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\ta\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t is the i-th column of A.
\n\t\t\t\t\t
Now, let W be a whitening matrix and\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tZ\n\t\t\t\t\t\t\t\t\t=\n\t\t\t\t\t\t\t\t\tW\n\t\t\t\t\t\t\t\t\tX\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t. Let us assume that the independent sources matrix S has unit variance, so that S is white. Thus \n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tZ\n\t\t\t\t\t\t\t\t\t=\n\t\t\t\t\t\t\t\t\tW\n\t\t\t\t\t\t\t\t\tX\n\t\t\t\t\t\t\t\t\t=\n\t\t\t\t\t\t\t\t\tW\n\t\t\t\t\t\t\t\t\tA\n\t\t\t\t\t\t\t\t\tS\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\tis also white, and the matrix \n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tU\n\t\t\t\t\t\t\t\t\t=\n\t\t\t\t\t\t\t\t\tW\n\t\t\t\t\t\t\t\t\tA\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t is orthonormal. Similarly, the previous techniques can be applied into (13) for any n x n matrix M.
\n\t\t\t\t\t
First, the whitening matrix W and the cumulant matrix Z are estimated. Then, the estimation of an orthonormal matrix U, denoted by U, is calculated. Therefore, an estimated matrix A denoted by A is obtained from\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tW\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t1\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tU\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t, and the sources matrix S is calculated by\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tA\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t1\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tX\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t.
\n\t\t\t\t\t
To measure non-diagonality of a matrix B, off(B) is defined as the sum of the squares of the non-diagonal elements:
, where \n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tb\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t are elements of the matrix B. In particular \n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\to\n\t\t\t\t\t\t\t\t\tf\n\t\t\t\t\t\t\t\t\tf\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tU\n\t\t\t\t\t\t\t\t\t\tT\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tQ\n\t\t\t\t\t\t\t\t\t\tZ\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tM\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\tU\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t=\n\t\t\t\t\t\t\t\t\to\n\t\t\t\t\t\t\t\t\tf\n\t\t\t\t\t\t\t\t\tf\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tΔ\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t=\n\t\t\t\t\t\t\t\t\t0\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t since \n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tQ\n\t\t\t\t\t\t\t\t\t\tZ\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tM\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t=\n\t\t\t\t\t\t\t\t\tU\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tΔ\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tU\n\t\t\t\t\t\t\t\t\t\tT\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t and U is orthonorgal. For any matrix set M and orthonormal matrix V, the joint diagonality criterion is defined as:
, which measures diagonality far from the matrix V and bring the cumulants matrices from the set M.\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t
\n\t\t\t
\n\t\t\t\t
3.3. Pattern classification
\n\t\t\t\t
At this point, the system has retrieved and processed as much useful information from the input images as PCA or JADE-ICA can. Now, the classification component uses this information to take a decision on behalf the gender of the input face. To do so, this work uses the well known SVM (Schölkopf & Smola 2002).
\n\t\t\t\t
The SVM is a structural risk minimization learning method of separating functions for patter classification, that was derived from the statistical learning theory elaborated by Vapnik and Chervonenkis (Vapnik 1995). In other words, SVM is a tool able to differ between classes characterized by parameters, after a training process.
\n\t\t\t\t
What makes this tool powerful is the way it handles non-linearly separable problems. In these cases, the SVM transforms the problem into a linearly separable one by projecting samples into a higher dimensional space. This is done using an operator called kernel, which in this study is set to be a Radial Basis Function (RBF). Then, efficient and fast linear techniques can be applied in the transformed space. This technique is usually known as the kernel trick, and was first introduced by Boser, Guyon y Vapnik in 1992 (Yan et al. 2004).
\n\t\t\t\t
For simplicity, we configure the SVM to work as a verification system. In this particular case, the negative class (-1) corresponds to males and the positive class (1) to females. As a result, the classifier answers the “is this female?” question. The output of the SVM is a numeric value between -1 and 1 named score. A threshold has to be set to define a border between male (-1) and female (1) responses.
\n\t\t\t\t
However, if all samples are used for training, there are no new samples for setting the threshold, and using the training samples for this purpose will lead to bad adjustments. Therefore, a 20 iterations hold-4-out (2 from each class) cross-validation procedure is used over the training samples to obtain 80 scores. These scores are then used to set the system’s threshold to the equal error rate (EER) point, which is the point where False Acceptance Rate (FAR) and False Rejection Rate (FRR) coincide. The system’s margin, defined as the distance of the closest point to the threshold line, is also measured. All these measures are referred to as validation measures.
\n\t\t\t\t
When the threshold is finally set, the SVM is trained using all available samples. Because no big differences exist in the number of training samples used for this final training and the validation, we can expect the system to have a very similar threshold than that computed before.
\n\t\t\t\t
In particular, the Least Squares Support Vector Machines (LS-SVM) implementation is used (Suykens 2002). Given a training set of N data points\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tk\n\t\t\t\t\t\t\t\t\t\t=\n\t\t\t\t\t\t\t\t\t\t1\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tN\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t, where \n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t is the k-th input sample and \n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t its corresponding produced output, we can assume that:
where \n\t\t\t\t\t\t\n\t\t\t\t\t\t\tϕ\n\t\t\t\t\t\t\n\t\t\t\t\t is the kernel function that maps samples into the higher dimensional space. The LS-SVM solves the classification problem:
where \n\t\t\t\t\t\t\n\t\t\t\t\t\t\tμ\n\t\t\t\t\t\t\n\t\t\t\t\t and \n\t\t\t\t\t\t\n\t\t\t\t\t\t\tζ\n\t\t\t\t\t\t\n\t\t\t\t\t are hyper-parameters related to the amount of regularization versus the sum square error. Moreover, the solution of this problem is subject to the constraints:
Because every preprocessing, parameterization, and classification technique may have its own optimal point in terms of configurable parameters, the system optimizes itself automatically using the validation results. Three parameters need to be optimized every time the system is trained: the number of kept principal/independent components for the parameterization component, and the regularization and kernel parameter for the LS-SVM. An exhaustive search is done along a configuration volume looking for the optimal point, defined as the point which provided a lower validation error rate and a larger validation system\'s margin.
\n\t\t\t
\n\t\t
\n\t\t
\n\t\t\t
4. Experiments and results
\n\t\t\t
In order to obtain more reliable results, a 10-Folds cross-validation procedure was run on the experiments. Frontal facial images were taken from the FERET database, and cropped manually using ground information provided by the database. An example of this crop can be seen in figure 7. For each iteration the system was optimized and trained as it was explained in the previous section. Moreover, eight different systems, made out of every possible configuration between the four preprocessing components and the two parameterization tools were tested. All these facts made the experimental time impractical when the whole FERET database was used. To reduce this time a set of 1600 images (800 males and 800 females) were randomly selected.
\n\t\t\t
\n\t\t\t\tFigures 8 and 9 show the results obtained when PCA and JADE-ICA were applied using all different preprocessing components. Numbers specified on the legend represent the areas under the curves. The EER points are given in table 1. In general terms, all preprocessing techniques provide similar vehabiors, although differences were magnified when JADE-ICA was used. In particular, PP-1 and PP-2 performed almost identical.
\n\t\t\t
A second experiment was run combining the scores obtained with each preprocessing technique. In particular, the sum and the product score fusion techniques were applied. The former combines the scores by a sum before apply the decision threshold. The later performs a product after sifting the scores to range [1 3] instead of [-1 1], and then apply the threshold. The obtained results can be seen in table 1, and in figures 10 and 11.
\n\t\t\t
Figure 8.
Curves obtained for each preprocessing and PCA. In legend numbers represents the area under the curve.
\n\t\t\t
Figure 9.
Curves obtained for each preprocessing and JADE-ICA. In legend numbers represents the area under the curve.
\n\t\t\t
Figure 10.
Curves obtained for each score fusion of each preprocessing technique and PCA. In legend numbers represents the area under the curve.
\n\t\t\t
Figure 11.
Curves obtained for each score fusion of each preprocessing technique and PCA. In legend numbers represents the area under the curve.
\n\t\t\t
\n\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t\t\t\t
Preprocessing
\n\t\t\t\t\t\t
Parameterization
\n\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t\t\t\t
PCA
\n\t\t\t\t\t\t
JADE-ICA
\n\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t\t\t\t
PP-1
\n\t\t\t\t\t\t
5.54%
\n\t\t\t\t\t\t
9.97%
\n\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t\t\t\t
PP-2
\n\t\t\t\t\t\t
6.44%
\n\t\t\t\t\t\t
10.54%
\n\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t\t\t\t
PP-3
\n\t\t\t\t\t\t
10.83%
\n\t\t\t\t\t\t
14.65%
\n\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t\t\t\t
PP-4
\n\t\t\t\t\t\t
7.96%
\n\t\t\t\t\t\t
16.50%
\n\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t\t\t\t
All preprocessing fusion
\n\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t\t\t\t
Sum fusion
\n\t\t\t\t\t\t
4.37%
\n\t\t\t\t\t\t
6.99%
\n\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t\t\t\t
Prod fusion
\n\t\t\t\t\t\t
4.44%
\n\t\t\t\t\t\t
7.12%
\n\t\t\t\t\t
\n\t\t\t\t
Table 1.
EER points for every combination of preprocessing and parameterization methods.
\n\t\t
\n\t\t
\n\t\t\t
5. Conclusion
\n\t\t\t
In this chapter, we have introduced the gender classification problem, from which a system automatically determines whether an input face corresponds to a female or a male. We have overview its characteristics as a bi-class problem and its relevance within the biometrics field. We have also introduced a biometric system with a simple architecture based on four preprocessing blocks, PCA and JADE-ICA parameterization, and an LS-SVM classifier. This system was used to test the variations of system\'s performance produced by wide changes on the preprocessing stage. The obtained results were consistent with other works, showing that in general there is little or no effect on the system\'s performance when these changes are applied.
\n\t\t\t
Why do these big changes on the preprocessing stage provide similar results? Do they enhance different qualities of the facial images with similar level of discrimination? In a willing to through clarity on this intriguing characteristic of the gender recognition problem, we performed another experiment fusing scores obtained for each preprocessing technique. Both add- and product-fusion methods produced a small improvement in the system\'s behavior, of around 2% of reduction of EER comparing to the best preprocessing block.
\n\t\t\t
This may suggests that all configurations are performing basing on the same or very alike information. Considering the massive differences between images resulting from each preprocessing block (figure 7), it is possible that this discriminant information is mostly related to very global and salient facial features, such as facial shape. This possibility is also consistent with the fact that image size does not affect gender classification performance. In fact, if facial shape is to be used, it does not matter whether the system has information coming from the inside of the face, or not.
\n\t\t
\n\t
Acknowledgments
\n\t\t\t
This work has been partially supported by by “Cátedra Telefónica ULPGC 2009-10”, and by the Spanish Government under funds from MCINN TEC2009-14123-C04-01.
\n\t\t
\n',keywords:null,chapterPDFUrl:"https://cdn.intechopen.com/pdfs/17748.pdf",chapterXML:"https://mts.intechopen.com/source/xml/17748.xml",downloadPdfUrl:"/chapter/pdf-download/17748",previewPdfUrl:"/chapter/pdf-preview/17748",totalDownloads:2407,totalViews:124,totalCrossrefCites:0,totalDimensionsCites:0,totalAltmetricsMentions:0,impactScore:0,impactScorePercentile:27,impactScoreQuartile:2,hasAltmetrics:0,dateSubmitted:"November 15th 2010",dateReviewed:"March 30th 2011",datePrePublished:null,datePublished:"August 9th 2011",dateFinished:null,readingETA:"0",abstract:null,reviewType:"peer-reviewed",bibtexUrl:"/chapter/bibtex/17748",risUrl:"/chapter/ris/17748",book:{id:"456",slug:"advanced-biometric-technologies"},signatures:"Marcos del Pozo-Baños, Carlos M. Travieso, Jaime R. Ticay-Rivas, and Jesús B. Alonso",authors:[{id:"27170",title:"Prof.",name:"Carlos",middleName:"M.",surname:"Travieso-Gonzalez",fullName:"Carlos Travieso-Gonzalez",slug:"carlos-travieso-gonzalez",email:"carlos.travieso@ulpgc.es",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/27170/images/system/27170.jpeg",institution:{name:"University of Las Palmas de Gran Canaria",institutionURL:null,country:{name:"Spain"}}},{id:"44522",title:"M.Sc.",name:"Marcos",middleName:null,surname:"Del Pozo-Baños",fullName:"Marcos Del Pozo-Baños",slug:"marcos-del-pozo-banos",email:"mpozo@idetic.eu",position:null,profilePictureURL:"//cdnintech.com/web/frontend/www/assets/author.svg",institution:null},{id:"55963",title:"Dr.",name:"Jesús B.",middleName:null,surname:"Alonso",fullName:"Jesús B. Alonso",slug:"jesus-b.-alonso",email:"jalonso@dsc.ulpgc.es",position:null,profilePictureURL:"//cdnintech.com/web/frontend/www/assets/author.svg",institution:{name:"University of Las Palmas de Gran Canaria",institutionURL:null,country:{name:"Spain"}}},{id:"87693",title:"M.Sc.",name:"Jaime",middleName:"Roberto",surname:"Ticay-Rivas",fullName:"Jaime Ticay-Rivas",slug:"jaime-ticay-rivas",email:"jrticay@gmail.com",position:null,profilePictureURL:"//cdnintech.com/web/frontend/www/assets/author.svg",institution:{name:"University of Las Palmas de Gran Canaria",institutionURL:null,country:{name:"Spain"}}}],sections:[{id:"sec_1",title:"1. Introduction ",level:"1"},{id:"sec_2",title:"2. Biometric gender classification",level:"1"},{id:"sec_2_2",title:"2.1. Facial image databases",level:"2"},{id:"sec_3_2",title:"2.2. State of the art",level:"2"},{id:"sec_5",title:"3. The proposed system model",level:"1"},{id:"sec_5_2",title:"3.1. Preprocessing methods",level:"2"},{id:"sec_6_2",title:"3.2. Parameterization techniques",level:"2"},{id:"sec_6_3",title:"3.2.1. Principal Component Analysis (PCA)",level:"3"},{id:"sec_7_3",title:"3.2.2. Joint Approximate Diagonalization of Eigen-matrices Independent Component Analysis (JADE-ICA)",level:"3"},{id:"sec_9_2",title:"3.3. Pattern classification",level:"2"},{id:"sec_10_2",title:"3.4. System optimization",level:"2"},{id:"sec_12",title:"4. Experiments and results",level:"1"},{id:"sec_13",title:"5. Conclusion",level:"1"},{id:"sec_14",title:"Acknowledgments",level:"1"}],chapterReferences:[{id:"B1",body:'\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\tDu\n\t\t\t\t\t\t\tP.\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\tXiaoqing\n\t\t\t\t\t\t\tD.\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t2008 The Application of Decision Tree in Gender Classification. Congress on Image and Signal Processing, 4 no., 657\n\t\t\t\t\t660 , 27-30 May 2008.\n\t\t\t'},{id:"B2",body:'\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\tPhung\n\t\t\t\t\t\t\tS. 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IDeTIC - Institute for Technological Development and Innovation in Communications,ULPGC - Universidad de Las Palmas de Gran Canaria, Spain
'},{corresp:null,contributorFullName:"Carlos M. Travieso",address:null,affiliation:'
IDeTIC - Institute for Technological Development and Innovation in Communications,ULPGC - Universidad de Las Palmas de Gran Canaria, Spain
'},{corresp:null,contributorFullName:"Jaime R. Ticay-Rivas",address:null,affiliation:'
IDeTIC - Institute for Technological Development and Innovation in Communications,ULPGC - Universidad de Las Palmas de Gran Canaria, Spain
'},{corresp:null,contributorFullName:"Jesús B. Alonso",address:null,affiliation:'
IDeTIC - Institute for Technological Development and Innovation in Communications,ULPGC - Universidad de Las Palmas de Gran Canaria, Spain
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1. Introduction
Particle Swarm Optimization (PSO) is a population-based, stochastic optimization algorithm. It is modelled after the intelligent behavior patterns found in swarms of animals when they manage their biological needs. It was first introduced in 1995 [1], and since then many enhancements and new versions of the algorithm have appeared. The model originates from the behavior of flocks (swarms) of birds when in search of food sources. It was inspired by research carried out by Heppner and Grenander [2], in order to experiment on a “cornfield model”. Exploiting these studies, Kennedy and Eberhart developed the PSO algorithm, in which the members of the swarm, called particles have some form of memory and common knowledge and are motivated by a common goal; in the mathematical framework this goal is the global optimum of the objective function of the optimization problem. The particles’ positions represent the solutions, and depending on the method, they can also have velocity or other characteristics, or even a societal structure. The swarm acts in alliance, aims to be effective, and there exists enough individuality to achieve diversity in possible solutions. By design, particle swarm optimization is inseparable from Swarm Intelligence. The swarm, as defined in literature, is designed to follow the basic principles of Swarm Intelligence, namely proximity, quality, diverse response, stability and adaptability.
In this chapter, two PSO algorithms are presented. First, the original PSO, which utilizes a global best position g∗ and an individual best position x∗ for the particles, which are described by both their position and velocity. This is considered to be the basic PSO algorithm, and the version chosen [3] also utilizes an inertia mechanism to describe the particles’ movement. The second algorithm is an enhancement of the Accelerated Particle Swarm Optimization (APSO) algorithm, referred to as the Chaotic APSO (CAPSO) [4]. In this algorithm, the particles update their position in a single step and are only described by position, not velocity vectors. Additionally, they only use the global best position g∗ as an attraction to the optimum. Specified parameters get updated to fine tune the process, and precisely, the attraction parameter β updates through the use of chaotic maps.
Both aforementioned algorithms have been applied to wave scattering problems, and results of numerical implementations alongside with conclusions are provided. Precisely, we consider the cloaking problem concerning the excitation of a layered spherical medium with perfect electric conducting (PEC) core by an external dipole. The main purpose is to determine suitable parameters of the magneto-dielectric layers covering the PEC core so that the scattered far-field is significantly reduced for a wide range of observation angles. Obtained optimal designs demonstrating efficient cloaking performance are presented exhibiting reduced values of the bistatic scattering cross section for realizable coatings parameters. It is particularly stressed that the CAPSO determines optimal values of the scattering problem’s variables, which yield highly-efficient cloaking designs by employing ordinary coatings materials.
PSO algorithms in computational methodologies and engineering applications involving electromagnetic waves were initially developed in [5, 6], where implementations in antenna design were also proposed. A quantum PSO algorithm, based on Quantum Mechanics rather than the Newtonian rules considered in the original versions of the algorithm, was developed in [7] and applied for finding a set of infinitesimal dipoles producing the same near and far fields of a circular dielectric resonator antenna. A molecular dynamics formulation of the PSO algorithm leading to a physical theory for the swarm environment was presented in [8] and applied to problems of synthesis of linear array antennas. Variants of PSO algorithms with relevant applications in electromagnetic design problems, like microwave absorbers and base station antenna optimization for mobile communications were analyzed in [9]. Specifically, concerning the cloaking behavior of layered media, related optimization problems were investigated in [10, 11, 12, 13, 14, 15, 16]. Optimization techniques for meta-devices design are overviewed in [17].
2. Particle Swarm Optimization (PSO)
In this section, the basic principles of Particle Swarm Optimization (PSO) are presented and an in depth description of the algorithms that have been developed and applied for the considered cloaking problems is given. After discussing the theoretical basis of the swarm optimization method and its ties to Swarm Intelligence, the PSO algorithm and the chaotic-enhanced version (CAPSO) of the accelerated particle swarm optimization (APSO) algorithm are described.
2.1 Introduction to PSO
PSO is a population-based stochastic optimization algorithm, modelled after the behavior of swarms of animals, like flocks of birds, swarms of various types of insects or ants or school of fish [18]. In literature, it is also categorized as a metaheuristic algorithm. Usually, the population is referred to as a swarm. These types of methods are also considered to be and referred to as behaviorally-inspired, opposed to evolutionary-based methods like genetic algorithms, although some parallels can be drawn between them, with regards to their inner workings. Another similar research field is artificial life. The term, as well as the algorithm, was originally proposed in 1995 [1] and although PSO’s precursor was the study and simulation of animal behavior (even in the hopes of studying human social behavior), it grew into an optimizer, with a simple, yet well-defined description. By definition, PSO is indissolubly linked to Swarm Intelligence.
The appeal of swarm optimizers is due to numerous reasons. There exist many types of biological swarms, so one can safely assume that they constitute a promising pool of inspiration and resources to draw methods and conclusions from. The global adaptive behavior of the swarm, and its co-operational behavior and decision making, is practical but not strictly utilitarian, since a swarm behaves with fluid and elegant coordination. Additionally, the way a biological swarm acts can be clearly and directly perceived by humans. Thus, we have a better understanding of the animals’ purpose, goals, communication and utility unlike other natural phenomena, which can be way more abstract, complicating the creation of a well-structured model or method.
Since the initial introduction of PSO, several variations of the method have been introduced. A plethora of algorithms have been and are still being designed with different parameters and applications in mind, in order to adjust to specific problems. These numerous variants are widely used and examined, and, thus, PSO has grown to be a very effective technique. In the following subsection, a more generic description of the swarm and its behavior is presented, while detailed descriptions of specific algorithms are given in the sequel.
2.1.1 The Particle Swarm
The term “particle” refers to the points in the n-dimensional space (where n is the number of variables of the objective function) which represent the biological entities of the swarm. Let us assume that the representative animal species is birds. The swarm consists of the entirety of the particles, making up the population. The particles have neither mass, nor volume and although they could be considered points in space, the term particle has been chosen as a good compromise, due to its more active usage in literature [1].
Each particle maintains information about two characteristics; its position x and velocity u. The position is strictly the most important characteristic, since it represents the solutions to the objective function of the optimization problem. The particles also have some common memory of useful information, since they share information regarding the best position the swarm has achieved (based on the objective function), referred to as the “global best” g∗. In nature, this knowledge could refer to food, shelter or destination. Depending on the variant or type of PSO algorithm being used, they can also remember their individual best position x∗, or a set of best positions if they follow a different type of structure, or even a best position that represents their social clan and/or leader.
According to [19], the biological swarm has three specific qualities. First, cohesiveness: the members are not unrelated to each other and all of them are part of the same group, thus to an extent, they “stick together”. Second, there is separation, the members actively try to not collide with each other and move with some respect to the average distance between them. Last, there is alignment, the whole population actively tries to move towards the same direction as a group effort. In Biology, this is the source of food, while in Optimization it is the optimum of the problem. Of course, since particles are designed to be without mass and volume, separation is not a physical quality the swarm is forced to have. When converging to a solution, all particles end at or near to the specific position representing this solution. However, separation exists as a principle, since particle “collision” does not hinder their movement in any way, shape or form. Particles are separate entities to each other to a certain degree since they are created with their individual attributes (e.g. initial positions, individual best, clan leader and more, depending on the algorithm) and act accordingly, having a degree of autonomy, while searching in unison with respect to the swarm.
2.1.2 Basic Principles of Swarm Intelligence
In order to clearly establish the link between PSO and Swarm Intelligence, we present a comprehensible list of Swarm Intelligence principles, in reference to Millonas’ categorization [1, 18, 20]. Let us refer to a group of entities that collectively act and behave. This group has Swarm Intelligence if these principles are true.
Proximity principle. The members of the group should be able to handle and do elementary space and time computations. This means that the group can behaviorally respond to environmental stimuli and changes. Also, they should be able to do so in order to better conduct their main utilities and functions which are specific to this group. Such activities vary, depending on the group, for example a swarm of ants could have a main utility of food foraging.
Quality principle. The group should not only react to time and space stimuli, but also check for quality factors and parameters, e.g. safety.
Principle of diverse response. The group should not respond to its environment in an absolutely ordered manner. There should be safety locks, and insurance policies for it to survive in case of unpredicted changes and fluctuations in the environment. Resources should not all rely to a single point of focus. Therefore, the swarm must be prepared to act and respond with diverse and alternative solutions.
Principle of stability. The group as a whole, should not reform its behavior patterns into a completely alternate mode every time a change happens, since such an intense structural and behavioral change wastes too much energy, and might eliminate the possibility of reaching good results.
Principle of adaptability. However, the group should also be able to switch its behavioral mode, provided this change is a positive one and the group has ways of knowing so.
One can observe that stability and adaptability are principles that go hand-in-hand and the best strategy to approach, is to safely explore a viable middle ground. Some level of randomness or noise should exist in the group, to a degree that diverse response is allowed to happen. That is the reason why such parameters are usually very important to the algorithms and can dramatically change their results.
PSO dictates that the swarm acts in a way which is complicit with the aforementioned principles. In the original PSO publication, Kennedy and Eberhart do confirm that the PSO algorithm has been designed to function in this manner. Similar explanations and proofs were provided in literature [1, 18]. As it has been briefly mentioned, in PSO, particles maintain their position and velocity, and have the ability to react to environmental time and space stimuli in order to update them. They do so in time steps-iterations, thus following the proximity principle. The swarm reacts to the global best value g∗ alongside with other quality factors when doing said updates, so it enforces the quality principle. Said quality factors, do not prevent the diverse response, because the swarm avoids behaving in an excessively restricted manner. This is encouraged by diversity and noise existing within the swarm. Lastly, the swarm bases its behavioral change(s) on a well-defined criterion (which includes the global best position g∗), thus providing adaptability without jeopardizing the swarm’s stability. The mode of behavior changes when it is beneficial and cost-effective.
2.2 The PSO algorithm
In this section, we refer to the original PSO algorithm [1], alongside with the upgrade proposed in 1998 [3] which utilizes an inertia mechanism.
2.2.1 Description
The PSO algorithm follows all the principles and characteristics mentioned so far. By default, a maximization optimizer is considered due to the way the model works, but there exist methods to effectively utilize the algorithm in order to find minima as well.
The behavior of the flock was heavily inspired by and based upon Heppner’s [2] simulation of a bird flock, referred to as a cornfield model or cornfield vector. Heppner wanted to simulate the way a flock of birds moves while searching for food (namely “cornfield” in the simulation). The birds’ behavior in real life, hints to the existence of what we refer to as a common sense or knowledge, meaning that members of the flock have the ability to share knowledge originating from their peers without having experienced it themselves. This serves as both a cognitive function and a means of communication. Very often, we do witness this phenomenon; flocks of birds can discover a new bird feeder in their area in a matter of few hours, and an increasing number of them will systematically start visiting it. This behavior was modelled in the simulation, in which the birds were given two types of memory. For the flock’s memory of food sources they were given what we previously referred to as the global best g∗ and for their individual memory, they kept information of the best position they have individually visited, their x∗. There were also extra parameters to adjust how effectively each memory spot affects the birds’ movement and behavior.
Kennedy and Eberhart [1] utilized Heppner’s simulation model, and designed the PSO algorithm in order to use these advantageous observations. So, in the PSO algorithm, the model is as follows.
When particles locate a good solution to the optimization problem, this knowledge is transmitted to the whole swarm, meaning that the g∗ value is known to each member.
All particles do gravitate towards good solutions, but not in an absolute forced way, because,
all particles maintain their personal memory spot for their own value x∗, thus preserving some ability for independent thinking.
The particles move with respect to Newton’s laws of motion, while there exist parameters to insert some randomness. There exist also learning rates that the particles adhere to.
In 1998, Shi and Eberhart [3] proposed strategies on how to fine-tune the parameters of the original PSO algorithm. Particularly, they suggested the use of an inertia weight mechanism θ applied to the particles’ movement because it was found in experimentation that the particle velocities built up too fast and the maximum of the objective function can be skipped. Usually, the inertia decreases in a linear manner while the iterations of the algorithm run, and it gets updated once per iteration i. For the inertia, the values θmax=0.9 and θmin=0.4 are commonly used [19].
θi=θmax−θmax−θminimaxiE1
Therefore, the velocity and position updates are described, respectively, in the following formulae, with respect to iteration i:
ui=θiui−1+c1r1x∗−xi−1+c2r2g∗−xi−1E2
xi=xi−1+ui,E3
where the parameters c1 and c2 are the cognitive (individual) and social (group) learning rates and are usually assumed to both be 2, so that the particle overflies the target approximately half of the time. It is interesting to note that if c1 and c2 are different to each other, then the particles will in time favor one type of best position (or behavior) over the other. In a way, this would conceptually translate to the particles choosing to be more selfish than social and vice versa. This could lead to less optimal solutions than the ones expected. The parameters r1 and r2 are uniformly distributed random numbers in the range from 0 to 1.
2.2.2 Algorithm
After describing the model of the algorithm, a concrete and defined algorithm can be presented for the computational implementation. The algorithm is depicted in pseudo code form in Figure 1.
Figure 1.
The PSO algorithm pseudo code.
Regarding the various parameters, we make the following remarks. Usually a size of 20 to 30 for N is assumed, but these numbers can vary depending on the optimization problem. The bigger the swarm, the more evaluations of the objective function f are made during each iteration, thus due to the computations, the algorithm becomes more time consuming. From a programmer’s point of view, f does not necessarily need to be an input, however, it is depicted in this manner for reasons of clarity.
2.3 The CAPSO algorithm
As we have previously mentioned, in the original version of the PSO algorithm, both a global (g∗) and an individual best (x∗) are used, with the particles’ position being greatly affected by them. The accelerated particle swarm optimization algorithm (APSO) however, introduced by Yang [21], follows a different approach. The chaos-enhanced particle swarm optimization, or chaotic APSO (CAPSO) is a variation of the APSO algorithm.
2.3.1 Accelerated Particle Swarm Optimization
It is noted that the individual best x∗ in PSO, acts as a creator of diversity in the swarm. That is not necessarily the only purpose of the individual best, but it is a very prominent one. Thus, this diversity could be recreated by utilizing randomness to bypass the use of the individual best. There exist some algorithms that belong in this more “simplistic” philosophy, and try to use only the most necessary parameters and formulae. The accelerated particle swarm optimization algorithm (APSO), follows this route. APSO has been applied in many optimization problems and is a solid method with good results. One can safely develop and use APSO, and similar methods or variants, while keeping in mind that PSO, or even more its standard versions, is still in general a better option if the optimization problem of interest is highly nonlinear and multimodal [21].
Ergo, the APSO algorithm only uses the global best g∗ to generate the velocity vector u, resulting to using a simpler mathematical formula. For a specific particle, during the i−th iteration, the velocity is:
ui=ui−1+αr−1/2+βg∗−xi−1E4
where r is a random variable with values from 0 to 1, and the 1/2 is used as a means of convenience. It is suggested [21], that a normal distribution αri is used, where r is drawn from N(0,1). Thus, velocity and positions updates are given, respectively, by
ui=ui−1+βg∗−xi−1+αri−1,E5
xi=xi−1+uiE6
In [21], the following simplified formula is also suggested for the particle location update in a single step:
xi=1−βxi−1+βg∗+αri−1,E7
hence there is no need of utilizing structs or vectors for the velocity, while separate initializations and updates are also avoided.
The typical parameter values for this accelerated PSO are α∈0.1,0.4 and β∈0.1,0.7. More generally, we must keep in mind that these parameters should scale with respect to the scales of the problem variables. A further improvement to APSO [21] is to reduce the randomness as iterations proceed. This means that we can use a monotonically decreasing function specifically for the parameter α, e.g.
α=α0γt,0<γ<1E8
or
α=α0e−γt.E9
Other non-increasing functions αt can be used like the example provided in code in [21].
2.3.2 Chaos-Enhanced APSO
Gandomi et al. proposed a variation of the APSO algorithm, the chaotic APSO (CAPSO) [4]. According to the study, the attraction parameter β in (Eq. (7)) is crucially important in determining the speed of the convergence and how the algorithm behaves, since this parameter characterizes the variations of the global best attraction. A well tuned β is of great importance. After parametric investigations, it is suggested that β should be in 0.2,0.7 for most problems solved by APSO. Additionally, it is noted that the parameter β has no practical reason of remaining a constant. On the contrary, a varying β can offer an advantage in terms of convergence speed and algorithm behavior.
The method suggested for tuning the parameter β is chaotic maps. In Mathematics, chaotic maps are evolutionary functions that exhibit some sort of chaotic behavior [22]. Chaotic maps often occur in the study of dynamical systems. Also, they are used to generate fractals. They can change in time in a continuous or discrete manner, but usually chaotic maps are discrete ones. Therefore, they take the form of iterated functions. Chaotic maps are normalized, their variations are always between 01, so they can safely be used for tuning the parameter β.
In the original proposal of CAPSO [4], many chaotic maps were tested in terms of convergence and effectiveness. The results were listed in detail, and it was noted that the Sinusoidal map was the best performing one, and the Singer map was the second best. Consequently, the Sinusoidal map is the best choice for applications. It was noted that chaotic maps with a unimode centered around their middle tend to produce better results, and Sinusoidal and Singer maps fall into this category. They are as follows:
Sinusoidal Map:
xk+1=axk2sinπxkE10
As an alternative, the following simplified form has also been suggested and applied [4, 23]:
xk+1=sinπxkE11
Singer Map:
xk+1=μ7.86xk−23.31xk2+28.75xk3−13.302875xk4,E12
where μ∈0.9,1.08.
2.3.3 The CAPSO Algorithm
Having described the basis of the APSO algorithm, as well as the improvements added from chaotic maps, the CAPSO algorithm is now presented in pseudo code form in Figure 2.
Figure 2.
The CAPSO algorithm pseudo code.
The following information is provided for the various paramaters. Usually a size of 40 for N is considered sufficient, but these numbers can vary depending on the optimization problem. The parameter α gets updated through a chosen αt (which is a monotonically decreasing function or a non-increasing function in general). For α, the initial value depends on the scale of the problem variables and on αt. One can apply the values proposed for APSO, or alternatively α=10 can be chosen for an initial value as a starting point. Testing with different initial values is encouraged. The parameter β is updated through a chaotic map, preferably the Sinusoidal map. In the original paper [4], the maximum iteration number is suggested to be 250. One must keep in mind that depending on the problem, these values might have to be re-evaluated and re-adjusted.
2.4 Development suggestions
Many suggestions can be made regarding the robustness of algorithms, as well as the speed, effectiveness and organization of the code. All these highly depend on the programming language, development technique, programmer expertise, computational load of the optimization problem and numerous more parameters. When developing these algorithms, we must take into consideration all of the above, and more, since applications can greatly diversify from one another.
Below, two suggestions are made regarding the PSO and APSO/CAPSO algorithms, which, when applied, improved the testing process on a complicated wave scattering optimization problem detailed below. However, they are not heavily dependent on the nature of said optimization problem, and they could be proven to be helpful regardless.
Application of constraints/bounds. A method that reassures that the variables remain in their allowed bounds is vital. This is very common in optimization. If a variable crosses a bound, the lower or higher permitted value can be enforced, with respect to which bound was crossed. This reassures that the swarm will not go out of bounds if it gets driven to do so by a nearby invalid optimum. Additionally, it ensures that the final output of the algorithm is a valid and applicable one, even if it is not the best optimum. For complex optimization problems, constraint/bound checking can be complicated, if for example the variables have to follow specific rules, or have specific characteristics in relation to each other. We can see this technique being applied in APSO’s code [21].
Convergence checking. By default, in most PSO related algorithms, it is implied that the algorithm stops when it reaches a pre-defined maximum of iterations. However, many times, the swarm can find a solution faster than that. Thus, if there is a convergence criterion (representing the degree in which the population agrees on a solution), it can be applied as an end condition for the algorithm. For example, a very common convergence criterion is standard deviation.
3. Particle swarm optimization in wave scattering problems
In this section, PSO optimizations to representative applications of wave scattering theory are presented. Precisely, we investigate the electromagnetic cloaking of spherically layered media excited by an external source. The optimizations concern the determinations of the physical (material) and geometrical characteristics of the layered medium so that the scattered far field generated by the layered medium is significantly reduced.
The scattering geometry is depicted in Figure 3. It consists of a layered spherical medium V with external radius a1. The interior of V is divided by P−1 concentric spherical interfaces r=app=2…P into P−1 homogeneous magneto-dielectric layers Vpp=1…P−1, consisting of materials with real relative dielectric permittivities εp and magnetic permeabilities μp, and surrounding a perfect electric conducting (PEC) core (layer VP). The exterior V0 of V has permittivity ε0, permeability μ0, and wavenumber k0. Medium V is excited by an external magnetic dipole, with position vector r0 on the z-axis and dipole moment along the direction ŷ.
Figure 3.
Geometrical configuration of the considered spherically-layered medium excited by an external dipole.
The exact solution of the considered scattering problem was determined in [24, 25, 26] by means of a combined Sommerfeld and T-matrix methodology in conjunction with suitable eigenfunctions expansions. Specifically, the electric fields in each spherical shell are decomposed into primary and secondary components, which are then expressed as series of the spherical vector wave functions. The unknown coefficients in the expansions of the secondary fields are determined analytically by imposing the transmission boundary conditions on the interfaces of the spherical shells and applying a T-matrix method. It is emphasized that the exact solution of the scattering problem (here this is obtained in the form of a Mie series) is crucial for the fast and efficient implementation of the PSO algorithm in the present setting.
By applying the above-described methodology, we obtain the following expression of the total scattering cross section
σtr0=14π∫S2σθϕr0dsr̂=2πk02∑n=1∞2n+1γn2+δn2,E13
where S2 denotes the unit sphere in R3, and σθϕr0 is the bistatic (differential) scattering cross section given by
with Pn1 the first-order Legendre function of degree n, and
γn=hnk0r0h0k0r0inαn,δn=ĥ\'nk0r0ĥ0k0r0in−1βn,E17
where hn is the spherical Hankel function of order n, and ĥnz=zhnz. The coefficients αn and βn are defined in [24].
The objective function we consider in the optimization schemes is the normalized total scattering cross sectionσtr0/πaPEC2, where aPEC is the radius of the PEC sphere to be cloaked when covered by suitable coating magneto-dielectric layers. Achieving small values of this objective function provides efficient designs in terms of significant reductions in the scattered far-field. In [27], the backscattering cross section σθ0r0 was used as the objective function. The latter can yield efficient designs only in traditional monostatic scenarios, while the present consideration of the total scattering cross section as the objective function shows the actual scattered far-field’s characteristics for all observation angles.
For the numerical solution of the scattering problem, we used the code developed in [24], which is valid for an arbitrary number P of layers. The above-described PSO algorithms were implemented in MATLAB®. The swarms were MATLAB structs or arrays for which we followed the steps of Algorithms 1 or 2 presented above. The components of the position vector consisted of the optimization variables ap of the radii, εp of the dielectric permittivities, and μp of the magnetic permeabilities of the first P−1 dielectric layers. The radius aP of the PEC core was chosen constant at k0aP=k0aPEC=2π (one free-space wavelength). In this way, for a medium with P layers, the number of optimization variables for the particles position is 3P−1.
The conducted experiments focused on small values of P in order to obtain designs with a relatively small number of coating layers, which also facilitate the fabrication procedure. For the variations of the variables of the optimization problem, different ranges were considered. Particularly, the differences k0ap+1−ap between two consecutive layers radii were considered in π10π or π10π2, while the values of the permittivities εp and permeabilities μp in [0.5,10], [0.4,5] or [0.5,5].
The external magnetic dipole was taken at r0=5aPEC. The two above-described particle swarm optimization algorithms were developed to minimize the normalized total scattering cross section for a spherical medium with P=3 or 4 total number of layers. The actual reductions in the far-field with respect to the angles of observation are demonstrated in Figures 4 and 5, depicting the normalized bistatic scattering cross sections σθϕr0/πaPEC2 versus the angle θ in the xOz and yOz planes, respectively. In these figures, the corresponding cross section curves for a bare (containing no coating layers) PEC sphere are also shown, for comparison purposes.
Figure 4.
Normalized bistatic cross section in the xOz plane versus the angle θ for P=3 (left panel) and P=4 (right panel) optimized layers with parameters computed by the classic PSO and the CAPSO algorithms.
Figure 5.
As in Figure 4, but for the normalized bistatic cross section in the yOz plane.
Significant reductions in the far-field contributions with respect to the bare PEC sphere are observed for large ranges of the observation angles. Particularly, the CAPSO algorithm determines optimal variables corresponding to notably smaller objective function’s values for a wide range of observation angles than the classic PSO algorithm. Moreover, the improved performance of the CAPSO algorithm is exhibited by the fact that the attained solutions yield reduced scattered far-field’s values for all angles in the yOz plane and for nearly all angles in the xOz plane (apart from a resonance region of the bare PEC cross sections curves around θ=140o). Another interesting conclusion is that the optimal solutions for P=3 (two covering layers) generate smaller–in general–far field’s values for a wider angular range than the optimal solutions for P=4 (three covering layers).
Besides, the effectiveness of the cloaking performance of the layered medium with respect to variations of the dipole’s distance from the external boundary r=a1 of the medium as well as the sensitivity of the results versus inevitable fabrications imperfections are also important to be examined. Some preliminary numerical results to this direction were presented in [28] by applying the classic PSO algorithm. Extensions to spherical antennas [29] and inhomogeneous media [30] can also be considered by modifying and extending the algorithms presented in this work.
4. Conclusions
Since its introduction to the scientific community, particle swarm optimization (PSO) has gone through many enhancements and variants, and has been applied to numerous diverse problems. The particles that compose the swarm’s population act in a manner that follows the basic principles of Swarm Intelligence, as presented in literature. The algorithms utilize the intelligent swarm in order to discover the optima of objective functions. In this chapter, two algorithms were described. The PSO algorithm (1998 version), and the CAPSO algorithm which is a variant of the APSO algorithm. In the PSO, particles move with respect to Newton’s laws of motion, and they are described by both position and velocity. Particles’ position and velocity updates are affected by the global best g∗ at the time and the individual best x∗. The algorithm includes their learning rates, adjusted in a manner that ensures equal weights to social and individual learning. An inertia mechanism is added to prevent the particles from moving too quickly, thus missing the discovery of optimal solutions. In contrast, the CAPSO algorithm particles do not keep memory of an individual best. They follow a more simplistic approach and update their position in a single step, affected only by the global best at the time. However, there are two parameters, α and β to fine-tune the swarms movement and insert necessary randomness. In CAPSO, the very crucial attraction parameter β, updates through chaotic maps. Specifically, in this work, the Sinusoidal map and the Singer map were considered and applied. It is noted that these maps have a unimode centered around their middle, and have provided the best results in relative research and testing. Both of the discussed algorithms were also provided in pseudocode format.
The PSO and CAPSO algorithms were developed and tested for cloaking problems concerning the covering of a perfectly conducting core by a number of coating layers with optimal parameters so that the total scattered field is significantly reduced. The resulting scattering performance of the medium was examined and it was demonstrated that both PSO and CAPSO algorithms are effective in achieving the goal of the scattered field reduction. Particularly, the CAPSO was shown to be successful in determining optimal solutions yielding enhanced cloaking behavior for a notably large range of the observation angles.
It is noted that the developed algorithms do not utilize a population topology mechanism since the global best is well known to all particles. Thus, in future research, alternative variants of these algorithms could be explored, for example the SPSO 2011 [31] or the Adaptive Clan PSO [32].
Conflict of interest
The authors declare no conflict of interest.
Abbreviations
PSO
Particle Swarm Optimization
APSO
Accelerated Particle Swarm Optimization
CAPSO
Chaotic Accelerated Particle Swarm Optimization
PEC
Perfect Electric Conducting
\n',keywords:"Swarm Intelligence, optimization, particle swarm optimization (PSO), accelerated particle swarm optimization (APSO), chaos-enhanced APSO, chaotic APSO (CAPSO), wave scattering, cloaking",chapterPDFUrl:"https://cdn.intechopen.com/pdfs/76395.pdf",chapterXML:"https://mts.intechopen.com/source/xml/76395.xml",downloadPdfUrl:"/chapter/pdf-download/76395",previewPdfUrl:"/chapter/pdf-preview/76395",totalDownloads:140,totalViews:0,totalCrossrefCites:0,dateSubmitted:"January 2nd 2021",dateReviewed:"March 14th 2021",datePrePublished:"May 7th 2021",datePublished:null,dateFinished:"April 22nd 2021",readingETA:"0",abstract:"Particle Swarm Optimization (PSO) algorithms are widely used in a plethora of optimization problems. In this chapter, we focus on applications of PSO algorithms to optimization problems arising in the theory of wave scattering by inhomogeneous media. More precisely, we consider scattering problems concerning the excitation of a layered spherical medium by an external dipole. The goal is to optimize the physical and geometrical parameters of the medium’s internal composition for varying numbers of layers (spherical shells) so that the core of the medium is substantially cloaked. For the solution of the associated optimization problem, PSO algorithms have been specifically applied to effectively search for optimal solutions corresponding to realizable parameters values. We performed rounds of simulations for the the basic version of the original PSO algorithm, as well as a newer variant of the Accelerated PSO (known as “Chaos Enhanced APSO”/ “Chaotic APSO”). Feasible solutions were found leading to significantly reduced values of the employed objective function, which is the normalized total scattering cross section of the layered medium. Remarks regarding the differences and particularities among the different PSO algorithms as well as the fine-tuning of their parameters are also pointed out.",reviewType:"peer-reviewed",bibtexUrl:"/chapter/bibtex/76395",risUrl:"/chapter/ris/76395",signatures:"Alkmini Michaloglou and Nikolaos L. Tsitsas",book:{id:"10653",type:"book",title:"Optimization Algorithms",subtitle:null,fullTitle:"Optimization Algorithms",slug:null,publishedDate:null,bookSignature:"Prof. Nodari Vakhania",coverURL:"https://cdn.intechopen.com/books/images_new/10653.jpg",licenceType:"CC BY 3.0",editedByType:null,isbn:"978-1-83968-666-5",printIsbn:"978-1-83968-665-8",pdfIsbn:"978-1-83968-667-2",isAvailableForWebshopOrdering:!0,editors:[{id:"202585",title:"Prof.",name:"Nodari",middleName:null,surname:"Vakhania",slug:"nodari-vakhania",fullName:"Nodari Vakhania"}],productType:{id:"1",title:"Edited Volume",chapterContentType:"chapter",authoredCaption:"Edited by"}},authors:null,sections:[{id:"sec_1",title:"1. Introduction",level:"1"},{id:"sec_2",title:"2. Particle Swarm Optimization (PSO)",level:"1"},{id:"sec_2_2",title:"2.1 Introduction to PSO",level:"2"},{id:"sec_2_3",title:"2.1.1 The Particle Swarm",level:"3"},{id:"sec_3_3",title:"2.1.2 Basic Principles of Swarm Intelligence",level:"3"},{id:"sec_5_2",title:"2.2 The PSO algorithm",level:"2"},{id:"sec_5_3",title:"2.2.1 Description",level:"3"},{id:"sec_6_3",title:"2.2.2 Algorithm",level:"3"},{id:"sec_8_2",title:"2.3 The CAPSO algorithm",level:"2"},{id:"sec_8_3",title:"2.3.1 Accelerated Particle Swarm Optimization",level:"3"},{id:"sec_9_3",title:"2.3.2 Chaos-Enhanced APSO",level:"3"},{id:"sec_10_3",title:"2.3.3 The CAPSO Algorithm",level:"3"},{id:"sec_12_2",title:"2.4 Development suggestions",level:"2"},{id:"sec_14",title:"3. Particle swarm optimization in wave scattering problems",level:"1"},{id:"sec_15",title:"4. 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Multifrequency optical invisibility cloak with layered plasmonic shells. Physical Review Letters. 2008 Mar 18;100(11):113901.'},{id:"B12",body:'Qiu CW, Hu L, Zhang B, Wu BI, Johnson SG, Joannopoulos JD. Spherical cloaking using nonlinear transformations for improved segmentation into concentric isotropic coatings. Optics Express. 2009 Aug 3;17(16):13467-78.'},{id:"B13",body:'Castaldi G, Gallina I, Galdi V, Alù A, Engheta N. Analytical study of spherical cloak/anti-cloak interactions. Wave Motion. 2011 Sep 1;48(6):455-67.'},{id:"B14",body:'Martins TC, Dmitriev V. Spherical invisibility cloak with minimum number of layers of isotropic materials. Microwave and Optical Technology Letters. 2012 Sep;54(9):2217-20.'},{id:"B15",body:'Wang X, Chen F, Semouchkina E. Spherical cloaking using multilayer shells of ordinary dielectrics. AIP Advances. 2013 Nov 12;3(11):112111.'},{id:"B16",body:'Ladutenko K, Peña-Rodríguez O, Melchakova I, Yagupov I, Belov P. Reduction of scattering using thin all-dielectric shells designed by stochastic optimizer. Journal of Applied Physics. 2014 Nov 14;116(18):184508.'},{id:"B17",body:'Campbell SD, Sell D, Jenkins RP, Whiting EB, Fan JA, Werner DH. Review of numerical optimization techniques for meta-device design. Optical Materials Express. 2019 Apr 1;9(4):1842-63.'},{id:"B18",body:'Wang D, Tan D, Liu L. Particle swarm optimization algorithm: an overview. Soft Computing. 2018 Jan;22(2):387-408.'},{id:"B19",body:'Rao SS. Engineering optimization: theory and practice. John Wiley & Sons; 2009 Jul 20.'},{id:"B20",body:'Millonas MM. Swarms, phase transitions, and collective intelligence. arXiv preprint adap-org/9306002. 1993 Jun 11.'},{id:"B21",body:'Yang XS. Nature-Inspired Optimization Algorithms. Elsevier; 2014 Feb 17.'},{id:"B22",body:'Sprott JC. Chaos From Euler Solution of ODEs. Oxford University Press; 2003, pp. 63-65.'},{id:"B23",body:'Lu H, Wang X, Fei Z, Qiu M. The effects of using chaotic map on improving the performance of multiobjective evolutionary algorithms. Mathematical Problems in Engineering. 2014 Feb;2014.'},{id:"B24",body:'Tsitsas NL, Athanasiadis C. On the scattering of spherical electromagnetic waves by a layered sphere. The Quarterly Journal of Mechanics and Applied Mathematics. 2006 Feb 1;59(1):55-74.'},{id:"B25",body:'Tsitsas NL. Direct and inverse dipole electromagnetic scattering by a piecewise homogeneous sphere. ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik. 2009 Oct 1;89(10):833-49.'},{id:"B26",body:'Prokopiou P, Tsitsas NL. Electromagnetic excitation of a spherical medium by an arbitrary dipole and related inverse problems. Studies in Applied Mathematics. 2018 May;140(4):438-64.'},{id:"B27",body:'Tsitsoglou Z, Prokopiou P, Tsitsas NL. Dipole-Scattering by Spherical Media and Related Optimization Problems. In: 2018 2nd URSI Atlantic Radio Science Meeting (AT-RASC) 2018 May 28 (pp. 1-4). IEEE.'},{id:"B28",body:'Michaloglou A, Tsitsas NL. Particle Swarm Optimization of Layered Media Cloaking Performance. URSI Radio Science Letters. 2020; 2: (5 pages) DOI: 10.46620/20-0016.'},{id:"B29",body:'Valagiannopoulos CA, Tsitsas NL. On the resonance and radiation characteristics of multi-layered spherical microstrip antennas. Electromagnetics. 2008 May 27;28(4):243-64.'},{id:"B30",body:'Valagiannopoulos CA, Tsitsas NL. Linearization of the T-matrix solution for quasi-homogeneous scatterers. Journal of the Optical Society of America A. 2009 Apr 1;26(4):870-81.'},{id:"B31",body:'Zambrano-Bigiarini M, Clerc M, Rojas R. Standard particle swarm optimisation 2011 at cec-2013: A baseline for future pso improvements. In: 2013 IEEE Congress on Evolutionary Computation 2013 Jun 20 (pp. 2337-2344). IEEE.'},{id:"B32",body:'Pontes MR, Neto FB, Bastos-Filho CJ. Adaptive clan particle swarm optimization. In: 2011 IEEE Symposium on Swarm Intelligence 2011 Apr 11 (pp. 1-6). IEEE.'}],footnotes:[],contributors:[{corresp:null,contributorFullName:"Alkmini Michaloglou",address:null,affiliation:'
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From 1985 to 1986, he was a Research Fellow in the Research Institute for Electronic Equipment, ZZU AD, Plovdiv, Bulgaria. In 1986, he joined the Department of Control Systems, Technical University of Sofia at the Plovdiv campus, where he is presently a Full Professor. He has held long-term visiting Professor/Scholar positions at various institutions in South Korea, Turkey, Mexico, Greece, Belgium, UK, and Germany. And he has coauthored one book and authored or coauthored more than 80 research papers in conference proceedings and journals. 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Aalborg University has Two Satellite Campuses, one in Copenhagen (Aalborg University Copenhagen) and the other in Esbjerg (Aalborg University Esbjerg).\n· He is a member of prestigious IEEE (Institute of Electrical and Electronics Engineers), and IAENG (International Association of Engineers) organizations. \n· He is the chief Editor of the Journal of Software Engineering.\n· He is the member of the Editorial Board of International Journal of Computer Science and Software Technology (IJCSST) and International Journal of Computer Engineering and Information Technology. \n· He is also the Editor of Communication in Computer and Information Science CCIS-20 by Springer.\n· Reviewer For Many Conferences\nHe is the lead person in making collaboration agreements between Aalborg University and many universities of Pakistan, for which the MOU’s (Memorandum of Understanding) have been signed.\nProfessor Akbar is working in Academia since 1990, he started his career as a Lab demonstrator/TA at the University of Sussex. After finishing his P. hD degree in 1992, he served in the Industry as a Scientific Officer and continued his academic career as a visiting scholar for a number of educational institutions. In 1996 he joined National University of Science & Technology Pakistan (NUST) as an Associate Professor; NUST is one of the top few universities in Pakistan. In 1999 he joined an International Company Lineo Inc, Canada as Manager Compiler Group, where he headed the group for developing Compiler Tool Chain and Porting of Operating Systems for the BLACKfin processor. The processor development was a joint venture by Intel and Analog Devices. In 2002 Lineo Inc., was taken over by another company, so he joined Aalborg University Denmark as an Assistant Professor.\nProfessor Akbar has truly a multi-disciplined career and he continued his legacy and making progress in many areas of his interests both in teaching and research. 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The system functionality is implemented by several agents that perform data collecting, cleaning, clustering, comparing time series, retrieving data for visualization, preparing charts and reports, performing spatial and intellectual analysis, etc. Convergent approach is the convergence of cloud, fog and mobile data processing technologies. The diagnostic system is necessary for remote maintenance of photoradar equipment. The structure of the neural network is adapted to the diagnosing problems and forecasting. The tasks of intellectual analysis and forecasting traffic accidents are solved. The hybrid fuzzy neural network is synthesized. 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Then, multilayer perceptron (MLP) and learning vector quantization (LVQ) networks have their performances verified during the training, validation and test stages in the speech signal recognition, whose patterns are given by two-dimensional time matrices, result from mel-cepstral coefficients coding by the discrete cosine transform (DCT). In order to avoid the pattern separability problem, the patterns are modified by a nonlinear transformation to a high-dimensional space through a suitable set of Gaussian radial base functions (GRBF). The performance of MLP and LVQ experts is improved and configurations are trained with few examples of each modified pattern. 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Currently, there are various biological problems such as extending from biomolecule structure prediction to drug discovery that can be elevated by opting standard protocol for optimization. Particle swarm optimization (PSO) process, purposed by Dr. Eberhart and Dr. Kennedy in 1995, is solely based on population stochastic optimization technique. This method was designed by the researchers after inspired by social behavior of flocking bird or schooling fishes. This method shares numerous resemblances with the evolutionary computation procedures such as genetic algorithms (GA). Since, PSO algorithms is easy process to subject with minor adjustment of a few restrictions, it has gained more attention or advantages over other population based algorithms. 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He has received many awards and honors in India and abroad including various Young Scientist Awards, BBSRC India Partnering Award, and Dr. JC Bose National Award of Department of Biotechnology, Min. of Science and Technology, Govt. of India. Dr. Saxena is a fellow of various international societies/academies including the Royal College of Pathologists, United Kingdom; Royal Society of Medicine, London; Royal Society of Biology, United Kingdom; Royal Society of Chemistry, London; and Academy of Translational Medicine Professionals, Austria. He was named a Global Leader in Science by The Scientist. He is also an international opinion leader/expert in vaccination for Japanese encephalitis by IPIC (UK).",institutionString:"King George's Medical University",institution:{name:"King George's Medical University",institutionURL:null,country:{name:"India"}}}]},{type:"book",id:"7064",title:"Current Perspectives in Human Papillomavirus",subtitle:null,coverURL:"https://cdn.intechopen.com/books/images_new/7064.jpg",slug:"current-perspectives-in-human-papillomavirus",publishedDate:"May 2nd 2019",editedByType:"Edited by",bookSignature:"Shailendra K. Saxena",hash:"d92a4085627bab25ddc7942fbf44cf05",volumeInSeries:2,fullTitle:"Current Perspectives in Human Papillomavirus",editors:[{id:"158026",title:"Prof.",name:"Shailendra K.",middleName:null,surname:"Saxena",slug:"shailendra-k.-saxena",fullName:"Shailendra K. Saxena",profilePictureURL:"https://s3.us-east-1.amazonaws.com/intech-files/0030O00002bRET3QAO/Profile_Picture_2022-05-10T10:10:26.jpeg",biography:"Professor Dr. Shailendra K. Saxena is a vice dean and professor at King George's Medical University, Lucknow, India. His research interests involve understanding the molecular mechanisms of host defense during human viral infections and developing new predictive, preventive, and therapeutic strategies for them using Japanese encephalitis virus (JEV), HIV, and emerging viruses as a model via stem cell and cell culture technologies. His research work has been published in various high-impact factor journals (Science, PNAS, Nature Medicine) with a high number of citations. He has received many awards and honors in India and abroad including various Young Scientist Awards, BBSRC India Partnering Award, and Dr. JC Bose National Award of Department of Biotechnology, Min. of Science and Technology, Govt. of India. Dr. Saxena is a fellow of various international societies/academies including the Royal College of Pathologists, United Kingdom; Royal Society of Medicine, London; Royal Society of Biology, United Kingdom; Royal Society of Chemistry, London; and Academy of Translational Medicine Professionals, Austria. He was named a Global Leader in Science by The Scientist. He is also an international opinion leader/expert in vaccination for Japanese encephalitis by IPIC (UK).",institutionString:"King George's Medical University",institution:{name:"King George's Medical University",institutionURL:null,country:{name:"India"}}}]},{type:"book",id:"7123",title:"Current Topics in Neglected Tropical Diseases",subtitle:null,coverURL:"https://cdn.intechopen.com/books/images_new/7123.jpg",slug:"current-topics-in-neglected-tropical-diseases",publishedDate:"December 4th 2019",editedByType:"Edited by",bookSignature:"Alfonso J. Rodriguez-Morales",hash:"61c627da05b2ace83056d11357bdf361",volumeInSeries:3,fullTitle:"Current Topics in Neglected Tropical Diseases",editors:[{id:"131400",title:"Prof.",name:"Alfonso J.",middleName:null,surname:"Rodriguez-Morales",slug:"alfonso-j.-rodriguez-morales",fullName:"Alfonso J. Rodriguez-Morales",profilePictureURL:"https://mts.intechopen.com/storage/users/131400/images/system/131400.png",biography:"Dr. Rodriguez-Morales is an expert in tropical and emerging diseases, particularly zoonotic and vector-borne diseases (especially arboviral diseases). He is the president of the Travel Medicine Committee of the Pan-American Infectious Diseases Association (API), as well as the president of the Colombian Association of Infectious Diseases (ACIN). He is a member of the Committee on Tropical Medicine, Zoonoses, and Travel Medicine of ACIN. He is a vice-president of the Latin American Society for Travel Medicine (SLAMVI) and a Member of the Council of the International Society for Infectious Diseases (ISID). Since 2014, he has been recognized as a Senior Researcher, at the Ministry of Science of Colombia. He is a professor at the Faculty of Medicine of the Fundacion Universitaria Autonoma de las Americas, in Pereira, Risaralda, Colombia. He is an External Professor, Master in Research on Tropical Medicine and International Health, Universitat de Barcelona, Spain. He is also a professor at the Master in Clinical Epidemiology and Biostatistics, Universidad Científica del Sur, Lima, Peru. In 2021 he has been awarded the “Raul Isturiz Award” Medal of the API. Also, in 2021, he was awarded with the “Jose Felix Patiño” Asclepius Staff Medal of the Colombian Medical College, due to his scientific contributions to COVID-19 during the pandemic. He is currently the Editor in Chief of the journal Travel Medicine and Infectious Diseases. His Scopus H index is 47 (Google Scholar H index, 68).",institutionString:"Institución Universitaria Visión de las Américas, Colombia",institution:null}]},{type:"book",id:"7839",title:"Malaria",subtitle:null,coverURL:"https://cdn.intechopen.com/books/images_new/7839.jpg",slug:"malaria",publishedDate:"December 11th 2019",editedByType:"Edited by",bookSignature:"Fyson H. Kasenga",hash:"91cde4582ead884cb0f355a19b67cd56",volumeInSeries:4,fullTitle:"Malaria",editors:[{id:"86725",title:"Dr.",name:"Fyson",middleName:"Hanania",surname:"Kasenga",slug:"fyson-kasenga",fullName:"Fyson Kasenga",profilePictureURL:"https://mts.intechopen.com/storage/users/86725/images/system/86725.jpg",biography:"Dr. Kasenga is a graduate of Tumaini University, Kilimanjaro Christian Medical College, Moshi, Tanzania and Umeå University, Sweden. He obtained a Master’s degree in Public Health and PhD in Public Health and Epidemiology. He has a background in Clinical Medicine and has taken courses at higher diploma levels in public health from University of Transkei, Republic of South Africa, and African Medical and Research Foundation (AMREF) in Nairobi, Kenya. Dr. Kasenga worked in different places in and outside Malawi, and has held various positions, such as Licensed Medical Officer, HIV/AIDS Programme Officer, HIV/AIDS resource person in the International Department of Diakonhjemet College, Oslo, Norway. He also managed an Integrated HIV/AIDS Prevention programme for over 5 years. He is currently working as a Director for the Health Ministries Department of Malawi Union of the Seventh Day Adventist Church. Dr. Kasenga has published over 5 articles on HIV/AIDS issues focusing on Prevention of Mother to Child Transmission of HIV (PMTCT), including a book chapter on HIV testing counseling (currently in press). Dr. Kasenga is married to Grace and blessed with three children, a son and two daughters: Happy, Lettice and Sungani.",institutionString:"Malawi Adventist University",institution:{name:"Malawi Adventist University",institutionURL:null,country:{name:"Malawi"}}}]}]},openForSubmissionBooks:{},onlineFirstChapters:{},subseriesFiltersForOFChapters:[],publishedBooks:{},subseriesFiltersForPublishedBooks:[],publicationYearFilters:[],authors:{}},subseries:{item:{id:"41",type:"subseries",title:"Water Science",keywords:"Water, Water resources, Freshwater, Hydrological processes, Utilization, Protection",scope:"
\r\n\tWater is not only a crucial substance needed for biological life on Earth, but it is also a basic requirement for the existence and development of the human society. Owing to the importance of water to life on Earth, early researchers conducted numerous studies and analyses on the liquid form of water from the perspectives of chemistry, physics, earth science, and biology, and concluded that Earth is a "water polo". Water covers approximately 71% of Earth's surface. However, 97.2% of this water is seawater, 21.5% is icebergs and glaciers, and only 0.65% is freshwater that can be used directly by humans. As a result, the amount of water reserves available for human consumption is limited. The development, utilization, and protection of freshwater resources has become the focus of water science research for the continued improvement of human livelihoods and society.
\r\n
\r\n\tWater exists as solid, liquid, and gas within Earth’s atmosphere, lithosphere, and biosphere. Liquid water is used for a variety of purposes besides drinking, including power generation, ecology, landscaping, and shipping. Because water is involved in various environmental hydrological processes as well as numerous aspects of the economy and human society, the study of various phenomena in the hydrosphere, the laws governing their occurrence and development, the relationship between the hydrosphere and other spheres of Earth, and the relationship between water and social development, are all part of water science. Knowledge systems for water science are improving continuously. Water science has become a specialized field concerned with the identification of its physical, chemical, and biological properties. In addition, it reveals the laws of water distribution, movement, and circulation, and proposes methods and tools for water development, utilization, planning, management, and protection. Currently, the field of water science covers research related to topics such as hydrology, water resources and water environment. It also includes research on water related issues such as safety, engineering, economy, law, culture, information, and education.
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