Discriminative Learning in Biometrics

Biometrics, similar to other pattern recognition systems, are essentially based on data collection and learning techniques. In this chapter, we will first give an overview on the systems in terms of the input features and common applications. After that, we will provide a self-contained introduction to some discriminative learning tools that are commonly used in biometrics. A clear understanding of these techniques could be of essential importance in the sense that it forms the foundation for much of the subsequent parts in this book.

[1]  J. Bunch,et al.  Collinearity and Total Least Squares , 1994, SIAM J. Matrix Anal. Appl..

[2]  David L Donoho,et al.  Compressed sensing , 2006, IEEE Transactions on Information Theory.

[3]  Tai Sing Lee,et al.  Image Representation Using 2D Gabor Wavelets , 1996, IEEE Trans. Pattern Anal. Mach. Intell..

[4]  Nong Sang,et al.  Local Binary Pattern histogram based Texton learning for texture classification , 2011, 2011 18th IEEE International Conference on Image Processing.

[5]  David Zhang,et al.  Orientation selection using modified FCM for competitive code-based palmprint recognition , 2009, Pattern Recognit..

[6]  Jian Yang,et al.  K Nearest Neighbor Based Local Sparse Representation Classifier , 2010, 2010 Chinese Conference on Pattern Recognition (CCPR).

[7]  Allen Y. Yang,et al.  Fast ℓ1-minimization algorithms and an application in robust face recognition: A review , 2010, 2010 IEEE International Conference on Image Processing.

[8]  Andrea Vedaldi,et al.  Vlfeat: an open and portable library of computer vision algorithms , 2010, ACM Multimedia.

[9]  Shengcai Liao,et al.  Deep Metric Learning for Person Re-identification , 2014, 2014 22nd International Conference on Pattern Recognition.

[10]  David Zhang,et al.  A performance evaluation of filter design and coding schemes for palmprint recognition , 2008, 2008 19th International Conference on Pattern Recognition.

[11]  Zhen Li,et al.  Learning Locally-Adaptive Decision Functions for Person Verification , 2013, 2013 IEEE Conference on Computer Vision and Pattern Recognition.

[12]  Xiaogang Wang,et al.  Visual Tracking with Fully Convolutional Networks , 2015, 2015 IEEE International Conference on Computer Vision (ICCV).

[13]  Mathews Jacob,et al.  Design of steerable filters for feature detection using canny-like criteria , 2004, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[14]  Alejandro F. Frangi,et al.  Two-dimensional PCA: a new approach to appearance-based face representation and recognition , 2004 .

[15]  Yihong Gong,et al.  Nonlinear Learning using Local Coordinate Coding , 2009, NIPS.

[16]  David B. Dunson,et al.  Nonparametric Bayesian Dictionary Learning for Analysis of Noisy and Incomplete Images , 2012, IEEE Transactions on Image Processing.

[17]  Li Zhang,et al.  Wonder ears: Identification of identical twins from ear images , 2012, Proceedings of the 21st International Conference on Pattern Recognition (ICPR2012).

[18]  Zhong Jin,et al.  Kernel sparse representation based classification , 2012, Neurocomputing.

[19]  Zhenhua Guo,et al.  The multiscale competitive code via sparse representation for palmprint verification , 2010, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[20]  Arun Ross,et al.  An introduction to biometric recognition , 2004, IEEE Transactions on Circuits and Systems for Video Technology.

[21]  David Zhang,et al.  On hierarchical palmprint coding with multiple features for personal identification in large databases , 2004, IEEE Transactions on Circuits and Systems for Video Technology.

[22]  Yu Shi,et al.  Sparse discriminant analysis for breast cancer biomarker identification and classification , 2009 .

[23]  David Zhang,et al.  Palmprint feature extraction using 2-D Gabor filters , 2003, Pattern Recognit..

[24]  E. Candes,et al.  11-magic : Recovery of sparse signals via convex programming , 2005 .

[25]  Jason Weston,et al.  Gene Selection for Cancer Classification using Support Vector Machines , 2002, Machine Learning.

[26]  Qin Li,et al.  Palm Vein Extraction and Matching for Personal Authentication , 2007, VISUAL.

[27]  Zenglin Xu,et al.  Efficient Sparse Generalized Multiple Kernel Learning , 2011, IEEE Transactions on Neural Networks.

[28]  Baoxin Li,et al.  Discriminative K-SVD for dictionary learning in face recognition , 2010, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[29]  Lei Zhang,et al.  Canny edge detection enhancement by scale multiplication , 2005, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[30]  Jieping Ye,et al.  A General Iterative Shrinkage and Thresholding Algorithm for Non-convex Regularized Optimization Problems , 2013, ICML.

[31]  Guillermo Sapiro,et al.  Sparse Representation for Computer Vision and Pattern Recognition , 2010, Proceedings of the IEEE.

[32]  Mark J. Burge,et al.  Handbook of Iris Recognition , 2013, Advances in Computer Vision and Pattern Recognition.

[33]  Hiroshi Nakajima,et al.  PAPER Special Section on Applications and Implementations of Digital Signal Processing A Fingerprint Matching Algorithm Using Phase-Only Correlation , 2004 .

[34]  Gabriel Cristóbal,et al.  Self-Invertible 2D Log-Gabor Wavelets , 2007, International Journal of Computer Vision.

[35]  David Zhang,et al.  Combine crossing matching scores with conventional matching scores for bimodal biometrics and face and palmprint recognition experiments , 2011, Neurocomputing.

[36]  W. T. Tucker,et al.  Convergence theory for fuzzy c-means: Counterexamples and repairs , 1987, IEEE Transactions on Systems, Man, and Cybernetics.

[37]  Hong Liu,et al.  Coarse to fine K nearest neighbor classifier , 2013, Pattern Recognit. Lett..

[38]  Kuanquan Wang,et al.  Palmprint Texture Analysis Using Derivative of Gaussian Filters , 2006, 2006 International Conference on Computational Intelligence and Security.

[39]  Bhaskar D. Rao,et al.  Sparse signal reconstruction from limited data using FOCUSS: a re-weighted minimum norm algorithm , 1997, IEEE Trans. Signal Process..

[40]  James R. Bunch,et al.  Perturbation theory for orthogonal projection methods with applications to least squares and total least squares , 1996 .

[41]  G LoweDavid,et al.  Distinctive Image Features from Scale-Invariant Keypoints , 2004 .

[42]  Kuanquan Wang,et al.  Bidirectional PCA with assembled matrix distance metric for image recognition , 2006, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[43]  David Zhang,et al.  Palmprint identification using feature-level fusion , 2006, Pattern Recognit..

[44]  David Zhang,et al.  Bimodal biometrics based on a representation and recognition approach , 2011 .

[45]  Trevor Darrell,et al.  Rich Feature Hierarchies for Accurate Object Detection and Semantic Segmentation , 2013, 2014 IEEE Conference on Computer Vision and Pattern Recognition.

[46]  Chih-Jen Lin,et al.  A dual coordinate descent method for large-scale linear SVM , 2008, ICML '08.

[47]  Kaiming He,et al.  Faster R-CNN: Towards Real-Time Object Detection with Region Proposal Networks , 2015, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[48]  K. R. Al-Balushi,et al.  Artificial neural networks and support vector machines with genetic algorithm for bearing fault detection , 2003 .

[49]  Marc Teboulle,et al.  A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems , 2009, SIAM J. Imaging Sci..

[50]  Toby Berger,et al.  Reliable On-Line Human Signature Verification Systems , 1996, IEEE Trans. Pattern Anal. Mach. Intell..

[51]  Sanghamitra Bandyopadhyay,et al.  A Symmetry Based Face Detection Technique , 2007 .

[52]  Francesc J. Ferri,et al.  Comparative Evaluation of Batch and Online Distance Metric Learning Approaches Based on Margin Maximization , 2013, 2013 IEEE International Conference on Systems, Man, and Cybernetics.

[53]  Xuelong Li,et al.  Data Uncertainty in Face Recognition , 2014, IEEE Transactions on Cybernetics.

[54]  David Zhang,et al.  Fisher Discrimination Dictionary Learning for sparse representation , 2011, 2011 International Conference on Computer Vision.

[55]  DAVID ZHANG,et al.  A Comparative Study of Palmprint Recognition Algorithms , 2012, CSUR.

[56]  Jian Yang,et al.  Integrating Conventional and Inverse Representation for Face Recognition , 2014, IEEE Transactions on Cybernetics.

[57]  E. Candès,et al.  Stable signal recovery from incomplete and inaccurate measurements , 2005, math/0503066.

[58]  Zhenhua Guo,et al.  An Online System of Multispectral Palmprint Verification , 2010, IEEE Transactions on Instrumentation and Measurement.

[59]  Lei Zhang,et al.  Support Vector Guided Dictionary Learning , 2014, ECCV.

[60]  Michael Elad,et al.  Compression of facial images using the K-SVD algorithm , 2008, J. Vis. Commun. Image Represent..

[61]  Weiqi Yuan,et al.  Research of Palmprint Recognition Based on 2DPCA , 2009, ISNN.

[62]  Michael Elad,et al.  Sparse and Redundant Representation Modeling—What Next? , 2012, IEEE Signal Processing Letters.

[63]  Jeng-Shyang Pan,et al.  AN IMPROVEMENT TO THE NEAREST NEIGHBOR CLASSIFIER AND F ACE RECOGNITION EXPERIMENTS , 2013 .

[64]  Hong Chang,et al.  Locally linear metric adaptation for semi-supervised clustering , 2004, ICML.

[65]  H. D. Cheng,et al.  Threshold selection based on fuzzy c-partition entropy approach , 1998, Pattern Recognit..

[66]  Lawrence K. Saul,et al.  Latent Coincidence Analysis: A Hidden Variable Model for Distance Metric Learning , 2012, NIPS.

[67]  Dewen Hu,et al.  Comment on: "Two-dimensional locality preserving projections (2DLPP) with its application to palmprint recognition" , 2008, Pattern Recognit..

[68]  Samy Bengio,et al.  Improving face authentication using virtual samples , 2003, 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03)..

[69]  John Daugman,et al.  The importance of being random: statistical principles of iris recognition , 2003, Pattern Recognit..

[70]  Larry S. Davis,et al.  Label Consistent K-SVD: Learning a Discriminative Dictionary for Recognition , 2013, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[71]  Doulaye Dembélé,et al.  Fuzzy C-means Method for Clustering Microarray Data , 2003, Bioinform..

[72]  Robert M. Haralick,et al.  Textural Features for Image Classification , 1973, IEEE Trans. Syst. Man Cybern..

[73]  Tao Huang,et al.  A novel classification method for palmprint recognition based on reconstruction error and normalized distance , 2012, Applied Intelligence.

[74]  S T Roweis,et al.  Nonlinear dimensionality reduction by locally linear embedding. , 2000, Science.

[75]  Cordelia Schmid,et al.  Is that you? Metric learning approaches for face identification , 2009, 2009 IEEE 12th International Conference on Computer Vision.

[76]  Wangmeng Zuo,et al.  Supervised sparse representation method with a heuristic strategy and face recognition experiments , 2012, Neurocomputing.

[77]  Brian C. Lovell,et al.  Face Recognition Robust to Head Pose from One Sample Image , 2006, 18th International Conference on Pattern Recognition (ICPR'06).

[78]  James C. Bezdek,et al.  Pattern Recognition with Fuzzy Objective Function Algorithms , 1981, Advanced Applications in Pattern Recognition.

[79]  Kilian Q. Weinberger,et al.  Distance Metric Learning for Large Margin Nearest Neighbor Classification , 2005, NIPS.

[80]  Yong Xu,et al.  Feature space-based human face image representation and recognition , 2012 .

[81]  David Zhang,et al.  Sparse Representation Based Fisher Discrimination Dictionary Learning for Image Classification , 2014, International Journal of Computer Vision.

[82]  Nello Cristianini,et al.  Kernel Methods for Pattern Analysis , 2003, ICTAI.

[83]  David Zhang,et al.  Multiscale competitive code for efficient palmprint recognition , 2008, 2008 19th International Conference on Pattern Recognition.

[84]  Jun Guo,et al.  In Defense of Sparsity Based Face Recognition , 2013, 2013 IEEE Conference on Computer Vision and Pattern Recognition.

[85]  Jiwen Lu,et al.  Neighborhood repulsed metric learning for kinship verification , 2012, 2012 IEEE Conference on Computer Vision and Pattern Recognition.

[86]  Christoph Busch,et al.  Ear biometrics: a survey of detection, feature extraction and recognition methods , 2012, IET Biom..

[87]  Feng Du,et al.  Palmprint Recognition Using Gabor Feature-Based Bidirectional 2DLDA , 2011 .

[88]  Tieniu Tan,et al.  Comparative Studies on Multispectral Palm Image Fusion for Biometrics , 2007, ACCV.

[89]  Helen C. Shen,et al.  Personal Verification Using Palmprint and Hand Geometry Biometric , 2003, AVBPA.

[90]  M. Elad,et al.  $rm K$-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation , 2006, IEEE Transactions on Signal Processing.

[91]  James Philbin,et al.  FaceNet: A unified embedding for face recognition and clustering , 2015, 2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).

[92]  Isabelle Guyon,et al.  What Size Test Set Gives Good Error Rate Estimates? , 1998, IEEE Trans. Pattern Anal. Mach. Intell..

[93]  Changyin Sun,et al.  Supervised class-specific dictionary learning for sparse modeling in action recognition , 2012, Pattern Recognit..

[94]  Deanna Needell,et al.  Signal Recovery From Incomplete and Inaccurate Measurements Via Regularized Orthogonal Matching Pursuit , 2007, IEEE Journal of Selected Topics in Signal Processing.

[95]  Zhenhua Guo,et al.  Online joint palmprint and palmvein verification , 2011, Expert Syst. Appl..

[96]  F. Girosi,et al.  Networks for approximation and learning , 1990, Proc. IEEE.

[97]  Yann LeCun,et al.  Learning Fast Approximations of Sparse Coding , 2010, ICML.

[98]  Rahul Garg,et al.  Gradient descent with sparsification: an iterative algorithm for sparse recovery with restricted isometry property , 2009, ICML '09.

[99]  Michael G. Strintzis,et al.  Personal authentication using 3-D finger geometry , 2006, IEEE Transactions on Information Forensics and Security.

[100]  Guillermo Sapiro,et al.  Learning to Sense Sparse Signals: Simultaneous Sensing Matrix and Sparsifying Dictionary Optimization , 2009, IEEE Transactions on Image Processing.

[101]  David Zhang,et al.  Two novel characteristics in palmprint verification: datum point invariance and line feature matching , 1999, Pattern Recognit..

[102]  Michael Elad,et al.  Dictionaries for Sparse Representation Modeling , 2010, Proceedings of the IEEE.

[103]  Larry S. Davis,et al.  Online Semi-Supervised Discriminative Dictionary Learning for Sparse Representation , 2012, ACCV.

[104]  Yan Chen,et al.  Noise modeling and representation based classification methods for face recognition , 2015, Neurocomputing.

[105]  David Zhang,et al.  Texture-based palmprint retrieval using a layered search scheme for personal identification , 2005, IEEE Transactions on Multimedia.

[106]  Chunheng Wang,et al.  Sparse Representation Based on K-Nearest Neighbor Classifier for Degraded Chinese Character Recognition , 2010, PCM.

[107]  Arun Ross,et al.  A survey on ear biometrics , 2013, CSUR.

[108]  Jian Yang,et al.  Two-dimensional discriminant transform for face recognition , 2005, Pattern Recognit..

[109]  Guillermo Sapiro,et al.  Supervised Dictionary Learning , 2008, NIPS.

[110]  Baback Moghaddam,et al.  Principal Manifolds and Probabilistic Subspaces for Visual Recognition , 2002, IEEE Trans. Pattern Anal. Mach. Intell..

[111]  Inderjit S. Dhillon,et al.  Information-theoretic metric learning , 2006, ICML '07.

[112]  David Zhang,et al.  A survey of palmprint recognition , 2009, Pattern Recognit..

[113]  Anders P. Eriksson,et al.  Is face recognition really a Compressive Sensing problem? , 2011, CVPR 2011.

[114]  Mohammed Bennamoun,et al.  Linear Regression for Face Recognition , 2010, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[115]  Tieniu Tan,et al.  Ordinal palmprint represention for personal identification [represention read representation] , 2005, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05).

[116]  Feiping Nie,et al.  Semi-supervised Robust Dictionary Learning via Efficient l-Norms Minimization , 2013, 2013 IEEE International Conference on Computer Vision.

[117]  Anil K. Jain,et al.  An Introduction to Biometric Authentication Systems , 2005 .

[118]  Tomaso A. Poggio,et al.  Face recognition with support vector machines: global versus component-based approach , 2001, Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001.

[119]  Jian Sun,et al.  Bayesian Face Revisited: A Joint Formulation , 2012, ECCV.

[120]  Julien Mairal,et al.  Proximal Methods for Sparse Hierarchical Dictionary Learning , 2010, ICML.

[121]  V. Zharov,et al.  Infrared imaging of subcutaneous veins , 2004, Lasers in surgery and medicine.

[122]  Zhong Jin,et al.  Down-Sampling Face Images and Low-Resolution Face Recognition , 2008, 2008 3rd International Conference on Innovative Computing Information and Control.

[123]  Tieniu Tan,et al.  Combine hierarchical appearance statistics for accurate palmprint recognition , 2008, 2008 19th International Conference on Pattern Recognition.

[124]  Jun Guo,et al.  Extended SRC: Undersampled Face Recognition via Intraclass Variant Dictionary , 2012, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[125]  David Zhang,et al.  Competitive coding scheme for palmprint verification , 2004, Proceedings of the 17th International Conference on Pattern Recognition, 2004. ICPR 2004..

[126]  Marc Sebban,et al.  A Survey on Metric Learning for Feature Vectors and Structured Data , 2013, ArXiv.

[127]  Anil K. Jain,et al.  Latent Palmprint Matching , 2009, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[128]  David Zhang,et al.  Relaxed collaborative representation for pattern classification , 2012, 2012 IEEE Conference on Computer Vision and Pattern Recognition.

[129]  David Zhang,et al.  Advanced Pattern Recognition Technologies with Applications to Biometrics , 2008 .

[130]  Honglak Lee,et al.  Efficient L1 Regularized Logistic Regression , 2006, AAAI.

[131]  Lale Akarun,et al.  Fuzzy algorithms for combined quantization and dithering , 2001, IEEE Trans. Image Process..

[132]  Klaus-Dieter Kuhnert,et al.  Statistical dependence of pixel intensities for pattern recognition , 2013, 2013 IEEE International Conference on Industrial Technology (ICIT).

[133]  Jason Weston,et al.  Natural Language Processing (Almost) from Scratch , 2011, J. Mach. Learn. Res..

[134]  David Zhang,et al.  Palmprint Identification by Fourier Transform , 2002, Int. J. Pattern Recognit. Artif. Intell..

[135]  David Zhang,et al.  A sparse representation method of bimodal biometrics and palmprint recognition experiments , 2013, Neurocomputing.

[136]  Yongsheng Gao,et al.  Face recognition across pose: A review , 2009, Pattern Recognit..

[137]  Andrew Zisserman,et al.  A Statistical Approach to Texture Classification from Single Images , 2004, International Journal of Computer Vision.

[138]  David Zhang,et al.  Tongue line extraction , 2008, 2008 19th International Conference on Pattern Recognition.

[139]  J. Tenenbaum,et al.  A global geometric framework for nonlinear dimensionality reduction. , 2000, Science.

[140]  Guillermo Sapiro,et al.  Online Learning for Matrix Factorization and Sparse Coding , 2009, J. Mach. Learn. Res..

[141]  David Zhang,et al.  Fisherpalms based palmprint recognition , 2003, Pattern Recognit. Lett..

[142]  Rabia Jafri,et al.  A Survey of Face Recognition Techniques , 2009, J. Inf. Process. Syst..

[143]  Stephen P. Boyd,et al.  An Interior-Point Method for Large-Scale $\ell_1$-Regularized Least Squares , 2007, IEEE Journal of Selected Topics in Signal Processing.

[144]  Zhenhua Guo,et al.  Palmprint verification using binary orientation co-occurrence vector , 2009, Pattern Recognit. Lett..

[145]  Edward H. Adelson,et al.  The Design and Use of Steerable Filters , 1991, IEEE Trans. Pattern Anal. Mach. Intell..

[146]  John Daugman,et al.  High Confidence Visual Recognition of Persons by a Test of Statistical Independence , 1993, IEEE Trans. Pattern Anal. Mach. Intell..

[147]  Jian Yang,et al.  A Two-Phase Test Sample Sparse Representation Method for Use With Face Recognition , 2011, IEEE Transactions on Circuits and Systems for Video Technology.

[148]  Chih-Jen Lin,et al.  LIBSVM: A library for support vector machines , 2011, TIST.

[149]  Michael Elad,et al.  Analysis K-SVD: A Dictionary-Learning Algorithm for the Analysis Sparse Model , 2013, IEEE Transactions on Signal Processing.

[150]  Lei Zhang,et al.  Projective dictionary pair learning for pattern classification , 2014, NIPS.

[151]  Bernhard Schölkopf,et al.  A tutorial on support vector regression , 2004, Stat. Comput..

[152]  Qiuqi Ruan,et al.  Enhancing sparsity via ℓp (0, 2013, Neurocomputing.

[153]  Emmanuel J. Candès,et al.  Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies? , 2004, IEEE Transactions on Information Theory.

[154]  Allen Y. Yang,et al.  Robust Face Recognition via Sparse Representation , 2009, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[155]  David Zhang,et al.  On accurate orientation extraction and appropriate distance measure for low-resolution palmprint recognition , 2011, Pattern Recognit..

[156]  A. Bruckstein,et al.  K-SVD : An Algorithm for Designing of Overcomplete Dictionaries for Sparse Representation , 2005 .

[157]  Wei-Yun Yau,et al.  Person recognition by fusing palmprint and palm vein images based on "Laplacianpalm" representation , 2008, Pattern Recognit..

[158]  Hongyuan Zha,et al.  {\it R}$_{\mbox{1}}$-PCA: rotational invariant {\it L}$_{\mbox{1}}$-norm principal component analysis for robust subspace factorization , 2006, ICML 2006.

[159]  Venu Govindaraju,et al.  Use of Identification Trial Statistics for the Combination of Biometric Matchers , 2008, IEEE Transactions on Information Forensics and Security.

[160]  Lei Zhang,et al.  Sparse representation or collaborative representation: Which helps face recognition? , 2011, 2011 International Conference on Computer Vision.

[161]  Tieniu Tan,et al.  Palmprint Recognition Based on Directional Features and Graph Matching , 2007, ICB.

[162]  Lorenzo Torresani,et al.  Large Margin Component Analysis , 2006, NIPS.

[163]  David Zhang,et al.  Combining Left and Right Palmprint Images for More Accurate Personal Identification , 2015, IEEE Transactions on Image Processing.

[164]  Ah Chung Tsoi,et al.  Face recognition: a convolutional neural-network approach , 1997, IEEE Trans. Neural Networks.

[165]  Thomas Vetter,et al.  Synthesis of Novel Views from a Single Face Image , 1998, International Journal of Computer Vision.

[166]  A.D. Hoover,et al.  Locating blood vessels in retinal images by piecewise threshold probing of a matched filter response , 2000, IEEE Transactions on Medical Imaging.

[167]  David Zhang,et al.  Palmprint verification based on robust line orientation code , 2007, Pattern Recognit..

[168]  Michael Elad,et al.  Optimally sparse representation in general (nonorthogonal) dictionaries via ℓ1 minimization , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[169]  Hong Liu,et al.  Using the original and 'symmetrical face' training samples to perform representation based two-step face recognition , 2013, Pattern Recognit..

[170]  Jian Yang,et al.  Integrate the original face image and its mirror image for face recognition , 2014, Neurocomputing.

[171]  Slobodan Ribaric,et al.  A biometric identification system based on eigenpalm and eigenfinger features , 2005, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[172]  Mohammed Bennamoun,et al.  Robust Regression for Face Recognition , 2010, 2010 20th International Conference on Pattern Recognition.

[173]  David Zhang,et al.  A Kernel Classification Framework for Metric Learning , 2013, IEEE Transactions on Neural Networks and Learning Systems.

[174]  Damon L. Woodard,et al.  Finger surface as a biometric identifier , 2005, Comput. Vis. Image Underst..

[175]  Pi-Cheng Tung,et al.  Shadow compensation based on facial symmetry and image average for robust face recognition , 2010, Neurocomputing.

[176]  H. X. Wu,et al.  On the convergence of augmented Lagrangian methods for nonlinear semidefinite programming , 2011, Journal of Global Optimization.

[177]  Rama Chellappa,et al.  Learning discriminative dictionaries with partially labeled data , 2012, 2012 19th IEEE International Conference on Image Processing.

[178]  Guillermo Sapiro,et al.  Learning Efficient Structured Sparse Models , 2012, ICML.

[179]  John C. Platt,et al.  Fast training of support vector machines using sequential minimal optimization, advances in kernel methods , 1999 .

[180]  David Zhang,et al.  Palmprint Authentication Based on Orientation Code Matching , 2005, AVBPA.

[181]  Xiao-Yuan Jing,et al.  Face and palmprint feature level fusion for single sample biometrics recognition , 2007, Neurocomputing.

[182]  David M. Bradley,et al.  Differentiable Sparse Coding , 2008, NIPS.

[183]  T. Kanade,et al.  Combining Models and Exemplars for Face Recognition: An Illuminating Example , 2001 .

[184]  Vinod Kumar,et al.  Pose invariant virtual classifiers from single training image using novel hybrid-eigenfaces , 2010, Neurocomputing.

[185]  Rajat Raina,et al.  Efficient sparse coding algorithms , 2006, NIPS.

[186]  Lei Wang,et al.  Positive Semidefinite Metric Learning with Boosting , 2009, NIPS.

[187]  Y. Lee,et al.  Skin thickness of Korean adults , 2002, Surgical and Radiologic Anatomy.

[188]  Yihong Gong,et al.  Locality-constrained Linear Coding for image classification , 2010, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[189]  Zhenhua Guo,et al.  A unified distance measurement for orientation coding in palmprint verification , 2010, Neurocomputing.

[190]  Corinna Cortes,et al.  Support-Vector Networks , 1995, Machine Learning.

[191]  B. V. K. Vijaya Kumar,et al.  Palmprint Classification Using Multiple Advanced Correlation Filters and Palm-Specific Segmentation , 2007, IEEE Transactions on Information Forensics and Security.

[192]  Huang Hua,et al.  High performance face recognition system by creating virtual sample , 2003, International Conference on Neural Networks and Signal Processing, 2003. Proceedings of the 2003.

[193]  Emmanuel J. Candès,et al.  Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information , 2004, IEEE Transactions on Information Theory.

[194]  Lei Zhang,et al.  A multi-manifold discriminant analysis method for image feature extraction , 2011, Pattern Recognit..

[195]  Shengcai Liao,et al.  Person re-identification by Local Maximal Occurrence representation and metric learning , 2014, 2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).

[196]  Zongben Xu,et al.  $L_{1/2}$ Regularization: A Thresholding Representation Theory and a Fast Solver , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[197]  Qin Li,et al.  Orthogonal discriminant vector for face recognition across pose , 2012, Pattern Recognit..

[198]  Chien-Hsing Chou,et al.  Application of associative memory in human face detection , 1999, IJCNN'99. International Joint Conference on Neural Networks. Proceedings (Cat. No.99CH36339).

[199]  Chih-Jen Lin,et al.  LIBLINEAR: A Library for Large Linear Classification , 2008, J. Mach. Learn. Res..

[200]  Matti Pietikäinen,et al.  IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 2009, TPAMI-2008-09-0620 1 WLD: A Robust Local Image Descriptor , 2022 .

[201]  Stephanie Schuckers,et al.  Spoofing and Anti-Spoofing Measures , 2002, Inf. Secur. Tech. Rep..

[202]  Edoardo Amaldi,et al.  On the Approximability of Minimizing Nonzero Variables or Unsatisfied Relations in Linear Systems , 1998, Theor. Comput. Sci..

[203]  David Zhang,et al.  A Survey of Sparse Representation: Algorithms and Applications , 2015, IEEE Access.

[204]  Jian Yang,et al.  Beyond sparsity: The role of L1-optimizer in pattern classification , 2012, Pattern Recognit..

[205]  Ana González-Marcos,et al.  Biometric Identification through Hand Geometry Measurements , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[206]  Brigitte Wirtz Stroke-based time warping for signature verification , 1995, Proceedings of 3rd International Conference on Document Analysis and Recognition.

[207]  Andrew Beng Jin Teoh,et al.  An automated palmprint recognition system , 2005, Image Vis. Comput..

[208]  Bob Zhang,et al.  Multiple representations and sparse representation for image classification , 2015, Pattern Recognit. Lett..

[209]  Stephanie Schuckers,et al.  Time-series detection of perspiration as a liveness test in fingerprint devices , 2005, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[210]  Hongyu Li,et al.  3D Palmprint Identification Using Block-Wise Features and Collaborative Representation , 2015, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[211]  J. M. Hans du Buf,et al.  Simultaneous Detection of Lines and Edges Using Compound Gabor Filters , 2000, Int. J. Pattern Recognit. Artif. Intell..

[212]  David Zhang,et al.  Fusion of Palmprint and Iris for Personal Authentication , 2007, ADMA.

[213]  Shan Gui-jun Virtual Sample Generating for Face Recognition from a Single Training Sample per Person , 2013 .

[214]  Geoffrey E. Hinton,et al.  ImageNet classification with deep convolutional neural networks , 2012, Commun. ACM.

[215]  David Zhang,et al.  Robust palmprint verification using 2D and 3D features , 2010, Pattern Recognit..

[216]  Chao Zhang,et al.  A comparison of typical ℓp minimization algorithms , 2013, Neurocomputing.

[217]  Larry S. Davis,et al.  Learning a discriminative dictionary for sparse coding via label consistent K-SVD , 2011, CVPR 2011.

[218]  David Zhang,et al.  Palmprint verification based on principal lines , 2008, Pattern Recognit..

[219]  David Zhang,et al.  Online Palmprint Identification , 2003, IEEE Trans. Pattern Anal. Mach. Intell..

[220]  Miguel A. Ferrer,et al.  Towards contactless palmprint authentication , 2011 .

[221]  David Zhang,et al.  Finger-Knuckle-Print Verification Based on Band-Limited Phase-Only Correlation , 2009, CAIP.