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Sparse representation or collaborative representation which helps face recognition? (2011)

by L Zhang, M Yang, X C Feng
Venue:In ICCV,
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Fisher Discrimination Dictionary Learning for Sparse Representation

by Meng Yang , Lei Zhang , Xiangchu Feng , David Zhang
"... Sparse representation based classification has led to interesting image recognition results, while the dictionary used for sparse coding plays a key role in it. This paper presents a novel dictionary learning (DL) method to improve the pattern classification performance. Based on the Fisher discrimi ..."
Abstract - Cited by 72 (9 self) - Add to MetaCart
Sparse representation based classification has led to interesting image recognition results, while the dictionary used for sparse coding plays a key role in it. This paper presents a novel dictionary learning (DL) method to improve the pattern classification performance. Based on the Fisher discrimination criterion, a structured dictionary, whose dictionary atoms have correspondence to the class labels, is learned so that the reconstruction error after sparse coding can be used for pattern classification. Meanwhile, the Fisher discrimination criterion is imposed on the coding coefficients so that they have small within-class scatter but big between-class scatter. A new classification scheme associated with the proposed Fisher discrimination DL (FDDL) method is then presented by using both the discriminative information in the reconstruction error and sparse coding coefficients. The proposed FDDL is extensively evaluated on benchmark image databases in comparison with existing sparse representation and DL based classification methods.

Partial Face Recognition: Alignment-Free Approach

by Shengcai Liao, Anil K. Jain, Stan Z. Li
"... Numerous methods have been developed for holistic face recognition with impressive performance. However, few studies have tackled how to recognize an arbitrary patch of a face image. Partial faces frequently appear in unconstrained scenarios, with images captured by surveillance cameras or handheld ..."
Abstract - Cited by 21 (8 self) - Add to MetaCart
Numerous methods have been developed for holistic face recognition with impressive performance. However, few studies have tackled how to recognize an arbitrary patch of a face image. Partial faces frequently appear in unconstrained scenarios, with images captured by surveillance cameras or handheld devices (e.g. mobile phones) in particular. In this paper, we propose a general partial face recognition approach that does not require face alignment by eye coordinates or any other fiducial points. We develop an alignment-free face representation method based on Multi-Keypoint Descriptors (MKD), where the descriptor size of a face is determined by the actual content of the image. In this way, any probe face image, holistic or partial, can be sparsely represented by a large dictionary of gallery descriptors. A new keypoint descriptor called Gabor Ternary Pattern (GTP) is also developed for robust and discriminative face recognition. Experimental results are reported on four public domain face databases (FRGCv2.0, AR, LFW, and PubFig) under both the open-set identification and verification scenarios. Comparisons with two leading commercial face recognition SDKs (PittPatt and FaceVACS) and two baseline algorithms (PCA+LDA and LBP) show that the proposed method, overall, is superior in recognizing both holistic and partial faces without requiring alignment.
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...], [48]. However, all of them were applied on pre-aligned face images. While SIFT matching is fast, it treats each image pair independently and therefore does not utilize collaborative representation =-=[49]-=- of different subjects in the gallery set. Since many local facial patches may look similar, it is possible that the SIFT matching would find more matches for an impostor pair than a genuine pair [9]....

Relaxed Collaborative Representation for Pattern Classification

by Meng Yang, Lei Zhang, David Zhang, Shenlong Wang
"... Regularized linear representation learning has led to interesting results in image classification, while how the object should be represented is a critical issue to be investigated. Considering the fact that the different features in a sample should contribute differently to the pattern representati ..."
Abstract - Cited by 20 (0 self) - Add to MetaCart
Regularized linear representation learning has led to interesting results in image classification, while how the object should be represented is a critical issue to be investigated. Considering the fact that the different features in a sample should contribute differently to the pattern representation and classification, in this paper we present a novel relaxed collaborative representation (RCR) model to effectively exploit the similarity and distinctiveness of features. In RCR, each feature vector is coded on its associated dictionary to allow flexibility of feature coding, while the variance of coding vectors is minimized to address the similarity among features. In addition, the distinctiveness of different features is exploited by weighting its distance to other features in the coding domain. The proposed RCR is simple, while our extensive experimental results on benchmark image databases (e.g., various face and flower databases) show that it is very competitive with state-of-the-art image classification methods. 1.
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...male and 50 female subjects (each person has 26 pictures with the normalized size as 60×43). a) FR without occlusion: The SVM (linear kernel) is used as the baseline, and the methods of SRC [25], CRC =-=[29]-=-, MTJSRC [28] and LRC [8] are used to compare with the proposed RCR. The multi-block RCR is used here, and we simply divide the face image into 1 × 4 blocks. For each subject of Extended Yale B, we ra...

Multi-scale Patch based Collaborative Representation for Face Recognition with Margin Distribution Optimization

by Pengfei Zhu, Lei Zhang, Qinghua Hu, Simon C. K. Shiu
"... Abstract. Small sample size is one of the most challenging problems in face recognition due to the difficulty of sample collection in many real-world applications. By representing the query sample as a linear combination of training samples from all classes, the so-called collaborative representatio ..."
Abstract - Cited by 17 (1 self) - Add to MetaCart
Abstract. Small sample size is one of the most challenging problems in face recognition due to the difficulty of sample collection in many real-world applications. By representing the query sample as a linear combination of training samples from all classes, the so-called collaborative representation based classification (CRC) shows very effective face recognition performance with low computational cost. However, the recognition rate of CRC will drop dramatically when the available training samples per subject are very limited. One intuitive solution to this problem is operating CRC on patches and combining the recognition outputs of all patches. Nonetheless, the setting of patch size is a nontrivial task. Considering the fact that patches on different scales can have complementary information for classification, we propose a multiscale patchbasedCRCmethod,while theensembleofmulti-scaleoutputs is achieved by regularized margin distribution optimization. Our extensive experiments validated that the proposed method outperforms many state-of-the-art patch based face recognition algorithms. 1
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... see that PCRC and MSPCRC work much better than other methods, while the recognition performance is greatly improved by MSPCRC. Table 5. Recognition accuracy (%) on the LFW database Method 2 3 4 5 CRC=-=[9]-=- 24.7±2.1 31.9±2.4 37.8±2.6 42.0±3.2 SRC[8] 24.4±2.4 32.7±3.2 38.7±2.4 44.1±2.6 NN 9.3±1.7 11.4±1.8 13.0±1.7 14.3±1.9 PNN[14] 23.1±2.4 28.1±3.1 33.2±3.1 37.4±2.7 BlockFLD[16] 18.0±2.1 22.3±2.1 26.2±2....

Robust and Practical Face Recognition via Structured Sparsity

by Kui Jia, Tsung-han Chan, Yi Ma
"... Abstract. Sparse representation based classification (SRC) methods have recently drawn much attention in face recognition, due to their good performance and robustness against misalignment, illumination variation, and occlusion. They assume the errors caused by image variations can be modeled as pix ..."
Abstract - Cited by 12 (0 self) - Add to MetaCart
Abstract. Sparse representation based classification (SRC) methods have recently drawn much attention in face recognition, due to their good performance and robustness against misalignment, illumination variation, and occlusion. They assume the errors caused by image variations can be modeled as pixel-wisely sparse. However, in many practical scenarios these errors are not truly pixel-wisely sparse but rather sparsely distributed with structures, i.e., they constitute contiguous regions distributed at different face positions. In this paper, we introduce a class of structured sparsity-inducing norms into the SRC framework, to model various corruptions in face images caused by misalignment, shadow (due to illumination change), and occlusion. For practical face recognition, we develop an automatic face alignment method based on minimizing the structured sparsity norm. Experiments on benchmark face datasets show improved performance over SRC and other alternative methods. 1
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...ase, as discussed in [13]. [13] demonstrates the state-of-the-art face recognition performance in a practical access control setting. The success of SRC methods has also inspired many following works =-=[14, 15]-=-. In the context of statistical signal processing, it is well known that when using ℓ1-norm to promote the sparsity in the errors e, it assumes that each pixel is independently corrupted. However, for...

Sparse Representation with Kernels

by Shenghua Gao , Ivor Wai-hung Tsang , Liang-tien Chia , 2012
"... Recent research has shown the initial success of sparse coding (Sc) in solving many computer vision tasks. Motivated by the fact that kernel trick can capture the nonlinear similarity of features, which helps find a sparse representation of nonlinear features, we therefore propose Kernel Sparse Repr ..."
Abstract - Cited by 11 (3 self) - Add to MetaCart
Recent research has shown the initial success of sparse coding (Sc) in solving many computer vision tasks. Motivated by the fact that kernel trick can capture the nonlinear similarity of features, which helps find a sparse representation of nonlinear features, we therefore propose Kernel Sparse Representation (KSR). Essentially, KSR is a sparse coding technique in a high dimensional feature space mapped by an implicit mapping function. We apply KSR to feature coding in image classification, face recognition and kernel matrix approximation. More specifically, by incorporating KSR into Spatial Pyramid Matching (SPM), we develop KSRSPM, which achieves good performance for image classification. Moreover, KSR based feature coding can be shown as a generalization of Efficient Match Kernel (EMK) and an extension of Sc based SPM (ScSPM). We further show that our proposed KSR using Histogram Intersection Kernel (HIK) can be considered as a soft assignment extension of HIK based feature quantization in feature coding process. Besides feature coding, comparing with sparse coding, KSR can learn more discriminative sparse codes and achieve higher accuracy for face recognition. Moreover, KSR can also be applied to kernel matrix approximation in large scale learning tasks, and it demonstrates its robustness to kernel matrix approximation especially when a small fraction of the data is used. Extensive experimental results demonstrate promising results of KSR in the image classification, face recognition and kernel matrix approximation. All these applications proves the effectiveness of KSR in computer vision and machine learning tasks.
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...chieves excellent performance and exhibits its robust to occlusion, illumination and noise. Following the work of Wright et al., other sparse coding related face recognition methods are proposed [27]–=-=[29]-=- recently. Collaborative representation for face classification [29] (referred to as CRC) is one representative method among these work. CRC replaces the ℓ1 norm with ℓ2 norm in sparse coding formulat...

Nearest Regularized Subspace for Hyperspectral Classification

by Wei Li, Eric W. Tramel, Saurabh Prasad, James E. Fowler, Senior Member - IEEE Transactions on Geoscience and Remote Sensing, Submitted April 2012. Revised , 2012
"... Abstract—A classifier that couples nearest-subspace classification with a distance-weighted Tikhonov regularization is proposed for hyperspectral imagery. The resulting nearest-regularizedsubspace classifier seeks an approximation of each testing sample via a linear combination of training samples w ..."
Abstract - Cited by 11 (10 self) - Add to MetaCart
Abstract—A classifier that couples nearest-subspace classification with a distance-weighted Tikhonov regularization is proposed for hyperspectral imagery. The resulting nearest-regularizedsubspace classifier seeks an approximation of each testing sample via a linear combination of training samples within each class. The class label is then derived according to the class which best approximates the test sample. The distance-weighted Tikhonov regularization is then modified by measuring distance within a locality-preserving lower-dimensional subspace. Furthermore, a competitive process among the classes is proposed to simplify parameter tuning. Classification results for several hyperspectral image data sets demonstrate superior performance of the proposed approach when compared to other, more traditional classification techniques. Index Terms—Classification, hyperspectral data, Tikhonov regularization. I.
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...mples are available; [21] considered discriminative sparse representation; while [22] introduced sparse representation in semisupervised learning. An approach similar to SRC was taken by Zhang et al. =-=[23]-=- who proposed collaborative-representation classification (CRC) for face recognition. CRC is similar to SRC in that a linear combination of training samples represents a testing sample. However, contr...

Regularized Robust Coding for Face Recognition

by Meng Yang , Lei Zhang , Jian Yang , David Zhang
"... Recently the sparse representation based classification (SRC) has been proposed for robust face recognition (FR). In SRC, the testing image is coded as a sparse linear combination of the training samples, and the representation fidelity is measured by the l2-norm or l1-norm of the coding residual. ..."
Abstract - Cited by 11 (3 self) - Add to MetaCart
Recently the sparse representation based classification (SRC) has been proposed for robust face recognition (FR). In SRC, the testing image is coded as a sparse linear combination of the training samples, and the representation fidelity is measured by the l2-norm or l1-norm of the coding residual. Such a sparse coding model assumes that the coding residual follows Gaussian or Laplacian distribution, which may not be effective enough to describe the coding residual in practical FR systems. Meanwhile, the sparsity constraint on the coding coefficients makes SRC’s computational cost very high. In this paper, we propose a new face coding model, namely regularized robust coding (RRC), which could robustly regress a given signal with regularized regression coefficients. By assuming that the coding residual and the coding coefficient are respectively independent and identically distributed, the RRC seeks for a maximum a posterior solution of the coding problem. An iteratively reweighted regularized robust coding (IR 3 C) algorithm is proposed to solve the RRC model efficiently. Extensive experiments on representative face databases demonstrate that the RRC is much more effective and efficient than state-of-the-art sparse representation based methods in dealing with face occlusion, corruption, lighting and expression changes, etc.

Iterative Nearest Neighbors for Classification and Dimensionality Reduction

by Radu Timofte, Luc Van Gool
"... Representative data in terms of a set of selected sam-ples is of interest for various machine learning applica-tions, e.g. dimensionality reduction and classification. The best-known techniques probably still are k-Nearest Neigh-bors (kNN) and its variants. Recently, richer representa-tions have bec ..."
Abstract - Cited by 9 (8 self) - Add to MetaCart
Representative data in terms of a set of selected sam-ples is of interest for various machine learning applica-tions, e.g. dimensionality reduction and classification. The best-known techniques probably still are k-Nearest Neigh-bors (kNN) and its variants. Recently, richer representa-tions have become popular. Examples are methods based on l1-regularized least squares (Sparse Representation (SR)) or l2-regularized least squares (Collaborative Representa-tion (CR)), or on l1-constrained least squares (Local Linear Embedding (LLE)). We propose Iterative Nearest Neighbors (INN). This is a novel sparse representation that combines the power of SR and LLE with the computational simplicity of kNN. We test our method in terms of dimensionality re-duction and classification, using standard benchmarks such as faces (AR), traffic signs (GTSRB), and PASCAL VOC 2007. INN performs better than NN and comparable with CR and SR, while being orders of magnitude faster than the latter. 1.
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...-regularized least squares sense. It then decides based on the class labels of the samples that contribute to the representation of the query sample. The Collaborative Representation Classifier (CRC) =-=[21]-=- starts instead from the l2-regularized least squares solution. Of course, apart from performance, there also is the computational efficiency to consider. Whereas SR and CR may excel in terms of the f...

Collaborative Representation based Classification for Face Recognition

by Lei Zhang , Meng Yang , Xiangchu Feng , Yi Ma , David Zhang
"... By coding a query sample as a sparse linear combination of all training samples and then classifying it by evaluating which class leads to the minimal coding residual, sparse representation based classification (SRC) leads to interesting results for robust face recognition. It is widely believed t ..."
Abstract - Cited by 8 (5 self) - Add to MetaCart
By coding a query sample as a sparse linear combination of all training samples and then classifying it by evaluating which class leads to the minimal coding residual, sparse representation based classification (SRC) leads to interesting results for robust face recognition. It is widely believed that the l1norm sparsity constraint on coding coefficients plays a key role in the success of SRC, while its use of all training samples to collaboratively represent the query sample is rather ignored. In this paper we discuss how SRC works, and show that the collaborative representation mechanism used in SRC is much more crucial to its success of face classification. The SRC is a special case of collaborative representation based classification (CRC), which has various instantiations by applying different norms to the coding residual and coding coefficient. More specifically, the l1 or l2 norm characterization of coding residual is related to the robustness of CRC to outlier facial pixels, while the l1 or l2 norm characterization of coding coefficient is related to the degree of discrimination of facial features. Extensive experiments were conducted to verify the face recognition accuracy and efficiency of CRC with different instantiations.
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