2016 IEEE Conference on Computer Vision and Pattern Recognition (CVPR) 2016
DOI: 10.1109/cvpr.2016.322
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A Probabilistic Collaborative Representation Based Approach for Pattern Classification

Abstract: Conventional representation based classifiers, ranging from the classical nearest neighbor classifier and nearest subspace classifier to the recently developed sparse representation based classifier (SRC) and collaborative representation based classifier (CRC), are essentially distance based classifiers. Though SRC and CRC have shown interesting classification results, their intrinsic classification mechanism remains unclear. In this paper we propose a probabilistic collaborative representation framework, wher… Show more

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Cited by 250 publications
(216 citation statements)
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“…Cai et al [15] proposed the Probabilistic Collaborative Representation Based Classifier (ProCRC) algorithm for pattern classification. Let D = [ D 1 , D 2 ,…, D L ] ∈ ℝ M × N denote the training samples, where D l ∈ ℝ M × N l represents the training samples from the l th class with N l samples ( N = ∑ l =1 L N l ), and the dimension of each sample is M .…”
Section: Representation Based Classifiersmentioning
confidence: 99%
See 1 more Smart Citation
“…Cai et al [15] proposed the Probabilistic Collaborative Representation Based Classifier (ProCRC) algorithm for pattern classification. Let D = [ D 1 , D 2 ,…, D L ] ∈ ℝ M × N denote the training samples, where D l ∈ ℝ M × N l represents the training samples from the l th class with N l samples ( N = ∑ l =1 L N l ), and the dimension of each sample is M .…”
Section: Representation Based Classifiersmentioning
confidence: 99%
“…In order to show the ProCRC procedure clearly, let D l ′ = [0,…, D l ,…, 0] ∈ ℝ M × N and falseDl¯=D-Dl have the same size of D . More details about ProCRC can be found in [15]. …”
Section: Representation Based Classifiersmentioning
confidence: 99%
“…Local Contourlet Combined Patterns (LCCP) [8] reports a good performance in non-occlusion images but the recognition rate decreases in occlusion condition. There are some improvements [9], [10] for occlusion problem. The recent probabilistic collaborative representation (ProCRC) [10] jointly maximizes the likelihood of test samples with multiple classes.…”
Section: Introductionmentioning
confidence: 99%
“…There are some improvements [9], [10] for occlusion problem. The recent probabilistic collaborative representation (ProCRC) [10] jointly maximizes the likelihood of test samples with multiple classes.…”
Section: Introductionmentioning
confidence: 99%
“…The proposed LGECSDL algorithm is compared with another seven classical face recognition algorithms: nearest neighbor (NN) classification, collaborative representation based classification (CRC) [30], sparse representation based classification (SRC) [31], kernel-based probabilistic collaborative representation based classifier (ProKCRC) [32], VGG19 [33], kernel-based class specific dictionary learning (KCSDL) algorithm [29], and SVM [34].…”
Section: Experimental Settingsmentioning
confidence: 99%