Subspace clustering methods based on data self-expression have become very popular for learning from data that lie in a union of low-dimensional linear subspaces. However, the applicability of subspace clustering has been limited because practical visual data in raw form do not necessarily lie in such linear subspaces. On the other hand, while Convolutional Neural Network (ConvNet) has been demonstrated to be a powerful tool for extracting discriminative features from visual data, training such a ConvNet usually requires a large amount of labeled data, which are unavailable in subspace clustering applications. To achieve simultaneous feature learning and subspace clustering, we propose an end-to-end trainable framework, called Self-Supervised Convolutional Subspace Clustering Network (S @math ConvSCN), that combines a ConvNet module (for feature learning), a self-expression module (for subspace clustering) and a spectral clustering module (for self-supervision) into a joint optimization framework. Particularly, we introduce a dual self-supervision that exploits the output of spectral clustering to supervise the training of the feature learning module (via a classification loss) and the self-expression module (via a spectral clustering loss). Our experiments on four benchmark datasets show the effectiveness of the dual self-supervision and demonstrate superior performance of our proposed approach.
In this paper, we attempt to develop a joint optimization framework for combining feature learning and subspace clustering, such that the useful self-supervision information from subspace clustering result could be used to guide the feature learning and to refine the self-expression model. Inspired by the success of Convolutional Neural Networks in recent years for classification tasks on images and videos datasets @cite_43 and the recent work @cite_8 , we integrate the convolutional feature extraction module into subspace clustering to form an end-to-end trainable joint optimization framework, called Self-Supervised Convolutional Subspace Clustering Network (S @math ConvSCN). In S @math ConvSCN, both the stacked convolutional layers based feature extraction and the self-expression based affinity learning are effectively self-supervised by exploiting the feedback from spectral clustering.
@cite_43 @cite_8
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To uncover an appropriate latent subspace for data representation, in this paper we propose a novel Robust Structured Subspace Learning (RSSL) algorithm by integrating image understanding and feature learning into a joint learning framework. The learned subspace is adopted as an intermediate space to reduce the semantic gap between the low-level visual features and the high-level semantics. To guarantee the subspace to be compact and discriminative, the intrinsic geometric structure of data, and the local and global structural consistencies over labels are exploited simultaneously in the proposed algorithm. Besides, we adopt the @math -norm for the formulations of loss function and regularization respectively to make our algorithm robust to the outliers and noise. An efficient algorithm is designed to solve the proposed optimization problem. It is noted that the proposed framework is a general one which can leverage several well-known algorithms as special cases and elucidate their intrinsic relationships. To validate the effectiveness of the proposed method, extensive experiments are conducted on diversity datasets for different image understanding tasks, i.e., image tagging, clustering, and classification, and the more encouraging results are achieved compared with some state-of-the-art approaches. Abstract This paper mainly focuses on dimensional reduction of fused dataset of holistic and geometrical face features vectors by solving singularity problem of linear discriminant analysis and maximizing the Fisher ratio in nonlinear subspace region with the preservation of local discriminative features. The combinational feature vector space is projected into low dimensional subspace using proposed Kernel Locality Preserving Symmetrical Weighted Fisher Discriminant Analysis (KLSWFDA) method. Matching score level fusion technique has been applied on projected subspace and combinational entire Gabor subspace is framed. Euclidean distance metric (L2) and support vector machine (SVM) classifier has been implemented to recognize and classify the expressions. Performance of proposed approach is evaluated and compared with state of art approaches. Experimental results on JAFFE, YALE and FD expression database demonstrate the effectiveness of the proposed approach. Cascaded subspace learning scheme is used for matching visible against thermal faces.Whitening transform, factor analysis and common discriminant analysis are employed.Cross-database evaluation is adopted to convey the effectiveness of the approach. Matching thermal (THM) face images against visible (VIS) face images poses a significant challenge to automated face recognition systems. In this work, we introduce a Heterogeneous Face Recognition (HFR) matching framework, which uses multiple sets of subspaces generated by sampling patches from VIS and THM face images and subjecting them to a sequence of transformations. In the training phase of the proposed scheme, face images from VIS and THM are subjected to three different filters separately and then tessellated into patches. Each patch is represented by either a Pyramid Scale Invariant Feature Transform (PSIFT) or Histograms of Principal Oriented Gradients (HPOG). Then, a cascaded subspace learning process consisting of whitening transformation, factor analysis, and common discriminant analysis is used to construct multiple common subspaces between VIS and THM facial images. During the testing phase, the projected feature vectors from individual subspaces are concatenated to form a final feature vector. Nearest Neighbor (NN) classifier is used to compare feature vectors and the resulting scores corresponding to three filtered images are combined via the sum-rule. The proposed face matching algorithm is evaluated on two multispectral face datasets and is shown to achieve very promising results. We present a novel deep neural network architecture for unsupervised subspace clustering. This architecture is built upon deep auto-encoders, which non-linearly map the input data into a latent space. Our key idea is to introduce a novel self-expressive layer between the encoder and the decoder to mimic the "self-expressiveness" property that has proven effective in traditional subspace clustering. Being differentiable, our new self-expressive layer provides a simple but effective way to learn pairwise affinities between all data points through a standard back-propagation procedure. Being nonlinear, our neural-network based method is able to cluster data points having complex (often nonlinear) structures. We further propose pre-training and fine-tuning strategies that let us effectively learn the parameters of our subspace clustering networks. Our experiments show that the proposed method significantly outperforms the state-of-the-art unsupervised subspace clustering methods.