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We consider the problem of sparse coding, where each sample consists of a sparse linear combination of a set of dictionary atoms, and the task is to learn both the dictionary elements and the mixing coefficients. Alternating minimization is…

Machine Learning · Computer Science 2014-07-30 Alekh Agarwal , Animashree Anandkumar , Prateek Jain , Praneeth Netrapalli

In histopathological image analysis, feature extraction for classification is a challenging task due to the diversity of histology features suitable for each problem as well as presence of rich geometrical structure. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2016-11-18 Tiep H. Vu , Hojjat S. Mousavi , Vishal Monga , UK Arvind Rao , Ganesh Rao

In this paper, we investigate the robust dictionary learning (DL) to discover the hybrid salient low-rank and sparse representation in a factorized compressed space. A Joint Robust Factorization and Projective Dictionary Learning (J-RFDL)…

Machine Learning · Computer Science 2019-12-30 Jiahuan Ren , Zhao Zhang , Sheng Li , Yang Wang , Guangcan Liu , Shuicheng Yan , Meng Wang

We show that for unconstrained Deep Linear Discriminant Analysis (LDA) classifiers, maximum-likelihood training admits pathological solutions in which class means drift together, covariances collapse, and the learned representation becomes…

Machine Learning · Statistics 2026-01-06 Maxat Tezekbayev , Rustem Takhanov , Arman Bolatov , Zhenisbek Assylbekov

In sparse recovery, the unique sparsest solution to an under-determined system of linear equations is of main interest. This scheme is commonly proposed to be applied to signal acquisition. In most cases, the signals are not sparse…

Information Theory · Computer Science 2013-07-16 Henning Zörlein , Faisal Akram , Martin Bossert

A new method is proposed in this paper to learn overcomplete dictionary from training data samples. Differing from the current methods that enforce similar sparsity constraint on each of the input samples, the proposed method attempts to…

Data Structures and Algorithms · Computer Science 2013-05-14 Deyu Meng , Yee Leung , Qian Zhao , Zongben Xu

Spoken language recognition (SLR) refers to the automatic process used to determine the language present in a speech sample. SLR is an important task in its own right, for example, as a tool to analyze or categorize large amounts of…

Computation and Language · Computer Science 2022-08-15 Luciana Ferrer , Diego Castan , Mitchell McLaren , Aaron Lawson

Dictionary learning is a popular approach for inferring a hidden basis or dictionary in which data has a sparse representation. Data generated from the dictionary A (an n by m matrix, with m > n in the over-complete setting) is given by Y =…

Machine Learning · Computer Science 2018-05-09 Pranjal Awasthi , Aravindan Vijayaraghavan

Similarity-based clustering and semi-supervised learning methods separate the data into clusters or classes according to the pairwise similarity between the data, and the pairwise similarity is crucial for their performance. In this paper,…

Machine Learning · Statistics 2017-09-06 Yingzhen Yang , Feng Liang , Nebojsa Jojic , Shuicheng Yan , Jiashi Feng , Thomas S. Huang

We propose a compressed sampling and dictionary learning framework for fiber-optic sensing using wavelength-tunable lasers. A redundant dictionary is generated from a model for the reflected sensor signal. Imperfect prior knowledge is…

Methodology · Statistics 2017-06-13 Christian Weiss , Abdelhak M. Zoubir

Dictionary learning is traditionally formulated as an $L_1$-regularized signal reconstruction problem. While recent developments have incorporated discriminative, hierarchical, or generative structures, most approaches rely on encouraging…

Machine Learning · Computer Science 2025-10-01 Zihui Zhao , Yuanbo Tang , Jieyu Ren , Xiaoping Zhang , Yang Li

Linear discriminant analysis (LDA) is a classical method for dimensionality reduction, where discriminant vectors are sought to project data to a lower dimensional space for optimal separability of classes. Several recent papers have…

Computation · Statistics 2022-03-04 Summer Atkins , Gudmundur Einarsson , Brendan Ames , Line Clemmensen

Dictionary learning is a challenge topic in many image processing areas. The basic goal is to learn a sparse representation from an overcomplete basis set. Due to combining the advantages of generic multiscale representations with learning…

Computer Vision and Pattern Recognition · Computer Science 2017-04-17 Rui Chen , Huizhu Jia , Xiaodong Xie , Wen Gao

Deep learning (DL) has been widely adopted those last years but they are computing-intensive method. Therefore, scientists proposed diverse optimization to accelerate their predictions for end-user applications. However, no single inference…

Machine Learning · Computer Science 2022-10-11 Pierrick Pochelu

In many social, economical, biological and medical studies, one objective is to classify a subject into one of several classes based on a set of variables observed from the subject. Because the probability distribution of the variables is…

Statistics Theory · Mathematics 2011-05-19 Jun Shao , Yazhen Wang , Xinwei Deng , Sijian Wang

In histopathological image analysis, feature extraction for classification is a challenging task due to the diversity of histology features suitable for each problem as well as presence of rich geometrical structures. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2016-03-30 Tiep Huu Vu , Hojjat Seyed Mousavi , Vishal Monga , Arvind UK Rao , Ganesh Rao

A discriminative structured analysis dictionary is proposed for the classification task. A structure of the union of subspaces (UoS) is integrated into the conventional analysis dictionary learning to enhance the capability of…

Computer Vision and Pattern Recognition · Computer Science 2019-09-17 Wen Tang , Ashkan Panahi , Hamid Krim , Liyi Dai

Sparse linear discriminant analysis via penalized optimal scoring is a successful tool for classification in high-dimensional settings. While the variable selection consistency of sparse optimal scoring has been established, the…

Statistics Theory · Mathematics 2021-04-01 Irina Gaynanova

Sparse coding and dictionary learning are popular techniques for linear inverse problems such as denoising or inpainting. However in many cases, the measurement process is nonlinear, for example for clipped, quantized or 1-bit measurements.…

Signal Processing · Electrical Eng. & Systems 2020-01-08 Lucas Rencker , Francis Bach , Wenwu Wang , Mark D. Plumbley

This work investigates how the traditional image classification pipelines can be extended into a deep architecture, inspired by recent successes of deep neural networks. We propose a deep boosting framework based on layer-by-layer joint…

Computer Vision and Pattern Recognition · Computer Science 2015-08-12 Zhanglin Peng , Ya Li , Zhaoquan Cai , Liang Lin