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We propose and analyze a novel framework for learning sparse representations, based on two statistical techniques: kernel smoothing and marginal regression. The proposed approach provides a flexible framework for incorporating feature…

Machine Learning · Statistics 2012-10-04 Krishnakumar Balasubramanian , Kai Yu , Guy Lebanon

This paper proposes a subspace decomposition method based on an over-complete dictionary in sparse representation, called "Sparse Signal Subspace Decomposition" (or 3SD) method. This method makes use of a novel criterion based on the…

Machine Learning · Statistics 2016-10-28 Hong Sun , Chengwei Sang , Didier Le Ruyet

The reasonable definition of semantic interpretability presents the core challenge in explainable AI. This paper proposes a method to modify a traditional convolutional neural network (CNN) into an interpretable compositional CNN, in order…

Computer Vision and Pattern Recognition · Computer Science 2021-07-12 Wen Shen , Zhihua Wei , Shikun Huang , Binbin Zhang , Jiaqi Fan , Ping Zhao , Quanshi Zhang

Subspace clustering aims to group data points that lie in a union of low-dimensional subspaces and finds wide application in computer vision, hyperspectral imaging, and recommendation systems. However, most existing methods assume fully…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Huanran Li , Daniel Pimentel-Alarcón

This work addresses the problem of learning sparse representations of tensor data using structured dictionary learning. It proposes learning a mixture of separable dictionaries to better capture the structure of tensor data by generalizing…

Machine Learning · Computer Science 2020-06-16 Mohsen Ghassemi , Zahra Shakeri , Anand D. Sarwate , Waheed U. Bajwa

The dictionary learning problem, representing data as a combination of a few atoms, has long stood as a popular method for learning representations in statistics and signal processing. The most popular dictionary learning algorithm…

Machine Learning · Computer Science 2022-08-04 Bahareh Tolooshams , Demba Ba

In dictionary learning, also known as sparse coding, the algorithm is given samples of the form $y = Ax$ where $x\in \mathbb{R}^m$ is an unknown random sparse vector and $A$ is an unknown dictionary matrix in $\mathbb{R}^{n\times m}$…

Data Structures and Algorithms · Computer Science 2014-01-06 Sanjeev Arora , Aditya Bhaskara , Rong Ge , Tengyu Ma

Feature encoding with respect to an over-complete dictionary learned by unsupervised methods, followed by spatial pyramid pooling, and linear classification, has exhibited powerful strength in various vision applications. Here we propose to…

Computer Vision and Pattern Recognition · Computer Science 2013-10-08 Fayao Liu , Chunhua Shen , Ian Reid , Anton van den Hengel

Archetypal scenarios for change detection generally consider two images acquired through sensors of the same modality. However, in some specific cases such as emergency situations, the only images available may be those acquired through…

Image and Video Processing · Electrical Eng. & Systems 2019-09-04 Vinicius Ferraris , Nicolas Dobigeon , Yanna Cavalcanti , Thomas Oberlin , Marie Chabert

We describe a stochastic, dynamical system capable of inference and learning in a probabilistic latent variable model. The most challenging problem in such models - sampling the posterior distribution over latent variables - is proposed to…

Machine Learning · Statistics 2022-07-26 Michael Y. -S. Fang , Mayur Mudigonda , Ryan Zarcone , Amir Khosrowshahi , Bruno A. Olshausen

Correlation filters are special classifiers designed for shift-invariant object recognition, which are robust to pattern distortions. The recent literature shows that combining a set of sub-filters trained based on a single or a small group…

Computer Vision and Pattern Recognition · Computer Science 2018-02-14 Baochang Zhang , Shangzhen Luan , Chen Chen , Jungong Han , Wei Wang , Alessandro Perina , Ling Shao

Applying compressive sensing (CS) allows for sub-Nyquist sampling in several application areas in 5G and beyond. This reduces the associated training, feedback, and computation overheads in many applications. However, the applicability of…

Signal Processing · Electrical Eng. & Systems 2020-12-21 Mahmoud Nazzal , Mehmet Ali Aygul , Huseyin Arslan

We consider the dictionary learning problem, where the aim is to model the given data as a linear combination of a few columns of a matrix known as a dictionary, where the sparse weights forming the linear combination are known as…

Machine Learning · Computer Science 2019-08-29 Sirisha Rambhatla , Xingguo Li , Jarvis Haupt

Stochastic finite automata arise naturally in many language and speech processing tasks. They include stochastic acceptors, which represent certain probability distributions over random strings. We consider the problem of efficient…

Computation and Language · Computer Science 2019-09-24 Martin Jansche , Alexander Gutkin

Diffusion models have transformed the landscape of image generation and now show remarkable potential for image compression. Most of the recent diffusion-based compression methods require training and are tailored for a specific bit-rate.…

Computer Vision and Pattern Recognition · Computer Science 2025-02-06 Noam Elata , Tomer Michaeli , Michael Elad

Supervised Dictionary Learning has gained much interest in the recent decade and has shown significant performance improvements in image classification. However, in general, supervised learning needs a large number of labelled samples per…

Computer Vision and Pattern Recognition · Computer Science 2020-09-15 Khanh-Hung Tran , Fred-Maurice Ngole-Mboula , Jean-Luc Starck , Vincent Prost

Depthwise separable convolutions reduce the number of parameters and computation used in convolutional operations while increasing representational efficiency. They have been shown to be successful in image classification models, both in…

Computation and Language · Computer Science 2017-06-19 Lukasz Kaiser , Aidan N. Gomez , Francois Chollet

In a sparse representation based recognition scheme, it is critical to learn a desired dictionary, aiming both good representational power and discriminative performance. In this paper, we propose a new dictionary learning model for…

Computer Vision and Pattern Recognition · Computer Science 2016-11-29 Xinglin Piao , Yongli Hu , Yanfeng Sun , Junbin Gao , Baocai Yin

The efficient sparse coding and reconstruction of signal vectors via linear observations has received a tremendous amount of attention over the last decade. In this context, the automated learning of a suitable basis or overcomplete…

Information Theory · Computer Science 2015-06-19 Andreas M. Tillmann

In this work, we consider learning sparse models in large scale settings, where the number of samples and the feature dimension can grow as large as millions or billions. Two immediate issues occur under such challenging scenario: (i)…

Machine Learning · Statistics 2023-01-31 Atul Dhingra , Jie Shen , Nicholas Kleene