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Sparse approximation is important in many applications because of concise form of an approximant and good accuracy guarantees. The theory of compressed sensing, which proved to be very useful in the image processing and data sciences, is…

Numerical Analysis · Mathematics 2025-02-20 V. Temlyakov

We present a sparse analogue to stochastic gradient descent that is guaranteed to perform well under similar conditions to the lasso. In the linear regression setup with irrepresentable noise features, our algorithm recovers the support set…

Statistics Theory · Mathematics 2014-12-16 Jacob Steinhardt , Stefan Wager , Percy Liang

It is known that sparsity can improve interpretability for deep neural networks. However, existing methods in the area either require networks that are pre-trained with sparsity constraints, or impose sparsity after the fact, altering the…

Machine Learning · Computer Science 2024-07-22 Arshia Soltani Moakhar , Eugenia Iofinova , Elias Frantar , Dan Alistarh

Compressed sensing is a technique for finding sparse solutions to underdetermined linear systems. This technique relies on properties of the sensing matrix such as the restricted isometry property. Sensing matrices that satisfy the…

Computational Complexity · Computer Science 2011-10-18 Pascal Koiran , Anastasios Zouzias

Sparse representation of 3D images is considered within the context of data reduction. The goal is to produce high quality approximations of 3D images using fewer elementary components than the number of intensity points in the 3D array.…

Image and Video Processing · Electrical Eng. & Systems 2019-06-12 Laura Rebollo-Neira , Daniel Whitehouse

In this paper we study the sparse coding problem in the context of sparse dictionary learning for image recovery. To this end, we consider and compare several state-of-the-art sparse optimization methods constructed using the shrinkage…

Computer Vision and Pattern Recognition · Computer Science 2025-04-03 Shima Shabani , Mohammadsadegh Khoshghiaferezaee , Michael Breuß

We propose a new algorithm for sparse spike estimation from Fourier measurements. Based on theoretical results on non-convex optimization techniques for off-the-grid sparse spike estimation, we present a projected gradient descent algorithm…

Signal Processing · Electrical Eng. & Systems 2020-08-26 Yann Traonmilin , Jean-François Aujol , Arthur Leclaire

This thesis consists of original contributions in the area of digital signal processing. The reconstruction of signals sparse (highly concentrated) in various transform domains is the primary problem analyzed in the thesis. The considered…

Signal Processing · Electrical Eng. & Systems 2019-09-19 Milos Brajovic

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

In this paper, we consider the problem of collaboratively estimating the sparsity pattern of a sparse signal with multiple measurement data in distributed networks. We assume that each node makes Compressive Sensing (CS) based measurements…

Information Theory · Computer Science 2012-11-29 Thakshila Wimalajeewa , Pramod K. Varshney

Deep neural networks have emerged as powerful tools for learning operators defined over infinite-dimensional function spaces. However, existing theories frequently encounter difficulties related to dimensionality and limited…

Machine Learning · Computer Science 2026-05-12 Jianfei Li , Shuo Huang , Han Feng , Ding-Xuan Zhou , Gitta Kutyniok

This paper uses Support Vector Machines (SVM) to fuse multiple classifiers for an offline signature system. From the signature images, global and local features are extracted and the signatures are verified with the help of Gaussian…

Computer Vision and Pattern Recognition · Computer Science 2010-03-31 Dakshina Ranjan Kisku , Phalguni Gupta , Jamuna Kanta Sing

The role of sparse representations in the context of structured noise filtering is discussed. A strategy, especially conceived so as to address problems of an ill posed nature, is presented. The proposed approach revises and extends the…

Functional Analysis · Mathematics 2007-09-18 Bishnu P. Lamichhane , Laura Rebollo-Neira

Large pre-trained transformers have revolutionized artificial intelligence across various domains, and fine-tuning remains the dominant approach for adapting these models to downstream tasks due to the cost of training from scratch.…

Computer Vision and Pattern Recognition · Computer Science 2025-07-16 Wei Chen , Jingxi Yu , Zichen Miao , Qiang Qiu

Spectral-based subspace clustering methods have proved successful in many challenging applications such as gene sequencing, image recognition, and motion segmentation. In this work, we first propose a novel spectral-based subspace…

Machine Learning · Statistics 2021-06-09 Hankui Peng , Nicos G. Pavlidis

Signal decomposition and multiscale signal analysis provide many useful tools for time-frequency analysis. We proposed a random feature method for analyzing time-series data by constructing a sparse approximation to the spectrogram. The…

Signal Processing · Electrical Eng. & Systems 2023-03-17 Nicholas Richardson , Hayden Schaeffer , Giang Tran

It has recently been observed that certain extremely simple feature encoding techniques are able to achieve state of the art performance on several standard image classification benchmarks including deep belief networks, convolutional nets,…

Machine Learning · Computer Science 2013-01-08 Misha Denil , Nando de Freitas

Over the past decade, the celebrated sparse representation model has achieved impressive results in various signal and image processing tasks. A convolutional version of this model, termed convolutional sparse coding (CSC), has been…

Signal Processing · Electrical Eng. & Systems 2018-10-03 Ives Rey-Otero , Jeremias Sulam , Michael Elad

Learning suitable Whole slide images (WSIs) representations for efficient retrieval systems is a non-trivial task. The WSI embeddings obtained from current methods are in Euclidean space not ideal for efficient WSI retrieval. Furthermore,…

Computer Vision and Pattern Recognition · Computer Science 2022-09-26 Sobhan Hemati , Shivam Kalra , Morteza Babaie , H. R. Tizhoosh

This paper introduces a novel approach to leverage the knowledge of existing expert models for training new Convolutional Neural Networks, on domains where task-specific data are limited or unavailable. The presented scheme is applied in…

Computer Vision and Pattern Recognition · Computer Science 2023-08-03 Dimitrios Tsourounis , Ilias Theodorakopoulos , Elias N. Zois , George Economou
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