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Compressed sensing aims to undersample certain high-dimensional signals, yet accurately reconstruct them by exploiting signal characteristics. Accurate reconstruction is possible when the object to be recovered is sufficiently sparse in a…

Information Theory · Computer Science 2015-05-13 David L. Donoho , Arian Maleki , Andrea Montanari

Sparse coding strategies have been lauded for their parsimonious representations of data that leverage low dimensional structure. However, inference of these codes typically relies on an optimization procedure with poor computational…

Machine Learning · Computer Science 2022-09-02 Kion Fallah , Christopher J. Rozell

Compressed sensing is a technique for recovering an unknown sparse signal from a small number of linear measurements. When the measurement matrix is random, the number of measurements required for perfect recovery exhibits a phase…

Optimization and Control · Mathematics 2016-12-30 Mateo Díaz , Mauricio Junca , Felipe Rincón , Mauricio Velasco

This work presents an approach for image reconstruction in clinical low-dose tomography that combines principles from sparse signal processing with ideas from deep learning. First, we describe sparse signal representation in terms of…

Machine Learning · Statistics 2023-11-27 Jevgenija Rudzusika , Thomas Koehler , Ozan Öktem

This article presents novel results concerning the recovery of signals from undersampled data in the common situation where such signals are not sparse in an orthonormal basis or incoherent dictionary, but in a truly redundant dictionary.…

Numerical Analysis · Mathematics 2015-03-17 Emmanuel J. Candes , Yonina C. Eldar , Deanna Needell , Paige Randall

The automated construction of coarse-grained models represents a pivotal component in computer simulation of physical systems and is a key enabler in various analysis and design tasks related to uncertainty quantification. Pertinent methods…

Machine Learning · Statistics 2019-09-11 Constantin Grigo , Phaedon-Stelios Koutsourelakis

The sparse modeling is an evident manifestation capturing the parsimony principle just described, and sparse models are widespread in statistics, physics, information sciences, neuroscience, computational mathematics, and so on. In…

Machine Learning · Computer Science 2023-08-29 Jianyi Lin

Estimating parameters and properties of various materials without causing damage to the material under test (MUT) is important in many applications. Thus, in this letter, we address this by wireless sensing. Here, the accuracy of the…

Signal Processing · Electrical Eng. & Systems 2020-10-29 Udaya S. K. P. Miriya Thanthrige , Jan Barowski , Ilona Rolfes , Daniel Erni , Thomas Kaiser , Aydin Sezgin

Deep learning models have significantly improved the visual quality and accuracy on compressive sensing recovery. In this paper, we propose an algorithm for signal reconstruction from compressed measurements with image priors captured by a…

Machine Learning · Computer Science 2020-03-20 Shaojie Xu , Sihan Zeng , Justin Romberg

This paper proposes a sparse regression strategy for discovery of ordinary differential equations from incomplete and noisy data. Inference is performed over both equation parameters and state variables using a statistically motivated…

Dynamical Systems · Mathematics 2026-02-18 Teddy Meissner , Karl Glasner

Convolutional Sparse Coding (CSC) is an increasingly popular model in the signal and image processing communities, tackling some of the limitations of traditional patch-based sparse representations. Although several works have addressed the…

Computer Vision and Pattern Recognition · Computer Science 2017-05-10 Vardan Papyan , Yaniv Romano , Jeremias Sulam , Michael Elad

Pre-trained language models (PLMs) are engineered to be robust in contextual understanding and exhibit outstanding performance in various natural language processing tasks. However, their considerable size incurs significant computational…

Computation and Language · Computer Science 2024-08-21 Guanchen Li , Xiandong Zhao , Lian Liu , Zeping Li , Dong Li , Lu Tian , Jie He , Ashish Sirasao , Emad Barsoum

The information bottleneck framework provides a systematic approach to learning representations that compress nuisance information in the input and extract semantically meaningful information about predictions. However, the choice of a…

One of the crucial tasks in many inference problems is the extraction of sparse information out of a given number of high-dimensional measurements. In machine learning, this is frequently achieved using, as a penality term, the $L_p$ norm…

Disordered Systems and Neural Networks · Physics 2012-02-09 Alejandro Lage-Castellanos , Andrea Pagnani , Martin Weigt

Recently, SimCSE has shown the feasibility of contrastive learning in training sentence embeddings and illustrates its expressiveness in spanning an aligned and uniform embedding space. However, prior studies have shown that dense models…

Computation and Language · Computer Science 2023-11-08 Ruize An , Chen Zhang , Dawei Song

Sparse dictionary learning (SDL) is a fundamental technique that is useful for many image processing tasks. As an example we consider here image recovery, where SDL can be cast as a nonsmooth optimization problem. For this kind of problems,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-06 Mohammadsadegh Khoshghiaferezaee , Moritz Krauth , Shima Shabani , Michael Breuß

In compressed sensing, we wish to reconstruct a sparse signal $x$ from observed data $y$. In sparse coding, on the other hand, we wish to find a representation of an observed signal $y$ as a sparse linear combination, with coefficients $x$,…

Computer Vision and Pattern Recognition · Computer Science 2013-11-25 Will Landecker , Rick Chartrand , Simon DeDeo

In recent literature, contextual pretrained Language Models (LMs) demonstrated their potential in generalizing the knowledge to several Natural Language Processing (NLP) tasks including supervised Word Sense Disambiguation (WSD), a…

Computation and Language · Computer Science 2019-11-18 Max Raphael Sobroza , Tales Marra , Deok-Hee Kim-Dufor , Claude Berrou

In this work, we propose a joint collaboration-compression framework for sequential estimation of a random vector parameter in a resource constrained wireless sensor network (WSN). Specifically, we propose a framework where the local…

Signal Processing · Electrical Eng. & Systems 2021-09-08 Xiancheng Cheng , Prashant Khanduri , Boxiao Chen , Pramod K. Varshney

Dictionary learning methods continue to gain popularity for the solution of challenging inverse problems. In the dictionary learning approach, the computational forward model is replaced by a large dictionary of possible outcomes, and the…

Machine Learning · Statistics 2023-09-06 Alberto Bocchinfuso , Daniela Calvetti , Erkki Somersalo
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