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We propose a simple modification to the iterative hard thresholding (IHT) algorithm, which recovers asymptotically sparser solutions as a function of the condition number. When aiming to minimize a convex function $f(x)$ with condition…

Optimization and Control · Mathematics 2022-04-19 Kyriakos Axiotis , Maxim Sviridenko

Sparse representations using learned dictionaries are being increasingly used with success in several data processing and machine learning applications. The availability of abundant training data necessitates the development of efficient,…

Computer Vision and Pattern Recognition · Computer Science 2013-09-26 Jayaraman J. Thiagarajan , Karthikeyan Natesan Ramamurthy , Andreas Spanias

A key recent advance in face recognition models a test face image as a sparse linear combination of a set of training face images. The resulting sparse representations have been shown to possess robustness against a variety of distortions…

Computer Vision and Pattern Recognition · Computer Science 2011-11-09 Yi Chen , Umamahesh Srinivas , Thong T. Do , Vishal Monga , Trac D. Tran

Behavioral patterns captured in embeddings learned from interaction data are pivotal across various stages of production recommender systems. However, in the initial retrieval stage, practitioners face an inherent tradeoff between embedding…

Information Retrieval · Computer Science 2026-02-11 Vojtěch Vančura , Martin Spišák , Rodrigo Alves , Ladislav Peška

This paper describes a hierarchical learning strategy for generating sparse representations of multivariate datasets. The hierarchy arises from approximation spaces considered at successively finer scales. A detailed analysis of stability,…

Machine Learning · Statistics 2019-10-23 Prashant Shekhar , Abani Patra

We present the framework of slowly varying regression under sparsity, allowing sparse regression models to exhibit slow and sparse variations. The problem of parameter estimation is formulated as a mixed-integer optimization problem. We…

Machine Learning · Computer Science 2023-11-14 Dimitris Bertsimas , Vassilis Digalakis , Michael Linghzi Li , Omar Skali Lami

In this work, a feature extraction method for offline signature verification is presented that harnesses the power of sparse representation in order to deliver state-of-the-art verification performance in several signature datasets like…

Computer Vision and Pattern Recognition · Computer Science 2019-01-24 Elias N. Zois , Dimitrios Tsourounis , Ilias Theodorakopoulos , Anastasios Kesidis , George Economou

Many classification approaches first represent a test sample using the training samples of all the classes. This collaborative representation is then used to label the test sample. It was a common belief that sparseness of the…

Computer Vision and Pattern Recognition · Computer Science 2015-12-01 Naveed Akhtar , Faisal Shafait , Ajmal Mian

We present an algorithm that quickly finds falsifying inputs for hybrid systems, i.e., inputs that steer the system towards violation of a given temporal logic requirement. Our method is based on a probabilistically directed search of an…

Systems and Control · Computer Science 2018-12-12 Gidon Ernst , Sean Sedwards , Zhenya Zhang , Ichiro Hasuo

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

Turning the weights to zero when training a neural network helps in reducing the computational complexity at inference. To progressively increase the sparsity ratio in the network without causing sharp weight discontinuities during…

Computer Vision and Pattern Recognition · Computer Science 2023-01-25 Antoine Vanderschueren , Christophe De Vleeschouwer

Understanding how information is represented in neural networks is a fundamental challenge in both neuroscience and artificial intelligence. Despite their nonlinear architectures, recent evidence suggests that neural networks encode…

Machine Learning · Computer Science 2025-03-04 David Klindt , Charles O'Neill , Patrik Reizinger , Harald Maurer , Nina Miolane

The sheer increase in volume of RDF data demands efficient solutions for the triple indexing problem, that is devising a compressed data structure to compactly represent RDF triples by guaranteeing, at the same time, fast pattern matching…

Information Retrieval · Computer Science 2022-02-08 Raffaele Perego , Giulio Ermanno Pibiri , Rossano Venturini

This paper introduces STRASS: Summarization by TRAnsformation Selection and Scoring. It is an extractive text summarization method which leverages the semantic information in existing sentence embedding spaces. Our method creates an…

Computation and Language · Computer Science 2019-07-18 Léo Bouscarrat , Antoine Bonnefoy , Thomas Peel , Cécile Pereira

In recent years, dense retrieval has been the focus of information retrieval (IR) research. While effective, dense retrieval produces uninterpretable dense vectors, and suffers from the drawback of large index size. Learned sparse retrieval…

Information Retrieval · Computer Science 2025-11-10 Zhichao Xu , Aosong Feng , Yijun Tian , Haibo Ding , Lin Lee Cheong

Information processing techniques based on sparseness have been actively studied in several disciplines. Among them, a mathematical framework to approximately express a given dataset by a combination of a small number of basis vectors of an…

Information Theory · Computer Science 2016-05-04 Tomoyuki Obuchi , Yoshiyuki Kabashima

It is now well established that sparse signal models are well suited to restoration tasks and can effectively be learned from audio, image, and video data. Recent research has been aimed at learning discriminative sparse models instead of…

Computer Vision and Pattern Recognition · Computer Science 2009-09-29 Julien Mairal , Francis Bach , Jean Ponce , Guillermo Sapiro , Andrew Zisserman

Speculative decoding accelerates autoregressive language model inference by verifying multiple draft tokens in parallel. However, the verification stage often becomes the dominant computational bottleneck, especially for long-context inputs…

Computation and Language · Computer Science 2025-12-29 Jikai Wang , Jianchao Tan , Yuxuan Hu , Jiayu Qin , Yerui Sun , Yuchen Xie , Xunliang Cai , Juntao Li , Min Zhang

Hyperspectral imaging offers new perspectives for diverse applications, ranging from the monitoring of the environment using airborne or satellite remote sensing, precision farming, food safety, planetary exploration, or astrophysics.…

Image and Video Processing · Electrical Eng. & Systems 2021-11-19 Théo Bodrito , Alexandre Zouaoui , Jocelyn Chanussot , Julien Mairal

Inspired by the recently remarkable successes of Sparse Representation (SR), Collaborative Representation (CR) and sparse graph, we present a novel hypergraph model named Regression-based Hypergraph (RH) which utilizes the regression models…

Computer Vision and Pattern Recognition · Computer Science 2016-03-15 Sheng Huang , Dan Yang , Bo Liu , Xiaohong Zhang