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Sparse coding in learned dictionaries has been established as a successful approach for signal denoising, source separation and solving inverse problems in general. A dictionary learning method adapts an initial dictionary to a particular…

Machine Learning · Statistics 2012-10-18 Christian D. Sigg , Tomas Dikk , Joachim M. Buhmann

A variety of representation learning approaches have been investigated for reinforcement learning; much less attention, however, has been given to investigating the utility of sparse coding. Outside of reinforcement learning, sparse coding…

Artificial Intelligence · Computer Science 2017-07-27 Lei Le , Raksha Kumaraswamy , Martha White

Inspired by the robustness and efficiency of sparse representation in sparse coding based image restoration models, we investigate the sparsity of neurons in deep networks. Our method structurally enforces sparsity constraints upon hidden…

Computer Vision and Pattern Recognition · Computer Science 2020-06-09 Yuchen Fan , Jiahui Yu , Yiqun Mei , Yulun Zhang , Yun Fu , Ding Liu , Thomas S. Huang

Efficient continual learning in humans is enabled by a rich set of neurophysiological mechanisms and interactions between multiple memory systems. The brain efficiently encodes information in non-overlapping sparse codes, which facilitates…

Neural and Evolutionary Computing · Computer Science 2023-01-13 Fahad Sarfraz , Elahe Arani , Bahram Zonooz

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

Inspired by recent work on convex formulations of clustering (Lashkari & Golland, 2008; Nowozin & Bakir, 2008) we investigate a new formulation of the Sparse Coding Problem (Olshausen & Field, 1997). In sparse coding we attempt to…

Machine Learning · Computer Science 2012-05-14 David M. Bradley , J Andrew Bagnell

Spike sorting is a crucial step in decoding multichannel extracellular neural signals, enabling the identification of individual neuronal activity. A key challenge in brain-machine interfaces (BMIs) is achieving real-time, low-power spike…

Neural and Evolutionary Computing · Computer Science 2025-07-01 Alexis Melot , Sean U. N. Wood , Yannick Coffinier , Pierre Yger , Fabien Alibart

In high-dimensional settings, sparse structures are critical for efficiency in term of memory and computation complexity. For a linear system, to find the sparsest solution provided with an over-complete dictionary of features directly is…

Machine Learning · Statistics 2020-07-09 Yiping Jiang , Tianshi Chen

The celebrated sparse representation model has led to remarkable results in various signal processing tasks in the last decade. However, despite its initial purpose of serving as a global prior for entire signals, it has been commonly used…

Information Theory · Computer Science 2017-10-11 Vardan Papyan , Jeremias Sulam , Michael Elad

Sparse representations of images are useful in many computer vision applications. Sparse coding with an $l_1$ penalty and a learned linear dictionary requires regularization of the dictionary to prevent a collapse in the $l_1$ norms of the…

Computer Vision and Pattern Recognition · Computer Science 2022-09-09 Katrina Evtimova , Yann LeCun

Natural stimuli are highly redundant, possessing significant spatial and temporal correlations. While sparse coding has been proposed as an efficient strategy employed by neural systems to encode sensory stimuli, the underlying mechanisms…

Neurons and Cognition · Quantitative Biology 2012-10-16 Tao Hu , Dmitri B. Chklovskii

Coded recurrent neural networks with three levels of sparsity are introduced. The first level is related to the size of messages, much smaller than the number of available neurons. The second one is provided by a particular coding rule,…

Machine Learning · Computer Science 2011-02-22 Vincent Gripon , Claude Berrou

In this paper, we propose a novel sparse coding and counting method under Bayesian framwork for visual tracking. In contrast to existing methods, the proposed method employs the combination of L0 and L1 norm to regularize the linear…

Computer Vision and Pattern Recognition · Computer Science 2017-02-08 Risheng Liu , Jing Wang , Yiyang Wang , Zhixun Su , Yu Cai

Compressive sensing has been successfully used for optimized operations in wireless sensor networks. However, raw data collected by sensors may be neither originally sparse nor easily transformed into a sparse data representation. This…

Networking and Internet Architecture · Computer Science 2016-08-16 Mohammad Abu Alsheikh , Shaowei Lin , Hwee-Pink Tan , Dusit Niyato

Given a sample covariance matrix, we examine the problem of maximizing the variance explained by a linear combination of the input variables while constraining the number of nonzero coefficients in this combination. This is known as sparse…

Artificial Intelligence · Computer Science 2011-11-10 Alexandre d'Aspremont , Francis Bach , Laurent El Ghaoui

This paper introduces a novel approach for recovering sparse signals using sorted L1/L2 minimization. The proposed method assigns higher weights to indices with smaller absolute values and lower weights to larger values, effectively…

Numerical Analysis · Mathematics 2023-08-09 Chao Wang , Ming Yan , Junjie Yu

We explore algorithms and limitations for sparse optimization problems such as sparse linear regression and robust linear regression. The goal of the sparse linear regression problem is to identify a small number of key features, while the…

Machine Learning · Computer Science 2022-06-30 Eric Price , Sandeep Silwal , Samson Zhou

Sparse activation, which selectively activates only an input-dependent set of neurons in inference, is a useful technique to reduce the computing cost of Large Language Models (LLMs) without retraining or adaptation efforts. However,…

Computation and Language · Computer Science 2024-06-12 Jifeng Song , Kai Huang , Xiangyu Yin , Boyuan Yang , Wei Gao

This article aims to provide a comprehensive overview of sparse optimization, with a focus on both sparse signal recovery and sparse regularization techniques. We will begin by exploring the foundations of sparse optimization, delving into…

History and Overview · Mathematics 2026-01-13 Jun Lu

Achieving fast and reliable temporal signal encoding is crucial for low-power, always-on systems. While current spike-based encoding algorithms rely on complex networks or precise timing references, simple and robust encoding models can be…

Neural and Evolutionary Computing · Computer Science 2025-04-23 Filippo Costa , Chiara De Luca