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Performing signal processing tasks on compressive measurements of data has received great attention in recent years. In this paper, we extend previous work on compressive dictionary learning by showing that more general random projections…

Machine Learning · Statistics 2015-04-07 Farhad Pourkamali-Anaraki , Stephen Becker , Shannon M. Hughes

Deep neural networks perform remarkably well on image classification tasks but remain vulnerable to carefully crafted adversarial perturbations. This work revisits linear dimensionality reduction as a simple, data-adapted defense. We…

Machine Learning · Computer Science 2025-10-08 Killian Steunou , Théo Druilhe , Sigurd Saue

A new algorithm is proposed for a) unsupervised learning of sparse representations from subsampled measurements and b) estimating the parameters required for linearly reconstructing signals from the sparse codes. We verify that the new…

Neurons and Cognition · Quantitative Biology 2010-11-02 Guy Isely , Christopher J. Hillar , Friedrich T. Sommer

As AI models achieve remarkable capabilities across diverse domains, understanding what representations they learn and how they encode concepts has become increasingly important for both scientific progress and trustworthy deployment.…

Machine Learning · Computer Science 2026-05-05 Yiming Tang , Harshvardhan Saini , Zhaoqian Yao , Zheng Lin , Yizhen Liao , Jingyi Cui , Yisen Wang , Mengnan Du , Dianbo Liu

Sparse neural networks attract increasing interest as they exhibit comparable performance to their dense counterparts while being computationally efficient. Pruning the dense neural networks is among the most widely used methods to obtain a…

Neural and Evolutionary Computing · Computer Science 2022-11-11 Zahra Atashgahi , Joost Pieterse , Shiwei Liu , Decebal Constantin Mocanu , Raymond Veldhuis , Mykola Pechenizkiy

Quantum computing allows for the potential of significant advancements in both the speed and the capacity of widely used machine learning techniques. Here we employ quantum algorithms for the Hopfield network, which can be used for pattern…

Quantum Physics · Physics 2018-10-10 Patrick Rebentrost , Thomas R. Bromley , Christian Weedbrook , Seth Lloyd

Dense Associative Memory (DAM) generalizes Hopfield networks through higher-order interactions and achieves storage capacity that scales as $O(N^{n-1})$ under suitable pattern separation conditions. Existing dynamical analyses primarily…

Machine Learning · Computer Science 2026-04-15 Madhava Gaikwad

Kernel interpolation, especially in the context of Gaussian process emulation, is a widely used technique in surrogate modelling, where the goal is to cheaply approximate an input-output map using a limited number of function evaluations.…

Numerical Analysis · Mathematics 2025-11-13 Elliot J. Addy , Jonas Latz , Aretha L. Teckentrup

Deep Neural Networks (DNNs) have shown significant advantages in a wide variety of domains. However, DNNs are becoming computationally intensive and energy hungry at an exponential pace, while at the same time, there is a vast demand for…

The iterations of many sparse estimation algorithms are comprised of a fixed linear filter cascaded with a thresholding nonlinearity, which collectively resemble a typical neural network layer. Consequently, a lengthy sequence of algorithm…

Machine Learning · Computer Science 2016-05-11 Bo Xin , Yizhou Wang , Wen Gao , David Wipf

We propose a low-rank transformation-learning framework to robustify subspace clustering. Many high-dimensional data, such as face images and motion sequences, lie in a union of low-dimensional subspaces. The subspace clustering problem has…

Computer Vision and Pattern Recognition · Computer Science 2013-08-02 Qiang Qiu , Guillermo Sapiro

We investigate the robustness of sparse artificial neural networks trained with adaptive topology. We focus on a simple yet effective architecture consisting of three sparse layers with 99% sparsity followed by a dense layer, applied to…

Machine Learning · Computer Science 2026-02-26 Bendegúz Sulyok , Gergely Palla , Filippo Radicchi , Santo Fortunato

Large language models (LLMs) excel at language understanding and generation, but their enormous computational and memory requirements hinder deployment. Compression offers a potential solution to mitigate these constraints. However, most…

Machine Learning · Computer Science 2026-05-19 Huanrong Liu , Chunlin Tian , Xuyang Wei , Qingbiao Li , Li Li

In this work, a deep learning-based method for log-likelihood ratio (LLR) lossy compression and quantization is proposed, with emphasis on a single-input single-output uncorrelated fading communication setting. A deep autoencoder network is…

Machine Learning · Computer Science 2021-05-11 Marius Arvinte , Ahmed H. Tewfik , Sriram Vishwanath

Neural networks have proven to be extremely powerful tools for modern artificial intelligence applications, but computational and storage complexity remain limiting factors. This paper presents two compatible contributions towards reducing…

Machine Learning · Computer Science 2024-10-30 Sourya Dey , Kuan-Wen Huang , Peter A. Beerel , Keith M. Chugg

Large Language Models (LLMs) exhibit significant activation sparsity, where only a subset of neurons are active for a given input. Although this sparsity presents opportunities to reduce computational cost, efficiently utilizing it requires…

Machine Learning · Computer Science 2025-07-22 Nobel Dhar , Bobin Deng , Md Romyull Islam , Xinyue Zhang , Kazi Fahim Ahmad Nasif , Kun Suo

We theoretically investigate the convergence rate and support consistency (i.e., correctly identifying the subset of non-zero coefficients in the large sample limit) of multiple kernel learning (MKL). We focus on MKL with block-l1…

Machine Learning · Statistics 2011-07-29 Taiji Suzuki , Ryota Tomioka , Masashi Sugiyama

While CNNs naturally lend themselves to densely sampled data, and sophisticated implementations are available, they lack the ability to efficiently process sparse data. In this work we introduce a suite of tools that exploit sparsity in…

Computer Vision and Pattern Recognition · Computer Science 2020-03-13 Timo Hackel , Mikhail Usvyatsov , Silvano Galliani , Jan D. Wegner , Konrad Schindler

Although extreme learning machine (ELM) has been successfully applied to a number of pattern recognition problems, it fails to pro-vide sufficient good results in hyperspectral image (HSI) classification due to two main drawbacks. The first…

Computer Vision and Pattern Recognition · Computer Science 2018-05-15 Faxian Cao , Zhijing Yang , Jinchang Ren , Wing-Kuen Ling

Deep neural networks can be trained in reciprocal space, by acting on the eigenvalues and eigenvectors of suitable transfer operators in direct space. Adjusting the eigenvalues, while freezing the eigenvectors, yields a substantial…

Machine Learning · Computer Science 2021-12-08 Lorenzo Chicchi , Lorenzo Giambagli , Lorenzo Buffoni , Timoteo Carletti , Marco Ciavarella , Duccio Fanelli