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Artificial neural networks (ANNs) are powerful machine learning methods used in many modern applications such as facial recognition, machine translation, and cancer diagnostics. A common issue with ANNs is that they usually have millions or…

Machine Learning · Statistics 2023-05-08 Lars Skaaret-Lund , Geir Storvik , Aliaksandr Hubin

Sparse estimation methods are aimed at using or obtaining parsimonious representations of data or models. They were first dedicated to linear variable selection but numerous extensions have now emerged such as structured sparsity or kernel…

Machine Learning · Computer Science 2011-11-24 Francis Bach , Rodolphe Jenatton , Julien Mairal , Guillaume Obozinski

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

We consider a class of sparse learning problems in high dimensional feature space regularized by a structured sparsity-inducing norm which incorporates prior knowledge of the group structure of the features. Such problems often pose a…

Optimization and Control · Mathematics 2014-02-11 Zhiwei Qin , Donald Goldfarb

Determining the most appropriate features for machine learning predictive models is challenging regarding performance and feature acquisition costs. In particular, global feature choice is limited given that some features will only benefit…

Machine Learning · Computer Science 2026-03-17 Gabriel Bernardino , Anders Jonsson , Patrick Clarysse , Nicolas Duchateau

Neural network pruning is a widely used strategy for reducing model storage and computing requirements. It allows to lower the complexity of the network by introducing sparsity in the weights. Because taking advantage of sparse matrices is…

Computer Vision and Pattern Recognition · Computer Science 2022-03-14 Nathan Hubens , Matei Mancas , Bernard Gosselin , Marius Preda , Titus Zaharia

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

Overfitting is one of the most common problems when training deep neural networks on comparatively small datasets. Here, we demonstrate that neural network activation sparsity is a reliable indicator for overfitting which we utilize to…

Machine Learning · Computer Science 2020-02-24 Karim Huesmann , Soeren Klemm , Lars Linsen , Benjamin Risse

Model selection and sparse recovery are two important problems for which many regularization methods have been proposed. We study the properties of regularization methods in both problems under the unified framework of regularized least…

Statistics Theory · Mathematics 2009-09-03 Jinchi Lv , Yingying Fan

Low bit-width weights and activations are an effective way of combating the increasing need for both memory and compute power of Deep Neural Networks. In this work, we present a probabilistic training method for Neural Network with both…

Machine Learning · Computer Science 2018-09-11 Jorn W. T. Peters , Max Welling

Artificial neural networks (ANNs) especially deep convolutional networks are very popular these days and have been proved to successfully offer quite reliable solutions to many vision problems. However, the use of deep neural networks is…

Machine Learning · Computer Science 2020-07-28 Yangzi Guo , Yiyuan She , Adrian Barbu

The representational capacity of modern neural network architectures has made them a default choice in various applications with high dimensional feature sets. But these high dimensional and potentially noisy features combined with the…

Machine Learning · Computer Science 2020-10-13 Vinay Varma K

Stochasticity and limited precision of synaptic weights in neural network models are key aspects of both biological and hardware modeling of learning processes. Here we show that a neural network model with stochastic binary weights…

Disordered Systems and Neural Networks · Physics 2018-07-04 Carlo Baldassi , Federica Gerace , Hilbert J. Kappen , Carlo Lucibello , Luca Saglietti , Enzo Tartaglione , Riccardo Zecchina

Pruning the weights of neural networks is an effective and widely-used technique for reducing model size and inference complexity. We develop and test a novel method based on compressed sensing which combines the pruning and training into a…

Computer Vision and Pattern Recognition · Computer Science 2021-04-08 Jonathan W. Siegel , Jianhong Chen , Pengchuan Zhang , Jinchao Xu

We study a regularization framework that combines a convex fidelity term with multiple $\ell_1$-based regularizers, each linked to a distinct linear transform. This multi-penalty model enhances flexibility in promoting structured sparsity.…

Numerical Analysis · Mathematics 2026-02-02 Qianru Liu , Rui Wang , Yuesheng Xu

Sparse logistic regression is for classification and feature selection simultaneously. Although many studies have been done to solve $\ell_1$-regularized logistic regression, there is no equivalently abundant work on solving sparse logistic…

Machine Learning · Computer Science 2023-10-13 Mengyuan Zhang , Kai Liu

We study the problem of selecting limited features to observe such that models trained on them can perform well simultaneously across multiple subpopulations. This problem has applications in settings where collecting each feature is…

Machine Learning · Computer Science 2025-10-27 Maitreyi Swaroop , Tamar Krishnamurti , Bryan Wilder

Feature selection that selects an informative subset of variables from data not only enhances the model interpretability and performance but also alleviates the resource demands. Recently, there has been growing attention on feature…

Neural and Evolutionary Computing · Computer Science 2023-03-15 Zahra Atashgahi , Xuhao Zhang , Neil Kichler , Shiwei Liu , Lu Yin , Mykola Pechenizkiy , Raymond Veldhuis , Decebal Constantin Mocanu

We consider supervised learning problems where the features are embedded in a graph, such as gene expressions in a gene network. In this context, it is of much interest to automatically select a subgraph with few connected components; by…

Machine Learning · Statistics 2013-09-20 Julien Mairal , Bin Yu

Feature selection is an important data preprocessing in data mining and machine learning which can be used to reduce the feature dimension without deteriorating model's performance. Since obtaining annotated data is laborious or even…

Machine Learning · Computer Science 2022-04-08 Zhenzhen Sun , Yuanlong Yu