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Compressed Sensing aims to capture attributes of a sparse signal using very few measurements. Cand\`{e}s and Tao showed that sparse reconstruction is possible if the sensing matrix acts as a near isometry on all $\boldsymbol{k}$-sparse…

Information Theory · Computer Science 2009-10-18 Robert Calderbank , Stephen Howard , Sina Jafarpour

Magnitude pruning is a common, effective technique to identify sparse subnetworks at little cost to accuracy. In this work, we ask whether a particular architecture's accuracy-sparsity tradeoff can be improved by combining pruning…

Computer Vision and Pattern Recognition · Computer Science 2021-05-03 Rajiv Movva , Jonathan Frankle , Michael Carbin

The Lottery Ticket Hypothesis (LTH) posits the existence of a sparse subnetwork (a.k.a. winning ticket) that can generalize comparably to its over-parameterized counterpart when trained from scratch. The common approach to finding a winning…

Machine Learning · Computer Science 2025-04-09 Junghun Oh , Sungyong Baik , Kyoung Mu Lee

The Lottery Ticket Hypothesis (LTH) posits that within overparametrized neural networks, there exist sparse subnetworks that are capable of matching the performance of the original model when trained in isolation from the original…

Quantum Physics · Physics 2026-01-29 Brandon Barton , Juan Carrasquilla , Christopher Roth , Agnes Valenti

As a typical dimensionality reduction technique, random projection can be simply implemented with linear projection, while maintaining the pairwise distances of high-dimensional data with high probability. Considering this technique is…

Machine Learning · Computer Science 2014-10-14 Weizhi Lu , Weiyu Li , Kidiyo Kpalma , Joseph Ronsin

As datasets grow larger, they are often distributed across multiple machines that compute in parallel and communicate with a central machine through short messages. In this paper, we focus on sparse regression and propose a new procedure…

Methodology · Statistics 2023-03-14 Sifan Liu , Snigdha Panigrahi

Although the sparse multinomial logistic regression (SMLR) has provided a useful tool for sparse classification, it suffers from inefficacy in dealing with high dimensional features and manually set initial regressor values. This has…

Computer Vision and Pattern Recognition · Computer Science 2017-12-05 Faxian Cao , Zhijing Yang , Jinchang Ren , Wing-Kuen Ling

State-space language models such as Mamba match Transformer quality while permitting linear complexity inference, yet still comprise billions of parameters that hinder deployment. Existing one-shot pruning methods are tailored to attention…

Machine Learning · Computer Science 2025-06-12 Kaiwen Tuo , Huan Wang

We introduce a pruning algorithm that provably sparsifies the parameters of a trained model in a way that approximately preserves the model's predictive accuracy. Our algorithm uses a small batch of input points to construct a data-informed…

Machine Learning · Computer Science 2021-03-16 Cenk Baykal , Lucas Liebenwein , Igor Gilitschenski , Dan Feldman , Daniela Rus

Model compression by way of parameter pruning, quantization, or distillation has recently gained popularity as an approach for reducing the computational requirements of modern deep neural network models for NLP. Inspired by prior works…

Computation and Language · Computer Science 2023-10-10 Clara Na , Sanket Vaibhav Mehta , Emma Strubell

The majority of machine learning methods and algorithms give high priority to prediction performance which may not always correspond to the priority of the users. In many cases, practitioners and researchers in different fields, going from…

Cutting planes are crucial for the performance of branch-and-cut algorithms for solving mixed-integer programming (MIP) problems, and linear row aggregation has been successfully applied to better leverage the potential of several major…

Optimization and Control · Mathematics 2025-02-05 Liding Xu , Gioni Mexi , Ksenia Bestuzheva

Brain-inspired Spiking neural networks (SNNs) promise energy-efficient intelligence via event-driven, sparse computation, but deeper architectures inflate parameters and computational cost, hindering their edge deployment. Recent progress…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Shuhan Ye , Yi Yu , Qixin Zhang , Chenqi Kong , Qiangqiang Wu , Xudong Jiang , Dacheng Tao

In recent years, deep network pruning has attracted significant attention in order to enable the rapid deployment of AI into small devices with computation and memory constraints. Pruning is often achieved by dropping redundant weights,…

Machine Learning · Computer Science 2023-08-24 Enmao Diao , Ganghua Wang , Jiawei Zhan , Yuhong Yang , Jie Ding , Vahid Tarokh

With the introduction of SNIP [arXiv:1810.02340v2], it has been demonstrated that modern neural networks can effectively be pruned before training. Yet, its sensitivity criterion has since been criticized for not propagating training signal…

Machine Learning · Computer Science 2020-06-16 Stijn Verdenius , Maarten Stol , Patrick Forré

For the problem of multi-class linear classification and feature selection, we propose approximate message passing approaches to sparse multinomial logistic regression (MLR). First, we propose two algorithms based on the Hybrid Generalized…

Information Theory · Computer Science 2016-09-21 Evan Byrne , Philip Schniter

We introduce a mixed integer program (MIP) for assigning importance scores to each neuron in deep neural network architectures which is guided by the impact of their simultaneous pruning on the main learning task of the network. By…

Machine Learning · Computer Science 2023-07-26 Mostafa ElAraby , Guy Wolf , Margarida Carvalho

Recent advances in artificial intelligence have relied heavily on increasingly large neural networks, raising concerns about their computational and environmental costs. This paper investigates whether simpler, sparser networks can maintain…

Machine Learning · Computer Science 2025-11-04 C. Díaz-Faloh , R. Mulet

The Multi-Prize Lottery Ticket Hypothesis posits that randomly initialized neural networks contain several subnetworks that achieve comparable accuracy to fully trained models of the same architecture. However, current methods require that…

Machine Learning · Computer Science 2023-03-29 Matt Gorbett , Darrell Whitley

Recent works on Lottery Ticket Hypothesis have shown that pre-trained language models (PLMs) contain smaller matching subnetworks(winning tickets) which are capable of reaching accuracy comparable to the original models. However, these…

Computation and Language · Computer Science 2022-11-15 Rui Zheng , Rong Bao , Yuhao Zhou , Di Liang , Sirui Wang , Wei Wu , Tao Gui , Qi Zhang , Xuanjing Huang
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