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This article proposes diffusion LMS strategies for distributed estimation over adaptive networks that are able to exploit sparsity in the underlying system model. The approach relies on convex regularization, common in compressive sensing,…

Machine Learning · Computer Science 2015-06-05 Paolo Di Lorenzo , Ali H. Sayed

Vision transformers have revolutionized computer vision, but their computational demands present challenges for training and deployment. This paper introduces LOTUS (LOttery Transformers with Ultra Sparsity), a novel method that leverages…

Computer Vision and Pattern Recognition · Computer Science 2024-05-03 Ojasw Upadhyay

Random pruning is arguably the most naive way to attain sparsity in neural networks, but has been deemed uncompetitive by either post-training pruning or sparse training. In this paper, we focus on sparse training and highlight a perhaps…

Machine Learning · Computer Science 2022-02-08 Shiwei Liu , Tianlong Chen , Xiaohan Chen , Li Shen , Decebal Constantin Mocanu , Zhangyang Wang , Mykola Pechenizkiy

Deep Neural Networks (DNNs) are known to be vulnerable to adversarial attacks, i.e., an imperceptible perturbation to the input can mislead DNNs trained on clean images into making erroneous predictions. To tackle this, adversarial training…

Machine Learning · Computer Science 2025-01-07 Yonggan Fu , Qixuan Yu , Yang Zhang , Shang Wu , Xu Ouyang , David Cox , Yingyan Celine Lin

The hypothesis that sub-network initializations (lottery) exist within the initializations of over-parameterized networks, which when trained in isolation produce highly generalizable models, has led to crucial insights into network…

Machine Learning · Statistics 2020-10-01 Bindya Venkatesh , Jayaraman J. Thiagarajan , Kowshik Thopalli , Prasanna Sattigeri

Masking tokens uniformly at random constitutes a common flaw in the pretraining of Masked Language Models (MLMs) such as BERT. We show that such uniform masking allows an MLM to minimize its training objective by latching onto shallow local…

Machine Learning · Computer Science 2020-10-06 Yoav Levine , Barak Lenz , Opher Lieber , Omri Abend , Kevin Leyton-Brown , Moshe Tennenholtz , Yoav Shoham

Training large, deep neural networks to convergence can be prohibitively expensive. As a result, often only a small selection of popular, dense models are reused across different contexts and tasks. Increasingly, sparsely activated models,…

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

The lottery ticket hypothesis (LTH) reveals the existence of winning tickets (sparse but critical subnetworks) for dense networks, that can be trained in isolation from random initialization to match the latter's accuracies. However,…

Machine Learning · Computer Science 2021-06-08 Zhenyu Zhang , Xuxi Chen , Tianlong Chen , Zhangyang Wang

Several challenges make it difficult for sparse neural networks to compete with dense models. First, setting a large fraction of weights to zero impairs forward and gradient signal propagation. Second, sparse studies often need to test…

Machine Learning · Computer Science 2026-02-04 Nolan Dey , Shane Bergsma , Joel Hestness

An inverse elastic source problem with sparse measurements is of concern. A generic mathematical framework is proposed which incorporates a low- dimensional manifold regularization in the conventional source reconstruction algorithms…

Optimization and Control · Mathematics 2018-05-29 Jaejun Yoo , Abdul Wahab , Jong Chul Ye

Masked language modeling (MLM), a self-supervised pretraining objective, is widely used in natural language processing for learning text representations. MLM trains a model to predict a random sample of input tokens that have been replaced…

Computation and Language · Computer Science 2021-09-07 Atsuki Yamaguchi , George Chrysostomou , Katerina Margatina , Nikolaos Aletras

Masked Language Modeling (MLM) is widely used to pretrain language models. The standard random masking strategy in MLM causes the pre-trained language models (PLMs) to be biased toward high-frequency tokens. Representation learning of rare…

Computation and Language · Computer Science 2023-05-25 Linhan Zhang , Qian Chen , Wen Wang , Chong Deng , Xin Cao , Kongzhang Hao , Yuxin Jiang , Wei Wang

In this thesis we discuss machine learning methods performing automated variable selection for learning sparse predictive models. There are multiple reasons for promoting sparsity in the predictive models. By relying on a limited set of…

Machine Learning · Computer Science 2019-03-27 Magda Gregorova

Obtaining versions of deep neural networks that are both highly-accurate and highly-sparse is one of the main challenges in the area of model compression, and several high-performance pruning techniques have been investigated by the…

Machine Learning · Computer Science 2023-09-11 Denis Kuznedelev , Eldar Kurtic , Eugenia Iofinova , Elias Frantar , Alexandra Peste , Dan Alistarh

When training large-scale models, the performance typically scales with the number of parameters and the dataset size according to a slow power law. A fundamental theoretical and practical question is whether comparable performance can be…

Machine Learning · Statistics 2026-03-03 Hong-Yi Wang , Di Luo , Tomaso Poggio , Isaac L. Chuang , Liu Ziyin

Sparse neural networks are highly desirable in deep learning in reducing its complexity. The goal of this paper is to study how choices of regularization parameters influence the sparsity level of learned neural networks. We first derive…

Machine Learning · Computer Science 2024-08-07 Lixin Shen , Rui Wang , Yuesheng Xu , Mingsong Yan

In second-order optimization, a potential bottleneck can be computing the Hessian matrix of the optimized function at every iteration. Randomized sketching has emerged as a powerful technique for constructing estimates of the Hessian which…

Optimization and Control · Mathematics 2021-07-16 Michał Dereziński , Jonathan Lacotte , Mert Pilanci , Michael W. Mahoney

Neural scaling laws (NSL) refer to the phenomenon where model performance improves with scale. Sharma & Kaplan analyzed NSL using approximation theory and predict that MSE losses decay as $N^{-\alpha}$, $\alpha=4/d$, where $N$ is the number…

Machine Learning · Computer Science 2024-02-05 Ziming Liu , Max Tegmark

The lottery ticket hypothesis (LTH) claims that a deep neural network (i.e., ground network) contains a number of subnetworks (i.e., winning tickets), each of which exhibiting identically accurate inference capability as that of the ground…

Machine Learning · Computer Science 2021-04-27 Sejin Seo , Seung-Woo Ko , Jihong Park , Seong-Lyun Kim , Mehdi Bennis