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Sparsification of neural networks is one of the effective complexity reduction methods to improve efficiency and generalizability. We consider the problem of learning a one hidden layer convolutional neural network with ReLU activation…

最优化与控制 · 数学 2020-02-26 Thu Dinh , Jack Xin

Noisy training set usually leads to the degradation of generalization and robustness of neural networks. In this paper, we propose using a theoretically guaranteed noisy label detection framework to detect and remove noisy data for Learning…

机器学习 · 计算机科学 2022-03-22 Yikai Wang , Xinwei Sun , Yanwei Fu

Nonparametric methods are widely applicable to statistical inference problems, since they rely on a few modeling assumptions. In this context, the fresh look advocated here permeates benefits from variable selection and compressive…

机器学习 · 统计学 2015-03-19 Gonzalo Mateos , Georgios B. Giannakis

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…

计算机视觉与模式识别 · 计算机科学 2022-09-09 Katrina Evtimova , Yann LeCun

Adapting large pre-trained language models to downstream tasks often entails fine-tuning millions of parameters or deploying costly dense weight updates, which hinders their use in resource-constrained environments. Low-rank Adaptation…

机器学习 · 计算机科学 2026-01-29 Longteng Zhang , Sen Wu , Shuai Hou , Zhengyu Qing , Zhuo Zheng , Danning Ke , Qihong Lin , Qiang Wang , Shaohuai Shi , Xiaowen Chu

Large language models (LLMs) have shown impressive capabilities across various tasks. However, training LLMs from scratch requires significant computational power and extensive memory capacity. Recent studies have explored low-rank…

机器学习 · 计算机科学 2024-11-05 Andi Han , Jiaxiang Li , Wei Huang , Mingyi Hong , Akiko Takeda , Pratik Jawanpuria , Bamdev Mishra

Sparse regression and feature extraction are the cornerstones of knowledge discovery from massive data. Their goal is to discover interpretable and predictive models that provide simple relationships among scientific variables. While the…

机器学习 · 计算机科学 2024-01-17 Jeremy A. McCulloch , Skyler R. St. Pierre , Kevin Linka , Ellen Kuhl

Learning to optimize (L2O) is an emerging approach that leverages machine learning to develop optimization methods, aiming at reducing the laborious iterations of hand engineering. It automates the design of an optimization method based on…

最优化与控制 · 数学 2021-07-05 Tianlong Chen , Xiaohan Chen , Wuyang Chen , Howard Heaton , Jialin Liu , Zhangyang Wang , Wotao Yin

$L_1$ regularization is used for finding sparse solutions to an underdetermined linear system. As sparse signals are widely expected in remote sensing, this type of regularization scheme and its extensions have been widely employed in many…

图像与视频处理 · 电气工程与系统科学 2018-05-07 Yilei Shi , Xiao Xiang Zhu , Wotao Yin , Richard Bamler

The Bayesian Lasso is constructed in the linear regression framework and applies the Gibbs sampling to estimate the regression parameters. This paper develops a new sparse learning model, named the Bayesian Lasso Sparse (BLS) model, that…

机器学习 · 统计学 2022-07-15 Ingvild M. Helgøy , Yushu Li

An l0-regularized linear regression for a sparse signal reconstruction is implemented based on the quadratic unconstrained binary optimization (QUBO) formulation. In this method, the signal values are quantized and expressed as bit…

信息论 · 计算机科学 2022-03-01 Naoki Ide , Masayuki Ohzeki

Reward models (RMs) are a core component in the post-training of large language models (LLMs), serving as proxies for human preference evaluation and guiding model alignment. However, training reliable RMs under limited resources remains…

人工智能 · 计算机科学 2025-11-12 Dengcan Liu , Jiahao Li , Zheren Fu , Yi Tu , Jiajun Li , Zhendong Mao , Yongdong Zhang

Sparse representation-based classifiers have shown outstanding accuracy and robustness in image classification tasks even with the presence of intense noise and occlusion. However, it has been discovered that the performance degrades…

计算机视觉与模式识别 · 计算机科学 2015-12-22 Xiaoxia Sun , Nasser M. Nasrabadi , Trac D. Tran

We study sparsification of convolutional neural networks (CNN) by a relaxed variable splitting method of $\ell_0$ and transformed-$\ell_1$ (T$\ell_1$) penalties, with application to complex curves such as texts written in different fonts,…

机器学习 · 计算机科学 2019-02-21 Fanghui Xue , Jack Xin

This paper introduces JaxPruner, an open-source JAX-based pruning and sparse training library for machine learning research. JaxPruner aims to accelerate research on sparse neural networks by providing concise implementations of popular…

Sparse learning is a very important tool for mining useful information and patterns from high dimensional data. Non-convex non-smooth regularized learning problems play essential roles in sparse learning, and have drawn extensive attentions…

机器学习 · 计算机科学 2020-10-22 Guannan Liang , Qianqian Tong , Jiahao Ding , Miao Pan , Jinbo Bi

Symbolic regression (SR) aims to discover closed-form mathematical expressions that accurately describe data, offering interpretability and analytical insight beyond standard black-box models. Existing SR methods often rely on…

机器学习 · 计算机科学 2025-06-17 Mansooreh Montazerin , Majd Al Aawar , Antonio Ortega , Ajitesh Srivastava

Regularized regression problems are ubiquitous in statistical modeling, signal processing, and machine learning. Sparse regression in particular has been instrumental in scientific model discovery, including compressed sensing applications,…

机器学习 · 统计学 2018-11-09 Peng Zheng , Travis Askham , Steven L. Brunton , J. Nathan Kutz , Aleksandr Y. Aravkin

Large Language Models (LLMs) vary in their abilities on a range of tasks. Initiatives such as the Open LLM Leaderboard aim to quantify these differences with several large benchmarks (sets of test items to which an LLM can respond either…

计算与语言 · 计算机科学 2025-02-21 Alex Kipnis , Konstantinos Voudouris , Luca M. Schulze Buschoff , Eric Schulz

In order to improve the performance of Least Mean Square (LMS) based system identification of sparse systems, a new adaptive algorithm is proposed which utilizes the sparsity property of such systems. A general approximating approach on…

信息论 · 计算机科学 2015-06-15 Yuantao Gu , Jian Jin , Shunliang Mei