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Robust principal component analysis (RPCA) is a widely used technique for recovering low-rank structure from matrices with missing entries and sparse, possibly large-magnitude corruptions. Although numerous algorithms achieve accurate point…

统计方法学 · 统计学 2026-03-17 Liangliang Yuan , Lei Wang , Quan Kong , Liuhua Peng

Whisper models have achieved remarkable progress in speech recognition; yet their large size remains a bottleneck for deployment on resource-constrained edge devices. This paper proposes a framework to design fine-tuned variants of Whisper…

机器学习 · 计算机科学 2025-10-15 Prasenjit K Mudi , Anshi Sachan , Dahlia Devapriya , Sheetal Kalyani

In this paper we consider the problem of recovering a high dimensional data matrix from a set of incomplete and noisy linear measurements. We introduce a new model that can efficiently restrict the degrees of freedom of the problem and is…

信息论 · 计算机科学 2012-11-22 Mohammad Golbabaee , Pierre Vandergheynst

Pre-trained models have been a foundational approach in speech recognition, albeit with associated additional costs. In this study, we propose a regularization technique that facilitates the training of visual and audio-visual speech…

计算机视觉与模式识别 · 计算机科学 2024-06-26 Adriana Fernandez-Lopez , Honglie Chen , Pingchuan Ma , Lu Yin , Qiao Xiao , Stavros Petridis , Shiwei Liu , Maja Pantic

Shrinkage estimators that possess the ability to produce sparse solutions have become increasingly important to the analysis of today's complex datasets. Examples include the LASSO, the Elastic-Net and their adaptive counterparts.…

统计方法学 · 统计学 2017-02-09 Hongmei Liu , J. Sunil Rao

Feature selection is one of the most decisive tools in understanding data and machine learning models. Among other methods, sparsity induced by $L^{1}$ penalty is one of the simplest and best studied approaches to this problem. Although…

机器学习 · 计算机科学 2020-07-09 Andrii Trelin , Aleš Procházka

Large Language Models (LLMs) empowered with Tool-Integrated Reasoning (TIR) can iteratively plan, call external tools, and integrate returned information to solve complex, long-horizon reasoning tasks. Agentic Reinforcement Learning…

计算与语言 · 计算机科学 2026-01-21 Jianghao Su , Xia Zeng , Luhui Liu , Chao Luo , Ye Chen , Zhuoran Zhuang

A reciprocal LASSO (rLASSO) regularization employs a decreasing penalty function as opposed to conventional penalization approaches that use increasing penalties on the coefficients, leading to stronger parsimony and superior model…

统计方法学 · 统计学 2021-09-17 Himel Mallick , Rahim Alhamzawi , Erina Paul , Vladimir Svetnik

Deep Neural Networks have achieved remarkable success relying on the developing high computation capability of GPUs and large-scale datasets with increasing network depth and width in image recognition, object detection and many other…

机器学习 · 计算机科学 2020-01-08 E Zhenqian , Gao Weiguo

In this paper, we review state-of-the-art methods for feature selection in statistics with an application-oriented eye. Indeed, sparsity is a valuable property and the profusion of research on the topic might have provided little guidance…

统计方法学 · 统计学 2021-11-08 Dimitris Bertsimas , Jean Pauphilet , Bart Van Parys

We address the issue of estimating the regression vector $\beta$ in the generic $s$-sparse linear model $y = X\beta+z$, with $\beta\in\R^{p}$, $y\in\R^{n}$, $z\sim\mathcal N(0,\sg^2 I)$ and $p> n$ when the variance $\sg^{2}$ is unknown. We…

统计理论 · 数学 2012-11-06 Stéphane Chrétien , Sébastien Darses

Sparse regression methods have been proven effective in a wide range of signal processing problems such as image compression, speech coding, channel equalization, linear regression and classification. In this paper a new convex method of…

最优化与控制 · 数学 2018-03-07 Victor Stefan Aldea

Categorical predictors are omnipresent in everyday regression practice: in fact, most regression data involve some categorical predictors, and this tendency is increasing in modern applications with more complex structures and larger data…

统计方法学 · 统计学 2025-11-11 Chaegeun Song , Zhong Zheng , Bing Li , Lingzhou Xue

Reinforcement learning with verifiable rewards (RLVR) has proven effective in training large reasoning models (LRMs) by leveraging answer-verifiable signals to guide policy optimization, which, however, suffers from high annotation costs.…

Recovering a low-rank matrix from highly corrupted measurements arises in compressed sensing of structured high-dimensional signals (e.g., videos and hyperspectral images among others). Robust principal component analysis (RPCA), solved via…

最优化与控制 · 数学 2022-06-28 Vahan Hovhannisyan , Yannis Panagakis , Panos Parpas , Stefanos Zafeiriou

Feature selection has been proven a powerful preprocessing step for high-dimensional data analysis. However, most state-of-the-art methods tend to overlook the structural correlation information between pairwise samples, which may…

机器学习 · 计算机科学 2019-07-02 Lu Bai , Lixin Cui , Yue Wang , Philip S. Yu , Edwin R. Hancock

Inspired by several recent developments in regularization theory, optimization, and signal processing, we present and analyze a numerical approach to multi-penalty regularization in spaces of sparsely represented functions. The sparsity…

数值分析 · 数学 2014-11-25 Valeriya Naumova , Steffen Peter

Large reasoning models (LRMs) exhibit diverse high-level reasoning patterns (e.g., direct solution, reflection-and-verification, and exploring multiple solutions), yet prevailing training recipes implicitly bias models toward a limited set…

人工智能 · 计算机科学 2026-01-13 Hanbin Wang , Jingwei Song , Jinpeng Li , Fei Mi , Lifeng Shang

Much work has been done recently to make neural networks more interpretable, and one obvious approach is to arrange for the network to use only a subset of the available features. In linear models, Lasso (or $\ell_1$-regularized) regression…

机器学习 · 统计学 2021-06-17 Ismael Lemhadri , Feng Ruan , Louis Abraham , Robert Tibshirani

In genomic analysis, biomarker discovery, image recognition, and other systems involving machine learning, input variables can often be organized into different groups by their source or semantic category. Eliminating some groups of…