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Linear mixed models (LMMs), which incorporate fixed and random effects, are key tools for analyzing heterogeneous data, such as in personalized medicine. Nowadays, this type of data is increasingly wide, sometimes containing thousands of…

Machine Learning · Statistics 2026-05-15 Ryan Thompson , Matt P. Wand , Joanna J. J. Wang

In this paper, we develop a randomized algorithm and theory for learning a sparse model from large-scale and high-dimensional data, which is usually formulated as an empirical risk minimization problem with a sparsity-inducing regularizer.…

Machine Learning · Computer Science 2016-10-18 Lijun Zhang , Tianbao Yang , Rong Jin , Zhi-Hua Zhou

The problem of computing minimally sparse solutions of under-determined linear systems is $NP$ hard in general. Subsets with extra properties, may allow efficient algorithms, most notably problems with the restricted isometry property (RIP)…

Machine Learning · Computer Science 2023-02-07 G. Welper

We conducted an extensive computational experiment, lasting multiple CPU-years, to optimally select parameters for two important classes of algorithms for finding sparse solutions of underdetermined systems of linear equations. We make the…

Numerical Analysis · Computer Science 2015-05-14 Arian Maleki , David L. Donoho

A noisy training set usually leads to the degradation of the generalization and robustness of neural networks. In this paper, we propose a novel theoretically guaranteed clean sample selection framework for learning with noisy labels.…

Machine Learning · Computer Science 2023-11-30 Yikai Wang , Yanwei Fu , Xinwei Sun

We propose SPARC, a lightweight continual learning framework for large language models (LLMs) that enables efficient task adaptation through prompt tuning in a lower-dimensional space. By leveraging principal component analysis (PCA), we…

Machine Learning · Computer Science 2025-02-06 Dinithi Jayasuriya , Sina Tayebati , Davide Ettori , Ranganath Krishnan , Amit Ranjan Trivedi

This paper presents an algorithm for efficient training of sparse linear models with elastic net regularization. Extending previous work on delayed updates, the new algorithm applies stochastic gradient updates to non-zero features only,…

Machine Learning · Computer Science 2015-07-06 Zachary C. Lipton , Charles Elkan

We propose a software framework based on the ideas of the Learning-Compression (LC) algorithm, that allows a user to compress a neural network or other machine learning model using different compression schemes with minimal effort.…

Machine Learning · Computer Science 2020-05-19 Yerlan Idelbayev , Miguel Á. Carreira-Perpiñán

LASSO regularized logistic regression is particularly useful for its built-in feature selection, allowing coefficients to be removed from deployment and producing sparse solutions. Differentially private versions of LASSO logistic…

Machine Learning · Computer Science 2023-05-02 Amol Khanna , Fred Lu , Edward Raff , Brian Testa

In high-dimensional statistics, variable selection recovers the latent sparse patterns from all possible covariate combinations. This paper proposes a novel optimization method to solve the exact L0-regularized regression problem, which is…

Methodology · Statistics 2022-06-02 Mingzhang Yin , Nhat Ho , Bowei Yan , Xiaoning Qian , Mingyuan Zhou

The two primary approaches for high-dimensional regression problems are sparse methods (e.g., best subset selection, which uses the L0-norm in the penalty) and ensemble methods (e.g., random forests). Although sparse methods typically yield…

Methodology · Statistics 2024-10-31 Anthony-Alexander Christidis , Stefan Van Aelst , Ruben Zamar

The growing environmental footprint of artificial intelligence (AI), especially in terms of storage and computation, calls for more frugal and interpretable models. Sparse models (e.g., linear, neural networks) offer a promising solution by…

Machine Learning · Statistics 2025-09-23 Sylvain Sardy , Maxime van Cutsem , Xiaoyu Ma

We formulate the sparse classification problem of $n$ samples with $p$ features as a binary convex optimization problem and propose a cutting-plane algorithm to solve it exactly. For sparse logistic regression and sparse SVM, our algorithm…

Optimization and Control · Mathematics 2025-01-08 Dimitris Bertsimas , Jean Pauphilet , Bart Van Parys

Compressed Sensing using $\ell_1$ regularization is among the most powerful and popular sparsification technique in many applications, but why has it not been used to obtain sparse deep learning model such as convolutional neural network…

Machine Learning · Computer Science 2021-10-06 Juncai He , Xiaodong Jia , Jinchao Xu , Lian Zhang , Liang Zhao

We present GURLS, a least squares, modular, easy-to-extend software library for efficient supervised learning. GURLS is targeted to machine learning practitioners, as well as non-specialists. It offers a number state-of-the-art training…

Machine Learning · Computer Science 2013-03-06 Andrea Tacchetti , Pavan K Mallapragada , Matteo Santoro , Lorenzo Rosasco

Learning sparse models from data is an important task in all those frameworks where relevant information should be identified within a large dataset. This can be achieved by formulating and solving suitable sparsity promoting optimization…

Optimization and Control · Mathematics 2025-02-18 V. Cerone , S. M. Fosson , D. Regruto , A. Salam

While large language models (LLMs) have achieved remarkable performance across a wide range of tasks, their massive scale incurs prohibitive computational and memory costs for pre-training from scratch. Recent studies have investigated the…

Machine Learning · Computer Science 2025-08-05 Jiaxi Li , Lu Yin , Li Shen , Jinjin Xu , Liwu Xu , Tianjin Huang , Wenwu Wang , Shiwei Liu , Xilu Wang

Modern text classification methods heavily rely on contextual embeddings from large language models (LLMs). Compared to human-engineered features, these embeddings provide automatic and effective representations for classification model…

Computation and Language · Computer Science 2025-07-29 Xuansheng Wu , Wenhao Yu , Xiaoming Zhai , Ninghao Liu

This paper introduces the first, open source software library for Constraint Consistent Learning (CCL). It implements a family of data-driven methods that are capable of (i) learning state-independent and -dependent constraints, (ii)…

Robotics · Computer Science 2020-02-19 Yuchen Zhao , Jeevan Manavalan , Prabhakar Ray , Hsiu-Chin Lin , Matthew Howard

Adapting Vision-Language Models (VLMs) to new domains with few labeled samples remains a significant challenge due to severe overfitting and computational constraints. State-of-the-art solutions, such as low-rank reparameterization,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Nairouz Mrabah , Nicolas Richet , Ismail Ben Ayed , Éric Granger
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