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We consider a high dimensional binary classification problem and construct a classification procedure by minimizing the empirical misclassification risk with a penalty on the number of selected features. We derive non-asymptotic probability…

Methodology · Statistics 2018-11-26 Le-Yu Chen , Sokbae Lee

Sparse representation based classification (SRC) has been proved to be a simple, effective and robust solution to face recognition. As it gets popular, doubts on the necessity of enforcing sparsity starts coming up, and primary experimental…

Computer Vision and Pattern Recognition · Computer Science 2014-03-07 Yang Wu , Vansteenberge Jarich , Masayuki Mukunoki , Michihiko Minoh

Consider the detection of a sparse change in high-dimensional time-series. We introduce Sparsity Likelihood-based (SL-based) score and the change-points detection procedure in multivariate normal model with general covariance structure.…

Methodology · Statistics 2025-07-30 Jingyan Huang

Modern variable selection procedures make use of penalization methods to execute simultaneous model selection and estimation. A popular method is the LASSO (least absolute shrinkage and selection operator), the use of which requires…

Methodology · Statistics 2023-01-12 Meadhbh O'Neill , Kevin Burke

Sparse recovery in linear systems underpins applications from signal processing to high-dimensional regression. Sparse Bayesian Learning, grounded in the principle of automatic relevance determination (ARD), offers a practical Bayesian…

In this paper we propose a simple yet powerful method for learning representations in supervised learning scenarios where each original input datapoint is described by a set of vectors and their associated outputs may be given by soft…

Machine Learning · Computer Science 2012-06-22 Edwin Bonilla , Antonio Robles-Kelly

We apply the network Lasso to classify partially labeled data points which are characterized by high-dimensional feature vectors. In order to learn an accurate classifier from limited amounts of labeled data, we borrow statistical strength,…

Machine Learning · Computer Science 2019-03-27 Nguyen Tran , Henrik Ambos , Alexander Jung

To obtain a large amount of training labels inexpensively, researchers have recently adopted the weak supervision (WS) paradigm, which leverages labeling rules to synthesize training labels rather than using individual annotations to…

Computation and Language · Computer Science 2022-10-10 Linxin Song , Jieyu Zhang , Tianxiang Yang , Masayuki Goto

This paper proposes a sparse regression strategy for discovery of ordinary differential equations from incomplete and noisy data. Inference is performed over both equation parameters and state variables using a statistically motivated…

Dynamical Systems · Mathematics 2026-02-18 Teddy Meissner , Karl Glasner

In a typical supervised machine learning setting, the predictions on all test instances are based on a common subset of features discovered during model training. However, using a different subset of features that is most informative for…

Machine Learning · Computer Science 2021-06-10 Yasitha Warahena Liyanage , Daphney-Stavroula Zois , Charalampos Chelmis

Pairwise similarities and dissimilarities between data points might be easier to obtain than fully labeled data in real-world classification problems, e.g., in privacy-aware situations. To handle such pairwise information, an empirical risk…

Machine Learning · Computer Science 2019-04-29 Takuya Shimada , Han Bao , Issei Sato , Masashi Sugiyama

The essence of distantly supervised relation extraction is that it is an incomplete multi-label classification problem with sparse and noisy features. To tackle the sparsity and noise challenges, we propose solving the classification…

Computation and Language · Computer Science 2014-11-18 Miao Fan , Deli Zhao , Qiang Zhou , Zhiyuan Liu , Thomas Fang Zheng , Edward Y. Chang

Multivariate time series naturally exist in many fields, like energy, bioinformatics, signal processing, and finance. Most of these applications need to be able to compare these structured data. In this context, dynamic time warping (DTW)…

Machine Learning · Computer Science 2016-10-18 Maria-Irina Nicolae , Éric Gaussier , Amaury Habrard , Marc Sebban

In many social, economical, biological and medical studies, one objective is to classify a subject into one of several classes based on a set of variables observed from the subject. Because the probability distribution of the variables is…

Statistics Theory · Mathematics 2011-05-19 Jun Shao , Yazhen Wang , Xinwei Deng , Sijian Wang

This paper deals with supervised classification and feature selection in high dimensional space. A classical approach is to project data on a low dimensional space and classify by minimizing an appropriate quadratic cost. A strict control…

Machine Learning · Computer Science 2019-12-02 Michel Barlaud , Antonin Chambolle , Jean-Baptiste Caillau

The sparse representation classifier (SRC) has been utilized in various classification problems, which makes use of L1 minimization and works well for image recognition satisfying a subspace assumption. In this paper we propose a new…

Machine Learning · Statistics 2024-06-27 Cencheng Shen , Li Chen , Yuexiao Dong , Carey E. Priebe

Dynamic data selection accelerates training by sampling a changing subset of the dataset while preserving accuracy. We rethink two core notions underlying sample evaluation: representativeness and diversity. Instead of local geometric…

Artificial Intelligence · Computer Science 2026-03-06 Yuzhe Zhou , Zhenglin Hua , Haiyun Guo , Yuheng Jia

In recent years, data selection has emerged as a core issue for large-scale visual-language model pretraining, especially on noisy web-curated datasets. One widely adopted strategy assigns quality scores such as CLIP similarity for each…

Machine Learning · Computer Science 2024-02-06 Yiping Wang , Yifang Chen , Wendan Yan , Kevin Jamieson , Simon Shaolei Du

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

Lasso and other regularization procedures are attractive methods for variable selection, subject to a proper choice of shrinkage parameter. Given a set of potential subsets produced by a regularization algorithm, a consistent model…

Methodology · Statistics 2014-02-26 Minh-Ngoc Tran