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Unsupervised feature selection (UFS) is widely applied in machine learning and pattern recognition. However, most of the existing methods only consider a single sparsity, which makes it difficult to select valuable and discriminative…

Optimization and Control · Mathematics 2025-01-03 Xianchao Xiu , Anning Yang , Chenyi Huang , Xinrong Li , Wanquan Liu

We propose a novel approach, Sequential Lasso, for feature selection in linear regression models with ultra-high dimensional feature spaces. We investigate in this article the asymptotic properties of Sequential Lasso and establish its…

Methodology · Statistics 2011-07-15 Shan Luo , Zehua Chen

Unsupervised visual representation learning offers the opportunity to leverage large corpora of unlabeled trajectories to form useful visual representations, which can benefit the training of reinforcement learning (RL) algorithms. However,…

Machine Learning · Computer Science 2024-06-04 Wancong Zhang , Anthony GX-Chen , Vlad Sobal , Yann LeCun , Nicolas Carion

A novel framework is introduced to formalize identifiability in well-specified but ill-posed linear regression models. The framework is distribution-free and accommodates highly correlated features that may or may not relate to the…

Statistics Theory · Mathematics 2026-03-05 Gianluca Finocchio , Tatyana Krivobokova

Forward-backward stochastic differential equations (FBSDEs) have been generalized by introducing jumps for better capturing random phenomena, while the resulting FBSDEs are far more intricate than the standard one from every perspective. In…

Numerical Analysis · Mathematics 2024-10-15 Reiichiro Kawai , Riu Naito , Toshihiro Yamada

Publicly available, large pretrained LanguageModels (LMs) generate text with remarkable quality, but only sequentially from left to right. As a result, they are not immediately applicable to generation tasks that break the unidirectional…

Computation and Language · Computer Science 2021-12-28 Peter West , Ximing Lu , Ari Holtzman , Chandra Bhagavatula , Jena Hwang , Yejin Choi

In this paper, we consider a recursive estimation problem for linear regression where the signal to be estimated admits a sparse representation and measurement samples are only sequentially available. We propose a convergent parallel…

Optimization and Control · Mathematics 2017-12-12 Yang Yang , Mengyi Zhang , Marius Pesavento , Daniel P. Palomar

Deep regression is an important problem with numerous applications. These range from computer vision tasks such as age estimation from photographs, to medical tasks such as ejection fraction estimation from echocardiograms for disease…

Computer Vision and Pattern Recognition · Computer Science 2023-02-16 Weihang Dai , Xiaomeng Li , Kwang-Ting Cheng

We present fast classification techniques for sparse generalized linear and additive models. These techniques can handle thousands of features and thousands of observations in minutes, even in the presence of many highly correlated…

Machine Learning · Computer Science 2022-11-01 Jiachang Liu , Chudi Zhong , Margo Seltzer , Cynthia Rudin

With the rapid increase of compound databases available in medicinal and material science, there is a growing need for learning representations of molecules in a semi-supervised manner. In this paper, we propose an unsupervised hierarchical…

Machine Learning · Statistics 2017-11-30 Hai Nguyen , Shin-ichi Maeda , Kenta Oono

Sparse Bayesian learning is a state-of-the-art supervised learning algorithm that can choose a subset of relevant samples from the input data and make reliable probabilistic predictions. However, in the presence of high-dimensional data…

Machine Learning · Computer Science 2020-01-10 Bingbing Jiang , Chang Li , Maarten de Rijke , Xin Yao , Huanhuan Chen

Unsupervised feature selection has been always attracting research attention in the communities of machine learning and data mining for decades. In this paper, we propose an unsupervised feature selection method seeking a feature…

Machine Learning · Computer Science 2015-06-04 Sen Wang , Feiping Nie , Xiaojun Chang , Lina Yao , Xue Li , Quan Z. Sheng

We describe the use of an unsupervised Random Forest for similarity learning and improved unsupervised anomaly detection. By training a Random Forest to discriminate between real data and synthetic data sampled from a uniform distribution…

Machine Learning · Statistics 2025-04-23 Joshua S. Harvey , Joshua Rosaler , Mingshu Li , Dhruv Desai , Dhagash Mehta

Slow Feature Analysis is a unsupervised representation learning method that extracts slowly varying features from temporal data and can be used as a basis for subsequent reinforcement learning. Often, the behavior that generates the data on…

Machine Learning · Computer Science 2025-06-03 Merlin Schüler , Eddie Seabrook , Laurenz Wiskott

Unsupervised learning methods based on contrastive learning have drawn increasing attention and achieved promising results. Most of them aim to learn representations invariant to instance-level variations, which are provided by different…

Computer Vision and Pattern Recognition · Computer Science 2020-11-04 Feng Wang , Huaping Liu , Di Guo , Fuchun Sun

Over the last years, deep convolutional neural networks (ConvNets) have transformed the field of computer vision thanks to their unparalleled capacity to learn high level semantic image features. However, in order to successfully learn…

Computer Vision and Pattern Recognition · Computer Science 2018-03-22 Spyros Gidaris , Praveer Singh , Nikos Komodakis

Linear mixed effects models are widely used in statistical modelling. We consider a mixed effects model with Bayesian variable selection in the random effects using spike-and-slab priors and developed a variational Bayes inference scheme…

Methodology · Statistics 2024-08-15 M-Z. Spyropoulou , J. Hopker , J. E. Griffin

Feature selection is a critical step in the analysis of high-dimensional data, where the number of features often vastly exceeds the number of samples. Effective feature selection not only improves model performance and interpretability but…

Machine Learning · Computer Science 2025-01-27 Raquel Espinosa , Gracia Sánchez , José Palma , Fernando Jiménez

Unsupervised object discovery aims to localize objects in images, while removing the dependence on annotations required by most deep learning-based methods. To address this problem, we propose a fully unsupervised, bottom-up approach, for…

Computer Vision and Pattern Recognition · Computer Science 2022-12-21 Sandra Kara , Hejer Ammar , Florian Chabot , Quoc-Cuong Pham

We consider the linear regression problem under semi-supervised settings wherein the available data typically consists of: (i) a small or moderate sized 'labeled' data, and (ii) a much larger sized 'unlabeled' data. Such data arises…

Methodology · Statistics 2018-07-02 Abhishek Chakrabortty , Tianxi Cai