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The Lasso is one of the most important approaches for parameter estimation and variable selection in high dimensional linear regression. At the heart of its success is the attractive rate of convergence result even when $p$, the dimension…

Statistics Theory · Mathematics 2019-08-09 Junlong Zhao , Chenlei Leng

Time-series representation learning can extract representations from data with temporal dynamics and sparse labels. When labeled data are sparse but unlabeled data are abundant, contrastive learning, i.e., a framework to learn a latent…

Machine Learning · Computer Science 2023-03-03 Heejeong Choi , Pilsung Kang

In this paper, we investigate the research problem of unsupervised multi-view feature selection. Conventional solutions first simply combine multiple pre-constructed view-specific similarity structures into a collaborative similarity…

Information Retrieval · Computer Science 2019-04-26 Xiao Dong , Lei Zhu , Xuemeng Song , Jingjing Li , Zhiyong Cheng

Multi-task learning enhances model generalization by jointly learning from related tasks. This paper focuses on the $\ell_{1,\infty}$-norm constrained multi-task learning problem, which promotes a shared feature representation while…

Optimization and Control · Mathematics 2025-04-22 Lanyu Lin , Yong-Jin Liu , Bo Wang , Junfeng Yang

Many feature subset selection (FSS) algorithms have been proposed, but not all of them are appropriate for a given feature selection problem. At the same time, so far there is rarely a good way to choose appropriate FSS algorithms for the…

Machine Learning · Computer Science 2014-02-05 Guangtao Wang , Qinbao Song , Heli Sun , Xueying Zhang , Baowen Xu , Yuming Zhou

We analyze a class of norms defined via an optimal interpolation problem involving the composition of norms and a linear operator. This construction, known as infimal postcomposition in convex analysis, is shown to encompass various of…

Optimization and Control · Mathematics 2017-08-30 Patrick L. Combettes , Andrew M. McDonald , Charles A. Micchelli , Massimiliano Pontil

This paper presents meta-sparsity, a framework for learning model sparsity, basically learning the parameter that controls the degree of sparsity, that allows deep neural networks (DNNs) to inherently generate optimal sparse shared…

Machine Learning · Computer Science 2025-01-22 Richa Upadhyay , Ronald Phlypo , Rajkumar Saini , Marcus Liwicki

We study sparse group Lasso for high-dimensional double sparse linear regression, where the parameter of interest is simultaneously element-wise and group-wise sparse. This problem is an important instance of the simultaneously structured…

Statistics Theory · Mathematics 2022-05-10 T. Tony Cai , Anru R. Zhang , Yuchen Zhou

Semi-supervised learning has recently been attracting attention as an alternative to fully supervised models that require large pools of labeled data. Moreover, optimizing a model for multiple tasks can provide better generalizability than…

Computer Vision and Pattern Recognition · Computer Science 2020-05-07 Abdullah-Al-Zubaer Imran , Chao Huang , Hui Tang , Wei Fan , Yuan Xiao , Dingjun Hao , Zhen Qian , Demetri Terzopoulos

The Gaussian process is a standard tool for building emulators for both deterministic and stochastic computer experiments. However, application of Gaussian process models is greatly limited in practice, particularly for large-scale and…

Methodology · Statistics 2019-01-09 Chih-Li Sung , Wenjia Wang , Matthew Plumlee , Benjamin Haaland

Matching objects across partially overlapping camera views is crucial in multi-camera systems and requires a view-invariant feature extraction network. Training such a network with cycle-consistency circumvents the need for labor-intensive…

Computer Vision and Pattern Recognition · Computer Science 2025-01-13 Fedor Taggenbrock , Gertjan Burghouts , Ronald Poppe

Multi-Task Learning is a learning paradigm that uses correlated tasks to improve performance generalization. A common way to learn multiple tasks is through the hard parameter sharing approach, in which a single architecture is used to…

Machine Learning · Computer Science 2022-04-15 Angelica Tiemi Mizuno Nakamura , Denis Fernando Wolf , Valdir Grassi

There is a growing interest in single-class modelling and out-of-distribution detection as fully supervised machine learning models cannot reliably identify classes not included in their training. The long tail of infinitely many…

Computer Vision and Pattern Recognition · Computer Science 2023-07-04 Matthew Baugh , Jeremy Tan , Johanna P. Müller , Mischa Dombrowski , James Batten , Bernhard Kainz

Meta-learning methods aim to build learning algorithms capable of quickly adapting to new tasks in low-data regime. One of the most difficult benchmarks of such algorithms is a one-shot learning problem. In this setting many algorithms face…

Machine Learning · Computer Science 2022-10-04 Andrei Boiarov , Kostiantyn Khabarlak , Igor Yastrebov

Multimedia applications often require concurrent solutions to multiple tasks. These tasks hold clues to each-others solutions, however as these relations can be complex this remains a rarely utilized property. When task relations are…

Computer Vision and Pattern Recognition · Computer Science 2019-04-08 Gjorgji Strezoski , Nanne van Noord , Marcel Worring

In many real-world problems, collecting a large number of labeled samples is infeasible. Few-shot learning (FSL) is the dominant approach to address this issue, where the objective is to quickly adapt to novel categories in presence of a…

Computer Vision and Pattern Recognition · Computer Science 2021-04-20 Mamshad Nayeem Rizve , Salman Khan , Fahad Shahbaz Khan , Mubarak Shah

The Graphical Lasso (GLasso) algorithm is fast and widely used for estimating sparse precision matrices (Friedman et al., 2008). Its central role in the literature of high-dimensional covariance estimation rivals that of Lasso regression…

Computation · Statistics 2024-03-20 Aramayis Dallakyan , Mohsen Pourahmadi

This paper addresses the meta-learning problem in sparse linear regression with infinite tasks. We assume that the learner can access several similar tasks. The goal of the learner is to transfer knowledge from the prior tasks to a similar…

Machine Learning · Computer Science 2021-02-19 Zhanyu Wang , Jean Honorio

Neural networks are usually not the tool of choice for nonparametric high-dimensional problems where the number of input features is much larger than the number of observations. Though neural networks can approximate complex multivariate…

Methodology · Statistics 2019-06-25 Jean Feng , Noah Simon

The goal of supervised feature selection is to find a subset of input features that are responsible for predicting output values. The least absolute shrinkage and selection operator (Lasso) allows computationally efficient feature selection…

Machine Learning · Statistics 2019-01-07 Makoto Yamada , Wittawat Jitkrittum , Leonid Sigal , Eric P. Xing , Masashi Sugiyama