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Within the statistical and machine learning literature, regularization techniques are often used to construct sparse (predictive) models. Most regularization strategies only work for data where all predictors are treated identically, such…

Computation · Statistics 2020-12-16 Sander Devriendt , Katrien Antonio , Tom Reynkens , Roel Verbelen

This study introduces a novel technique for multi-view clustering known as the "Consensus Graph-Based Multi-View Clustering Method Using Low-Rank Non-Convex Norm" (CGMVC-NC). Multi-view clustering is a challenging task in machine learning…

Machine Learning · Computer Science 2025-11-21 Alaeddine Zahir , Khalide Jbilou , Ahmed Ratnani

Computational efficient evaluation of penalized estimators of multivariate exponential family distributions is sought. These distributions encompass among others Markov random fields with variates of mixed type (e.g. binary and continuous)…

Methodology · Statistics 2020-12-29 Diederik S. Laman Trip , Wessel N. van Wieringen

Modeling temporal multimodal data poses significant challenges in classification tasks, particularly in capturing long-range temporal dependencies and intricate cross-modal interactions. Audiovisual data, as a representative example, is…

Machine Learning · Computer Science 2025-08-05 Feng Xu , Hui Wang , Yuting Huang , Danwei Zhang , Zizhu Fan

By removing irrelevant and redundant features, feature selection aims to find a good representation of the original features. With the prevalence of unlabeled data, unsupervised feature selection has been proven effective in alleviating the…

Machine Learning · Computer Science 2024-03-25 Ziyuan Lin , Deanna Needell

Artificial neural network (ANN) is a very useful tool in solving learning problems. Boosting the performances of ANN can be mainly concluded from two aspects: optimizing the architecture of ANN and normalizing the raw data for ANN. In this…

Machine Learning · Computer Science 2017-12-27 Qingjiu Zhang , Shiliang Sun

As the data-driven decision process becomes dominating for industrial applications, fairness-aware machine learning arouses great attention in various areas. This work proposes fairness penalties learned by neural networks with a simple…

Machine Learning · Statistics 2024-03-12 Jinwon Sohn , Qifan Song , Guang Lin

Multimodal representation learning is commonly built on a shared-private decomposition, treating latent information as either common to all modalities or specific to one. This binary view is often inadequate: many factors are shared by only…

Machine Learning · Statistics 2026-04-08 Huichao Li , Junhan Yu , Doudou Zhou

A new method to solve computationally challenging (random) parametric obstacle problems is developed and analyzed, where the parameters can influence the related partial differential equation (PDE) and determine the position and surface…

Machine Learning · Computer Science 2025-04-08 Martin Eigel , Cosmas Heiß , Janina E. Schütte

A low-rank transformation learning framework for subspace clustering and classification is here proposed. Many high-dimensional data, such as face images and motion sequences, approximately lie in a union of low-dimensional subspaces. The…

Computer Vision and Pattern Recognition · Computer Science 2014-03-11 Qiang Qiu , Guillermo Sapiro

In this article, we propose a penalized clustering method for large scale data with multiple covariates through a functional data approach. In the proposed method, responses and covariates are linked together through nonparametric…

Methodology · Statistics 2008-01-17 Ping Ma , Wenxuan Zhong

Robust environment perception is essential for decision-making on robots operating in complex domains. Principled treatment of uncertainty sources in a robot's observation model is necessary for accurate mapping and object detection. This…

Computer Vision and Pattern Recognition · Computer Science 2016-07-15 Shayegan Omidshafiei , Brett T. Lopez , Jonathan P. How , John Vian

A new method is proposed for variable screening, variable selection and prediction in linear regression problems where the number of predictors can be much larger than the number of observations. The method involves minimizing a penalized…

Statistics Theory · Mathematics 2017-09-14 D. Vasiliu , T. Dey , I. L. Dryden

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…

Machine Learning · Computer Science 2020-07-09 Andrii Trelin , Aleš Procházka

Variable selection for models including interactions between explanatory variables often needs to obey certain hierarchical constraints. The weak or strong structural hierarchy requires that the existence of an interaction term implies at…

Statistics Theory · Mathematics 2016-11-10 Yiyuan She , Zhifeng Wang , He Jiang

We propose a novel method for hierarchical entity classification that embraces ontological structure at both training and during prediction. At training, our novel multi-level learning-to-rank loss compares positive types against negative…

Computation and Language · Computer Science 2020-04-07 Tongfei Chen , Yunmo Chen , Benjamin Van Durme

Molecular profiling data (e.g., gene expression) has been used for clinical risk prediction and biomarker discovery. However, it is necessary to integrate other prior knowledge like biological pathways or gene interaction networks to…

Genomics · Quantitative Biology 2016-09-22 Wenwen Min , Juan Liu , Shihua Zhang

An applied problem facing all areas of data science is harmonizing data sources. Joining data from multiple origins with unmapped and only partially overlapping features is a prerequisite to developing and testing robust, generalizable…

The low-rank matrix reconstruction (LRMR) approach is widely used in direction-of-arrival (DOA) estimation. As the rank norm penalty in an LRMR is NP-hard to compute, the nuclear norm (or the trace norm for a positive semidefinite (PSD)…

Information Theory · Computer Science 2017-12-07 Xiaohuan Wu , Wei-Ping Zhu , Jun Yan

A new penalty-free neural network method, PFNN-2, is presented for solving partial differential equations, which is a subsequent improvement of our previously proposed PFNN method [1]. PFNN-2 inherits all advantages of PFNN in handling the…

Numerical Analysis · Mathematics 2022-05-03 Hailong Sheng , Chao Yang