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Given the increasing complexity of omics datasets, a key challenge is not only improving classification performance but also enhancing the transparency and reliability of model decisions. Effective model performance and feature selection…

Multi-way data extend two-way matrices into higher-dimensional tensors, often explored through dimensional reduction techniques. In this paper, we study the Parallel Factor Analysis (PARAFAC) model for handling multi-way data, representing…

统计方法学 · 统计学 2025-03-11 Mia Hubert , Mehdi Hirari

Subspace clustering is an important unsupervised clustering approach. It is based on the assumption that the high-dimensional data points are approximately distributed around several low-dimensional linear subspaces. The majority of the…

机器学习 · 计算机科学 2021-12-20 Maryam Abdolali , Nicolas Gillis

Agentic AI aims to create systems that set their own goals, adapt proactively to change, and refine behavior through continuous experience. Recent advances suggest that, when facing multiple and unforeseen tasks, agents could benefit from…

A high number of discrete optimization problems, including Vertex Cover, Set Cover or Feedback Vertex Set, can be unified into the class of covering problems. Several of them were shown to be inapproximable by deterministic algorithms. This…

数据结构与算法 · 计算机科学 2013-05-14 Etienne Birmelé

Considering a common case where measurements are obtained from independent sensors, we present a novel outlier-robust filter for nonlinear dynamical systems in this work. The proposed method is devised by modifying the measurement model and…

系统与控制 · 电气工程与系统科学 2022-01-26 Aamir Hussain Chughtai , Muhammad Tahir , Momin Uppal

A stochastic search method, the so-called Adaptive Subspace (AdaSub) method, is proposed for variable selection in high-dimensional linear regression models. The method aims at finding the best model with respect to a certain model…

统计计算 · 统计学 2021-04-20 Christian Staerk , Maria Kateri , Ioannis Ntzoufras

This paper presents a fast methodology, called ROBOUT, to identify outliers in a response variable conditional on a set of linearly related predictors, retrieved from a large granular dataset. ROBOUT is shown to be effective and…

统计方法学 · 统计学 2021-04-27 Matteo Farnè , Angelos Vouldis

Many computer vision tasks involve processing large amounts of data contaminated by outliers, which need to be detected and rejected. While outlier detection methods based on robust statistics have existed for decades, only recently have…

计算机视觉与模式识别 · 计算机科学 2017-04-14 Chong You , Daniel P. Robinson , René Vidal

We propose a robust variable selection procedure using a divergence based M-estimator combined with a penalty function. It produces robust estimates of the regression parameters and simultaneously selects the important explanatory…

统计方法学 · 统计学 2020-01-01 Abhijit Mandal , Samiran Ghosh

The constitutive behavior of materials is modeled through relationships between stress, strain, and possibly additional internal variables. This results in relatively high-dimensional feature spaces for machine learning models rendering the…

计算物理 · 物理学 2026-05-20 Ronak Shoghi , Lukas Morand , Dirk Helm , Alexander Hartmaier

While machine-learning models are flourishing and transforming many aspects of everyday life, the inability of humans to understand complex models poses difficulties for these models to be fully trusted and embraced. Thus, interpretability…

人工智能 · 计算机科学 2020-06-18 Guangyi Zhang , Aristides Gionis

High-dimensional classification has become an increasingly important problem. In this paper we propose a "Multivariate Adaptive Stochastic Search" (MASS) approach which first reduces the dimension of the data space and then applies a…

应用统计 · 统计学 2010-10-08 Tian Siva Tian , Gareth M. James , Rand R. Wilcox

Euclidean embedding from noisy observations containing outlier errors is an important and challenging problem in statistics and machine learning. Many existing methods would struggle with outliers due to a lack of detection ability. In this…

机器学习 · 统计学 2020-12-24 Qian Zhang , Xinyuan Zhao , Chao Ding

We consider problems of dimensionality reduction and learning data representations for continuous spaces with two or more independent degrees of freedom. Such problems occur, for example, when observing shapes with several components that…

机器学习 · 计算机科学 2021-05-31 Sharon Zhang , Amit Moscovich , Amit Singer

Outlier detection aims to identify unusual data instances that deviate from expected patterns. The outlier detection is particularly challenging when outliers are context dependent and when they are defined by unusual combinations of…

人工智能 · 计算机科学 2015-05-18 Charmgil Hong , Milos Hauskrecht

A simple and efficient adaptive Markov Chain Monte Carlo (MCMC) method, called the Metropolized Adaptive Subspace (MAdaSub) algorithm, is proposed for sampling from high-dimensional posterior model distributions in Bayesian variable…

统计方法学 · 统计学 2023-01-04 Christian Staerk , Maria Kateri , Ioannis Ntzoufras

The problem of best subset selection in linear regression is considered with the aim to find a fixed size subset of features that best fits the response. This is particularly challenging when the total available number of features is very…

统计方法学 · 统计学 2023-11-28 Sarat Moka , Benoit Liquet , Houying Zhu , Samuel Muller

Subject selection plays a critical role in experimental studies, especially ones with human subjects. Anecdotal evidence suggests that many such studies, done at or near university campus settings suffer from selection bias, i.e., the…

机器学习 · 计算机科学 2020-12-21 Tahereh Arabghalizi , Alexandros Labrinidis

Informed down-sampling (IDS) is known to improve performance in symbolic regression when combined with various selection strategies, especially tournament selection. However, recent work found that IDS's gains are not consistent across all…

神经与进化计算 · 计算机科学 2026-01-28 Alina Geiger , Martin Briesch , Dominik Sobania , Franz Rothlauf