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Principal component analysis (PCA) is a tool to capture factors that explain variation in data. Across domains, data are now collected across multiple contexts (for example, individuals with different diseases, cells of different types, or…

Machine Learning · Statistics 2026-01-22 Kexin Wang , Salil Bhate , João M. Pereira , Joe Kileel , Matylda Figlerowicz , Anna Seigal

Decentralized data sources are prevalent in real-world applications, posing a formidable challenge for causal inference. These sources cannot be consolidated into a single entity owing to privacy constraints. The presence of dissimilar data…

Machine Learning · Computer Science 2024-05-31 Thanh Vinh Vo , Young lee , Tze-Yun Leong

Predictable Feature Analysis (PFA) (Richthofer, Wiskott, ICMLA 2015) is an algorithm that performs dimensionality reduction on high dimensional input signal. It extracts those subsignals that are most predictable according to a certain…

Machine Learning · Computer Science 2017-12-05 Stefan Richthofer , Laurenz Wiskott

Factor analysis is often used to assess whether a single univariate latent variable is sufficient to explain most of the covariance among a set of indicators for some underlying construct. When evidence suggests that a single factor is…

Methodology · Statistics 2022-04-18 Tyler J. VanderWeele , Stijn Vansteelandt

Causal graphs may inform covariate adjustment for estimating causal effects and improve estimation efficiency by exploiting the graphical structure. In many applications, however, the target causal parameter may not be point-identified due…

In the field of machine learning, it is still a critical issue to identify and supervise the learned representation without manually intervening or intuition assistance to extract useful knowledge or serve for the downstream tasks. In this…

Machine Learning · Computer Science 2025-12-10 Shiqi Liu , Jingxin Liu , Qian Zhao , Xiangyong Cao , Huibin Li , Deyu Meng , Hongying Meng , Sheng Liu

One of the most fundamental problems in causal inference is the estimation of a causal effect when variables are confounded. This is difficult in an observational study, because one has no direct evidence that all confounders have been…

Machine Learning · Statistics 2014-11-03 Ricardo Silva , Robin Evans

Estimating causal effects from nonexperimental data is a fundamental problem in many fields of science. A key component of this task is selecting an appropriate set of covariates for confounding adjustment to avoid bias. Most existing…

Machine Learning · Computer Science 2025-10-28 Zheng Li , Xichen Guo , Feng Xie , Yan Zeng , Hao Zhang , Zhi Geng

Causal analysis has become an essential component in understanding the underlying causes of phenomena across various fields. Despite its significance, existing literature on causal discovery algorithms is fragmented, with inconsistent…

Artificial Intelligence · Computer Science 2024-09-05 Wenjin Niu , Zijun Gao , Liyan Song , Lingbo Li

A set of curves or images of similar shape is an increasingly common functional data set collected in the sciences. Principal Component Analysis (PCA) is the most widely used technique to decompose variation in functional data. However, the…

Methodology · Statistics 2009-09-29 Rima Izem , J. S. Marron

In many data classification problems, there is no linear relationship between an explanatory and the dependent variables. Instead, there may be ranges of the input variable for which the observed outcome is signficantly more or less likely.…

Machine Learning · Computer Science 2016-04-13 Mallory Sheth , Roy Welsch , Natasha Markuzon

Inferring cause-effect relationships from observational data has gained significant attention in recent years, but most methods are limited to scalar random variables. In many important domains, including neuroscience, psychology, social…

Machine Learning · Statistics 2025-06-06 Konstantin Göbler , Tobias Windisch , Mathias Drton

Unsupervised feature selection (UFS) has recently gained attention for its effectiveness in processing unlabeled high-dimensional data. However, existing methods overlook the intrinsic causal mechanisms within the data, resulting in the…

Machine Learning · Computer Science 2025-01-28 Zongxin Shen , Yanyong Huang , Dongjie Wang , Minbo Ma , Fengmao Lv , Tianrui Li

Pursuing causality from data is a fundamental problem in scientific discovery, treatment intervention, and transfer learning. This paper introduces a novel algorithmic method for addressing nonparametric invariance and causality learning in…

Statistics Theory · Mathematics 2025-11-18 Yihong Gu , Cong Fang , Peter Bühlmann , Jianqing Fan

At the heart of causal structure learning from observational data lies a deceivingly simple question: given two statistically dependent random variables, which one has a causal effect on the other? This is impossible to answer using…

Machine Learning · Computer Science 2020-10-13 Nikolaos Nikolaou , Konstantinos Sechidis

Discovering the complete set of causal relations among a group of variables is a challenging unsupervised learning problem. Often, this challenge is compounded by the fact that there are latent or hidden confounders. When only observational…

Machine Learning · Computer Science 2021-01-19 Anqi Liu , Hao Liu , Tongxin Li , Saeed Karimi-Bidhendi , Yisong Yue , Anima Anandkumar

Meta-analysis, by synthesizing effect estimates from multiple studies conducted in diverse settings, stands at the top of the evidence hierarchy in clinical research. Yet, conventional approaches based on fixed- or random-effects models…

Temporally evolving systems are typically modeled by dynamic equations. A key challenge in accurate modeling is understanding the causal relationships between subsystems, as well as identifying the presence and influence of unobserved…

Methodology · Statistics 2024-10-28 András Telcs , Marcell T. Kurbucz , Antal Jakovác

Factor analysis has been extensively used to reveal the dependence structures among multivariate variables, offering valuable insight in various fields. However, it cannot incorporate the spatial heterogeneity that is typically present in…

Methodology · Statistics 2024-11-14 Yanxiu Jin , Tomoya Wakayama , Renhe Jiang , Shonosuke Sugasawa

Causal inference is a science with multi-disciplinary evolution and applications. On the one hand, it measures effects of treatments in observational data based on experimental designs and rigorous statistical inference to draw causal…

Methodology · Statistics 2022-09-05 Jingying Zeng , Run Wang