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Causal Structure Learning (CSL), also referred to as causal discovery, amounts to extracting causal relations among variables in data. CSL enables the estimation of causal effects from observational data alone, avoiding the need to perform…

Machine Learning · Computer Science 2025-02-12 Fabrizio Russo , Francesca Toni

Self-supervised learning models extract general-purpose representations from data. Quantifying the reliability of these representations is crucial, as many downstream models rely on them as input for their own tasks. To this end, we…

Machine Learning · Computer Science 2024-05-21 Young-Jin Park , Hao Wang , Shervin Ardeshir , Navid Azizan

A key goal of unsupervised representation learning is "inverting" a data generating process to recover its latent properties. Existing work that provably achieves this goal relies on strong assumptions on relationships between the latent…

Machine Learning · Computer Science 2021-11-01 Kartik Ahuja , Jason Hartford , Yoshua Bengio

Conditional contrastive learning frameworks consider the conditional sampling procedure that constructs positive or negative data pairs conditioned on specific variables. Fair contrastive learning constructs negative pairs, for example,…

Machine Learning · Computer Science 2022-03-16 Yao-Hung Hubert Tsai , Tianqin Li , Martin Q. Ma , Han Zhao , Kun Zhang , Louis-Philippe Morency , Ruslan Salakhutdinov

Causal representation learning aims to unveil latent high-level causal representations from observed low-level data. One of its primary tasks is to provide reliable assurance of identifying these latent causal models, known as…

Machine Learning · Computer Science 2024-12-02 Yuhang Liu , Zhen Zhang , Dong Gong , Mingming Gong , Biwei Huang , Anton van den Hengel , Kun Zhang , Javen Qinfeng Shi

Learning graphical conditional independence structures from nonlinear, continuous or mixed data is a central challenge in machine learning and the sciences, and many existing methods struggle to scale to thousands of samples or hundreds of…

Machine Learning · Statistics 2025-11-05 Joseph Ramsey , Bryan Andrews , Peter Spirtes

We consider settings in which the data of interest correspond to pairs of ordered times, e.g, the birth times of the first and second child, the times at which a new user creates an account and makes the first purchase on a website, and the…

Methodology · Statistics 2020-11-19 Tamara Fernández , Wenkai Xu , Marc Ditzhaus , Arthur Gretton

In this paper we propose and study a class of simple, nonparametric, yet interpretable measures of conditional dependence between two random variables $Y$ and $Z$ given a third variable $X$, all taking values in general topological spaces.…

Methodology · Statistics 2022-09-20 Zhen Huang , Nabarun Deb , Bodhisattva Sen

Evaluating machine unlearning remains challenging, as existing methods typically require retraining reference models or performing membership inference attacks, both of which rely on prior access to training configuration or supervision…

Machine Learning · Computer Science 2026-03-03 Chenhao Zhang , Muxing Li , Feng Liu , Weitong Chen , Miao Xu

Many questions in science center around the fundamental problem of understanding causal relationships. However, most constraint-based causal discovery algorithms, including the well-celebrated PC algorithm, often incur an exponential number…

Machine Learning · Computer Science 2024-06-05 Kirankumar Shiragur , Jiaqi Zhang , Caroline Uhler

In this paper we explore partial coherence as a tool for evaluating causal influence of one signal sequence on another. In some cases the signal sequence is sampled from a time- or space-series. The key idea is to establish a connection…

Signal Processing · Electrical Eng. & Systems 2021-12-09 Louis L. Scharf , Yuan Wang

Stochastic simulation models are generative models that mimic complex systems to help with decision-making. The reliability of these models heavily depends on well-calibrated input model parameters. However, in many practical scenarios,…

Methodology · Statistics 2024-11-11 Ziwei Su , Diego Klabjan

Massive data collection holds the promise of a better understanding of complex phenomena and, ultimately, better decisions. Representation learning has become a key driver of deep learning applications, as it allows learning latent spaces…

Machine Learning · Computer Science 2025-11-10 Caroline Uhler , Jiaqi Zhang

Networks of interdependent industrial assets (clients) are tightly coupled through physical processes and control inputs, raising a key question: how would the output of one client change if another client were operated differently? This is…

Machine Learning · Computer Science 2026-03-19 Nazal Mohamed , Ayush Mohanty , Nagi Gebraeel

We consider the problem of conditional independence testing: given a response Y and covariates (X,Z), we test the null hypothesis that Y is independent of X given Z. The conditional randomization test (CRT) was recently proposed as a way to…

Methodology · Statistics 2021-06-07 Molei Liu , Eugene Katsevich , Lucas Janson , Aaditya Ramdas

In many real-world applications of regression, conditional probability estimation, and uncertainty quantification, exploiting symmetries rooted in physics or geometry can dramatically improve generalization and sample efficiency. While…

Machine Learning · Computer Science 2025-05-28 Daniel Ordoñez-Apraez , Vladimir Kostić , Alek Fröhlich , Vivien Brandt , Karim Lounici , Massimiliano Pontil

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

Testing independence among a number of (ultra) high-dimensional random samples is a fundamental and challenging problem. By arranging $n$ identically distributed $p$-dimensional random vectors into a $p \times n$ data matrix, we investigate…

Statistics Theory · Mathematics 2017-03-28 Xi Chen , Weidong Liu

Presence of bias (in datasets or tasks) is inarguably one of the most critical challenges in machine learning applications that has alluded to pivotal debates in recent years. Such challenges range from spurious associations between…

Computer Vision and Pattern Recognition · Computer Science 2020-11-23 Ehsan Adeli , Qingyu Zhao , Adolf Pfefferbaum , Edith V. Sullivan , Li Fei-Fei , Juan Carlos Niebles , Kilian M. Pohl

Conformal prediction provides rigorous distribution-free finite-sample guarantees for marginal coverage under the assumption of exchangeability, but may exhibit systematic undercoverage or overcoverage for specific subpopulations. Assessing…

Methodology · Statistics 2026-04-24 Zheng Zhou , Xiangfei Zhang , Chongguang Tao , Yuhong Yang
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