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We propose a method to optimize the representation and distinguishability of samples from two probability distributions, by maximizing the estimated power of a statistical test based on the maximum mean discrepancy (MMD). This optimized MMD…

Deep models are used for molecular property prediction, yet they are often difficult to interpret and may rely on spurious context rather than causal structure, which reduces reliability under distribution shift and harms predictive…

Machine Learning · Computer Science 2026-02-10 Tao Li , Kaiyuan Hou , Tuan Vinh , Monika Raj , Carl Yang

Independence analysis is an indispensable step before regression analysis to find out essential factors that influence the objects. With many applications in machine Learning, medical Learning and a variety of disciplines, statistical…

Methodology · Statistics 2022-07-08 Wenliang Pan , Yujue Li , Jianwu Liu , Pei Dang , Weixiong Mai

As language models (LMs) deliver increasing performance on a range of NLP tasks, probing classifiers have become an indispensable technique in the effort to better understand their inner workings. A typical setup involves (1) defining an…

Computation and Language · Computer Science 2024-08-01 Charles Jin , Martin Rinard

Behavioral cloning reduces policy learning to supervised learning by training a discriminative model to predict expert actions given observations. Such discriminative models are non-causal: the training procedure is unaware of the causal…

Machine Learning · Computer Science 2019-11-05 Pim de Haan , Dinesh Jayaraman , Sergey Levine

Dual control addresses the trade-off between exploitation and exploration, where control inputs both regulate the system and generate informative data for estimation and identification. For certain problem classes, control and estimation…

Optimization and Control · Mathematics 2026-04-08 Tren Baltussen , Nathan P. Lawrence , Alexander Katriniok , Ali Mesbah , Maurice Heemels

By adhering to the dictum, "No causation without manipulation (treatment, intervention)", cause and effect data analysis represents changes in observed data in terms of changes in the causal factors. When causal factors are not amenable for…

Computer Vision and Pattern Recognition · Computer Science 2024-12-25 M. Alex O. Vasilescu , Eric Kim , Xiao S. Zeng

Algorithmic decisions about individuals require predictions that are not only accurate but also fair with respect to sensitive attributes such as gender and race. Causal notions of fairness align with legal requirements, yet many methods…

Machine Learning · Statistics 2026-03-02 Yoichi Chikahara

Given data sampled from a number of variables, one is often interested in the underlying causal relationships in the form of a directed acyclic graph. In the general case, without interventions on some of the variables it is only possible…

Machine Learning · Statistics 2017-12-05 Christopher Nowzohour , Peter Bühlmann

Despite impressive performance on language modelling and complex reasoning tasks, Large Language Models (LLMs) fall short on the same tasks in uncommon settings or with distribution shifts, exhibiting a lack of generalisation ability. By…

Computation and Language · Computer Science 2024-09-11 Gaël Gendron , Bao Trung Nguyen , Alex Yuxuan Peng , Michael Witbrock , Gillian Dobbie

Many regulatory and analytic problems require that a prohibited variable influence a decision only through a designated allowable channel -- a conditional-independence requirement that arises in path-specific fairness, the handling of…

Machine Learning · Statistics 2026-05-19 Zou Yang , Sophia Xiao , Bijan Mazaheri

Quantifying the dependence between high-dimensional random variables is central to statistical learning and inference. Two classical methods are canonical correlation analysis (CCA), which identifies maximally correlated projected versions…

Machine Learning · Computer Science 2023-09-29 Dor Tsur , Ziv Goldfeld , Kristjan Greenewald

Contextual causal reasoning is a critical yet challenging capability for Large Language Models (LLMs). Existing benchmarks, however, often evaluate this skill in fragmented settings, failing to ensure context consistency or cover the full…

Computation and Language · Computer Science 2026-04-17 Pengfeng Li , Chen Huang , Chaoqun Hao , Hongyao Chen , Xiao-Yong Wei , Wenqiang Lei , See-Kiong Ng

Causal effect identification considers whether an interventional probability distribution can be uniquely determined from a passively observed distribution in a given causal structure. If the generating system induces context-specific…

Artificial Intelligence · Computer Science 2024-07-03 Santtu Tikka , Antti Hyttinen , Juha Karvanen

The driving force behind the recent success of LSTMs has been their ability to learn complex and non-linear relationships. Consequently, our inability to describe these relationships has led to LSTMs being characterized as black boxes. To…

Computation and Language · Computer Science 2018-05-01 W. James Murdoch , Peter J. Liu , Bin Yu

The maximum mean discrepancy (MMD) is a kernel-based nonparametric statistic for two-sample testing, whose inferential accuracy depends critically on variance characterization. Existing work provides various finite-sample estimators of the…

Machine Learning · Statistics 2026-02-05 Shijie Zhong , Yikun Yang , Da Gong , Jiangfeng Fu

Scaling laws have allowed Pre-trained Language Models (PLMs) into the field of causal reasoning. Causal reasoning of PLM relies solely on text-based descriptions, in contrast to causal discovery which aims to determine the causal…

A complementary label (CL) simply indicates an incorrect class of an example, but learning with CLs results in multi-class classifiers that can predict the correct class. Unfortunately, the problem setting only allows a single CL for each…

Machine Learning · Computer Science 2022-08-09 Lei Feng , Takuo Kaneko , Bo Han , Gang Niu , Bo An , Masashi Sugiyama

Built upon the concept of causal faithfulness, the so-called causal discovery algorithms propose the breakdown of mutual information (MI) and conditional mutual information (CMI) into sets of variables to reveal causal influences. These…

Statistical Mechanics · Physics 2022-08-09 Tiago Martinelli , Diogo O. Soares-Pinto , Francisco A. Rodrigues

In this article we propose an extension to the typed natural deduction calculus TNDPQ to model verification of individual fairness and intersectionality in probabilistic classifiers. Their interpretation is obtained by formulating specific…

Logic in Computer Science · Computer Science 2025-10-28 Leonardo Ceragioli , Giuseppe Primiero