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Related papers: Optimal transport for causal discovery

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State-of-the-art causal discovery methods usually assume that the observational data is complete. However, the missing data problem is pervasive in many practical scenarios such as clinical trials, economics, and biology. One…

Machine Learning · Computer Science 2023-01-18 Erdun Gao , Ignavier Ng , Mingming Gong , Li Shen , Wei Huang , Tongliang Liu , Kun Zhang , Howard Bondell

Inferring causal relationships from observational data is crucial when experiments are costly or infeasible. Additive noise models (ANMs) enable unique directed acyclic graph (DAG) identification, but existing sample-efficient ANM methods…

Machine Learning · Computer Science 2025-06-19 Sujai Hiremath , Promit Ghosal , Kyra Gan

Effective connectivity analysis in functional magnetic resonance imaging (fMRI) studies directional interactions among brain regions and experimental stimuli. Dynamic causal modeling (DCM) is a widely used method to estimate effective…

Methodology · Statistics 2026-05-15 Kaitlyn R. Fales , Hyebin Song , Nicole A. Lazar

We consider the problem of causal discovery (a.k.a., causal structure learning) in a multi-domain setting. We assume that the causal functions are invariant across the domains, while the distribution of the exogenous noise may vary. Under…

Machine Learning · Computer Science 2025-05-01 Kasra Jalaldoust , Saber Salehkaleybar , Negar Kiyavash

Imbalance in covariate distributions leads to biased estimates of causal effects. Weighting methods attempt to correct this imbalance but rely on specifying models for the treatment assignment mechanism, which is unknown in observational…

Methodology · Statistics 2022-05-13 Eric Dunipace

Multimodal traffic flow can reflect the health of the transportation system, and its prediction is crucial to urban traffic management. Recent works overemphasize spatio-temporal correlations of traffic flow, ignoring the physical concepts…

Machine Learning · Computer Science 2023-01-23 Yu Zhao , Pan Deng , Junting Liu , Xiaofeng Jia , Mulan Wang

In the quest for accurate and interpretable AI models, eXplainable AI (XAI) has become crucial. Fuzzy Cognitive Maps (FCMs) stand out as an advanced XAI method because of their ability to synergistically combine and exploit both expert…

Artificial Intelligence · Computer Science 2024-05-16 Marios Tyrovolas , Nikolaos D. Kallimanis , Chrysostomos Stylios

In this letter, we employ and design the expectation--conditional maximization either (ECME) algorithm, a generalisation of the EM algorithm, for solving the maximum likelihood direction finding problem of stochastic sources, which may be…

Signal Processing · Electrical Eng. & Systems 2025-08-05 Ming-yan Gong , Bin Lyu

Recent advances have established the identifiability of a directed acyclic graph (DAG) under additive noise models (ANMs), spurring the development of various causal discovery methods. However, most existing methods make restrictive model…

Machine Learning · Statistics 2026-04-24 Stella Huang , Qing Zhou

The inference of the causal relationship between a pair of observed variables is a fundamental problem in science, and most existing approaches are based on one single causal model. In practice, however, observations are often collected…

Machine Learning · Statistics 2018-11-13 Shoubo Hu , Zhitang Chen , Vahid Partovi Nia , Laiwan Chan , Yanhui Geng

Discovering causal relations among observed variables in a given data set is a major objective in studies of statistics and artificial intelligence. Recently, some techniques to discover a unique causal model have been explored based on…

Machine Learning · Statistics 2014-01-23 Takanori Inazumi , Takashi Washio , Shohei Shimizu , Joe Suzuki , Akihiro Yamamoto , Yoshinobu Kawahara

We introduce a multivariate version of causal transport, which we name multicausal transport, involving several filtered processes among which causality constraints are imposed. Subsequently, we consider the barycenter problem for…

Probability · Mathematics 2025-01-29 Beatrice Acciaio , Daniel Kršek , Gudmund Pammer

Motivation: Algorithms that discover variables which are causally related to a target may inform the design of experiments. With observational gene expression data, many methods discover causal variables by measuring each variable's degree…

Quantitative Methods · Quantitative Biology 2014-07-30 Eric V. Strobl , Shyam Visweswaran

Optimal transport has recently been brought forward as a tool for modeling and efficiently solving a variety of flow problems, such as origin-destination problems and multi-commodity flow problems. Although the framework has shown to be…

Optimization and Control · Mathematics 2025-07-29 Anqi Dong , Karl Henrik Johansson , Johan Karlsson

A fundamental problem of causal discovery is cause-effect inference, learning the correct causal direction between two random variables. Significant progress has been made through modelling the effect as a function of its cause and a noise…

Machine Learning · Computer Science 2023-10-27 Xiangyu Sun , Oliver Schulte

We develop estimation for potentially high-dimensional additive structural equation models. A key component of our approach is to decouple order search among the variables from feature or edge selection in a directed acyclic graph encoding…

Methodology · Statistics 2014-12-02 Peter Bühlmann , Jonas Peters , Jan Ernest

In contemporary scientific research, understanding the distinction between correlation and causation is crucial. While correlation is a widely used analytical standard, it does not inherently imply causation. This paper addresses the…

Machine Learning · Computer Science 2023-12-27 Cao Zhihao , Qu Hongchun

Accurate trajectory prediction has long been a major challenge for autonomous driving (AD). Traditional data-driven models predominantly rely on statistical correlations, often overlooking the causal relationships that govern traffic…

Artificial Intelligence · Computer Science 2025-05-13 Bonan Wang , Haicheng Liao , Chengyue Wang , Bin Rao , Yanchen Guan , Guyang Yu , Jiaxun Zhang , Songning Lai , Chengzhong Xu , Zhenning Li

This study compares the performance of a causal and a predictive model in modeling travel mode choice in three neighborhoods in Chicago. A causal discovery algorithm and a causal inference technique were used to extract the causal…

Methodology · Statistics 2023-07-31 Rishabh Singh Chauhan , Uttara Sutradhar , Anton Rozhkov , Sybil Derrible

Causal discovery in the presence of missing data introduces a chicken-and-egg dilemma. While the goal is to recover the true causal structure, robust imputation requires considering the dependencies or, preferably, causal relations among…

Machine Learning · Computer Science 2024-06-04 Vy Vo , He Zhao , Trung Le , Edwin V. Bonilla , Dinh Phung