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Information flow provides a natural measure for the causal interaction between dynamical events. This study extends our previous rigorous formalism of componentwise information flow to the bulk information flow between two complex…

Neurons and Cognition · Quantitative Biology 2021-12-30 X. San Liang

In many fields of scientific research and real-world applications, unbiased estimation of causal effects from non-experimental data is crucial for understanding the mechanism underlying the data and for decision-making on effective…

Artificial Intelligence · Computer Science 2023-12-05 Debo Cheng , Jiuyong Li , Lin Liu , Jixue Liu , Thuc Duy Le

Recommending the best course of action for an individual is a major application of individual-level causal effect estimation. This application is often needed in safety-critical domains such as healthcare, where estimating and communicating…

Machine Learning · Computer Science 2020-10-26 Andrew Jesson , Sören Mindermann , Uri Shalit , Yarin Gal

Causal effect identification typically requires a fully specified causal graph, which can be difficult to obtain in practice. We provide a sufficient criterion for identifying causal effects from a candidate set of Markov equivalence…

Methodology · Statistics 2025-06-19 Kai Z. Teh , Kayvan Sadeghi , Terry Soo

A widely applied approach to causal inference from a non-experimental time series $X$, often referred to as "(linear) Granger causal analysis", is to regress present on past and interpret the regression matrix $\hat{B}$ causally. However,…

Machine Learning · Statistics 2015-12-23 Philipp Geiger , Kun Zhang , Mingming Gong , Dominik Janzing , Bernhard Schölkopf

Score-based causal discovery methods can effectively identify causal relationships by evaluating candidate graphs and selecting the one with the highest score. One popular class of scores is kernel-based generalized score functions, which…

Machine Learning · Computer Science 2025-06-10 Yixin Ren , Haocheng Zhang , Yewei Xia , Hao Zhang , Jihong Guan , Shuigeng Zhou

Due to the challenge posed by multi-source and heterogeneous data collected from diverse environments, causal relationships among features can exhibit variations influenced by different time spans, regions, or strategies. This diversity…

Machine Learning · Computer Science 2025-02-11 Lu Liu , Yang Tang , Kexuan Zhang , Qiyu Sun

The paper reviews methods that seek to draw causal inference from observational data and demonstrates how they can be applied to empirical problems in engineering research. It presents a framework for causal identification based on the…

Applications · Statistics 2022-11-28 Daniel J Graham

In the fundamental statistics course, students are taught to remember the well-known saying: "Correlation is not Causation". Till now, statistics (i.e., correlation) have developed various successful frameworks, such as Transformer and…

Artificial Intelligence · Computer Science 2023-11-22 Ning Xu , Yifei Gao , Hongshuo Tian , Yongdong Zhang , An-An Liu

Learning the structure of Bayesian networks and causal relationships from observations is a common goal in several areas of science and technology. We show that the prequential minimum description length principle (MDL) can be used to…

Machine Learning · Computer Science 2021-07-13 Jorg Bornschein , Silvia Chiappa , Alan Malek , Rosemary Nan Ke

Causal effect estimation from observational data is a challenging problem, especially with high dimensional data and in the presence of unobserved variables. The available data-driven methods for tackling the problem either provide an…

Methodology · Statistics 2022-07-25 Debo Cheng , Jiuyong Li , Lin Liu , Jiji Zhang , Jixue Liu , Thuc Duy Le

Unobserved confounding is a fundamental challenge for estimating causal effects. To address unobserved confounding, recent literature has turned to two different approaches -- proxy variables and the use of multiple treatments. The first…

Methodology · Statistics 2026-05-20 Aytijhya Saha , Stephen Bates , Devavrat Shah

This paper proposes a causal inference relation and causal programming as general frameworks for causal inference with structural causal models. A tuple, $\langle M, I, Q, F \rangle$, is an instance of the relation if a formula, $F$,…

Methodology · Statistics 2018-05-08 Joshua Brulé

Determining causal relationship between high dimensional observations are among the most important tasks in scientific discoveries. In this paper, we revisited the \emph{linear trace method}, a technique proposed…

Machine Learning · Computer Science 2023-03-15 Arun Jambulapati , Hilaf Hasson , Youngsuk Park , Yuyang Wang

An important goal common to domain adaptation and causal inference is to make accurate predictions when the distributions for the source (or training) domain(s) and target (or test) domain(s) differ. In many cases, these different…

Machine Learning · Computer Science 2022-08-31 Sara Magliacane , Thijs van Ommen , Tom Claassen , Stephan Bongers , Philip Versteeg , Joris M. Mooij

It is commonplace to encounter heterogeneous or nonstationary data, of which the underlying generating process changes across domains or over time. Such a distribution shift feature presents both challenges and opportunities for causal…

Machine Learning · Computer Science 2020-06-26 Biwei Huang , Kun Zhang , Jiji Zhang , Joseph Ramsey , Ruben Sanchez-Romero , Clark Glymour , Bernhard Schölkopf

With the increasing need of personalised decision making, such as personalised medicine and online recommendations, a growing attention has been paid to the discovery of the context and heterogeneity of causal relationships. Most existing…

Artificial Intelligence · Computer Science 2018-08-21 Saisai Ma , Jiuyong Li , Lin Liu , Thuc Duy Le

Causal investigations in observational studies pose a great challenge in research where randomized trials or intervention-based studies are not feasible. We develop an information geometric causal discovery and inference framework of…

Methodology · Statistics 2023-11-08 Soumik Purkayastha , Peter X. K. Song

Applying machine learning in the health care domain has shown promising results in recent years. Interpretable outputs from learning algorithms are desirable for decision making by health care personnel. In this work, we explore the…

Machine Learning · Computer Science 2017-11-30 Marcus Klasson , Kun Zhang , Bo C. Bertilson , Cheng Zhang , Hedvig Kjellström

The machine learning community has recently devoted much attention to the problem of inferring causal relationships from statistical data. Most of this work has focused on uncovering connections among scalar random variables. We generalize…

Machine Learning · Statistics 2012-07-10 Doris Entner , Patrik O. Hoyer
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