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We provide explicit, finite-sample guarantees for learning causal representations from data with a sublinear number of environments. Causal representation learning seeks to provide a rigourous foundation for the general representation…

Machine Learning · Statistics 2026-03-30 Inbeom Lee , Tongtong Jin , Bryon Aragam

The standard approach to answering an identifiable causal-effect query (e.g., $P(Y|do(X)$) when given a causal diagram and observational data is to first generate an estimand, or probabilistic expression over the observable variables, which…

Artificial Intelligence · Computer Science 2024-08-28 Anna Raichev , Alexander Ihler , Jin Tian , Rina Dechter

The principle of independent causal mechanisms (ICM) states that generative processes of real world data consist of independent modules which do not influence or inform each other. While this idea has led to fruitful developments in the…

Computation and Language · Computer Science 2021-10-20 Zhijing Jin , Julius von Kügelgen , Jingwei Ni , Tejas Vaidhya , Ayush Kaushal , Mrinmaya Sachan , Bernhard Schölkopf

The assumption that data samples are independent and identically distributed (iid) is standard in many areas of statistics and machine learning. Nevertheless, in some settings, such as social networks, infectious disease modeling, and…

Methodology · Statistics 2019-02-06 Eli Sherman , Ilya Shpitser

Learning the structure of causal directed acyclic graphs (DAGs) is useful in many areas of machine learning and artificial intelligence, with wide applications. However, in the high-dimensional setting, it is challenging to obtain good…

Machine Learning · Statistics 2024-05-27 Stephen Smith , Qing Zhou

In online advertising, marketing mix modeling (MMM) is employed to predict the gross merchandise volume (GMV) of brand shops and help decision-makers to adjust the budget allocation of various advertising channels. Traditional MMM methods…

Artificial Intelligence · Computer Science 2024-06-25 Chang Gong , Di Yao , Lei Zhang , Sheng Chen , Wenbin Li , Yueyang Su , Jingping Bi

Causal discovery is at the core of human cognition. It enables us to reason about the environment and make counterfactual predictions about unseen scenarios that can vastly differ from our previous experiences. We consider the task of…

Machine Learning · Computer Science 2020-12-01 Yunzhu Li , Antonio Torralba , Animashree Anandkumar , Dieter Fox , Animesh Garg

Causal machine learning (ML) recovers graphical structures that inform us about potential cause-and-effect relationships. Most progress has focused on cross-sectional data with no explicit time order, whereas recovering causal structures…

Machine Learning · Computer Science 2026-05-11 Bruno Petrungaro , Anthony C. Constantinou

Effective causal discovery is essential for learning the causal graph from observational data. The linear non-Gaussian acyclic model (LiNGAM) operates under the assumption of a linear data generating process with non-Gaussian noise in…

Machine Learning · Computer Science 2025-02-28 Hans Jarett J. Ong , Brian Godwin S. Lim , Renzo Roel P. Tan , Kazushi Ikeda

Discovering causal relationships from observational data, particularly in the presence of latent variables, poses a challenging problem. While current local structure learning methods have proven effective and efficient when the focus lies…

Machine Learning · Computer Science 2024-06-07 Feng Xie , Zheng Li , Peng Wu , Yan Zeng , Chunchen Liu , Zhi Geng

Classical machine learning techniques often struggle with overfitting and unreliable predictions when exposed to novel conditions. Introducing causality into the modelling process offers a promising way to mitigate these challenges by…

Computational Engineering, Finance, and Science · Computer Science 2025-05-28 David Zapata Gonzalez , Marcel Meyer , Oliver Mueller

One of the central elements of any causal inference is an object called structural causal model (SCM), which represents a collection of mechanisms and exogenous sources of random variation of the system under investigation (Pearl, 2000). An…

Machine Learning · Computer Science 2022-10-05 Kevin Xia , Kai-Zhan Lee , Yoshua Bengio , Elias Bareinboim

Contagion processes have been proven to fundamentally depend on the structural properties of the interaction networks conveying them. Many real networked systems are characterized by clustered substructures representing either collections…

Physics and Society · Physics 2021-06-01 Giulio Burgio , Alex Arenas , Sergio Gómez , Joan T. Matamalas

Learning domain-invariant semantic representations is crucial for achieving domain generalization (DG), where a model is required to perform well on unseen target domains. One critical challenge is that standard training often results in…

Computer Vision and Pattern Recognition · Computer Science 2024-03-14 Liang Chen , Yong Zhang , Yibing Song , Zhen Zhang , Lingqiao Liu

An important question in statistical network analysis is how to estimate models of discrete and dependent network data with intractable likelihood functions, without sacrificing computational scalability and statistical guarantees. We…

Statistics Theory · Mathematics 2026-03-06 Jonathan R. Stewart , Michael Schweinberger

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 contrast to problems of interference in (exogenous) treatments, models of interference in unit-specific (endogenous) outcomes do not usually produce a reduced-form representation where outcomes depend on other units' treatment status…

Econometrics · Economics 2025-06-17 Konrad Menzel

This work addresses the following question: Under what assumptions on the data generating process can one infer the causal graph from the joint distribution? The approach taken by conditional independence-based causal discovery methods is…

Machine Learning · Computer Science 2012-02-20 Jonas Peters , Joris Mooij , Dominik Janzing , Bernhard Schoelkopf

The task of Few-shot learning (FSL) aims to transfer the knowledge learned from base categories with sufficient labelled data to novel categories with scarce known information. It is currently an important research question and has great…

Computer Vision and Pattern Recognition · Computer Science 2022-11-30 Chengming Xu , Chen Liu , Xinwei Sun , Siqian Yang , Yabiao Wang , Chengjie Wang , Yanwei Fu

Causal structure learning (CSL) refers to the task of learning causal relationships from data. Advances in CSL now allow learning of causal graphs in diverse application domains, which has the potential to facilitate data-driven causal…

Machine Learning · Statistics 2024-07-09 Luka Kovačević , Izzy Newsham , Sach Mukherjee , John Whittaker