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Experiments are the gold standard for causal inference. In many applications, experimental units can often be recruited or chosen sequentially, and the adaptive execution of such experiments may offer greatly improved inference of causal…

Methodology · Statistics 2023-06-14 Difan Song , Simon Mak , C. F. Jeff Wu

We pose causal inference as the problem of learning to classify probability distributions. In particular, we assume access to a collection $\{(S_i,l_i)\}_{i=1}^n$, where each $S_i$ is a sample drawn from the probability distribution of $X_i…

Machine Learning · Statistics 2015-05-20 David Lopez-Paz , Krikamol Muandet , Bernhard Schölkopf , Ilya Tolstikhin

This paper introduces a new framework for recovering causal graphs from observational data, leveraging the observation that the distribution of an effect, conditioned on its causes, remains invariant to changes in the prior distribution of…

Machine Learning · Computer Science 2026-02-04 Nang Hung Nguyen , Phi Le Nguyen , Thao Nguyen Truong , Trong Nghia Hoang , Masashi Sugiyama

Causal inference methods for observational data are highly regarded due to their wide applicability. While there are already numerous methods available for de-confounding bias, these methods generally assume that covariates consist solely…

Methodology · Statistics 2024-04-30 Yonghe Zhao , Huiyan Sun

If $X,Y,Z$ denote sets of random variables, two different data sources may contain samples from $P_{X,Y}$ and $P_{Y,Z}$, respectively. We argue that causal inference can help inferring properties of the 'unobserved joint distributions'…

Statistics Theory · Mathematics 2018-05-18 Dominik Janzing

Attribution modelling lies at the heart of marketing effectiveness, yet most existing approaches depend on user-level path data, which are increasingly inaccessible due to privacy regulations and platform restrictions. This paper introduces…

Machine Learning · Statistics 2025-12-25 Georgios Filippou , Boi Mai Quach , Diana Lenghel , Arthur White , Ashish Kumar Jha

Collaborative learning techniques have significantly advanced in recent years, enabling private model training across multiple organizations. Despite this opportunity, firms face a dilemma when considering data sharing with competitors --…

Machine Learning · Computer Science 2023-10-31 Nikita Tsoy , Nikola Konstantinov

Federated learning is an emerging decentralized machine learning scheme that allows multiple data owners to work collaboratively while ensuring data privacy. The success of federated learning depends largely on the participation of data…

Machine Learning · Computer Science 2022-09-19 Zhenan Fan , Huang Fang , Zirui Zhou , Jian Pei , Michael P. Friedlander , Changxin Liu , Yong Zhang

Causal graphs (CGs) are compact representations of the knowledge of the data generating processes behind the data distributions. When a CG is available, e.g., from the domain knowledge, we can infer the conditional independence (CI)…

Machine Learning · Computer Science 2021-08-18 Takeshi Teshima , Masashi Sugiyama

Federated learning is a setting where agents, each with access to their own data source, combine models from local data to create a global model. If agents are drawing their data from different distributions, though, federated learning…

Computer Science and Game Theory · Computer Science 2020-12-18 Kate Donahue , Jon Kleinberg

We consider a distributed learning setting where each agent/learner holds a specific parametric model and data source. The goal is to integrate information across a set of learners to enhance the prediction accuracy of a given learner. A…

Methodology · Statistics 2021-09-21 Jiaying Zhou , Jie Ding , Kean Ming Tan , Vahid Tarokh

Causal structure learning with data from multiple contexts carries both opportunities and challenges. Opportunities arise from considering shared and context-specific causal graphs enabling to generalize and transfer causal knowledge across…

Machine Learning · Computer Science 2024-10-29 Martin Rabel , Wiebke Günther , Jakob Runge , Andreas Gerhardus

Clustered data are common in biomedical research. Observations in the same cluster are often more similar to each other than to observations from other clusters. The intraclass correlation coefficient (ICC), first introduced by R. A.…

Methodology · Statistics 2024-02-20 Shengxin Tu , Chun Li , Donglin Zeng , Bryan E. Shepherd

Information sharing among organizations has been gaining attention as a method for improving cybersecurity. However, the associated disclosure costs act as deterrents for firms' voluntary cooperation. In this work, we take a game-theoretic…

Computer Science and Game Theory · Computer Science 2020-01-20 Parinaz Naghizadeh , Mingyan Liu

Methods for inferring average causal effects have traditionally relied on two key assumptions: (i) the intervention received by one unit cannot causally influence the outcome of another; and (ii) units can be organized into non-overlapping…

Methodology · Statistics 2019-08-23 Eric J. Tchetgen Tchetgen , Isabel Fulcher , Ilya Shpitser

We consider the problem of learning causal information between random variables in directed acyclic graphs (DAGs) when allowing arbitrarily many latent and selection variables. The FCI (Fast Causal Inference) algorithm has been explicitly…

Methodology · Statistics 2012-05-30 Diego Colombo , Marloes H. Maathuis , Markus Kalisch , Thomas S. Richardson

Supervised causal learning has shown promise in causal discovery, yet it often struggles with generalization across diverse interventional settings, particularly when intervention targets are unknown. To address this, we propose TICL…

Machine Learning · Computer Science 2026-02-24 Wei Chen , Rui Ding , Bojun Huang , Yang Zhang , Qiang Fu , Yuxuan Liang , Han Shi , Dongmei Zhang

Causal discovery and causal effect estimation are two fundamental tasks in causal inference. While many methods have been developed for each task individually, statistical challenges arise when applying these methods jointly: estimating…

Methodology · Statistics 2024-08-21 Paula Gradu , Tijana Zrnic , Yixin Wang , Michael I. Jordan

Contemporary scientific research is a distributed, collaborative endeavor, carried out by teams of researchers, regulatory institutions, funding agencies, commercial partners, and scientific bodies, all interacting with each other and…

Methodology · Statistics 2024-02-09 Stephen Bates , Michael I. Jordan , Michael Sklar , Jake A. Soloff

Many fields collect large-scale temporal data through repeated measurements (trials), where each trial is labeled with a set of metadata variables spanning several categories. For example, a trial in a neuroscience study may be linked to a…

Machine Learning · Computer Science 2026-02-05 Noga Mudrik , Yuxi Chen , Gal Mishne , Adam S. Charles
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