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Several approaches to causal inference from observational studies have been proposed. Since the proposal of Rubin (1974) many works have developed a counterfactual approach to causality, statistically formalized by potential outcomes. Pearl…

Methodology · Statistics 2019-05-06 Daniel Commenges

Persi Diaconis was born in New York on January 31, 1945. Upon receiving a Ph.D. from Harvard in 1974 he was appointed Assistant Professor at Stanford. Following periods as Professor at Harvard (1987-1997) and Cornell (1996-1998), he has…

Methodology · Statistics 2013-06-14 David Aldous

The traditional calculus-based introduction to statistical inference consists of a semester of probability followed by a semester of frequentist inference. Cobb (2015) challenges the statistical education community to rethink the…

Other Statistics · Statistics 2020-07-09 Jim Albert

This is the English version of my inaugural lecture at Coll\`ege de France in 2021, available at https://www.youtube.com/watch?v=bxktplKMhKU. I reflect on the difficulty of multi-disciplinary research, which often hinges of unexpected…

Physics and Society · Physics 2023-08-08 Jean-Philippe Bouchaud

We present a sound and complete algorithm, called iterative causal discovery (ICD), for recovering causal graphs in the presence of latent confounders and selection bias. ICD relies on the causal Markov and faithfulness assumptions and…

Machine Learning · Computer Science 2022-01-19 Raanan Y. Rohekar , Shami Nisimov , Yaniv Gurwicz , Gal Novik

Decision-makers abhor uncertainty, and it is certainly true that the less there is of it the better. However, recognizing that uncertainty is part of the equation, particularly for deciding on environmental policy, is a prerequisite for…

Methodology · Statistics 2022-09-28 Noel Cressie

Dependency knowledge of the form "x is independent of y once z is known" invariably obeys the four graphoid axioms, examples include probabilistic and database dependencies. Often, such knowledge can be represented efficiently with…

Artificial Intelligence · Computer Science 2013-04-10 Tom S. Verma , Judea Pearl

The first digit (FD) phenomenon i.e., the significant digits of numbers in large data are often distributed according to a logarithmically decreasing function was first reported by S. Newcomb and then many decades later independently by F.…

Physics and Society · Physics 2026-02-03 Tariq Ahmad Mir , Marcel Ausloos

Causal inference, as a major research area in statistics and data science, plays a central role across diverse fields such as medicine, economics, education, and the social sciences. Design-based causal inference begins with randomized…

Methodology · Statistics 2025-12-01 Xin Lu , Wanjia Fu , Hongzi Li , Haoyang Yu , Honghao Zhang , Ke Zhu , Hanzhong Liu

Faithfulness is the foundation of probability distribution and graph in causal discovery and causal inference. In this paper, several unfaithful probability distribution examples are constructed in three--vertices binary causality directed…

Machine Learning · Statistics 2025-01-31 Jingwei Liu

Inferring causal relationships as directed acyclic graphs (DAGs) is an important but challenging problem. Differentiable Causal Discovery (DCD) is a promising approach to this problem, framing the search as a continuous optimization. But…

Machine Learning · Computer Science 2024-06-28 Achille Nazaret , Justin Hong , Elham Azizi , David Blei

Yuan Shih Chow was born in Hubei province in China, on September 1, 1924. The eldest child of a local militia and political leader, he grew up in war and turmoil. His hometown was on the front line during most of the Japanese invasion and…

Statistics Theory · Mathematics 2007-06-13 Zhiliang Ying , Cun-Hui Zhang

Deep learning (DL) has gained much attention and become increasingly popular in modern data science. Computer scientists led the way in developing deep learning techniques, so the ideas and perspectives can seem alien to statisticians.…

Machine Learning · Statistics 2021-02-05 G. Jogesh Babu , David Banks , Hyunsoon Cho , David Han , Hailin Sang , Shouyi Wang

Causal discovery is crucial for causal inference in observational studies, as it can enable the identification of valid adjustment sets (VAS) for unbiased effect estimation. However, global causal discovery is notoriously hard in the…

Machine Learning · Statistics 2024-06-04 Jacqueline Maasch , Weishen Pan , Shantanu Gupta , Volodymyr Kuleshov , Kyra Gan , Fei Wang

In studies of discrimination, researchers often seek to estimate a causal effect of race or gender on outcomes. For example, in the criminal justice context, one might ask whether arrested individuals would have been subsequently charged or…

Methodology · Statistics 2022-04-06 Johann Gaebler , William Cai , Guillaume Basse , Ravi Shroff , Sharad Goel , Jennifer Hill

Bayesian networks provide a powerful tool for reasoning about probabilistic causation, used in many areas of science. They are, however, intrinsically classical. In particular, Bayesian networks naturally yield the Bell inequalities.…

Quantum Physics · Physics 2014-12-03 Joe Henson , Raymond Lal , Matthew F. Pusey

This article presents a modern deterministic framework for the study of leading significant digit distributions in numerical data. Rather than relying on traditional probabilistic or mixture-based explanations, we demonstrate that the…

Machine Learning · Statistics 2025-08-20 Vladimir Berman

We derive the asymptotic distribution of the domination number of a new family of random digraph called proximity catch digraph (PCD), which has application to statistical testing of spatial point patterns and to pattern recognition. The…

Combinatorics · Mathematics 2008-02-06 E. Ceyhan , C. E. Priebe

Dyadic research designs concern data that comprises interactions among actors. Dyadic approaches unambiguously constitute the most frequent designs employed in the empirical study of international politics, but what do such designs cary…

Methodology · Statistics 2015-12-03 Skyler J. Cranmer , Bruce A. Desmarais

An acyclic causal structure can be described with directed acyclic graph (DAG), where arrows indicate the possibility of direct causation. The task of learning this structure from data is known as "causal discovery." Diverse populations or…

Machine Learning · Computer Science 2024-10-17 Bijan Mazaheri , Spencer Gordon , Yuval Rabani , Leonard Schulman