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Bipartite experiments are a recent object of study in causal inference, whereby treatment is applied to one set of units and outcomes of interest are measured on a different set of units. These experiments are particularly useful in…

Fisherian randomization inference is often dismissed as testing an uninteresting and implausible hypothesis: the sharp null of no effects whatsoever. We show that this view is overly narrow. Many randomization tests are also valid under a…

Methodology · Statistics 2017-09-22 Devin Caughey , Allan Dafoe , Luke Miratrix

Inverse problems in statistical physics are motivated by the challenges of `big data' in different fields, in particular high-throughput experiments in biology. In inverse problems, the usual procedure of statistical physics needs to be…

Disordered Systems and Neural Networks · Physics 2017-11-07 H. Chau Nguyen , Riccardo Zecchina , Johannes Berg

I study statistical discrimination driven by verifiable beliefs, such as those generated by machine learning, rather than by humans. When beliefs are verifiable, interventions against statistical discrimination can move beyond simple,…

Theoretical Economics · Economics 2025-06-23 John Y. Zhu

To many statisticians and citizens, the outcome of the most recent U.S. presidential election represents a failure of data-driven methods on the grandest scale. This impression has led to much debate and discussion about how the election…

Other Statistics · Statistics 2017-04-06 Harry Crane , Ryan Martin

Various research initiatives try to utilize the operational principles of organisms and brains to develop alternative, biologically inspired computing paradigms and artificial cognitive systems. This paper reviews key features of the…

Adaptation and Self-Organizing Systems · Physics 2012-01-25 Andreas Schierwagen

Real-world observational datasets and machine learning have revolutionized data-driven decision-making, yet many models rely on empirical associations that may be misleading due to confounding and subgroup heterogeneity. Simpson's paradox…

Machine Learning · Computer Science 2026-03-03 Xian Teng , Yu-Ru Lin

Modern science increasingly relies on ever-growing observational datasets and automated inference pipelines, under the implicit belief that accumulating more data makes scientific conclusions more reliable. Here we show that this belief can…

Machine Learning · Computer Science 2026-02-06 Zhipeng Zhang , Kai Li

Propensity Score Matching (PSM) stands as a widely embraced method in comparative effectiveness research. PSM crafts matched datasets, mimicking some attributes of randomized designs, from observational data. In a valid PSM design where all…

Methodology · Statistics 2024-11-15 Fei Wan

Many causal and structural effects depend on regressions. Examples include policy effects, average derivatives, regression decompositions, average treatment effects, causal mediation, and parameters of economic structural models. The…

Statistics Theory · Mathematics 2022-10-25 Victor Chernozhukov , Whitney K Newey , Rahul Singh

When using complex Bayesian models to combine information, the checking for consistency of the information being combined is good statistical practice. Here a new method is developed for detecting prior-data conflicts in Bayesian models…

Methodology · Statistics 2016-11-29 David J. Nott , Xueou Wang , Michael Evans , Berthold-Georg Englert

When an analyst or scientist has a belief about how the world works, their thinking can be biased in favor of that belief. Therefore, one bedrock principle of science is to minimize that bias by testing the predictions of one's belief…

Human-Computer Interaction · Computer Science 2022-08-10 Cindy Xiong , Chase Stokes , Yea-Seul Kim , Steven Franconeri

Counterfactual (CF) explanations have been employed as one of the modes of explainability in explainable AI-both to increase the transparency of AI systems and to provide recourse. Cognitive science and psychology, however, have pointed out…

Artificial Intelligence · Computer Science 2022-12-14 Marko Tesic , Ulrike Hahn

The streams of research on adversarial examples and counterfactual explanations have largely been growing independently. This has led to several recent works trying to elucidate their similarities and differences. Most prominently, it has…

Machine Learning · Computer Science 2024-03-18 Tobias Leemann , Martin Pawelczyk , Bardh Prenkaj , Gjergji Kasneci

The finite sensitivity of instruments or detection methods means that data sets in many areas of astronomy, for example cosmological or exoplanet surveys, are necessarily systematically incomplete. Such data sets, where the population being…

Instrumentation and Methods for Astrophysics · Physics 2020-10-14 Adam B. Mantz

Probabilistic logic programs are logic programs where some facts hold with a specified probability. Here, we investigate these programs with a causal framework that allows counterfactual queries. Learning the program structure from…

Logic in Computer Science · Computer Science 2023-08-31 Kilian Rückschloß , Felix Weitkämper

In reverse mathematics, is is possible to have a curious situation where we know that an implication does not reverse, but appear to have no information on on how to weaken the assumption while preserving the conclusion. A main cause of…

Logic · Mathematics 2012-12-03 Henry Towsner

Attempts to replicate probabilistic reasoning in expert systems have typically overlooked a critical ingredient of that process. Probabilistic analysis typically requires extensive judgments regarding interdependencies among hypotheses and…

Artificial Intelligence · Computer Science 2013-04-15 Marvin S. Cohen

The belief bias effect is a phenomenon which occurs when we think that we judge an argument based on our reasoning, but are actually influenced by our beliefs and prior knowledge. Evans, Barston and Pollard carried out a psychological…

Artificial Intelligence · Computer Science 2020-02-19 Luís Moniz Pereira , Emmanuelle-Anna Dietz , Steffen Hölldobler

We examine counterfactual explanations for explaining the decisions made by model-based AI systems. The counterfactual approach we consider defines an explanation as a set of the system's data inputs that causally drives the decision (i.e.,…

Machine Learning · Computer Science 2021-10-14 Carlos Fernández-Loría , Foster Provost , Xintian Han