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Bayesian probability theory is one of the most successful frameworks to model reasoning under uncertainty. Its defining property is the interpretation of probabilities as degrees of belief in propositions about the state of the world…

人工智能 · 计算机科学 2015-04-27 Pedro A. Ortega

It has been a long time issue in statistical physics how to combine reversible microscopic equations with irreversible macroscopic behavior. Recently, Evans and Searles have suggested causality as the key concept for a solution to the…

统计力学 · 物理学 2007-05-23 W. Pietsch

We present a basis for studying questions of cause and effect in statistics which subsumes and reconciles the models proposed by Pearl, Robins, Rubin and others, and which, as far as mathematical notions and notation are concerned, is…

统计理论 · 数学 2023-04-18 José A. Ferreira

When designing or analyzing multi-agent systems, a fundamental problem is responsibility ascription: to specify which agents are responsible for the joint outcome of their behaviors and to which extent. We model strategic multi-agent…

计算机科学与博弈论 · 计算机科学 2021-05-20 Christel Baier , Florian Funke , Rupak Majumdar

We describe the interface between measure theoretic probability and causal inference by constructing causal models on probability spaces within the potential outcomes framework. We find that measure theory provides a precise and instructive…

统计理论 · 数学 2019-07-04 Irineo Cabreros , John D. Storey

Causality is a subject of philosophical debate and a central scientific issue with a long history. In the statistical domain, the study of cause and effect based on the notion of `fairness' in comparisons dates back several hundred years,…

其他统计学 · 统计学 2022-04-06 Erica EM Moodie , David A Stephens

Causality is receiving increasing attention in the Recommendation Systems (RSs) community, which has realised that RSs could greatly benefit from causality to transform accurate predictions into effective and explainable decisions. Indeed,…

信息检索 · 计算机科学 2024-10-04 Emanuele Cavenaghi , Alessio Zanga , Fabio Stella , Markus Zanker

While probabilistic models describe the dependence structure between observed variables, causal models go one step further: they predict, for example, how cognitive functions are affected by external interventions that perturb neuronal…

神经元与认知 · 定量生物学 2021-04-12 Sebastian Weichwald , Jonas Peters

The goal of causal inference is to understand the outcome of alternative courses of action. However, all causal inference requires assumptions. Such assumptions can be more influential than in typical tasks for probabilistic modeling, and…

统计方法学 · 统计学 2016-10-31 Dustin Tran , Francisco J. R. Ruiz , Susan Athey , David M. Blei

Causality has been often confused with the notion of determinism. It is mandatory to separate the two notions in view of the debate about quantum foundations. Quantum theory provides an example of causal not-deterministic theory. Here we…

量子物理 · 物理学 2015-01-15 Giacomo M. D'Ariano , Franco Manessi , Paolo Perinotti

This paper proposes a formal framework for modeling the interaction of causal and (qualitative) epistemic reasoning. To this purpose, we extend the notion of a causal model with a representation of the epistemic state of an agent. On the…

人工智能 · 计算机科学 2020-11-02 Fausto Barbero , Katrin Schulz , Sonja Smets , Fernando R. Velázquez-Quesada , Kaibo Xie

Accountability is the property of a system that enables the uncovering of causes for events and helps understand who or what is responsible for these events. Definitions and interpretations of accountability differ; however, they are…

软件工程 · 计算机科学 2018-10-24 Severin Kacianka , Alexander Pretschner

Understanding how much each variable contributes to an outcome is a central question across disciplines. A causal view of explainability is favorable for its ability in uncovering underlying mechanisms and generalizing to new contexts.…

统计方法学 · 统计学 2026-03-09 Weihan Zhang , Zijun Gao

This paper discusses different needs and approaches to establishing ``causation'' that are relevant in legal cases involving statistical input based on epidemiological (or more generally observational or population-based) information. We…

统计方法学 · 统计学 2009-09-29 K. Mengersen , S. A. Moynihan , R. L. Tweedie

In a causal world the direction of the time arrow dictates how past causal events in a variable $X$ produce future effects in $Y$. $X$ is said to cause an effect in $Y$, if the predictability (uncertainty) about the future states of $Y$…

混沌动力学 · 物理学 2018-07-24 Ezequiel Bianco-Martinez , Murilo S. Baptista

State-of-the-art AI models largely lack an understanding of the cause-effect relationship that governs human understanding of the real world. Consequently, these models do not generalize to unseen data, often produce unfair results, and are…

We describe recent research on the use of actual causality in the definition of responsibility scores as explanations for query answers in databases, and for outcomes from classification models in machine learning. In the case of databases,…

数据库 · 计算机科学 2023-08-02 Leopoldo Bertossi

Recently, Halpern and Leung suggested representing uncertainty by a weighted set of probability measures, and suggested a way of making decisions based on this representation of uncertainty: maximizing weighted regret. Their paper does not…

人工智能 · 计算机科学 2013-09-06 Joseph Y. Halpern

The notion of actual causation, as formalized by Halpern and Pearl, has been recently applied to relational databases, to characterize and compute actual causes for possibly unexpected answers to monotone queries. Causes take the form of…

数据库 · 计算机科学 2016-04-26 Babak Salimi , Leopoldo Bertossi , Dan Suciu , Guy Van den Broeck

The concept of causal nonseparability has been recently introduced, in opposition to that of causal separability, to qualify physical processes that locally abide by the laws of quantum theory, but cannot be embedded in a well-defined…

量子物理 · 物理学 2019-02-04 Julian Wechs , Alastair A. Abbott , Cyril Branciard