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A lattice-theoretic framework is introduced that permits the study of the conditional independence (CI) implication problem relative to the class of discrete probability measures. Semi-lattices are associated with CI statements and a…

Artificial Intelligence · Computer Science 2014-08-12 Mathias Niepert , Dirk Van Gucht , Marc Gyssens

A lattice-theoretic framework is introduced that permits the study of the conditional independence (CI) implication problem relative to the class of discrete probability measures. Semi-lattices are associated with CI statements and a…

Artificial Intelligence · Computer Science 2008-11-03 Mathias Niepert , Dirk Van Gucht , Marc Gyssens

In unsupervised ensemble learning, one obtains predictions from multiple sources or classifiers, yet without knowing the reliability and expertise of each source, and with no labeled data to assess it. The task is to combine these possibly…

Machine Learning · Computer Science 2016-02-24 Ariel Jaffe , Ethan Fetaya , Boaz Nadler , Tingting Jiang , Yuval Kluger

An ordinal view of independence is studied in the framework of possibility theory. We investigate three possible definitions of dependence, of increasing strength. One of them is the counterpart to the multiplication law in probability…

Artificial Intelligence · Computer Science 2013-02-28 Didier Dubois , Luis Farinas del Cerro , Andreas Herzig , Henri Prade

We introduce a nonresponse mechanism for multivariate missing data in which each study variable and its nonresponse indicator are conditionally independent given the remaining variables and their nonresponse indicators. This is a…

Methodology · Statistics 2016-09-05 Mauricio Sadinle , Jerome P. Reiter

Impartial selection problems are concerned with the selection of one or more agents from a set based on mutual nominations from within the set. To avoid strategic nominations of the agents, the axiom of impartiality requires that the…

Computer Science and Game Theory · Computer Science 2024-10-01 Javier Cembrano , Max Klimm , Arturo Merino

We present a variant of ATL with distributed knowledge operators based on a synchronous and perfect recall semantics. The coalition modalities in this logic are based on partial observation of the full history, and incorporate a form of…

Logic in Computer Science · Computer Science 2010-08-11 Cătălin Dima , Constantin Enea , Dimitar Guelev

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

We propose a method for feature selection that employs kernel-based measures of independence to find a subset of covariates that is maximally predictive of the response. Building on past work in kernel dimension reduction, we show how to…

Machine Learning · Statistics 2018-10-23 Jianbo Chen , Mitchell Stern , Martin J. Wainwright , Michael I. Jordan

In order to reduce the cost of experimental evaluation for agents, we introduce a computational theory of evaluation for mini agents: build evaluation model to accelerate the evaluation procedures. We prove upper bounds of generalized error…

Artificial Intelligence · Computer Science 2025-05-19 Hedong Yan

While a large body of work has scrutinized the meaning of conditional sentences, considerably less attention has been paid to formal models of their pragmatic use and interpretation. Here, we take a probabilistic approach to pragmatic…

Computation and Language · Computer Science 2022-10-14 Britta Grusdt , Daniel Lassiter , Michael Franke

Logics for reasoning about knowledge and actions have seen many applications in various domains of multi-agent systems, including epistemic planning. Change of knowledge based on observations about the surroundings forms a key aspect in…

Artificial Intelligence · Computer Science 2025-08-14 Avijeet Ghosh , Sujata Ghosh , François Schwarzentruber

Most existing work on automated fact checking is concerned with predicting the veracity of claims based on metadata, social network spread, language used in claims, and, more recently, evidence supporting or denying claims. A crucial piece…

Computation and Language · Computer Science 2020-04-14 Pepa Atanasova , Jakob Grue Simonsen , Christina Lioma , Isabelle Augenstein

Language models (LMs) can perform complex reasoning either end-to-end, with hidden latent state, or compositionally, with transparent intermediate state. Composition offers benefits for interpretability and safety, but may need workflow…

Computation and Language · Computer Science 2023-01-06 Justin Reppert , Ben Rachbach , Charlie George , Luke Stebbing , Jungwon Byun , Maggie Appleton , Andreas Stuhlmüller

Predictive models are being increasingly used to support consequential decision making at the individual level in contexts such as pretrial bail and loan approval. As a result, there is increasing social and legal pressure to provide…

Machine Learning · Computer Science 2020-03-02 Amir-Hossein Karimi , Gilles Barthe , Borja Balle , Isabel Valera

We study batched bandit experiments and consider the problem of inference conditional on the realized stopping time, assignment probabilities, and target parameter, where all of these may be chosen adaptively using information up to the…

Methodology · Statistics 2026-01-21 Jiafeng Chen , Isaiah Andrews

Testing (conditional) independence of multivariate random variables is a task central to statistical inference and modelling in general - though unfortunately one for which to date there does not exist a practicable workflow. State-of-art…

Machine Learning · Statistics 2018-05-01 Samuel Burkart , Franz J Király

Conditional independence (CI) tests underlie many approaches to model testing and structure learning in causal inference. Most existing CI tests for categorical and ordinal data stratify the sample by the conditioning variables, perform…

Machine Learning · Statistics 2023-07-06 Ankur Ankan , Johannes Textor

Learning causal relations from observational data is a fundamental problem with wide-ranging applications across many fields. Constraint-based methods infer the underlying causal structure by performing conditional independence tests.…

Machine Learning · Computer Science 2026-03-24 Marc Franquesa Monés , Jiaqi Zhang , Caroline Uhler

Recent research on model interpretability in natural language processing extensively uses feature scoring methods for identifying which parts of the input are the most important for a model to make a prediction (i.e. explanation or…

Computation and Language · Computer Science 2021-12-07 George Chrysostomou , Nikolaos Aletras