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Uncertainty estimation is important for ensuring safety and robustness of AI systems. While most research in the area has focused on un-structured prediction tasks, limited work has investigated general uncertainty estimation approaches for…

Machine Learning · Statistics 2021-02-12 Andrey Malinin , Mark Gales

We present a semantics for adding uncertainty to conditional logics for default reasoning and belief revision. We are able to treat conditional sentences as statements of conditional probability, and express rules for revision such as "If A…

Artificial Intelligence · Computer Science 2013-03-08 Craig Boutilier

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

This paper investigates a representation language with flexibility inspired by probabilistic logic and compactness inspired by relational Bayesian networks. The goal is to handle propositional and first-order constructs together with…

Artificial Intelligence · Computer Science 2012-07-19 Fabio Gagliardi Cozman , Cassio Polpo de Campos , Jaime Ide , Jose Carlos Ferreira da Rocha

Explainable Artificial Intelligence and Formal Argumentation have received significant attention in recent years. Argumentation-based systems often lack explainability while supporting decision-making processes. Counterfactual and…

Artificial Intelligence · Computer Science 2024-05-08 Gianvincenzo Alfano , Sergio Greco , Francesco Parisi , Irina Trubitsyna

In this paper, we consider the problem of making skeptical inferences for the multi-label ranking problem. We assume that our uncertainty is described by a convex set of probabilities (i.e. a credal set), defined over the set of labels.…

Machine Learning · Statistics 2022-10-18 Yonatan Carlos Carranza Alarcón , Vu-Linh Nguyen

Bipolar Argumentation Frameworks (BAFs) admit several interpretations of the support relation and diverging definitions of semantics. Recently, several classes of BAFs have been captured as instances of bipolar Assumption-Based…

Artificial Intelligence · Computer Science 2021-01-19 Amin Karamlou , Kristijonas Čyras , Francesca Toni

We use the law of total variance to generate multiple expansions for the posterior predictive variance. These expansions are sums of terms involving conditional expectations and conditional variances and provide a quantification of the…

Statistics Theory · Mathematics 2026-03-23 Sanjay Chaudhuri , Dean Dustin , Bertrand Clarke

Gradual semantics with abstract argumentation provide each argument with a score reflecting its acceptability, i.e. how "much" it is attacked by other arguments. Many different gradual semantics have been proposed in the literature, each…

Artificial Intelligence · Computer Science 2022-02-02 Nir Oren , Bruno Yun , Srdjan Vesic , Murilo Baptista

In computational argumentation, gradual semantics are fine-grained alternatives to extension-based and labelling-based semantics . They ascribe a dialectical strength to (components of) arguments sanctioning their degree of acceptability.…

Artificial Intelligence · Computer Science 2025-08-04 Anna Rapberger , Fabrizio Russo , Antonio Rago , Francesca Toni

This article explains, and discusses the merits of, three approaches for analyzing the certainty with which statistical results can be extrapolated beyond the data gathered. Sometimes it may be possible to use more than one of these…

Methodology · Statistics 2016-10-03 Michael Wood

This paper presents and discusses several methods for reasoning from inconsistent knowledge bases. A so-called argumentative-consequence relation taking into account the existence of consistent arguments in favor of a conclusion and the…

Artificial Intelligence · Computer Science 2013-03-08 Salem Benferhat , Didier Dubois , Henri Prade

Recent work has discussed the limitations of counterfactual explanations to recommend actions for algorithmic recourse, and argued for the need of taking causal relationships between features into consideration. Unfortunately, in practice,…

Machine Learning · Computer Science 2020-10-26 Amir-Hossein Karimi , Julius von Kügelgen , Bernhard Schölkopf , Isabel Valera

We elicit incomplete preferences over monetary gambles with subjective uncertainty. Subjects rank gambles, and these rankings are used to estimate preferences; payments are based on estimated preferences. About 40\% of subjects express…

General Economics · Economics 2022-10-06 Kirby Nielsen , Luca Rigotti

Probabilistic argumentation allows reasoning about argumentation problems in a way that is well-founded by probability theory. However, in practice, this approach can be severely limited by the fact that probabilities are defined by adding…

Artificial Intelligence · Computer Science 2019-03-07 Nico Potyka

I explore the use of sets of probability measures as a representation of uncertainty.

Artificial Intelligence · Computer Science 2007-05-23 Joseph Y. Halpern

In this paper we consider the inference rules of System P in the framework of coherent imprecise probabilistic assessments. Exploiting our algorithms, we propagate the lower and upper probability bounds associated with the conditional…

Probability · Mathematics 2007-05-23 Angelo Gilio

In this paper we consider the problem of configuring partial predicate abstraction that combines two techniques that have been effective in analyzing infinite-state systems: predicate abstraction and fixpoint approximations. A fundamental…

Logic in Computer Science · Computer Science 2018-01-09 Tuba Yavuz , Chelsea Metcalf

In this paper, we present a general framework for ranking sets of arguments in abstract argumentation based on their plausibility of acceptance. We present a generalisation of Dung's extension semantics as extension-ranking semantics, which…

Artificial Intelligence · Computer Science 2025-05-01 Kenneth Skiba , Tjitze Rienstra , Matthias Thimm , Jesse Heyninck , Gabriele Kern-Isberner

The standard approach to analyzing the asymptotic complexity of probabilistic programs is based on studying the asymptotic growth of certain expected values (such as the expected termination time) for increasing input size. We argue that…

Formal Languages and Automata Theory · Computer Science 2023-07-13 Michal Ajdarów , Antonín Kučera