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Accepting a proposition means that our confidence in this proposition is strictly greater than the confidence in its negation. This paper investigates the subclass of uncertainty measures, expressing confidence, that capture the idea of…

Artificial Intelligence · Computer Science 2013-02-21 Didier Dubois , Henri Prade

We study conditioning on null events, or surprises, and behaviorally characterize the Ordered Surprises (OS) representation of beliefs. For feasible events, our Decision Maker (DM) is Bayesian. For null events, our DM considers a hierarchy…

Theoretical Economics · Economics 2022-08-09 Adam Dominiak , Matthew Kovach , Gerelt Tserenjigmid

In this paper, starting from a generalized coherent (i.e. avoiding uniform loss) intervalvalued probability assessment on a finite family of conditional events, we construct conditional probabilities with quasi additive classes of…

Artificial Intelligence · Computer Science 2012-10-19 Giuseppe Sanfilippo

Counterfactual inference is a powerful tool, capable of solving challenging problems in high-profile sectors. To perform counterfactual inference, one requires knowledge of the underlying causal mechanisms. However, causal mechanisms cannot…

Machine Learning · Computer Science 2023-01-23 Athanasios Vlontzos , Bernhard Kainz , Ciaran M. Gilligan-Lee

Counterfactual explanations are a common approach to providing recourse to data subjects. However, current methodology can produce counterfactuals that cannot be achieved by the subject, making the use of counterfactuals for recourse…

Machine Learning · Computer Science 2024-03-04 Alexander Asemota , Giles Hooker

The impressive performance of recent language models across a wide range of tasks suggests that they possess a degree of abstract reasoning skills. Are these skills general and transferable, or specialized to specific tasks seen during…

Computation and Language · Computer Science 2024-04-01 Zhaofeng Wu , Linlu Qiu , Alexis Ross , Ekin Akyürek , Boyuan Chen , Bailin Wang , Najoung Kim , Jacob Andreas , Yoon Kim

We present a new method for generating confidence sets within the split conformal prediction framework. Our method performs a trainable transformation of any given conformity score to improve conditional coverage while ensuring exact…

Specially customised Entropies are widely applied in measuring the degree of uncertainties existing in the frame of discernment. However, all of these entropies regard the frame as a whole that has already been determined which dose not…

Artificial Intelligence · Computer Science 2021-02-26 Yuanpeng He

Counterfactual reasoning allows us to explore hypothetical scenarios in order to explain the impacts of our decisions. However, addressing such inquires is impossible without establishing the appropriate mathematical framework. In this…

Machine Learning · Computer Science 2025-06-25 Kurt Butler , Marija Iloska , Petar M. Djuric

This paper shows that the problem of testing hypotheses in moment condition models without any assumptions about identification may be considered as a problem of testing with an infinite-dimensional nuisance parameter. We introduce a…

Statistics Theory · Mathematics 2014-09-24 Isaiah Andrews , Anna Mikusheva

In the literature, the question about how to axiomatize the transitive logic of false belief is thought of as hard and left as an open problem. In this paper, among other contributions, we deal with this problem. In more details, although…

Logic · Mathematics 2024-04-12 Jie Fan

There are many nonparametric objects of interest that are a function of a conditional distribution. One important example is an average treatment effect conditional on a subset of covariates. Many of these objects have a conditional…

Statistics Theory · Mathematics 2024-12-25 Victor Chernozhukov , Whitney K. Newey , Vasilis Syrgkanis

In the existing evidential networks with belief functions, the relations among the variables are always represented by joint belief functions on the product space of the involved variables. In this paper, we use conditional belief functions…

Artificial Intelligence · Computer Science 2013-02-28 Hong Xu , Philippe Smets

Conformal predictors are set predictors that are automatically valid in the sense of having coverage probability equal to or exceeding a given confidence level. Inductive conformal predictors are a computationally efficient version of…

Machine Learning · Computer Science 2012-09-25 Vladimir Vovk

Revision programming is a formalism to describe and enforce updates of belief sets and databases. That formalism was extended by Fitting who assigned annotations to revision atoms. Annotations provide a way to quantify the confidence…

Artificial Intelligence · Computer Science 2007-05-23 Victor Marek , Inna Pivkina , Miroslaw Truszczynski

In classification of incomplete pattern, the missing values can either play a crucial role in the class determination, or have only little influence (or eventually none) on the classification results according to the context. We propose a…

Artificial Intelligence · Computer Science 2016-02-09 Zhun-Ga Liu , Quan Pan , Jean Dezert , Arnaud Martin

Counterfactual reasoning, a cornerstone of human cognition and decision-making, is often seen as the 'holy grail' of causal learning, with applications ranging from interpreting machine learning models to promoting algorithmic fairness.…

Machine Learning · Computer Science 2025-04-11 Yahya Aalaila , Gerrit Großmann , Sumantrak Mukherjee , Jonas Wahl , Sebastian Vollmer

Frequently we revise our first opinions after talking over with other individuals because we get convinced. Argumentation is a verbal and social process aimed at convincing. It includes conversation and persuasion. In this case, the…

Physics and Society · Physics 2017-04-26 Juan Pablo Pinasco , Viktoriya Semeshenko , Pablo Balenzuela

Evaluating hypothetical statements about how the world would be had a different course of action been taken is arguably one key capability expected from modern AI systems. Counterfactual reasoning underpins discussions in fairness, the…

Machine Learning · Computer Science 2022-10-04 Kevin Xia , Yushu Pan , Elias Bareinboim

We introduce a novel class of adjustment rules for a collection of beliefs. This is an extension of Lewis' imaging to absorb probabilistic evidence in generalized settings. Unlike standard tools for belief revision, our proposal may be used…

Artificial Intelligence · Computer Science 2018-08-02 Sabina Marchetti , Alessandro Antonucci