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Multiple testing of a single hypothesis and testing multiple hypotheses are usually done in terms of p-values. In this paper we replace p-values with their natural competitor, e-values, which are closely related to betting, Bayes factors,…

Statistics Theory · Mathematics 2021-10-26 Vladimir Vovk , Ruodu Wang

Choice revision is a sort of non-prioritized multiple revision, in which the agent partially accepts the new information represented by a set of sentences. We investigate the construction of choice revision based on a new approach to belief…

Logic · Mathematics 2018-05-02 Li Zhang

Despite extensive theoretical research on proportionality in approval-based multiwinner voting, its impact on which committees and candidates can be selected in practice remains poorly understood. We address this gap by (i) analyzing the…

Computer Science and Game Theory · Computer Science 2025-11-13 Niclas Boehmer , Lara Glessen , Jannik Peters

Classic evaluation methods of believable agents are time-consuming because they involve many human to judge agents. They are well suited to validate work on new believable behaviours models. However, during the implementation, numerous…

Artificial Intelligence · Computer Science 2010-09-03 Fabien Tencé , Cédric Buche

Recent discussions on alternative facts, fake news, and post truth politics have motivated research on creating technologies that allow people not only to access information, but also to assess the credibility of the information presented…

Information Retrieval · Computer Science 2017-08-25 Christina Lioma , Jakob Grue Simonsen , Birger Larsen

Mutually exclusive decisions have been studied for decades. Many well-known decision theories have been defined to help people either to make rational decisions or to interpret people's behaviors, such as expected utility theory, regret…

Economics · Quantitative Finance 2018-01-09 Pengyu Zhu

We motivate and describe a theory of belief in this paper. This theory is developed with the following view of human belief in mind. Consider the belief that an event E will occur (or has occurred or is occurring). An agent either…

Artificial Intelligence · Computer Science 2013-03-26 Yen-Teh Hsia

Embedders play a central role in machine learning, projecting any object into numerical representations that can, in turn, be leveraged to perform various downstream tasks. The evaluation of embedding models typically depends on…

Machine Learning · Computer Science 2024-11-19 Maxime Darrin , Philippe Formont , Ismail Ben Ayed , Jackie CK Cheung , Pablo Piantanida

The ``impossibility theorem'' -- which is considered foundational in algorithmic fairness literature -- asserts that there must be trade-offs between common notions of fairness and performance when fitting statistical models, except in two…

Machine Learning · Computer Science 2023-02-14 Andrew Bell , Lucius Bynum , Nazarii Drushchak , Tetiana Herasymova , Lucas Rosenblatt , Julia Stoyanovich

The reasoning with qualitative uncertainty measures involves comparative statements about events in terms of their likeliness without necessarily assigning an exact numerical value to these events. The paper is divided into two parts. In…

Logic · Mathematics 2024-03-18 Marta Bilkova , Sabine Frittella , Daniil Kozhemiachenko , Ondrej Majer

Confidence estimation (CE) indicates how reliable the answers of large language models are and impacts user trust and decision-making. Existing evaluations mainly concern the alignment between confidence and correctness, but ignore the…

Computation and Language · Computer Science 2026-05-29 Yuxi Xia , Dennis Ulmer , Terra Blevins , Yihong Liu , Hinrich Schütze , Benjamin Roth

Some large scale inference problems are considered based on using the relative belief ratio as a measure of statistical evidence. This approach is applied to the multiple testing problem. A particular application of this is concerned with…

Statistics Theory · Mathematics 2016-09-22 Michael Evans , Jabed Tomal

The compatibility of quantitative and qualitative representations of beliefs was studied extensively in probability theory. It is only recently that this important topic is considered in the context of belief functions. In this paper, the…

Artificial Intelligence · Computer Science 2013-03-26 Michael S. K. M. Wong , Y. Y. Yao , P. Lingras

We study approval-based committee voting in which a target number of candidates are selected based on voters' approval preferences over candidates. In contrast to most of the work, we consider the setting where voters express uncertain…

Computer Science and Game Theory · Computer Science 2024-07-30 Hariz Aziz , Venkateswara Rao Kagita , Baharak Rastegari , Mashbat Suzuki

We study the merging and the testing of opinions in the context of a prediction model. In the absence of incentive problems, opinions can be tested and rejected, regardless of whether or not data produces consensus among Bayesian agents. In…

Statistics Theory · Mathematics 2014-05-30 Luciano Pomatto , Nabil Al-Najjar , Alvaro Sandroni

This paper deals with belief base revision that is a form of belief change consisting of the incorporation of new facts into an agent's beliefs represented by a finite set of propositional formulas. In the aim to guarantee more reliability…

Artificial Intelligence · Computer Science 2020-09-25 Raïda Ktari , Mohamed Ayman Boujelben

We are concerned with the problem of introducing credibility type information into reasoning systems. The concept of credibility allows us to discount information provided by agents. An important characteristic of this kind of procedure is…

Artificial Intelligence · Computer Science 2013-04-05 Ronald R. Yager

Personalized treatment effect estimates are often of interest in high-stakes applications -- thus, before deploying a model estimating such effects in practice, one needs to be sure that the best candidate from the ever-growing machine…

Machine Learning · Statistics 2023-06-07 Alicia Curth , Mihaela van der Schaar

Value learning is a crucial aspect of safe and ethical AI. This is primarily pursued by methods inferring human values from behaviour. However, humans care about much more than we are able to demonstrate through our actions. Consequently,…

Artificial Intelligence · Computer Science 2025-05-28 Paul de Font-Reaulx

The ability to develop or evolve software or software-based systems/services with defined and guaranteed quality in a predictable way is becoming increasingly important. Essential - though not exclusive - prerequisites for this are the…

Software Engineering · Computer Science 2014-01-10 Adam Trendowicz , Michael Kläs , Constanza Lampasona , Jürgen Münch , Christian Körner , Matthias Saft