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Belief change is a fundamental problem in AI: Agents constantly have to update their beliefs to accommodate new observations. In recent years, there has been much work on axiomatic characterizations of belief change. We claim that a better…

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

When statisticians quarrel about hypothesis testing, the debate usually focus on which method is the correct one. The fundamental question of whether we should test hypothesis at all tends to be forgotten. This lack of debate has its roots…

Other Statistics · Statistics 2016-11-22 André C. R. Martins

Conversational implicatures are usually described as being licensed by the disobeying or flouting of some principle by the speaker in cooperative dialogue. However, such work has failed to distinguish cases of the speaker flouting such a…

cmp-lg · Computer Science 2007-05-23 Mark Lee , Yorick Wilks

Recent studies suggest that self-reflective prompting can significantly enhance the reasoning capabilities of Large Language Models (LLMs). However, the use of external feedback as a stop criterion raises doubts about the true extent of…

Computation and Language · Computer Science 2024-04-16 Yanhong Li , Chenghao Yang , Allyson Ettinger

Polarization and unexpected correlations between opinions on diverse topics (including in politics, culture and consumer choices) are an object of sustained attention. However, numerous theoretical models do not seem to convincingly explain…

Social and Information Networks · Computer Science 2026-05-07 Abdou Majeed Alidou , Júlia Baligács , Max Hahn-Klimroth , Jan Hązła , Lukas Hintze , Olga Scheftelowitsch

This paper sets out to resolve how agents ought to act in the Sleeping Beauty problem and various related anthropic (self-locating belief) problems, not through the calculation of anthropic probabilities, but through finding the correct…

Data Analysis, Statistics and Probability · Physics 2017-09-21 Stuart Armstrong

In this extended abstract, we carefully examine a purported counterexample to a postulate of iterated belief revision. We suggest that the example is better seen as a failure to apply the theory of belief revision in sufficient detail. The…

Artificial Intelligence · Computer Science 2013-10-29 Eric Pacuit , Arthur Paul Pedersen , Jan-Willem Romeijn

The fact that redundant information does not update a rational belief implies that rational beliefs are updated using Bayes rule. In the framework of Hild (1998a), this is true under mild conditions for discrete, continuous, and arbitrary…

In this paper, we consider the problem of learning a first-order theorem prover that uses a representation of beliefs in mathematical claims to construct proofs. The inspiration for doing so comes from the practices of human mathematicians…

Artificial Intelligence · Computer Science 2019-07-01 Daniel Huang

Large language models often hallucinate with high confidence on "random facts" that lack inferable patterns. We formalize the memorization of such facts as a membership testing problem, unifying the discrete error metrics of Bloom filters…

Machine Learning · Computer Science 2026-04-07 Anxin Guo , Jingwei Li

Failures in large language models (LLMs) are often analyzed from a behavioral perspective, where incorrect outputs in factual question answering are commonly associated with missing knowledge. In this work, focusing on entity-based factual…

Artificial Intelligence · Computer Science 2026-02-17 Haolang Lu , Hongrui Peng , WeiYe Fu , Guoshun Nan , Xinye Cao , Xingrui Li , Hongcan Guo , Kun Wang

Large language models (LLMs) have achieved a degree of success in generating coherent and contextually relevant text, yet they remain prone to a significant challenge known as hallucination: producing information that is not substantiated…

Computation and Language · Computer Science 2024-10-28 Ray Li , Tanishka Bagade , Kevin Martinez , Flora Yasmin , Grant Ayala , Michael Lam , Kevin Zhu

Hallucination is a persistent challenge in large language models (LLMs), where even with rigorous quality control, models often generate distorted facts. This paradox, in which error generation continues despite high-quality training data,…

Computation and Language · Computer Science 2025-02-25 Yuji Zhang , Sha Li , Cheng Qian , Jiateng Liu , Pengfei Yu , Chi Han , Yi R. Fung , Kathleen McKeown , Chengxiang Zhai , Manling Li , Heng Ji

The spread of disinformation (maliciously spread false information) in online social networks has become an important problem in today's society. Disinformation's spread is facilitated by the fact that individuals often accept false…

Physics and Society · Physics 2025-04-15 Corbit R. Sampson , Juan G. Restrepo

In a probability-based reasoning system, Bayes' theorem and its variations are often used to revise the system's beliefs. However, if the explicit conditions and the implicit conditions of probability assignments `me properly distinguished,…

Artificial Intelligence · Computer Science 2013-03-08 Pei Wang

Aumann's famous Agreeing to Disagree Theorem states that if a group of agents share a common prior, update their beliefs by Bayesian conditioning based on private information, and have common knowledge of their posterior beliefs regarding…

Computer Science and Game Theory · Computer Science 2025-12-01 Eric Pacuit , Leo Yang

We revisit Popper's falsifiability criterion. A tester hires a potential expert to produce a theory, offering payments contingent on the observed performance of the theory. In our model, instead of knowing the true data-generating process,…

Theoretical Economics · Economics 2026-01-06 Mark Whitmeyer , Kun Zhang

Fact verification systems typically assess whether a claim is supported by retrieved evidence, assuming that truthfulness depends solely on what is stated. However, many real-world claims are half-truths, factually correct yet misleading…

Computation and Language · Computer Science 2025-09-23 Yixuan Tang , Jincheng Wang , Anthony K. H. Tung

A large literature suggests that people are intuitive Dualists--they consider the mind ethereal, distinct from the body. Past research also shows that Dualism emerges, in part, via learning (e.g., Barlev & Shtulman, 2021). But whether…

Artificial Intelligence · Computer Science 2023-06-01 Iris Berent , Alexzander Sansiveri

Recent studies have shown that the majority of published computational models in systems biology and physiology are not repeatable or reproducible. There are a variety of reasons for this. One of the most likely reasons is that given how…

Other Quantitative Biology · Quantitative Biology 2021-07-13 Herbert M. Sauro
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