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When a language model agrees with a user's false belief, is it failing to detect the error, or noticing and agreeing anyway? We show the latter. Across twelve open-weight models from five labs, spanning small to frontier scale, the same…

Machine Learning · Computer Science 2026-05-05 Manav Pandey

In this paper, we consider the problem of social learning, where a group of agents embedded in a social network are interested in learning an underlying state of the world. Agents have incomplete, noisy, and heterogeneous sources of…

Machine Learning · Computer Science 2024-03-27 Mahyar JafariNodeh , Amir Ajorlou , Ali Jadbabaie

Although living organisms are affected by many interrelated and unidentified variables, this complexity does not automatically impose a fundamental limitation on statistical inference. Nor need one invoke such complexity as an explanation…

Data Analysis, Statistics and Probability · Physics 2013-02-06 Drew M. Thomas

Deliberate deceptiveness intended to gain an advantage is commonplace in human and animal societies. In a social dilemma, an individual may only pretend to be a cooperator to elicit cooperation from others, while in reality he is a…

Physics and Society · Physics 2014-11-03 Attila Szolnoki , Matjaz Perc

Recent reports claim that Large Language Models (LLMs) have achieved the ability to derive new science and exhibit human-level general intelligence. We argue that such claims are not rigorous scientific claims, as they do not satisfy…

Computers and Society · Computer Science 2026-02-11 Elchanan Mossel

Unobserved confounding arises when an unmeasured feature influences both the treatment and the outcome, leading to biased causal effect estimates. This issue undermines observational studies in fields like economics, medicine, ecology or…

Machine Learning · Computer Science 2025-09-09 Alexander Merkov , David Rohde , Alexandre Gilotte , Benjamin Heymann

Context is everything, even in commonsense moral reasoning. Changing contexts can flip the moral judgment of an action; "Lying to a friend" is wrong in general, but may be morally acceptable if it is intended to protect their life. We…

Computation and Language · Computer Science 2023-06-01 Valentina Pyatkin , Jena D. Hwang , Vivek Srikumar , Ximing Lu , Liwei Jiang , Yejin Choi , Chandra Bhagavatula

Two works related to the concept of probability in the framework of the many-worlds interpretation are presented. The first deals with recent controversy in classical probability theory. Elga and D. Lewis argues that Sleeping Beauty should…

Quantum Physics · Physics 2007-05-23 Lev Vaidman

We study a model of opinion formation where the opinions in conflict are not equivalent. This is the case when the subject of the decision is to respect a norm or a law. In such scenarios, one of the possible behaviors is to abide by the…

Physics and Society · Physics 2010-03-29 M. F. Laguna , G. Abramson , S. Risau-Gusman , J. R. Iglesias

Despite numerous attempts at mitigation since the inception of language models, hallucinations remain a persistent problem even in today's frontier LLMs. Why is this? We review existing definitions of hallucination and fold them into a…

Computation and Language · Computer Science 2026-02-04 Emmy Liu , Varun Gangal , Chelsea Zou , Michael Yu , Xiaoqi Huang , Alex Chang , Zhuofu Tao , Karan Singh , Sachin Kumar , Steven Y. Feng

The questionable responses caused by knowledge hallucination may lead to LLMs' unstable ability in decision-making. However, it has never been investigated whether the LLMs' hallucination is possibly usable to generate negative reasoning…

Computation and Language · Computer Science 2025-03-13 Chaowei Zhang , Zongling Feng , Zewei Zhang , Jipeng Qiang , Guandong Xu , Yun Li

Reasoning models are evaluated on single-turn benchmarks but deployed in multi-turn dialogue, where users push back on correct answers. Under sustained adversarial pressure we find a previously undocumented failure mode: the…

Artificial Intelligence · Computer Science 2026-05-29 Yubo Li , Ramayya Krishnan , Rema Padman

A knowledge system S describing a part of real world does in general not contain complete information. Reasoning with incomplete information is prone to errors since any belief derived from S may be false in the present state of the world.…

Artificial Intelligence · Computer Science 2011-05-20 Eliezer L. Lozinskii

When a language model sees a document contradicting its training knowledge, it must choose: follow the document or trust itself. Prior work proved this choice depends on how well-known the fact is. We ask: does the model's chain-of-thought…

Computation and Language · Computer Science 2026-05-28 Pruthvinath Jeripity Venkata

Statistical learning using imprecise probabilities is gaining more attention because it presents an alternative strategy for reducing irreplicable findings by freeing the user from the task of making up unwarranted high-resolution…

Statistics Theory · Mathematics 2017-12-27 Ruobin Gong , Xiao-Li Meng

Some physicists believe that superselection rules should be implemented to get rid of inconsistencies when a theory is framed in terms of a new mathematical formulation, whilst others think that this new formulation should be modified…

History and Philosophy of Physics · Physics 2023-10-05 Jorge Manero

This work studies the distributed learning process on a network of agents. Agents make partial observation about an unknown hypothesis and iteratively share their beliefs over a set of possible hypotheses with their neighbors to learn the…

Systems and Control · Electrical Eng. & Systems 2024-11-19 P Raghavendra Rao , Pooja Vyavahare

This work studies the learning abilities of agents sharing partial beliefs over social networks. The agents observe data that could have risen from one of several hypotheses and interact locally to decide whether the observations they are…

Signal Processing · Electrical Eng. & Systems 2019-10-31 Virginia Bordignon , Vincenzo Matta , Ali H. Sayed

The ability to derive underlying principles from a handful of observations and then generalize to novel situations -- known as inductive reasoning -- is central to human intelligence. Prior work suggests that language models (LMs) often…

Computation and Language · Computer Science 2024-05-24 Linlu Qiu , Liwei Jiang , Ximing Lu , Melanie Sclar , Valentina Pyatkin , Chandra Bhagavatula , Bailin Wang , Yoon Kim , Yejin Choi , Nouha Dziri , Xiang Ren

A major risk of using language models in practical applications is their tendency to hallucinate incorrect statements. Hallucinations are often attributed to knowledge gaps in LMs, but we hypothesize that in some cases, when justifying…

Computation and Language · Computer Science 2023-05-24 Muru Zhang , Ofir Press , William Merrill , Alisa Liu , Noah A. Smith