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Multiple imputation is a straightforward method for handling missing data in a principled fashion. This paper presents an overview of multiple imputation, including important theoretical results and their practical implications for…

Methodology · Statistics 2018-01-15 Jared S. Murray

Law enforcement acquires costly evidence with the aim of securing the conviction of a defendant, who is convicted if a decision-maker's belief exceeds a certain threshold. Either law enforcement or the decision-maker is biased and is…

Theoretical Economics · Economics 2021-11-22 Vasudha Jain , Mark Whitmeyer

The paper proposes a new type of negation in multi-valued logics, providing a different way to answer the following question: what does it mean that some object language formula does not have a given truth-value. Along the way, the paper…

Logic in Computer Science · Computer Science 2022-04-01 Nissim Francez

As human science pushes the boundaries towards the development of artificial intelligence (AI), the sweep of progress has caused scholars and policymakers alike to question the legality of applying or utilising AI in various human…

Human-Computer Interaction · Computer Science 2022-10-11 Dr Brendan Walker-Munro , Dr Zena Assaad

I think we can agree that dealing with uncertainty is not easy. Probability is the main tool for dealing with uncertainty, and we know there are many probability-related puzzles and paradoxes. Here I describe a rather idiosyncratic…

Other Statistics · Statistics 2022-01-19 Yudi Pawitan

The paper adresses the problem of reasoning with ambiguities. Semantic representations are presented that leave scope relations between quantifiers and/or other operators unspecified. Truth conditions are provided for these representations…

cmp-lg · Computer Science 2008-02-03 Uwe Reyle

Consider the following belief change/merging scenario. A group of information sources gives a sequence of reports about the state of the world at various instances (e.g. different points in time). The true states at these instances are…

Artificial Intelligence · Computer Science 2022-05-03 Joseph Singleton , Richard Booth

A simple framework for reasoning under uncertainty and intervention is introduced. This is achieved in three steps. First, logic is restated in set-theoretic terms to obtain a framework for reasoning under certainty. Second, this framework…

Statistics Theory · Mathematics 2010-08-18 Pedro A. Ortega

Intuitively, a pluralist solution is one in which a single question receives multiple answers. Such pluralist solutions have been proposed in many widely disparate contexts. This paper restates the concept of pluralism with greater…

Logic · Mathematics 2007-05-23 Andrew Aberdein

Computability logic is a formal theory of computational tasks and resources. Formulas in it represent interactive computational problems, and "truth" is understood as algorithmic solvability. Interactive computational problems, in turn, are…

Logic in Computer Science · Computer Science 2011-04-15 Giorgi Japaridze

We develop a semantics for logics of imperfect information with respect to general models. Then we build a proof system and prove its soundness and completeness with respect to this semantics.

Logic · Mathematics 2012-01-30 Pietro Galliani

Deception detection has attracted increasing attention due to its importance in real-world scenarios. Its main goal is to detect deceptive behaviors from multimodal clues such as gestures, facial expressions, prosody, etc. However, these…

Computation and Language · Computer Science 2024-08-14 Kang Chen , Zheng Lian , Haiyang Sun , Rui Liu , Jiangyan Yi , Bin Liu , Jianhua Tao

Faithfulness evaluators based on large language models (LLMs) are often fooled by the fluency of the text and struggle with identifying errors in the summaries. We propose an approach to summary faithfulness evaluation in which multiple…

The problem is to determine which processors are reliable in a remote location by asking "Yes or No" questions. The processors are of three types: those that always tell the truth, those that always lie, and those the sometimes tell the…

Other Computer Science · Computer Science 2014-07-24 Robert Cowen

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

We provide formal definitions of degree of blameworthiness and intention relative to an epistemic state (a probability over causal models and a utility function on outcomes). These, together with a definition of actual causality, provide…

Artificial Intelligence · Computer Science 2018-10-16 Joseph Y. Halpern , Max Kleiman-Weiner

Large language models (LLMs) have demonstrated impressive capabilities across a variety of tasks, but their increasing autonomy in real-world applications raises concerns about their trustworthiness. While hallucinations-unintentional…

Machine Learning · Computer Science 2025-09-04 Haoran Huan , Mihir Prabhudesai , Mengning Wu , Shantanu Jaiswal , Deepak Pathak

The prisoners and hats puzzle, or simply the hat puzzle, is a family of games in which a group of prisoners are each assigned a colored hat and are asked to guess the color of their own hat. Various versions of the puzzle arise depending on…

Logic · Mathematics 2025-11-13 Souji Shizuma

Explainable models in Artificial Intelligence are often employed to ensure transparency and accountability of AI systems. The fidelity of the explanations are dependent upon the algorithms used as well as on the fidelity of the data. Many…

Machine Learning · Computer Science 2019-07-31 Muhammad Aurangzeb Ahmad , Carly Eckert , Ankur Teredesai

User queries are often underspecified and may admit multiple valid interpretations. Rather than silently making assumptions about the user's intent, a helpful assistant should surface such ambiguity by asking a clarifying question. Doing so…

Computation and Language · Computer Science 2026-05-26 Jinyan Su , Claire Cardie