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We present a state-of-the-art model for fine-grained probability estimation of propositions conditioned on context. Recent advances in large language models (LLMs) have significantly enhanced their reasoning capabilities, particularly on…

计算与语言 · 计算机科学 2026-04-28 Liaoyaqi Wang , Zhengping Jiang , Anqi Liu , Benjamin Van Durme

Classical logics of knowledge and belief are usually interpreted on Kripke models, for which a mathematically well-developed model theory is available. However, such models are inadequate to capture dynamic phenomena. Therefore, epistemic…

计算机科学中的逻辑 · 计算机科学 2015-03-13 Lorenz Demey

The decidability of axiomatic extensions of the modal logic K with modal reduction principles, i.e. axioms of the form $\Diamond^{k} p \rightarrow \Diamond^{n} p$, has remained a long-standing open problem. In this paper, we make…

计算机科学中的逻辑 · 计算机科学 2024-06-06 Piotr Ostropolski-Nalewaja , Tim S. Lyon

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…

We introduce estimation and test procedures through divergence minimization for models satisfying linear constraints with unknown parameter. Several statistical examples and motivations are given. These procedures extend the empirical…

统计理论 · 数学 2008-11-24 Michel Broniatowski , Amor Keziou

A primary motivation for reasoning under uncertainty is to derive decisions in the face of inconclusive evidence. However, Shafer's theory of belief functions, which explicitly represents the underconstrained nature of many reasoning…

人工智能 · 计算机科学 2013-04-08 Thomas M. Strat

An approach to reasoning with default rules where the proportion of exceptions, or more generally the probability of encountering an exception, can be at least roughly assessed is presented. It is based on local uncertainty propagation…

人工智能 · 计算机科学 2013-03-26 Stephane Amarger , Didier Dubois , Henri Prade

The output of Large Language Models (LLMs) are a function of the internal model's parameters and the input provided into the context window. The hypothesis presented here is that under a greedy sampling strategy the variance in the LLM's…

人工智能 · 计算机科学 2025-02-20 Srijith Rajamohan , Ahmed Salhin , Josh Frazier , Rohit Kumar , Yu-Cheng Tsai , Todd Cook

We study the interpretability of conditional probability estimates for binary classification under the agnostic setting or scenario. Under the agnostic setting, conditional probability estimates do not necessarily reflect the true…

机器学习 · 计算机科学 2017-03-01 Yihan Gao , Aditya Parameswaran , Jian Peng

Uncertainty in Logic Programming has been investigated during the last decades, dealing with various extensions of the classical LP paradigm and different applications. Existing proposals rely on different approaches, such as clause…

计算机科学中的逻辑 · 计算机科学 2011-01-17 Mario Rodríguez-Artalejo , Carlos A. Romero-Díaz

Recent advancements in machine learning have emphasized the need for transparency in model predictions, particularly as interpretability diminishes when using increasingly complex architectures. In this paper, we propose leveraging…

机器学习 · 计算机科学 2025-07-18 Chenrui Zhu , Louenas Bounia , Vu Linh Nguyen , Sébastien Destercke , Arthur Hoarau

Recently, Halpern and Leung suggested representing uncertainty by a weighted set of probability measures, and suggested a way of making decisions based on this representation of uncertainty: maximizing weighted regret. Their paper does not…

人工智能 · 计算机科学 2013-09-06 Joseph Y. Halpern

In this paper, a possibilistic disjunctive logic programming approach for modeling uncertain, incomplete and inconsistent information is defined. This approach introduces the use of possibilistic disjunctive clauses which are able to…

人工智能 · 计算机科学 2015-03-19 Juan Carlos Nieves , Mauricio Osorio , Ulises Cortés

Hallucinations, a phenomenon where a language model (LM) generates nonfactual content, pose a significant challenge to the practical deployment of LMs. While many empirical methods have been proposed to mitigate hallucinations, recent…

计算与语言 · 计算机科学 2026-05-18 Atsushi Suzuki , Yulan He , Feng Tian , Zhongyuan Wang

Presupposition projection in conditionals is central to theories of meaning and pragmatics, yet it remains largely unevaluated in large language models. We address this gap through a parallel behavioral study comparing human judgments and…

计算与语言 · 计算机科学 2026-05-19 Tara Azin , Yongan Yu , Raj Singh , Olessia Jouravlev

Large Reasoning Models (LRMs) have recently demonstrated significant improvements in complex reasoning. While quantifying generation uncertainty in LRMs is crucial, traditional methods are often insufficient because they do not provide…

人工智能 · 计算机科学 2026-04-16 Yangyi Li , Chenxu Zhao , Mengdi Huai

This paper considers the complexity and properties of KLM-style preferential reasoning in the setting of propositional logic with team semantics and dependence atoms, also known as propositional dependence logic. Preferential team-based…

人工智能 · 计算机科学 2025-05-14 Kai Sauerwald , Arne Meier , Juha Kontinen

Large Language Models (LLM), which have developed in recent years, enable credit risk assessment through the analysis of financial texts such as analyst reports and corporate disclosures. This paper presents the first systematic review and…

风险管理 · 定量金融 2025-06-10 Muhammed Golec , Maha AlabdulJalil

Expectation is a central notion in probability theory. The notion of expectation also makes sense for other notions of uncertainty. We introduce a propositional logic for reasoning about expectation, where the semantics depends on the…

人工智能 · 计算机科学 2014-07-29 Joseph Y. Halpern , Riccardo Pucella

A major difficulty in developing and maintaining very large knowledge bases originates from the variety of forms in which knowledge is made available to the KB builder. The objective of this research is to bring together two complementary…

人工智能 · 计算机科学 2013-04-05 John Yen , Piero P. Bonissone
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