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In this paper, an optimization problem with uncertain constraint coefficients is considered. Possibility theory is used to model the uncertainty. Namely, a joint possibility distribution in constraint coefficient realizations, called…

最优化与控制 · 数学 2023-09-07 Romain Guillaume , Adam Kasperski , Pawel Zielinski

This note is concerned with a formal analysis of the problem of non-monotonic reasoning in intelligent systems, especially when the uncertainty is taken into account in a quantitative way. A firm connection between logic and probability is…

人工智能 · 计算机科学 2013-04-05 Hung-Trung Nguyen

When causal quantities cannot be point identified, researchers often pursue partial identification to quantify the range of possible values. However, the peculiarities of applied research conditions can make this analytically intractable.…

统计方法学 · 统计学 2021-09-29 Guilherme Duarte , Noam Finkelstein , Dean Knox , Jonathan Mummolo , Ilya Shpitser

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

Distributed proofs are mechanisms enabling the nodes of a network to collectivity and efficiently check the correctness of Boolean predicates on the structure of the network, or on data-structures distributed over the nodes (e.g., spanning…

分布式、并行与集群计算 · 计算机科学 2020-09-22 Laurent Feuilloley , Pierre Fraigniaud , Juho Hirvonen , Ami Paz , Mor Perry

Decisions are often based on imprecise, uncertain or vague information. Likewise, the consequences of an action are often equally unpredictable, thus putting the decision maker into a twofold jeopardy. Assuming that the effects of an action…

综合经济学 · 经济学 2022-05-03 Stefan Rass , Sandra König , Stefan Schauer

The paper introduces mixed networks, a new framework for expressing and reasoning with probabilistic and deterministic information. The framework combines belief networks with constraint networks, defining the semantics and graphical…

人工智能 · 计算机科学 2012-07-19 Rina Dechter , Robert Mateescu

"To Appear in Theory and Practice of Logic Programming (TPLP)" This paper presents a technique for the optimization of bound queries over disjunctive deductive databases with constraints. The proposed approach is an extension of the…

计算机科学中的逻辑 · 计算机科学 2007-05-23 G. Greco , S. Greco , I. Trubtsyna , E. Zumpano

We consider a two-stage stochastic decision problem where the decision-maker has the opportunity to obtain information about the distribution of the random variables $\xi$ that appear in the problem through a set of discrete actions that we…

最优化与控制 · 数学 2024-07-16 Zhichao Ma , Youngdae Kim , Jeff Linderoth , James R. Luedtke , Logan R. Matthews

The proportional fair resource allocation problem is a major problem studied in flow control of networks, operations research, and economic theory, where it has found numerous applications. This problem, defined as the constrained…

最优化与控制 · 数学 2022-11-29 Francisco Criado , David Martínez-Rubio , Sebastian Pokutta

We study the problem of approximating a discrete probability distribution, such as the next-token distribution of a large language model, by a dyadic distribution induced by a binary tree under encoding rate constraints. The objective is to…

信息论 · 计算机科学 2026-05-08 Daniella Bar-Lev , Farzad Farnoud , Ryan Gabrys

Many logic programming based approaches can be used to describe and solve combinatorial search problems. On the one hand there is constraint logic programming which computes a solution as an answer substitution to a query containing the…

人工智能 · 计算机科学 2007-05-23 Nikolay Pelov , Emmanuel De Mot , Marc Denecker

Many planning formalisms allow for mixing numeric with Boolean effects. However, most of these formalisms are undecidable. In this paper, we will analyze possible causes for this undecidability by studying the number of different…

人工智能 · 计算机科学 2023-07-28 Hayyan Helal , Gerhard Lakemeyer

Techniques for decision making with knowledge of linear constraints on condition probabilities are examined. These constraints arise naturally in many situations: upper and lower condition probabilities are known; an ordering among the…

人工智能 · 计算机科学 2013-04-10 Michael Pittarelli

Given a logic presented in a sequent calculus, a natural question is that of equivalence of proofs: to determine whether two given proofs are equated by any denotational semantics, ie any categorical interpretation of the logic compatible…

计算机科学中的逻辑 · 计算机科学 2019-03-14 Marc Bagnol

In this paper we consider the classical problem of computing linear extensions of a given poset which is well known to be a difficult problem. However, in our setting the elements of the poset are multivariate polynomials, and only a small…

组合数学 · 数学 2021-03-05 Shane Kepley , Konstantin Mischaikow , Lun Zhang

We want to select the best systems out of a given set of systems (or rank them) with respect to their expected performance. The systems allow random observations only and we assume that the joint observation of the systems has a…

统计方法学 · 统计学 2017-01-23 Björn Görder , Michael Kolonko

Several logics for expressing coalitional ability under resource bounds have been proposed and studied in the literature. Previous work has shown that if only consumption of resources is considered or the total amount of resources produced…

多智能体系统 · 计算机科学 2015-04-28 Natasha Alechina , Brian Logan , Hoang Nga Nguyen , Franco Raimondi

Probabilistic argumentation allows reasoning about argumentation problems in a way that is well-founded by probability theory. However, in practice, this approach can be severely limited by the fact that probabilities are defined by adding…

人工智能 · 计算机科学 2019-03-07 Nico Potyka

Formalisms for specifying statistical models, such as probabilistic-programming languages, typically consist of two components: a specification of a stochastic process (the prior), and a specification of observations that restrict the…

数据库 · 计算机科学 2015-01-06 Vince Barany , Balder ten Cate , Benny Kimelfeld , Dan Olteanu , Zografoula Vagena