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In order to give appropriate semantics to qualitative conditionals of the form "if A then normally B", ordinal conditional functions (OCFs) ranking the possible worlds according to their degree of plausibility can be used. An OCF accepting…

Artificial Intelligence · Computer Science 2011-08-31 Christoph Beierle , Gabriele Kern-Isberner , Karl Södler

Possibilistic answer set programming (PASP) extends answer set programming (ASP) by attaching to each rule a degree of certainty. While such an extension is important from an application point of view, existing semantics are not…

Artificial Intelligence · Computer Science 2012-03-19 Kim Bauters , Steven Schockaert , Martine De Cock , Dirk Vermeir

The field of algorithmic optimization has significantly advanced with the development of methods for the automatic configuration of algorithmic parameters. This article delves into the Algorithm Configuration Problem, focused on optimizing…

Artificial Intelligence · Computer Science 2024-03-05 Gabriele Iommazzo , Claudia D'Ambrosio , Antonio Frangioni , Leo Liberti

Stochastic gradient methods are scalable for solving large-scale optimization problems that involve empirical expectations of loss functions. Existing results mainly apply to optimization problems where the objectives are one- or two-level…

Optimization and Control · Mathematics 2018-01-15 Shuoguang Yang , Mengdi Wang , Ethan X. Fang

Over the past decade a considerable amount of research has been done to expand logic programming languages to handle incomplete information. One such language is the language of epistemic specifications. As is usual with logic programming…

Artificial Intelligence · Computer Science 2007-05-23 Richard Watson

We propose a stochastic first-order algorithm to learn the rationality parameters of simultaneous and non-cooperative potential games, i.e., the parameters of the agents' optimization problems. Our technique combines (i.) an active-set step…

Optimization and Control · Mathematics 2023-07-31 Stefan Clarke , Gabriele Dragotto , Jaime Fernández Fisac , Bartolomeo Stellato

Sequence models are a critical component of modern NLP systems, but their predictions are difficult to explain. We consider model explanations though rationales, subsets of context that can explain individual model predictions. We find…

Computation and Language · Computer Science 2021-11-19 Keyon Vafa , Yuntian Deng , David M. Blei , Alexander M. Rush

In this paper we present a strategy for optimization functions with stochastic input. The main idea is to take advantage of decomposition in combination with a look-up table. Deciding what input values should be used for memoization is…

Other Computer Science · Computer Science 2012-11-26 Edin H. Mulalić , Miomir S. Stanković , Radomir S. Stanković

Decision making needs to take an uncertain environment into account. Over the last decades, robust optimization has emerged as a preeminent method to produce solutions that are immunized against uncertainty. The main focus in robust…

Optimization and Control · Mathematics 2021-02-11 Marc Goerigk , Michael Hartisch

This manuscript studies a general approach to construct confidence sets for the solution of stochastic optimization, rendering empirical risk minimization as special cases. Statistical inference for stochastic optimization poses significant…

Statistics Theory · Mathematics 2026-05-22 Kenta Takatsu , Arun Kumar Kuchibhotla

Optimizing complex systems, ranging from LLM prompts to multi-turn agents, traditionally requires labor-intensive manual iteration. We formalize this challenge as a stochastic generative optimization problem where a generative language…

Machine Learning · Computer Science 2026-03-17 Xuanfei Ren , Allen Nie , Tengyang Xie , Ching-An Cheng

Complex networks theory has commonly been used for modelling and understanding the interactions taking place between the elements composing complex systems. More recently, the use of generative models has gained momentum, as they allow…

Physics and Society · Physics 2016-05-19 Massimiliano Zanin , Marco Correia , Pedro A. C. Sousa , Jorge Cruz

We introduce the notion of a stochastic probabilistic program and present a reference implementation of a probabilistic programming facility supporting specification of stochastic probabilistic programs and inference in them. Stochastic…

Machine Learning · Statistics 2020-01-23 David Tolpin , Tomer Dobkin

In the policy making process a number of disparate and diverse issues such as economic development, environmental aspects, as well as the social acceptance of the policy, need to be considered. A single person might not have all the…

Artificial Intelligence · Computer Science 2014-05-16 Marco Gavanelli , Stefano Bragaglia , Michela Milano , Federico Chesani , Elisa Marengo , Paolo Cagnoli

Well-designed queuing systems form the backbone of modern communications, distributed computing, and content delivery architectures. Designs balancing infrastructure costs and user experience indices require tools from teletraffic theory…

Information Theory · Computer Science 2019-07-23 Srujan Teja Thomdapu , Ketan Rajawat

A new stochastic primal--dual algorithm for solving a composite optimization problem is proposed. It is assumed that all the functions/operators that enter the optimization problem are given as statistical expectations. These expectations…

Optimization and Control · Mathematics 2020-06-23 Pascal Bianchi , Walid Hachem , Adil Salim

Majorization-minimization algorithms consist of iteratively minimizing a majorizing surrogate of an objective function. Because of its simplicity and its wide applicability, this principle has been very popular in statistics and in signal…

Machine Learning · Statistics 2013-09-11 Julien Mairal

Preference optimization methods have been successfully applied to improve not only the alignment of large language models (LLMs) with human values, but also specific natural language tasks such as summarization and stylistic continuations.…

Machine Learning · Computer Science 2025-02-06 Salem Lahlou , Abdalgader Abubaker , Hakim Hacid

Recent advances in neural symbolic learning, such as DeepProbLog, extend probabilistic logic programs with neural predicates. Like graphical models, these probabilistic logic programs define a probability distribution over possible worlds,…

Artificial Intelligence · Computer Science 2021-06-24 Thomas Winters , Giuseppe Marra , Robin Manhaeve , Luc De Raedt

We study a class of two-stage stochastic programs in which the second stage includes a set of components with uncertain capacity, and the expression for the distribution function of the uncertain capacity includes first-stage variables.…

Optimization and Control · Mathematics 2024-09-16 Hugh Medal , Samuel Affar
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