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This paper surveys the recent attempts at leveraging machine learning to solve constrained optimization problems. It focuses on surveying the work on integrating combinatorial solvers and optimization methods with machine learning…

机器学习 · 计算机科学 2021-03-31 James Kotary , Ferdinando Fioretto , Pascal Van Hentenryck , Bryan Wilder

A variant of the well-known Set Covering Problem is studied in this paper, where subsets of a collection have to be selected, and pairwise conflicts among subsets of items exist. The selection of each subset has a cost, and the inclusion of…

最优化与控制 · 数学 2025-04-22 Roberto Montemanni , Derek H. Smith

This paper presents a new combinatorial optimisation task, the Subset Sum Matching Problem (SSMP), which is an abstraction of common financial applications such as trades reconciliation. We present three algorithms, two suboptimal and one…

Answer set programming (ASP) is a paradigm for declarative problem solving where problems are first formalized as rule sets, i.e., answer-set programs, in a uniform way and then solved by computing answer sets for programs. The…

人工智能 · 计算机科学 2011-08-31 Mai Nguyen , Tomi Janhunen , Ilkka Niemelä

Answer set programming (ASP) is a logic programming formalism used in various areas of artificial intelligence like combinatorial problem solving and knowledge representation and reasoning. It is known that enhancing ASP with function…

人工智能 · 计算机科学 2025-09-24 Lukas Gerlach , David Carral , Markus Hecher

Weighted Logic is a powerful tool for the specification of calculations over semirings that depend on qualitative information. Using a novel combination of Weighted Logic and Here-and-There (HT) Logic, in which this dependence is based on…

人工智能 · 计算机科学 2022-11-14 Thomas Eiter , Rafael Kiesel

Answer Set Programming (ASP) has emerged as a promising paradigm in knowledge representation and automated reasoning owing to its ability to model hard combinatorial problems from diverse domains in a natural way. Building on advances in…

计算机科学中的逻辑 · 计算机科学 2023-12-20 Mohimenul Kabir , Supratik Chakraborty , Kuldeep S Meel

Answer set programming (ASP) is a popular nonmonotonic-logic based paradigm for knowledge representation and solving combinatorial problems. Computing the answer set of an ASP program is NP-hard in general, and researchers have been…

计算机科学中的逻辑 · 计算机科学 2021-09-21 Fang Li

Decision-making problems can be modeled as combinatorial optimization problems with Constraint Programming formalisms such as Constrained Optimization Problems. However, few Constraint Programming formalisms can deal with both optimization…

人工智能 · 计算机科学 2022-05-24 Valentin Antuori , Florian Richoux

We address combinatorial optimization problems with uncertain coefficients varying over ellipsoidal uncertainty sets. The robust counterpart of such a problem can be rewritten as a second-oder cone program (SOCP) with integrality…

最优化与控制 · 数学 2018-04-09 Christoph Buchheim , Marianna De Santis

Answer Set Programming (ASP) is a declarative programming paradigm based on logic programming and non-monotonic reasoning. It is a tremendously powerful tool for describing and solving combinatorial problems. Like any other language, ASP…

人工智能 · 计算机科学 2025-11-13 Connar Hite , Sean Saud , Raef Taha , Nayim Rahman , Tanvir Atahary , Scott Douglass , Tarek Taha

In Answer Set Programming (ASP), the user can define declaratively a problem and solve it with efficient solvers; practical applications of ASP are countless and several constraint problems have been successfully solved with ASP. On the…

人工智能 · 计算机科学 2023-05-23 Paola Cappanera , Marco Gavanelli , Maddalena Nonato , Marco Roma

Answer Set Programming (ASP) is a well-established paradigm of declarative programming that has been developed in the field of logic programming and nonmonotonic reasoning. Advances in ASP solving technology are customarily assessed in…

人工智能 · 计算机科学 2014-06-04 Francesco Calimeri , Martin Gebser , Marco Maratea , Francesco Ricca

Motivated by the philosophy and phenomenal success of compressed sensing, the problem of reconstructing a matrix from a sampling of its entries has attracted much attention recently. Such a problem can be viewed as an information-theoretic…

信息论 · 计算机科学 2009-05-15 Zhisu Zhu , Anthony Man-Cho So , Yinyu Ye

We consider a spacecraft formation reconfiguration problem in the case of identical spacecraft. This introduces in the optimal reconfiguration problem a permutational degree of freedom, in addition to the choice of individual spacecraft…

最优化与控制 · 数学 2007-05-23 Taeyoung Lee , N. Harris McClamroch , Melvin Leok

This paper describes an approach to the methodology of answer set programming (ASP) that can facilitate the design of encodings that are easy to understand and provably correct. Under this approach, after appending a rule or a small group…

人工智能 · 计算机科学 2019-08-08 Vladimir Lifschitz

A new approach to solving a class of rankconstrained semi-definite programming (SDP) problems, which appear in many signal processing applications such as transmit beamspace design in multiple-input multiple-output (MIMO) radar, downlink…

信息论 · 计算机科学 2016-10-10 Matthew W. Morency , Sergiy A. Vorobyov

This paper studies the complexity of distributed construction of purely additive spanners in the CONGEST model. We describe algorithms for building such spanners in several cases. Because of the need to simultaneously make decisions at far…

数据结构与算法 · 计算机科学 2016-07-20 Keren Censor-Hillel , Telikepalli Kavitha , Ami Paz , Amir Yehudayoff

We present an end-to-end framework for generating solutions to combinatorial optimization problems with unknown components using transformer-based sequence-to-sequence neural networks. Our framework learns directly from past solutions and…

最优化与控制 · 数学 2026-02-06 Macarena Navarro , Willem-Jan van Hoeve , Karan Singh

Mixed integer predictive control deals with optimizing integer and real control variables over a receding horizon. The mixed integer nature of controls might be a cause of intractability for instances of larger dimensions. To tackle this…

最优化与控制 · 数学 2010-03-16 Dario Bauso