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Search is a key service within constraint programming systems, and it demands the restoration of previously accessed states during the exploration of a search tree. Restoration proceeds either bottom-up within the tree to roll back…

Programming Languages · Computer Science 2016-02-05 Yong Lin , Martin Henz

Cardinality constraints or, more generally, weight constraints are well recognized as an important extension of answer-set programming. Clearly, all common algorithmic tasks related to programs with cardinality or weight constraints - like…

Logic in Computer Science · Computer Science 2020-02-19 Reinhard Pichler , Stefan Rümmele , Stefan Szeider , Stefan Woltran

We study the complexity of constraint satisfaction problems involving global constraints, i.e., special-purpose constraints provided by a solver and represented implicitly by a parametrised algorithm. Such constraints are widely used;…

Artificial Intelligence · Computer Science 2013-07-11 David A. Cohen , Peter G. Jeavons , Evgenij Thorstensen , Stanislav Živný

There has been a significant growth of variable renewable generation in the power grid today. However, the industry still uses deterministic optimization to model and solve the optimal power flow (OPF) problem for real-time generation…

Optimization and Control · Mathematics 2019-12-02 Xingpeng Li , Qianxue Xia

Product Lines (PL) have proved an effective approach to reuse-based systems development. Several modeling languages were proposed so far to specify PL. Although they can be very different, these languages show two common features: they…

Software Engineering · Computer Science 2023-09-29 Camille Salinesi , Raul Mazo , Daniel Diaz , Olfa Djebbi

Various natural language processing tasks are structured prediction problems where outputs are constructed with multiple interdependent decisions. Past work has shown that domain knowledge, framed as constraints over the output space, can…

Computation and Language · Computer Science 2020-06-03 Xingyuan Pan , Maitrey Mehta , Vivek Srikumar

Random instances of Constraint Satisfaction Problems (CSP's) appear to be hard for all known algorithms, when the number of constraints per variable lies in a certain interval. Contributing to the general understanding of the structure of…

Discrete Mathematics · Computer Science 2009-04-20 Andrea Montanari , Ricardo Restrepo , Prasad Tetali

A wide range of problems can be modelled as constraint satisfaction problems (CSPs), that is, a set of constraints that must be satisfied simultaneously. Constraints can either be represented extensionally, by explicitly listing allowed…

Artificial Intelligence · Computer Science 2013-07-09 Evgenij Thorstensen

We study constrained clustering, where constraints guide the clustering process. In existing works, two categories of constraints have been widely explored, namely pairwise and cardinality constraints. Pairwise constraints enforce the…

Machine Learning · Computer Science 2023-01-30 Adel Bibi , Ali Alqahtani , Bernard Ghanem

Single-level reformulations of (non-convex) distributionally robust optimization (DRO) problems are often intractable, as they contain semiinfinite dual constraints. Based on such a semiinfinite reformulation, we present a safe…

Optimization and Control · Mathematics 2025-06-09 J. Dienstbier , F. Liers , J. Rolfes

In Constraint Programming, solving discrete minimization problems with hard and soft constraints can be done either using (i) soft global constraints, (ii) a reformulation into a linear program, or (iii) a reformulation into local cost…

Artificial Intelligence · Computer Science 2025-09-24 Pierre Montalbano , Simon de Givry , George Katsirelos

The (constrained) minimization of a ratio of set functions is a problem frequently occurring in clustering and community detection. As these optimization problems are typically NP-hard, one uses convex or spectral relaxations in practice.…

Machine Learning · Statistics 2013-06-17 Thomas Bühler , Syama Sundar Rangapuram , Simon Setzer , Matthias Hein

In this paper we consider multiple constrained resource allocation problems, where the constraints can be specified by formulating activity dependency restrictions or by using game-theoretic models. All the problems are focused on generic…

Data Structures and Algorithms · Computer Science 2009-06-19 Mugurel Ionut Andreica , Madalina Ecaterina Andreica , Costel Visan

We consider the minimum spanning tree (MST) problem under the restriction that for every vertex v, the edges of the tree that are adjacent to v satisfy a given family of constraints. A famous example thereof is the classical…

Data Structures and Algorithms · Computer Science 2011-07-28 Rico Zenklusen

Behavior Trees (BTs) provide a structured and reactive framework for decision-making, commonly used to switch between sub-controllers based on environmental conditions. Reinforcement Learning (RL), on the other hand, can learn near-optimal…

Artificial Intelligence · Computer Science 2026-02-12 Finn Rietz , Mart Kartašev , Petter Ögren , Johannes A. Stork

This paper considers distribution systems with a high penetration of distributed, renewable generation and addresses the problem of incorporating the associated uncertainty into the optimal operation of these networks. Joint chance…

Optimization and Control · Mathematics 2019-03-07 Kyri Baker , Andrey Bernstein

We consider Lie and Strang splitting for the time integration of constrained partial differential equations with a nonlinear reaction term. Since such systems are known to be sensitive with respect to perturbations, the splitting procedure…

Numerical Analysis · Mathematics 2016-07-27 Robert Altmann , Alexander Ostermann

Dynamic real-time optimization (DRTO) is a challenging task due to the fact that optimal operating conditions must be computed in real time. The main bottleneck in the industrial application of DRTO is the presence of uncertainty. Many…

Constraint propagation is one of the techniques central to the success of constraint programming. To reduce search, fast algorithms associated with each constraint prune the domains of variables. With global (or non-binary) constraints, the…

Artificial Intelligence · Computer Science 2009-03-09 Christian Bessiere , Emmanuel Hebrard , Brahim Hnich , Toby Walsh

This paper investigates the reconfiguration variant of the Constraint Satisfaction Problem (CSP), referred to as the Reconfiguration CSP (RCSP). Given a CSP instance and two of its solutions, RCSP asks whether one solution can be…

Data Structures and Algorithms · Computer Science 2026-03-06 Kei Kimura