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To model combinatorial decision problems involving uncertainty and probability, we introduce stochastic constraint programming. Stochastic constraint programs contain both decision variables (which we can set) and stochastic variables…

Artificial Intelligence · Computer Science 2009-03-09 Toby Walsh

Random constraint satisfaction problems (CSP) have been studied extensively using statistical physics techniques. They provide a benchmark to study average case scenarios instead of the worst case one. The interplay between statistical…

Disordered Systems and Neural Networks · Physics 2017-06-06 Silvio Franz , Giorgio Parisi , Maksim Sevelev , Pierfrancesco Urbani , Francesco Zamponi

We introduce statistical constraints, a declarative modelling tool that links statistics and constraint programming. We discuss two statistical constraints and some associated filtering algorithms. Finally, we illustrate applications to…

Artificial Intelligence · Computer Science 2014-09-09 Roberto Rossi , Steven Prestwich , S. Armagan Tarim

The paper presents an algebraic framework for optimization problems expressible as Valued Constraint Satisfaction Problems. Our results generalize the algebraic framework for the decision version (CSPs) provided by Bulatov et al. [SICOMP…

Computational Complexity · Computer Science 2016-05-03 Marcin Kozik , Joanna Ochremiak

A central challenge of applying near-term quantum optimization algorithms to industrially relevant problems is the need to incorporate complex constraints. In general, such constraints cannot be easily encoded in the circuit, and the…

Quantum Physics · Physics 2023-04-18 Tianyi Hao , Ruslan Shaydulin , Marco Pistoia , Jeffrey Larson

We show that several important resource allocation problems in wireless networks fit within the common framework of Constraint Satisfaction Problems (CSPs). Inspired by the requirements of these applications, where variables are located at…

Artificial Intelligence · Computer Science 2013-09-19 K. R. Duffy , C. Bordenave , D. J. Leith

Building on a result of Larose and Tesson for constraint satisfaction problems (CSP s), we uncover a dichotomy for the quantified constraint satisfaction problem QCSP(B), where B is a finite structure that is a core. Specifically, such…

Computational Complexity · Computer Science 2011-02-18 Barnaby Martin

Promise Constraint Satisfaction Problems (PCSP) were proposed recently by Brakensiek and Guruswami arXiv:1704.01937 as a framework to study approximations for Constraint Satisfaction Problems (CSP). Informally a PCSP asks to distinguish…

Computational Complexity · Computer Science 2020-03-18 Guofeng Deng , Ezzeddine El Sai , Trevor Manders , Peter Mayr , Poramate Nakkirt , Athena Sparks

Neural processes are a family of probabilistic models that inherit the flexibility of neural networks to parameterize stochastic processes. Despite providing well-calibrated predictions, especially in regression problems, and quick…

Machine Learning · Computer Science 2023-07-04 Peiman Mohseni , Nick Duffield , Bani Mallick , Arman Hasanzadeh

Constrained generative modeling is fundamental to applications such as robotic control and autonomous driving, where models must respect physical laws and safety-critical constraints. In real-world settings, these constraints rarely take…

Machine Learning · Computer Science 2026-03-10 Xiaoxuan Liang , Saeid Naderiparizi , Yunpeng Liu , Berend Zwartsenberg , Frank Wood

Optimization of complex functions, such as the output of computer simulators, is a difficult task that has received much attention in the literature. A less studied problem is that of optimization under unknown constraints, i.e., when the…

Methodology · Statistics 2010-07-06 Robert B. Gramacy , Herbert K. H. Lee

With the growing interest in quantum programs, ensuring their correctness is a fundamental challenge. Although constraint-solving techniques can overcome some limitations of traditional testing and verification, they have not yet been…

Quantum Physics · Physics 2026-02-25 Shangzhou Xia , Haitao Fu , Jianjun Zhao

The Constraint Satisfaction Problem (CSP) is a central and generic computational problem which provides a common framework for many theoretical and practical applications. A central line of research is concerned with the identification of…

Data Structures and Algorithms · Computer Science 2015-07-21 Robert Ganian , M. S. Ramanujan , Stefan Szeider

In this work, we focus on the Partial Constraint Satisfaction Problem (PCSP) over control-flow graphs (CFGs) of programs. PCSP serves as a generalization of the well-known Constraint Satisfaction Problem (CSP). In the CSP framework, we…

Computation and Language · Computer Science 2026-02-04 Xuran Cai , Amir Goharshady

The use of emergent constraints to quantify uncertainty for key policy relevant quantities such as Equilibrium Climate Sensitivity (ECS) has become increasingly widespread in recent years. Many researchers, however, claim that emergent…

Applications · Statistics 2020-02-19 Daniel B. Williamson , Philip G. Sansom

A classic result due to Schaefer (1978) classifies all constraint satisfaction problems (CSPs) over the Boolean domain as being either in $\mathsf{P}$ or $\mathsf{NP}$-hard. This paper considers a promise-problem variant of CSPs called…

Computational Complexity · Computer Science 2021-05-07 Joshua Brakensiek , Venkatesan Guruswami

CSP sparsification, introduced by Kogan and Krauthgamer (ITCS 2015), considers the following question: how much can an instance of a constraint satisfaction problem be sparsified (by retaining a reweighted subset of the constraints) while…

Data Structures and Algorithms · Computer Science 2024-11-07 Sanjeev Khanna , Aaron L. Putterman , Madhu Sudan

An instance of the Valued Constraint Satisfaction Problem (VCSP) is given by a finite set of variables, a finite domain of labels, and a sum of functions, each function depending on a subset of the variables. Each function can take finite…

Computational Complexity · Computer Science 2017-02-14 Vladimir Kolmogorov , Andrei Krokhin , Michal Rolinek

Constraint Satisfaction Problem (CSP) is a fundamental algorithmic problem that appears in many areas of Computer Science. It can be equivalently stated as computing a homomorphism $\mbox{$\bR \rightarrow \bGamma$}$ between two relational…

Computational Complexity · Computer Science 2015-10-27 Vladimir Kolmogorov , Michal Rolinek , Rustem Takhanov

Constraint Programming (CP) has been successfully used to model and solve complex combinatorial problems. However, modeling is often not trivial and requires expertise, which is a bottleneck to wider adoption. In Constraint Acquisition…

Artificial Intelligence · Computer Science 2023-12-19 Dimos Tsouros , Senne Berden , Tias Guns
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