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This paper studies a class of probabilistic models on graphs, where edge variables depend on incident node variables through a fixed probability kernel. The class includes planted con- straint satisfaction problems (CSPs), as well as more…

Probability · Mathematics 2013-07-01 Emmanuel Abbe , Andrea Montanari

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

This paper presents a constrained-optimization formulation for the prioritized execution of learned robot tasks. The framework lends itself to the execution of tasks encoded by value functions, such as tasks learned using the reinforcement…

Robotics · Computer Science 2023-01-16 Gennaro Notomista

Developing classification algorithms that are fair with respect to sensitive attributes of the data has become an important problem due to the growing deployment of classification algorithms in various social contexts. Several recent works…

Machine Learning · Computer Science 2020-04-16 L. Elisa Celis , Lingxiao Huang , Vijay Keswani , Nisheeth K. Vishnoi

When deploying machine learning solutions, they must satisfy multiple requirements beyond accuracy, such as fairness, robustness, or safety. These requirements are imposed during training either implicitly, using penalties, or explicitly,…

Machine Learning · Computer Science 2024-01-12 Ignacio Hounie , Alejandro Ribeiro , Luiz F. O. Chamon

Many constraint satisfaction and optimisation problems can be solved effectively by encoding them as instances of the Boolean Satisfiability problem (SAT). However, even the simplest types of constraints have many encodings in the…

Artificial Intelligence · Computer Science 2023-11-09 Felix Ulrich-Oltean , Peter Nightingale , James Alfred Walker

Domain-specific constraint patterns are introduced, which form the counterpart to design patterns in software engineering for the constraint programming setting. These patterns describe the expert knowledge and best-practice solution to…

Software Engineering · Computer Science 2022-06-07 Sophia Saller , Jana Koehler

Constraints are powerful declarative constructs that allow users to conveniently restrict variable values that potentially range over an infinite domain. In this paper, we propose a constraint path query language over property graphs, which…

Databases · Computer Science 2025-12-02 Heyang Li , Anthony Widjaja Lin , Domagoj Vrgoč

We study the connection between the order of phase transitions in combinatorial problems and the complexity of decision algorithms for such problems. We rigorously show that, for a class of random constraint satisfaction problems, a limited…

Computational Complexity · Computer Science 2007-05-23 Gabriel Istrate , Stefan Boettcher , Allon G. Percus

We give a fast algorithm for sampling uniform solutions of general constraint satisfaction problems (CSPs) in a local lemma regime. Suppose that the CSP has $n$ variables with domain size at most q, each constraint contains at most k…

Data Structures and Algorithms · Computer Science 2023-03-10 Kun He , Chunyang Wang , Yitong Yin

Deep Learning (DL) models proved themselves to perform extremely well on a wide variety of learning tasks, as they can learn useful patterns from large data sets. However, purely data-driven models might struggle when very difficult…

Machine Learning · Computer Science 2020-05-22 Andrea Borghesi , Federico Baldo , Michela Milano

In many real-world decision making problems, reaching an optimal decision requires taking into account a variable number of objects around the agent. Autonomous driving is a domain in which this is especially relevant, since the number of…

Machine Learning · Computer Science 2020-08-13 Maria Hügle , Gabriel Kalweit , Branka Mirchevska , Moritz Werling , Joschka Boedecker

Constraint programming can definitely be seen as a model-driven paradigm. The users write programs for modeling problems. These programs are mapped to executable models to calculate the solutions. This paper focuses on efficient model…

Artificial Intelligence · Computer Science 2010-02-16 Raphael Chenouard , Laurent Granvilliers , Ricardo Soto

A valued constraint satisfaction problem (VCSP) instance $(V,\Pi,w)$ is a set of variables $V$ with a set of constraints $\Pi$ weighted by $w$. Given a VCSP instance, we are interested in a re-weighted sub-instance $(V,\Pi'\subset \Pi,w')$…

Data Structures and Algorithms · Computer Science 2015-09-08 Arnold Filtser , Robert Krauthgamer

Constraint Programming (CP) offers an intuitive, declarative framework for modeling Vehicle Routing Problems (VRP), yet classical CP models based on successor variables cannot always deal with optional visits or insertion based heuristics.…

Artificial Intelligence · Computer Science 2025-10-13 Augustin Delecluse , Pierre Schaus , Pascal Van Hentenryck

Dynamic mechanism design is a challenging extension to ordinary mechanism design in which the mechanism designer must make a sequence of decisions over time in the face of possibly untruthful reports of participating agents. Optimizing…

Computer Science and Game Theory · Computer Science 2025-02-18 Michael Curry , Vinzenz Thoma , Darshan Chakrabarti , Stephen McAleer , Christian Kroer , Tuomas Sandholm , Niao He , Sven Seuken

We initiate a systematic study of the computational complexity of the Constraint Satisfaction Problem (CSP) over finite structures that may contain both relations and operations. We show the close connection between this problem and a…

Logic in Computer Science · Computer Science 2021-12-02 Libor Barto , William DeMeo , Antoine Mottet

We study the fixed points of outer-totalistic cellular automata on sparse random regular graphs. These can be seen as constraint satisfaction problems, where each variable must adhere to the same local constraint, which depends solely on…

Disordered Systems and Neural Networks · Physics 2024-12-06 Cédric Koller , Freya Behrens , Lenka Zdeborová

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

Constraint satisfaction problems have been studied in numerous fields with practical and theoretical interests. In recent years, major breakthroughs have been made in a study of counting constraint satisfaction problems (or #CSPs). In…

Computational Complexity · Computer Science 2012-10-23 Tomoyuki Yamakami