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Constraint programming is known for being an efficient approach for solving combinatorial problems. Important design choices in a solver are the branching heuristics, which are designed to lead the search to the best solutions in a minimum…

Artificial Intelligence · Computer Science 2024-04-17 Tom Marty , Tristan François , Pierre Tessier , Louis Gauthier , Louis-Martin Rousseau , Quentin Cappart

Modeling scheduling problems with conditional time intervals and cumulative functions has become a common approach when using modern commercial constraint programming solvers. This paradigm enables the modeling of a wide range of scheduling…

Artificial Intelligence · Computer Science 2025-12-09 Pierre Schaus , Charles Thomas , Roger Kameugne

In real-world control applications, actuator constraints and output constraints (specifically in tracking problems) are inherent and critical to ensuring safe and reliable operation. However, generally, control strategies often neglect…

Systems and Control · Electrical Eng. & Systems 2025-04-17 Saurabh Kumar , Shashi Ranjan Kumar , Abhinav Sinha

We propose a general approach to directly implement rate constraints on the discretization mesh for all collocation methods, for both state and input variables. Unlike conventional approaches that may lead to singular control arcs, the…

Optimization and Control · Mathematics 2021-12-16 Yuanbo Nie , Eric Kerrigan

Many combinatorial optimization problems can be phrased in the language of constraint satisfaction problems. We introduce a graph neural network architecture for solving such optimization problems. The architecture is generic; it works for…

Artificial Intelligence · Computer Science 2020-02-12 Jan Toenshoff , Martin Ritzert , Hinrikus Wolf , Martin Grohe

Computational models are quantitative representations of systems. By analyzing and comparing the outputs of such models, it is possible to gain a better understanding of the system itself. Though as the complexity of model outputs…

Machine Learning · Computer Science 2022-12-13 Colin G. Cess , Stacey D. Finley

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 2015-02-10 Evgenij Thorstensen

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 present an approach for designing correct-by-construction neural networks (and other machine learning models) that are guaranteed to be consistent with a collection of input-output specifications before, during, and after algorithm…

Machine Learning · Computer Science 2020-01-31 Stephen Mell , Olivia Brown , Justin Goodwin , Sung-Hyun Son

Direct modeling is a very recent CAD paradigm that can provide unprecedented modeling flexibility. It, however, lacks the parametric capability, which is indispensable to modern CAD systems. For direct modeling to have this capability, an…

Computational Geometry · Computer Science 2020-04-02 Qiang Zou , Hsi-Yung Feng

Detailed modeling of processors and high performance cycle-accurate simulators are essential for today's hardware and software design. These problems are challenging enough by themselves and have seen many previous research efforts.…

Hardware Architecture · Computer Science 2011-11-09 Mehrdad Reshadi , Nikil Dutt

Neural networks can emulate nonlinear physical systems with high accuracy, yet they may produce physically-inconsistent results when violating fundamental constraints. Here, we introduce a systematic way of enforcing nonlinear analytic…

Computational Physics · Physics 2021-03-10 Tom Beucler , Michael Pritchard , Stephan Rasp , Jordan Ott , Pierre Baldi , Pierre Gentine

Constraint programming (CP) is a powerful tool for modeling mathematical concepts and objects and finding both solutions or counter examples. One of the major strengths of CP is that problems can easily be combined or expanded. In this…

Discrete Mathematics · Computer Science 2025-01-29 Ruth Hoffmann , Özgür Akgün , Christopher Jefferson

We propose a combinatorial method for computing explicit solutions to multi-parametric quadratic programs, which can be used to compute explicit control laws for linear model predictive control. In contrast to classical methods, which are…

Optimization and Control · Mathematics 2024-04-09 Daniel Arnström , Daniel Axehill

Model reduction, which aims to learn a simpler model of the original mixed integer linear programming (MILP), can solve large-scale MILP problems much faster. Most existing model reduction methods are based on variable reduction, which…

Machine Learning · Computer Science 2026-02-04 Jiajun Li , Yixuan Li , Ran Hou , Yu Ding , Shisi Guan , Jiahui Duan , Xiongwei Han , Tao Zhong , Vincent Chau , Weiwei Wu , Wanyuan Wang

Linear constraints are the linear counterpart of Haskell's class constraints. Linearly typed parameters allow the programmer to control resources such as file handles and manually managed memory as linear arguments. Indeed, a linear type…

Programming Languages · Computer Science 2026-04-24 Arnaud Spiwack , Csongor Kiss , Jean-Philippe Bernardy , Nicolas Wu , Richard A. Eisenberg

This paper proposes a design for a system to generate constraint solvers that are specialised for specific problem models. It describes the design in detail and gives preliminary experimental results showing the feasibility and…

Artificial Intelligence · Computer Science 2010-02-02 Lars Kotthoff

We introduce CODS (Computational Optimization in Design Space), a theoretical model that frames computational design as a constrained optimization problem over a structured, multi-dimensional design space. Unlike existing methods that rely…

Human-Computer Interaction · Computer Science 2025-06-24 Nan Cao , Xiaoyu Qi , Chuer Chen , Xiaoke Yan

Techniques for simulating molecules whose conformations satisfy constraints are presented. A method for selecting appropriate moves in Monte Carlo simulations is given. The resulting moves not only obey the constraints but also maintain…

Computational Physics · Physics 2007-05-23 Charles F. F. Karney , Jason E. Ferrara

This paper introduces a new mechanism for specifying constraints in distributed workflows. By introducing constraints in a contextual form, it is shown how different people and groups within collaborative communities can cooperatively…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 G. E. Graham , M. Anzar Afaq , David Evans , Gerald Guglielmo , Eric Wicklund , Peter Love