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We survey optimization problems that involve the cardinality of variable vectors in constraints or the objective function. We provide a unified viewpoint on the general problem classes and models, and give concrete examples from diverse…

最优化与控制 · 数学 2022-08-09 Andreas M. Tillmann , Daniel Bienstock , Andrea Lodi , Alexandra Schwartz

The goal of this paper is to set a constraint programming framework to solve lot-sizing problems. More specifically, we consider a single-item lot-sizing problem with time-varying lower and upper bounds for production and inventory. The…

最优化与控制 · 数学 2019-07-05 Grigori German , Hadrien Cambazard , Jean-Philippe Gayon , Bernard Penz

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…

人工智能 · 计算机科学 2025-09-24 Pierre Montalbano , Simon de Givry , George Katsirelos

Estimation of density functions supported on general domains arises when the data is naturally restricted to a proper subset of the real space. This problem is complicated by typically intractable normalizing constants. Score matching…

统计方法学 · 统计学 2020-09-25 Shiqing Yu , Mathias Drton , Ali Shojaie

This paper considers the minimization of a continuously differentiable function over a cardinality constraint. We focus on smooth and relatively smooth functions. These smoothness criteria result in new descent lemmas. Based on the new…

最优化与控制 · 数学 2024-09-26 Fatih Selim Aktas , Mustafa Celebi Pinar

I propose a new method to study computationally difficult problems. I consider a new system, larger than the one I want to simulate. The original system is recovered by imposing constraints on the large system. I simulate the large system…

无序系统与神经网络 · 物理学 2009-11-10 Nicolas Sourlas

Reduction of combinatorial filters involves compressing state representations that robots use. Such optimization arises in automating the construction of minimalist robots. But exact combinatorial filter reduction is an NP-complete problem…

机器人学 · 计算机科学 2020-11-09 Yulin Zhang , Hazhar Rahmani , Dylan A. Shell , Jason M. O'Kane

We propose a new global SPACING constraint that is useful in modeling events that are distributed over time, like learning units scheduled over a study program or repeated patterns in music compositions. First, we investigate theoretical…

计算机科学中的逻辑 · 计算机科学 2013-03-26 Nina Narodytska , Peter Skocovsky , Toby Walsh

Soft constraints extend classical constraints to represent multiple consistency levels, and thus provide a way to express preferences, fuzziness, and uncertainty. While there are many soft constraint solving formalisms, even distributed…

编程语言 · 计算机科学 2018-02-27 S. Bistarelli , U. Montanari , F. Rossi

Constraint programming (CP) has been used with great success to tackle a wide variety of constraint satisfaction problems which are computationally intractable in general. Global constraints are one of the important factors behind the…

人工智能 · 计算机科学 2009-03-04 Alan Frisch , Brahim Hnich , Zeynep Kiziltan , Ian Miguel , Toby Walsh

A new technique is presented for modifying the Einstein evolution equations off the constraint hypersurface. With this approach the evolution equations for the constraints can be specified freely. The equations of motion for the…

广义相对论与量子宇宙学 · 物理学 2009-11-11 J. David Brown , Lisa L. Lowe

We introduce a novel generative formulation of deep probabilistic models implementing "soft" constraints on their function dynamics. In particular, we develop a flexible methodological framework where the modeled functions and derivatives…

机器学习 · 统计学 2018-06-19 Marco Lorenzi , Maurizio Filippone

Global constraints and reranking have not been used in cognates detection research to date. We propose methods for using global constraints by performing rescoring of the score matrices produced by state of the art cognates detection…

计算与语言 · 计算机科学 2017-08-22 Michael Bloodgood , Benjamin Strauss

We consider convex constrained optimization problems that also include a cardinality constraint. In general, optimization problems with cardinality constraints are difficult mathematical programs which are usually solved by global…

最优化与控制 · 数学 2022-09-08 Nataša Krejić , Evelin H. M. Krulikovski , Marcos Raydan

Some metric and graphical regularity properties of generalized constraint systems are investigated. Then, these properties are applied in order to penalize (in the sense of Clarke) various scalar and vector optimization problems. This…

最优化与控制 · 数学 2011-11-08 Marius Durea , Radu Strugariu

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…

机器学习 · 计算机科学 2023-01-30 Adel Bibi , Ali Alqahtani , Bernard Ghanem

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…

人工智能 · 计算机科学 2013-07-09 Evgenij Thorstensen

We show that tools from circuit complexity can be used to study decompositions of global constraints. In particular, we study decompositions of global constraints into conjunctive normal form with the property that unit propagation on the…

人工智能 · 计算机科学 2009-05-26 Christian Bessiere , George Katsirelos , Nina Narodytska , Toby Walsh

Classifiers can be trained with data-dependent constraints to satisfy fairness goals, reduce churn, achieve a targeted false positive rate, or other policy goals. We study the generalization performance for such constrained optimization…

The best practical techniques for exact solution of instances of the constrained maximum-entropy sampling problem, a discrete-optimization problem arising in the design of experiments, are via a branch-and-bound framework, working with a…

最优化与控制 · 数学 2024-02-19 Zhongzhu Chen , Marcia Fampa , Jon Lee