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This paper presents an algorithm that achieves hyper-arc consistency for the soft alldifferent constraint. To this end, we prove and exploit the equivalence with a minimum-cost flow problem. Consistency of the constraint can be checked in…

Programming Languages · Computer Science 2007-05-23 Willem Jan van Hoeve

Constraint Acquisition (CA) aims to widen the use of constraint programming by assisting users in the modeling process. However, most CA methods suffer from a significant drawback: they learn a single set of individual constraints for a…

Artificial Intelligence · Computer Science 2024-12-20 Dimos Tsouros , Senne Berden , Steven Prestwich , Tias Guns

We study single-stage decision problems in which a subset of items with minimum total cost has to be selected at once from a given set of items, subject to two costs of each item -fixed and uncertain -and cardinality constraints for each…

Optimization and Control · Mathematics 2025-11-04 Antoine Lhomme , Nadia Brauner , Evgeny Gurevsky , Mikhail Kovalyov , Erwin Pesch

Assigning jobs onto identical machines with the objective to minimize the maximal load is one of the most basic problems in combinatorial optimization. Motivated by product planing and data placement, we study a natural extension called…

Data Structures and Algorithms · Computer Science 2019-09-27 Klaus Jansen , Alexandra Lassota , Marten Maack

In our implementation of geometric resolution, the most costly operation is subsumption testing (or matching): One has to decide for a three-valued, geometric formula, if this formula is false in a given interpretation. The formula contains…

Logic in Computer Science · Computer Science 2023-06-22 Hans de Nivelle

We describe soft versions of the global cardinality constraint and the regular constraint, with efficient filtering algorithms maintaining domain consistency. For both constraints, the softening is achieved by augmenting the underlying…

Artificial Intelligence · Computer Science 2007-05-23 Willem Jan van Hoeve , Gilles Pesant , Louis-Martin Rousseau

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

We introduce a parallel machine scheduling problem in which the processing times of jobs are not given in advance but are determined by a system of linear constraints. The objective is to minimize the makespan, i.e., the maximum job…

Data Structures and Algorithms · Computer Science 2015-10-30 Kameng Nip , Zhenbo Wang , Zizhuo Wang

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…

Robotics · Computer Science 2020-11-09 Yulin Zhang , Hazhar Rahmani , Dylan A. Shell , Jason M. O'Kane

This work focuses on a specific classification problem, where the information about a sample is not readily available, but has to be acquired for a cost, and there is a per-sample budget. Inspired by real-world use-cases, we analyze average…

Machine Learning · Computer Science 2020-03-05 Jaromír Janisch , Tomáš Pevný , Viliam Lisý

Due to the outstanding capability of capturing underlying data distributions, deep learning techniques have been recently utilized for a series of traditional database problems. In this paper, we investigate the possibilities of utilizing…

Databases · Computer Science 2021-09-27 Yaoshu Wang , Chuan Xiao , Jianbin Qin , Xin Cao , Yifang Sun , Wei Wang , Makoto Onizuka

In this work, we demonstrate how to apply non-linear cardinality constraints, important for real-world asset management, to quantum portfolio optimization. This enables us to tackle non-convex portfolio optimization problems using quantum…

We investigate the application of two heuristic methods, genetic algorithms and tabu/scatter search, to the optimisation of realistic portfolios. The model is based on the classical mean-variance approach, but enhanced with floor and…

Other Condensed Matter · Physics 2008-12-02 Franco Busetti

The minimum sum-of-squares clustering (MSSC), or k-means type clustering, has been recently extended to exploit prior knowledge on the cardinality of each cluster. Such knowledge is used to increase performance as well as solution quality.…

Optimization and Control · Mathematics 2023-10-13 Veronica Piccialli , Antonio M. Sudoso

One of the key research interests in the area of Constraint Satisfaction Problem (CSP) is to identify tractable classes of constraints and develop efficient solutions for them. In this paper, we introduce generalized staircase (GS)…

Artificial Intelligence · Computer Science 2013-04-19 Shubhadip Mitra , Partha Dutta , Arnab Bhattacharya

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…

Computation and Language · Computer Science 2017-08-22 Michael Bloodgood , Benjamin Strauss

We study the submodular secretary problem with a cardinality constraint. In this problem, $n$ candidates for secretaries appear sequentially in random order. At the arrival of each candidate, a decision maker must irrevocably decide whether…

Data Structures and Algorithms · Computer Science 2019-05-14 Kaito Fujii

Constraint propagation algorithms form an important part of most of the constraint programming systems. We provide here a simple, yet very general framework that allows us to explain several constraint propagation algorithms in a systematic…

Performance · Computer Science 2007-05-23 Krzysztof R. Apt

Query optimizers rely on accurate cardinality estimation (CardEst) to produce good execution plans. The core problem of CardEst is how to model the rich joint distribution of attributes in an accurate and compact manner. Despite decades of…

Databases · Computer Science 2021-05-20 Rong Zhu , Ziniu Wu , Yuxing Han , Kai Zeng , Andreas Pfadler , Zhengping Qian , Jingren Zhou , Bin Cui

In the constrained planarity setting, we ask whether a graph admits a planar drawing that additionally satisfies a given set of constraints. These constraints are often derived from very natural problems; prominent examples are Level…

Data Structures and Algorithms · Computer Science 2023-11-01 Simon D. Fink , Ignaz Rutter
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