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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

Mappings to structured output spaces (strings, trees, partitions, etc.) are typically learned using extensions of classification algorithms to simple graphical structures (eg., linear chains) in which search and parameter estimation can be…

Machine Learning · Computer Science 2009-07-07 Hal Daumé , Daniel Marcu

Automated machine learning has gained a lot of attention recently. Building and selecting the right machine learning models is often a multi-objective optimization problem. General purpose machine learning software that simultaneously…

Machine Learning · Computer Science 2019-08-15 Steven Gardner , Oleg Golovidov , Joshua Griffin , Patrick Koch , Wayne Thompson , Brett Wujek , Yan Xu

We propose a new globalization strategy that can be used in unconstrained optimization algorithms to support rapid convergence from remote starting points. Our approach is based on using multiple points at each iteration to build a…

Optimization and Control · Mathematics 2017-05-16 Figen Öztoprak , Ş. İlker Birbil

Finite automata (FA) are a fundamental computational abstraction that is widely used in practice for various tasks in computer science, linguistics, biology, electrical engineering, and artificial intelligence. Given an input word, an FA…

Artificial Intelligence · Computer Science 2026-04-22 Jaime Cuartas Granada , Alexey Ignatiev , Peter J. Stuckey

Recently, the problem of obtaining a short regular expression equivalent to a given finite automaton has been intensively investigated. Algorithms for converting finite automata to regular expressions have an exponential blow-up in the…

Formal Languages and Automata Theory · Computer Science 2010-08-11 Nelma Moreira , Davide Nabais , Rogério Reis

Matrix approximation is a common tool in machine learning for building accurate prediction models for recommendation systems, text mining, and computer vision. A prevalent assumption in constructing matrix approximations is that the…

Machine Learning · Computer Science 2013-01-16 Joonseok Lee , Seungyeon Kim , Guy Lebanon , Yoram Singer

High-dimensional black-box optimisation remains an important yet notoriously challenging problem. Despite the success of Bayesian optimisation methods on continuous domains, domains that are categorical, or that mix continuous and…

Machine Learning · Statistics 2021-06-11 Xingchen Wan , Vu Nguyen , Huong Ha , Binxin Ru , Cong Lu , Michael A. Osborne

Low-rank approximation of a matrix by means of random sampling has been consistently efficient in its empirical studies by many scientists who applied it with various sparse and structured multipliers, but adequate formal support for this…

Numerical Analysis · Mathematics 2016-06-07 Victor Y. Pan , Liang Zhao

We introduce a new tool, called the orbit automaton, that describes the action of an automaton group $G$ on the subtrees corresponding to the orbits of $G$ on levels of the tree. The connection between $G$ and the groups generated by the…

Group Theory · Mathematics 2014-12-04 Ines Klimann , Matthieu Picantin , Dmytro Savchuk

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

In the present paper, some aspects of the finite-dimensional theory of set-inclusive generalized equations are studied. Set-inclusive generalized equations are problems arising in several contexts of optimization and variational analysis,…

Optimization and Control · Mathematics 2018-11-26 Amos Uderzo

Evolutionary strategies have recently been shown to achieve competing levels of performance for complex optimization problems in reinforcement learning. In such problems, one often needs to optimize an objective function subject to a set of…

Neural and Evolutionary Computing · Computer Science 2022-02-23 Youssef Diouane , Aurelien Lucchi , Vihang Patil

Set constraints provide a highly general way to formulate program analyses. However, solving arbitrary boolean combinations of set constraints is NEXPTIME-hard. Moreover, while theoretical algorithms to solve arbitrary set constraints…

Programming Languages · Computer Science 2020-03-03 Joseph Eremondi

Discovering significant itemsets is one of the fundamental problems in data mining. It has recently been shown that constraint programming is a flexible way to tackle data mining tasks. With a constraint programming approach, we can easily…

Artificial Intelligence · Computer Science 2018-02-09 Christian Bessiere , Nadjib Lazaar , Yahia Lebbah , Mehdi Maamar

The use of semantic features can improve the efficiency of target search in unknown environments for robotic search and rescue missions. Current target search methods rely on training with large datasets of similar domains, which limits the…

Robotics · Computer Science 2026-04-01 Max Lodel , Nils Wilde , Robert Babuška , Javier Alonso-Mora

Local search algorithms use the neighborhood relations among search states and often perform well for a variety of NP-hard combinatorial search problems. This paper shows how quantum computers can also use these neighborhood relations. An…

Quantum Physics · Physics 2007-05-23 Tad Hogg , Mehmet Yanik

Given a deterministic finite automaton and its implementation with at most one single fault, that we can test on a set of inputs, we provide an algorithm to find a test set that guarantees finding whether the fault exists.

Formal Languages and Automata Theory · Computer Science 2021-06-02 Artur Polański , Eryk Lipka

Determinisation and completion of finite tree automata are important operations with applications in program analysis and verification. However, the complexity of the classical procedures for determinisation and completion is high. They are…

Formal Languages and Automata Theory · Computer Science 2017-11-02 John P. Gallagher , Mai Ajspur , Bishoksan Kafle

Compared with constraint satisfaction problems, counting problems have received less attention. In this paper, we survey research works on the problems of counting the number of solutions to constraints. The constraints may take various…

Artificial Intelligence · Computer Science 2020-12-29 Jian Zhang , Cunjing Ge , Feifei Ma