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The talk describes a general approach of a genetic algorithm for multiple objective optimization problems. A particular dominance relation between the individuals of the population is used to define a fitness operator, enabling the genetic…

Artificial Intelligence · Computer Science 2008-09-03 Martin Josef Geiger

Let $\cO$ be a maximal order in a definite quaternion algebra over $\mathbb{Q}$ of prime discriminant $p$, and $\ell$ a small prime. We describe a probabilistic algorithm, which for a given left $O$-ideal, computes a representative in its…

Number Theory · Mathematics 2014-06-05 David Kohel , Kristin Lauter , Christophe Petit , Jean-Pierre Tignol

In the study of deterministic distributed algorithms it is commonly assumed that each node has a unique $O(\log n)$-bit identifier. We prove that for a general class of graph problems, local algorithms (constant-time distributed algorithms)…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-24 Mika Göös , Juho Hirvonen , Jukka Suomela

This paper presents a genetic-based hybrid algorithm that combines the exploration power of Genetic Algorithm (GA) with the exploitation capacity of a phenotypical probabilistic local search algorithm. Though not limited to a certain class…

Optimization and Control · Mathematics 2016-11-26 Reza Najian Asl , Mohamad Aslani , Masoud Shariat Panahi

This paper presents a new type of genetic algorithm for the set covering problem. It differs from previous evolutionary approaches first because it is an indirect algorithm, i.e. the actual solutions are found by an external decoder…

Neural and Evolutionary Computing · Computer Science 2010-07-05 Uwe Aickelin

We give lower bounds for various natural node- and edge-based local strategies for exploring a graph. We consider this problem both in the setting of an arbitrary graph as well as the abstraction of a geometric exploration of a space by a…

Computational Geometry · Computer Science 2016-03-21 Aditya Kumar Akash , Sandor P. Fekete , Seoung Kyou Lee , Alejandro Lopez-Ortiz , Daniela Maftuleac , James McLurkin

K-means Fast Learning Artificial Neural Network (K-FLANN) is an unsupervised neural network requires two parameters: tolerance and vigilance. Best Clustering results are feasible only by finest parameters specified to the neural network.…

Neural and Evolutionary Computing · Computer Science 2013-12-23 suneetha chittineni , Raveendra Babu Bhogapathi

An implementation and an application of the combination of the genetic algorithm and Newton's method for solving a system of nonlinear equations is presented. The method first uses the advantage of the robustness of the genetic algorithm…

Numerical Analysis · Mathematics 2020-07-13 Ryuji Koshikawa , Akira Terui , Masahiko Mikawa

The dose delivered to the planning target volume by proton beams is highly conformal, sparing organs at risk and normal tissues. New treatment planning systems adapted to spot scanning techniques have been recently proposed to…

Medical Physics · Physics 2022-05-18 François Smekens , Nicolas Freud , Bruno Sixou , Guillaume Beslon , Jean M Létang

Local search algorithms and iterated local search algorithms are a basic technique. Local search can be a stand along search methods, but it can also be hybridized with evolutionary algorithms. Recently, it has been shown that it is…

Artificial Intelligence · Computer Science 2016-01-29 Francisco Chicano , Darrell Whitley , Renato Tinos

We attempt to better understand randomization in local distributed graph algorithms by exploring how randomness is used and what we can gain from it: - We first ask the question of how much randomness is needed to obtain efficient…

Data Structures and Algorithms · Computer Science 2019-06-04 Mohsen Ghaffari , Fabian Kuhn

Software testing involves identifying the test cases whichdiscover errors in the program. However, exhaustive testing ofsoftware is very time consuming. In this paper, a technique isproposed to prioritize test case scenarios by identifying…

Software Engineering · Computer Science 2014-10-21 Chayanika Sharma , Sangeeta Sabharwal , Ritu Sibal

We propose a unifying framework for smoothed analysis of combinatorial local optimization problems, and show how a diverse selection of problems within the complexity class PLS can be cast within this model. This abstraction allows us to…

Computational Complexity · Computer Science 2025-09-24 Yiannis Giannakopoulos , Alexander Grosz , Themistoklis Melissourgos

In real-time trajectory planning for unmanned vehicles, on-board sensors, radars and other instruments are used to collect information on possible obstacles to be avoided and pathways to be followed. Since, in practice, observations of the…

Methodology · Statistics 2013-09-25 Adriano Zanin Zambom , Julian A. A. Collazos , Ronaldo Dias

Applying local search algorithms to combinatorial optimization problems is not an easy feat. Typically, human intervention is required to compile the constraints to input data for some metaheuristic algorithm. In this paper, we establish a…

Artificial Intelligence · Computer Science 2026-05-20 Jo Devriendt , Patrick De Causmaecker , Marc Denecker

Working with exhaustive search on large dataset is infeasible for several reasons. Recently, developed techniques that made pattern set mining feasible by a general solver with long execution time that supports heuristic search and are…

Artificial Intelligence · Computer Science 2015-07-21 Shanjida Khatun , Hasib Ul Alam , Swakkhar Shatabda

Over the past 30 years numerous algorithms have been designed for symmetry breaking problems in the LOCAL model, such as maximal matching, MIS, vertex coloring, and edge-coloring. For most problems the best randomized algorithm is at least…

Computational Complexity · Computer Science 2016-04-07 Yi-Jun Chang , Tsvi Kopelowitz , Seth Pettie

Nowadays genetic algorithm (GA) is greatly used in engineering pedagogy as an adaptive technique to learn and solve complex problems and issues. It is a meta-heuristic approach that is used to solve hybrid computation challenges. GA…

Other Computer Science · Computer Science 2020-07-27 Tanweer Alam , Shamimul Qamar , Amit Dixit , Mohamed Benaida

Grover's algorithm is a quantum query algorithm solving the unstructured search problem of size $N$ using $O(\sqrt{N})$ queries. It provides a significant speed-up over any classical algorithm \cite{Gro96}. The running time of the…

Quantum Physics · Physics 2015-08-24 Dmitry Kravchenko , Nikolajs Nahimovs , Alexander Rivosh

Evolutionary algorithms, inspired by natural evolution, aim to optimize difficult objective functions without computing derivatives. Here we detail the relationship between population genetics and evolutionary optimization and formulate a…

Populations and Evolution · Quantitative Biology 2023-07-19 Jakub Otwinowski , Colin LaMont
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