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A genetic algorithm (GA) is a search-based optimization technique based on the principles of Genetics and Natural Selection. We present an algorithm which enhances the classical GA with input from quantum annealers. As in a classical GA,…

Quantum Physics · Physics 2022-09-16 Steven Abel , Luca A. Nutricati , Michael Spannowsky

In return for the long-standing contributions of Physics to Biology, now the inverse way is frequently traveled through in order to think about many physics phenomena. In this vein, evolutionary algorithms, particularly genetic algorithms,…

Statistical Mechanics · Physics 2007-05-23 Cesar O. Stoico , Danilo G. Renzi , Fernando Vericat

We introduce a categorical language in which it is possible to talk about DNA sequencing, alignment methods, CRISPR, homologous recombination, haplotypes, and genetic linkage. This language takes the form of a class of limit-sketches whose…

Category Theory · Mathematics 2018-05-21 Rémy Tuyéras

This work discusses single-objective constrained genetic algorithm with floating-point, integer, binary and permutation representation. Floating-point genetic algorithm tuning with use of test functions is done and leads to a…

Neural and Evolutionary Computing · Computer Science 2022-10-10 Tomasz Tarkowski

The genetic code is the set of rules by which information encoded in genetic material (DNA or RNA sequences) is translated into proteins (amino acid sequences) by living cells. The code defines a mapping between tri-nucleotide sequences,…

Other Quantitative Biology · Quantitative Biology 2015-12-03 Jayanta Kumar Das , Atrayee Majumder , Pabitra Pal Choudhury

We investigate the ability of a genetic algorithm to design cellular automata that perform computations. The computational strategies of the resulting cellular automata can be understood using a framework in which ``particles'' embedded in…

adap-org · Physics 2015-06-30 James P. Crutchfield , Melanie Mitchell , Rajarshi Das

The genetic algorithm is an optimization procedure motivated by biological evolution and is successfully applied to optimization problems in different areas. A statistical mechanics model for its dynamics is proposed based on the…

Statistical Mechanics · Physics 2009-10-31 Stefan Bornholdt

In the context of evolutionary quantum computing in the literal meaning, a quantum crossover operation has not been introduced so far. Here, we introduce a novel quantum genetic algorithm which has a quantum crossover procedure performing…

Neural and Evolutionary Computing · Computer Science 2014-02-05 Akira SaiToh , Robabeh Rahimi , Mikio Nakahara

A coding of functions that allows a genetic algorithm to minimize functionals without analytic trial functions is presented and implemented for solving numerically some instances of variational problems from physics.

Computational Physics · Physics 2007-05-23 Carlos D. Toledo

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

Crossover is the process of recombining the genetic features of two parents. For many applications where crossover is applied to permutations, relevant genetic features are pairs of adjacent elements, also called edges in the permutation…

Neural and Evolutionary Computing · Computer Science 2020-05-05 Adriaan Merlevede , Carl Troein

The deterministic selection-recombination equation describes the evolution of the genetic type composition of a population under selection and recombination in a law of large numbers regime. So far, an explicit solution has seemed out of…

Probability · Mathematics 2023-04-26 Ellen Baake , Frederic Alberti

We introduce a general notion of quantum universal enveloping algebroids (QUE algebroids), or quantum groupoids, as a unification of quantum groups and star-products. Some basic properties are studied including the twist construction and…

Quantum Algebra · Mathematics 2016-09-07 Ping Xu

Genetic algorithms constitute a family of black-box optimization algorithms, which take inspiration from the principles of biological evolution. While they provide a general-purpose tool for optimization, their particular instantiations can…

Neural and Evolutionary Computing · Computer Science 2023-04-11 Robert Tjarko Lange , Tom Schaul , Yutian Chen , Chris Lu , Tom Zahavy , Valentin Dalibard , Sebastian Flennerhag

Garside calculus is the common mechanism that underlies a certain type of normal form for the elements of a monoid, a group, or a category. Originating from Garside's approach to Artin's braid groups, it has been extended to more and more…

Group Theory · Mathematics 2014-02-25 Patrick Dehornoy , Volker Gebhardt

We present an algorithm for generating all derivative superstructures--for arbitrary parent structures and for any number of atom types. This algorithm enumerates superlattices and atomic configurations in a geometry-independent way. The…

Materials Science · Physics 2014-12-18 Gus L. W. Hart , Rodney W. Forcade

In this paper we discuss a genetic version (GWA) of the Whitehead's algorithm, which is one of the basic algorithms in combinatorial group theory. It turns out that GWA is surprisingly fast and outperforms the standard Whitehead's algorithm…

Group Theory · Mathematics 2007-05-23 Alexei D. Miasnikov , Alexei G. Myasnikov

Genetic algorithms (GAs) emulate the process of biological evolution, in a computational setting, in order to generate good solutions to difficult search and optimisation problems. GA-based optimisers tend to be extremely robust and…

Instrumentation and Methods for Astrophysics · Physics 2012-02-09 Vinesh Rajpaul

We propose a cooperative coevolutionary genetic algorithm for learning Bayesian network structures from fully observable data sets. Since this problem can be decomposed into two dependent subproblems, that is to find an ordering of the…

Neural and Evolutionary Computing · Computer Science 2013-05-29 Arthur Carvalho

Modern generative machine learning models demonstrate surprising ability to create realistic outputs far beyond their training data, such as photorealistic artwork, accurate protein structures, or conversational text. These successes…

Machine Learning · Computer Science 2024-01-17 William Gilpin