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In [1], the authors proposed a new model of DNA storage system that integrates all three steps of retrieval and introduced the concept of DNA-correcting codes, which guarantees that the output of the storage system can be decoded to the…

Information Theory · Computer Science 2023-11-17 Huawei Wu

Genetic algorithms, computer programs that simulate natural evolution, are increasingly applied across many disciplines. They have been used to solve various optimisation problems from neural network architecture search to strategic games,…

Neural and Evolutionary Computing · Computer Science 2021-09-14 Aymeric Vie , Alissa M. Kleinnijenhuis , Doyne J. Farmer

The genetic code refers to a rule that maps 64 codons to 20 amino acids. Nearly all organisms, with few exceptions, share the same genetic code, the standard genetic code (SGC). While it remains unclear why this universal code has arisen…

Populations and Evolution · Quantitative Biology 2023-05-10 Yuji Omachi , Nen Saito , Chikara Furusawa

Genetic algorithms are heuristic optimization techniques inspired by Darwinian evolution, which are characterized by successfully finding robust solutions for optimization problems. Here, we propose a subroutine-based quantum genetic…

Quantum Physics · Physics 2024-06-07 Rubén Ibarrondo , Giancarlo Gatti , Mikel Sanz

Computational complexity is a key limitation of genomic analyses. Thus, over the last 30 years, researchers have proposed numerous fast heuristic methods that provide computational relief. Comparing genomic sequences is one of the most…

The systematics of indices of physico-chemical properties of codons and amino acids across the genetic code are examined. Using a simple numerical labelling scheme for nucleic acid bases, data can be fitted as low-order polynomials of the 6…

Biological Physics · Physics 2009-11-05 J. D. Bashford , P. D. Jarvis

We describe a method that allows, under some hypotheses, to compute all the rational points of some genus 5 curves defined over a number field. This method is used to solve some arithmetic problems that remained open.

Number Theory · Mathematics 2015-11-26 Enrique Gonzalez-Jimenez

To solve Math Word Problems, human students leverage diverse reasoning logic that reaches different possible equation solutions. However, the mainstream sequence-to-sequence approach of automatic solvers aims to decode a fixed solution…

Computation and Language · Computer Science 2022-12-01 Yibin Shen , Qianying Liu , Zhuoyuan Mao , Zhen Wan , Fei Cheng , Sadao Kurohashi

The genetic code is nearly universal, and the arrangement of the codons in the standard codon table is highly non-random. The three main concepts on origin and evolution of the code are the stereochemical theory; the coevolution theory; and…

Genomics · Quantitative Biology 2008-09-10 Eugene V. Koonin , Artem S. Novozhilov

We discuss alternative iteration methods for differential equations. We provide a convergence proof for exactly solvable examples and show more convenient formulas for nontrivial problems.

Mathematical Physics · Physics 2007-05-23 Paolo Amore , Hakan Ciftci , Francisco M. Fernandez

This thesis investigates the use of problem-specific knowledge to enhance a genetic algorithm approach to multiple-choice optimisation problems.It shows that such information can significantly enhance performance, but that the choice of…

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

Presently about 3000 different nuclei are known with about another 3000-4000 predicted to exist. A review of the discovery of the nuclei, the present status and the possibilities for future discoveries are presented.

Nuclear Experiment · Physics 2013-04-12 M. Thoennessen

Here we propose an evolutionary algorithm that self modifies its operators at the same time that candidate solutions are evolved. This tackles convergence and lack of diversity issues, leading to better solutions. Operators are represented…

Neural and Evolutionary Computing · Computer Science 2017-12-19 Andres Felipe Cruz Salinas , Jonatan Gomez Perdomo

Genetic Programming (GP) has found various applications. Understanding this type of algorithm from a theoretical point of view is a challenging task. The first results on the computational complexity of GP have been obtained for problems…

Neural and Evolutionary Computing · Computer Science 2011-05-09 Markus Wagner , Frank Neumann

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

A genetic algorithm is suitable for exploring large search spaces as it finds an approximate solution. Because of this advantage, genetic algorithm is effective in exploring vast and unknown space such as molecular search space. Though the…

Neural and Evolutionary Computing · Computer Science 2021-12-24 Yurim Lee , Gydam Choi , Minsung Yoon , Cheongwon Kim

Genetic programming is the practice of evolving formulas using crossover and mutation of genes representing functional operations. Motivated by genetic evolution we develop and solve two combinatorial games, and we demonstrate some…

Combinatorics · Mathematics 2021-02-02 Melissa A. Huggan , Craig Tennenhouse

Genetic Algorithms have established their capability for solving many complex optimization problems. Even as good solutions are produced, the user's understanding of a problem is not necessarily improved, which can lead to a lack of…

Neural and Evolutionary Computing · Computer Science 2024-07-10 GianCarlo Catalano , Alexander E. I. Brownlee , David Cairns , John McCall , Russell Ainslie

Researchers in the field of biocomputing have, for many years, successfully "harvested and exploited" the natural world for inspiration in developing systems that are robust, adaptable and capable of generating novel and even "creative"…

Artificial Intelligence · Computer Science 2007-05-23 Jon Timmis , Martyn Amos , Wolfgang Banzhaf , Andy Tyrrell

Biology is data-rich, and it is equally rich in concepts and hypotheses. Part of trying to understand biological processes and systems is therefore to confront our ideas and hypotheses with data using statistical methods to determine the…

Quantitative Methods · Quantitative Biology 2022-06-22 Sean T. Vittadello , Michael P. H. Stumpf
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