Gravitation field algorithm and its application in gene cluster

<p>Abstract</p> <p>Background</p> <p>Searching optima is one of the most challenging tasks in clustering genes from available experimental data or given functions. SA, GA, PSO and other similar efficient global optimization methods are used by biotechnologists. All thes...

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Main Authors: Zheng Ming, Liu Gui-xia, Zhou Chun-guang, Liang Yan-chun, Wang Yan
Format: Article
Language:English
Published: BMC 2010-09-01
Series:Algorithms for Molecular Biology
Online Access:http://www.almob.org/content/5/1/32
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author Zheng Ming
Liu Gui-xia
Zhou Chun-guang
Liang Yan-chun
Wang Yan
author_facet Zheng Ming
Liu Gui-xia
Zhou Chun-guang
Liang Yan-chun
Wang Yan
author_sort Zheng Ming
collection DOAJ
description <p>Abstract</p> <p>Background</p> <p>Searching optima is one of the most challenging tasks in clustering genes from available experimental data or given functions. SA, GA, PSO and other similar efficient global optimization methods are used by biotechnologists. All these algorithms are based on the imitation of natural phenomena.</p> <p>Results</p> <p>This paper proposes a novel searching optimization algorithm called Gravitation Field Algorithm (GFA) which is derived from the famous astronomy theory Solar Nebular Disk Model (SNDM) of planetary formation. GFA simulates the Gravitation field and outperforms GA and SA in some multimodal functions optimization problem. And GFA also can be used in the forms of unimodal functions. GFA clusters the dataset well from the Gene Expression Omnibus.</p> <p>Conclusions</p> <p>The mathematical proof demonstrates that GFA could be convergent in the global optimum by probability 1 in three conditions for one independent variable mass functions. In addition to these results, the fundamental optimization concept in this paper is used to analyze how SA and GA affect the global search and the inherent defects in SA and GA. Some results and source code (in Matlab) are publicly available at <url>http://ccst.jlu.edu.cn/CSBG/GFA</url>.</p>
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spelling doaj.art-3ea51fc68bf0436c9f51903c982e17372022-12-21T19:41:41ZengBMCAlgorithms for Molecular Biology1748-71882010-09-01513210.1186/1748-7188-5-32Gravitation field algorithm and its application in gene clusterZheng MingLiu Gui-xiaZhou Chun-guangLiang Yan-chunWang Yan<p>Abstract</p> <p>Background</p> <p>Searching optima is one of the most challenging tasks in clustering genes from available experimental data or given functions. SA, GA, PSO and other similar efficient global optimization methods are used by biotechnologists. All these algorithms are based on the imitation of natural phenomena.</p> <p>Results</p> <p>This paper proposes a novel searching optimization algorithm called Gravitation Field Algorithm (GFA) which is derived from the famous astronomy theory Solar Nebular Disk Model (SNDM) of planetary formation. GFA simulates the Gravitation field and outperforms GA and SA in some multimodal functions optimization problem. And GFA also can be used in the forms of unimodal functions. GFA clusters the dataset well from the Gene Expression Omnibus.</p> <p>Conclusions</p> <p>The mathematical proof demonstrates that GFA could be convergent in the global optimum by probability 1 in three conditions for one independent variable mass functions. In addition to these results, the fundamental optimization concept in this paper is used to analyze how SA and GA affect the global search and the inherent defects in SA and GA. Some results and source code (in Matlab) are publicly available at <url>http://ccst.jlu.edu.cn/CSBG/GFA</url>.</p>http://www.almob.org/content/5/1/32
spellingShingle Zheng Ming
Liu Gui-xia
Zhou Chun-guang
Liang Yan-chun
Wang Yan
Gravitation field algorithm and its application in gene cluster
Algorithms for Molecular Biology
title Gravitation field algorithm and its application in gene cluster
title_full Gravitation field algorithm and its application in gene cluster
title_fullStr Gravitation field algorithm and its application in gene cluster
title_full_unstemmed Gravitation field algorithm and its application in gene cluster
title_short Gravitation field algorithm and its application in gene cluster
title_sort gravitation field algorithm and its application in gene cluster
url http://www.almob.org/content/5/1/32
work_keys_str_mv AT zhengming gravitationfieldalgorithmanditsapplicationingenecluster
AT liuguixia gravitationfieldalgorithmanditsapplicationingenecluster
AT zhouchunguang gravitationfieldalgorithmanditsapplicationingenecluster
AT liangyanchun gravitationfieldalgorithmanditsapplicationingenecluster
AT wangyan gravitationfieldalgorithmanditsapplicationingenecluster