title: Gravitation field algorithm and its application in gene cluster.
abstract: BACKGROUND
  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.
  
  
  RESULTS
  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.
  
  
  CONCLUSIONS
  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 http://ccst.jlu.edu.cn/CSBG/GFA.
authors.affiliation: College of Computer Science and Technology, Jilin University, Changchun, 130012, China.
authors.forename: Ming
authors.initials: M
authors.lastname: Zheng
authors.affiliation: College of Computer Science and Technology, Jilin University, Changchun, 130012, China.
authors.forename: Gui-Xia
authors.initials: GX
authors.lastname: Liu
authors.affiliation: College of Computer Science and Technology, Jilin University, Changchun, 130012, China.
authors.forename: Chun-Guang
authors.initials: CG
authors.lastname: Zhou
authors.affiliation: College of Computer Science and Technology, Jilin University, Changchun, 130012, China.
authors.forename: Yan-Chun
authors.initials: YC
authors.lastname: Liang
authors.affiliation: College of Computer Science and Technology, Jilin University, Changchun, 130012, China.
authors.forename: Yan
authors.initials: Y
authors.lastname: Wang