Chi-square matrix: An approach for building-block identification

10Citations
Citations of this article
3Readers
Mendeley users who have this article in their library.
Get full text

Abstract

This paper presents a line of research in genetic algorithms (GAs), called building-block identification. The building blocks (BBs) are common structures inferred from a set of solutions. In simple GA, crossover operator plays an important role in mixing BBs. However, the crossover probably disrupts the BBs because the cut point is chosen at random. Therefore the BBs need to be identified explicitly so that the solutions are efficiently mixed. Let S be a set of binary solutions and the solution s = b1...be, bi ∈ {0,1}. We construct a symmetric matrix of which the element in row i and column j, denoted by mij, is the chi-square of variables bi and bj. The larger the mij is, the higher the dë pendency is between bit i and bit j. If mij is high, bit i and bit j should be passed together to prevent BB disruption. Our approach is validated for additively decomposable functions (ADFs) and hierarchically decomposable functions (HDFs). In terms of scalability, our approach shows a polynomial relationship between the number of function evaluations required to reach the optimum and the problem size. A comparison between the chi-square matrix and the hierarchical Bayesian optimization algorithm (hBOA) shows that the matrix computation is 10 times faster and uses 10 times less memory than constructing the Bayesian network. © Springer-Verlag Berlin Heidelberg 2004.

Cite

CITATION STYLE

APA

Aporntewan, C., & Chongstitvatana, P. (2004). Chi-square matrix: An approach for building-block identification. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 3321, 63–77. https://doi.org/10.1007/978-3-540-30502-6_5

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free