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MAPO: using a committee of algorithm-experts for parallel optimization of costly functions

Published: 07 June 2003 Publication History

Abstract

This paper describes a new parallel algorithm for optimizing costly nonconvex functions with box constraints when derivatives are unavailable. MAPO (Multi-Algorithm Parallel Optimization) iteratively uses a committee of optimization algorithms based on response surfaces to generate candidate points for function evaluation. In each iteration, the evaluation points are selected from multiple rankings of all candidate points. Good numerical results for MAPO with 4 radial basis function methods are reported for 8 processors.

References

[1]
L. C. W. Dixon and G. Szegö. The Global Optimization Problem: An Introduction. In Towards Global Optimization 2, pp. 1--15. North-Holland, Amsterdam, 1978.
[2]
H.-M. Gutmann. A Radial Basis Function Method for Global Optimization. J. of Glob. Opt., 19(3): 201--227, 2001.
[3]
F. Schoen. A Wide Class of Test Functions for Global Optimization. J. of Glob. Opt., 3: 133--138, 1993.

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cover image ACM Conferences
SPAA '03: Proceedings of the fifteenth annual ACM symposium on Parallel algorithms and architectures
June 2003
374 pages
ISBN:1581136617
DOI:10.1145/777412
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 07 June 2003

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  1. costly function
  2. parallel optimization
  3. radial basis function

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SPAA03

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SPAA '03 Paper Acceptance Rate 38 of 106 submissions, 36%;
Overall Acceptance Rate 447 of 1,461 submissions, 31%

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