Gaussian adaptation revisited - An entropic view on covariance matrix adaptation
Research output: Contribution to book/Conference proceedings/Anthology/Report › Conference contribution › Contributed › peer-review
Contributors
Abstract
We revisit Gaussian Adaptation (GaA), a black-box optimizer for discrete and continuous problems that has been developed in the late 1960's. This largely neglected search heuristic shares several interesting features with the well-known Covariance Matrix Adaptation Evolution Strategy (CMA-ES) and with Simulated Annealing (SA). GaA samples single candidate solutions from a multivariate normal distribution and continuously adapts its first and second moments (mean and covariance) such as to maximize the entropy of the search distribution. Sample-point selection is controlled by a monotonically decreasing acceptance threshold, reminiscent of the cooling schedule in SA. We describe the theoretical foundations of GaA and analyze some key features of this algorithm. We empirically show that GaA converges log-linearly on the sphere function and analyze its behavior on selected non-convex test functions.
Details
Original language | English |
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Title of host publication | Applications of Evolutionary Computation - EvoApplicatons 2010 |
Publisher | Springer-Verlag |
Pages | 432-441 |
Number of pages | 10 |
Edition | PART 1 |
ISBN (print) | 3642122388, 9783642122385 |
Publication status | Published - 2010 |
Peer-reviewed | Yes |
Externally published | Yes |
Publication series
Series | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Number | PART 1 |
Volume | 6024 LNCS |
ISSN | 0302-9743 |
Conference
Title | EvoCOMPLEX, EvoGAMES, EvoIASP, EvoINTELLIGENCE, EvoNUM, and EvoSTOC, EvoApplicatons 2010 |
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Duration | 7 - 9 April 2010 |
City | Istanbul |
Country | Turkey |
External IDs
ORCID | /0000-0003-4414-4340/work/159608324 |
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Keywords
ASJC Scopus subject areas
Keywords
- Black-Box Optimization, Covariance Matrix Adaptation, Entropy, Evolution Strategy, Gaussian Adaptation