Methods to compare expensive stochastic optimization algorithms with random restarts
Warren Hare (),
Jason Loeppky and
Shangwei Xie
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Warren Hare: University of British Columbia
Jason Loeppky: University of British Columbia
Shangwei Xie: University of British Columbia
Journal of Global Optimization, 2018, vol. 72, issue 4, No 9, 801 pages
Abstract:
Abstract We consider the challenge of numerically comparing optimization algorithms that employ random-restarts under the assumption that only limited test data is available. We develop a bootstrapping technique to estimate the incumbent solution of the optimization problem over time as a stochastic process. The asymptotic properties of the estimator are examined and the approach is validated by an out-of-sample test. Finally, three methods for comparing the performance of different algorithms based on the estimator are proposed and demonstrated with data from a real-world optimization problem.
Keywords: Random restarts; Stochastic optimization; Benchmarking; Nonconvex optimization (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10898-018-0673-7
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