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Metropolis-type Annealing Algorithms for Global Optimization in IRd (2007)

Abstract
We establish the convergence of a class of Metropolis-type Markov chain annealing algorithms for global optimization of a smooth function U(.) on IRd. No prior information is assumed as to what bounded region contains a global minimum. Our analysis is based on writing the Metropolis-type algorithm in the form of a recursive stochastic algorithm, where [some entities] are independent standard Gaussian random variables, [and others] are (unbounded, correlated) random variables, and then applying results about [our findings].. Prepared in cooperation with Purdue University, West Lafayette, IN.

Publication details
Download http://handle.dtic.mil/100.2/ADA459610
Contributors MASSACHUSETTS INST OF TECH CAMBRIDGE LAB FOR INFORMATION AND DECISION SYSTEMS
Repository Defense Technical Information Center OAI-PMH Repository (United States)
Keywords THEORETICAL MATHEMATICS, STATISTICS AND PROBABILITY, *ALGORITHMS, *ANNEALING, *GLOBAL, *OPTIMIZATION, STOCHASTIC PROCESSES, MARKOV PROCESSES, GRADIENTS, THEOREMS, *GLOBAL OPTIMIZATION, RANDOM OPTIMIZATION, SIMULATED ANNEALING, STOCHASTIC GRADIENT ALGORITHMS, MARKOV CHAINS
Language eng