Mr. Warren Upham Profile

Warren Upham

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Proceedings Article | 1 December 1993 Paper

Mean field annealing approach to large residual-statics estimation

Peter Cary, Warren Upham

Proceedings Volume 2033, (1993) https://doi.org/10.1117/12.164835

KEYWORDS: Annealing, Receivers, Optimization (mathematics), Neurons, Algorithms, Stochastic processes, Systems modeling, Dental caries, Statistical modeling, Mechanics

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We present a new method for solving the large residual-statics problem, called mean field annealing, which may be capable of overcoming some of the limitations of stochastic methods. Mean field annealing is a global-search method that is governed by a purely deterministic set of equations. The mean field annealing method approaches global optimization problems in a fundamentally different way from stochastic global-search methods. The mean field approach never samples individual trial solutions in model space. Instead, the mean field equations, which are solved at successively lower temperatures with a fixed-point method, involve solving for the probability distributions of each variable rather than solving for the variables themselves. The probability distribution of each variable is resolved separately by replacing all other variables that occur in the energy function by their expectation values.

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