Proof — Simulated annealing

Statement

A stochastic optimization method that finds global minima of cost functions with multiple local minima. It emulates the physical process of slowly cooling a solid: at high temperature the system explores widely; as temperature decreases, it converges toward low-energy (low-cost) states. Uses the Metropolis algorithm to accept worse solutions with probability exp[-(ΔE)/T].

Formula

P(accept) = exp[-(ΔE)/T]

Source

Kirkpatrick, Gelatt, Vecchi, Optimization by Simulated Annealing, Science 1983.

Domains

mathematics, computer-science

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