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arXiv · 1909.01570

Simulated Annealing In $\mathbf{R}^d$ With Slowly Growing Potentials

Nicolas Fournier·Pierre Monmarché·Camille Tardif
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Abstract

We use a localization procedure to weaken the growth assumptions of Royer [8], Miclo [4] and Zitt [9] concerning the continuous-time simulated annealing in $\mathbf{R}^d$. We show that a transition occurs for potentials growing like $a \log \log |x|$ at infinity. We also study a class of potentials with possibly unbounded sets of local minima.

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Nicolas Fournier, Pierre Monmarché, Camille Tardif. 2019-09-04. Simulated Annealing In $\mathbf{R}^d$ With Slowly Growing Potentials. https://arxiv.org/abs/1909.01570

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