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arXiv 1909.01570math.PR
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模拟退火在具有慢增长势的$\mathbf{R}^d$中的应用

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

Nicolas Fournier, Pierre Monmarché, Camille Tardif

摘要:

我们使用局部化过程来削弱Royer [8],Miclo [4]和Zitt [9]关于$\mathbf{R}^d$中连续时间模拟退火的增长假设。我们表明,发生了过渡的潜力增长一样,$a \log \log |x|$在无穷大。我们还研究了一类潜在的可能无界集的局部极小。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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