V2EX simulated annealing

Simulated Annealing

Definition / 定义

模拟退火:一种用于寻找“近似最优解”的优化算法与搜索策略。它借鉴金属退火过程(先加热、再缓慢降温)来避免陷入局部最优:在“温度”较高时允许以一定概率接受更差的解,随着温度降低逐渐变得更“挑剔”,从而更可能找到全局较优解。常用于组合优化、路径规划、参数调优等问题。

Pronunciation / 发音

/smjletd nil/

Examples / 例句

Simulated annealing can find a good solution without checking every possibility.
模拟退火可以在不穷举所有可能性的情况下找到一个较好的解。

To optimize the delivery routes, we used simulated annealing with a slow cooling schedule so the search could escape local minima early and converge later.
为了优化配送路线,我们使用了带有缓慢降温策略的模拟退火,使搜索在前期能跳出局部最小值、后期再逐步收敛。

Etymology / 词源

“Simulated”意为“模拟的”,“annealing”来自冶金学中的“退火”(通过加热并缓慢冷却来减少材料缺陷、趋于稳定状态)。该算法名称强调:用物理退火过程来类比优化过程中的“随机探索 → 逐步稳定”,并用“温度”控制接受较差解的概率,从而提高找到更优解的会。

Related Words / 相关词

Literary Works / 文学作品

  • Kirkpatrick, Gelatt & Vecchi(1983)Optimization by Simulated Annealing(提出并推广该方法的经典论文)
  • ern(1985)Thermodynamical Approach to the Traveling Salesman Problem(将退火思想用于旅行商问题的代表性论文)
  • Aarts & Korst(1989)Simulated Annealing and Boltzmann Machines(系统讨论模拟退火与玻尔兹曼机的专著)
  • Press et al. Numerical Recipes(多版教材/工具书中介绍并应用模拟退火)
  • Russell & Norvig Artificial Intelligence: A Modern Approach(在搜索与优化相关章节中提及模拟退火)
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