arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2011.11891cs.LGphysics.class-ph
收藏

基于强化学习的最小作用量学习原理

Learning Principle of Least Action with Reinforcement Learning

New York University Abu Dhabi(纽约大学阿布扎比分校);University of Illinois at Urbana-Champaign(伊利诺伊大学厄巴纳-香槟分校);University of Massachusetts, Amherst(马萨诸塞大学阿默斯特分校)

Zehao Jin, Joshua Yao-Yu Lin, Siao-Fong Li

摘要:

自然界提供了一种通过强化学习来理解物理学的方法,因为自然界喜欢物体以经济的方式传播。在经典力学的情况下,自然倾向于物体沿着拉格朗日积分的路径运动,称为作用量$\mathcal{S}$。我们考虑将奖励/惩罚设置为$\mathcal{S}$的函数,因此智能体可以通过强化学习来学习粒子在各种环境中的物理轨迹。在这项工作中,我们通过使用基于Q-Learning的算法来学习光如何在具有不同折射率的材料中传播来验证这一想法,并表明该代理可以恢复与Snell定律或Fermat原理获得的解决方案等效的最小时间路径。我们还讨论了我们的强化学习方法的路径积分形式主义的相似性。

英文摘要:

Nature provides a way to understand physics with reinforcement learning since nature favors the economical way for an object to propagate. In the case of classical mechanics, nature favors the object to move along the path according to the integral of the Lagrangian, called the action $\mathcal{S}$. We consider setting the reward/penalty as a function of $\mathcal{S}$, so the agent could learn the physical trajectory of particles in various kinds of environments with reinforcement learning. In this work, we verified the idea by using a Q-Learning based algorithm on learning how light propagates in materials with different refraction indices, and show that the agent could recover the minimal-time path equivalent to the solution obtained by Snell's law or Fermat's Principle. We also discuss the similarity of our reinforcement learning approach to the path integral formalism.

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。

↑