基于光子决策的范畴论分析
Category Theoretic Analysis of Photon-based Decision Making
摘要：
在这个机器学习和人工智能时代，决策是一个至关重要的功能，但它的物理实现和理论基础仍然没有完全理解。在我们之前的研究中，我们证明了单光子可以用来在不确定的、动态变化的环境中做出决策。利用单光子的双重概率和粒子属性成功地解决了双臂强盗问题。在这项研究中，我们提出了一个基于单光子的决策的范畴理论建模和分析，包括与实验结果一致的定量分析。范畴理论模型以简化的方式揭示了主题实体之间复杂的相互依赖关系，即使在动态变化的环境中也是如此。特别是，三角形分类中的八面体和编织结构提供了对单光子决策者的潜在机制的更好理解和定量度量。这项研究为分析更复杂和不确定的问题提供了洞察力和基础，以进一步促进机器学习和人工智能。
英文摘要：
Decision making is a vital function in this age of machine learning and artificial intelligence, yet its physical realization and theoretical fundamentals are still not completely understood. In our former study, we demonstrated that single-photons can be used to make decisions in uncertain, dynamically changing environments. The two-armed bandit problem was successfully solved using the dual probabilistic and particle attributes of single photons. In this study, we present a category theoretic modeling and analysis of single-photon-based decision making, including a quantitative analysis that is in agreement with the experimental results. A category theoretic model reveals the complex interdependencies of subject matter entities in a simplified manner, even in dynamically changing environments. In particular, the octahedral and braid structures in triangulated categories provide a better understanding and quantitative metrics of the underlying mechanisms of a single-photon decision maker. This study provides both insight and a foundation for analyzing more complex and uncertain problems, to further machine learning and artificial intelligence.
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。
