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用范畴论语言描述或构建统计学习模型

To Describe or Construct Statistical Learning Models Using the Category-theoretical Language

Congwei Song

arXiv 2608.03706首次发表:更新:

AI 中文总结

本报告面向非专业人士总结经典统计学习模型与算法,从范畴论视角解读统计学习模型,以吸引其他领域研究者参与该领域研究。

AI 中文摘要

统计学习是机器学习与人工智能领域中极具吸引力的方向,长期以来一直是主流,已产生大量可广泛应用于现实问题的成果,还催生了诸多研究主题并推动新研究。本报告为非专业人士总结了一些经典统计学习模型与知名算法,提供了理解统计学习模型的范畴论视角,旨在吸引包括基础数学在内其他领域的研究者参与统计学习相关研究。

英文摘要

Statistical learning is a fascinating field that has long been the mainstream of machine learning/artificial intelligence. A large number of results have been produced which can be widely applied to real-world problems. It also leads to many research topics and also stimulates new research. This report summarizes some classical statistical learning models and well-known algorithms, especially for amateurs, and provides a category-theoretic perspective on understanding statistical learning models. The aim is to attract researchers from other fields, including basic mathematics, to participate in the research related to statistical learning.

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