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

Congwei Song

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arXiv · 2608.03706

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

Congwei Song

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Abstract

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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Congwei Song. 2026-08-04. To Describe or Construct Statistical Learning Models Using the Category-theoretical Language. https://arxiv.org/abs/2608.03706

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