Path Signatures for Feature Extraction. An Introduction to the Mathematics Underpinning an Efficient Machine Learning Technique

Stephan Sturm
6/2/2025
cs.LGmath.PR

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Abstract

We provide an introduction to the topic of path signatures as means of feature extraction for machine learning from data streams. The article stresses the mathematical theory underlying the signature methodology, highlighting the conceptual character without plunging into the technical details of rigorous proofs. These notes are based on an introductory presentation given to students of the Research Experience for Undergraduates in Industrial Mathematics and Statistics at Worcester Polytechnic Institute in June 2024.

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Cite this paper

@article{sturm2025path,
  title  = {Path Signatures for Feature Extraction. An Introduction to the Mathematics Underpinning an Efficient Machine Learning Technique},
  author = {Stephan Sturm},
  year   = {2025},
  eprint = {2506.01815},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2506.01815v1}
}

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