Lecture notes on rough paths and applications to machine learning

Fuente: arXiv
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Hauptverfasser: Cass, Thomas, Salvi, Cristopher
Format: Preprint
Veröffentlicht: 2024
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author Cass, Thomas
Salvi, Cristopher
author_facet Cass, Thomas
Salvi, Cristopher
contents These notes expound the recent use of the signature transform and rough path theory in data science and machine learning. We develop the core theory of the signature from first principles and then survey some recent popular applications of this approach, including signature-based kernel methods and neural rough differential equations. The notes are based on a course given by the two authors at Imperial College London.
format Preprint
id arxiv_https___arxiv_org_abs_2404_06583
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Lecture notes on rough paths and applications to machine learning
Cass, Thomas
Salvi, Cristopher
Machine Learning
Probability
Statistics Theory
60L10, 60L20
These notes expound the recent use of the signature transform and rough path theory in data science and machine learning. We develop the core theory of the signature from first principles and then survey some recent popular applications of this approach, including signature-based kernel methods and neural rough differential equations. The notes are based on a course given by the two authors at Imperial College London.
title Lecture notes on rough paths and applications to machine learning
topic Machine Learning
Probability
Statistics Theory
60L10, 60L20
url https://arxiv.org/abs/2404.06583