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arxiv 2404.06583 v1 pith:SLLV2ACY submitted 2024-04-09 cs.LG math.PRmath.STstat.TH

Lecture notes on rough paths and applications to machine learning

classification cs.LG math.PRmath.STstat.TH
keywords notesroughapplicationslearningmachinerecentsignaturetheory
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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