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The Signature Kernel is the solution of a Goursat PDE

Abstract:

Recently, there has been an increased interest in the development of kernel methods for learning with sequential data. The signature kernel is a learning tool with potential to handle irregularly sampled, multivariate time series. In "Kernels for sequentially ordered data" the authors introduced a kernel trick for the truncated version of this kernel avoiding the exponential complexity that would have been involved in a direct computation. Here we show that for continuously differentiable pat...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1137/20M1366794

Authors


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Role:
Author
ORCID:
0000-0002-4185-5908
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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Department:
MATHEMATICAL INSTITUTE
Sub department:
Mathematical Institute
Oxford college:
St Annes College; St Annes College; St Annes College; St Annes College; St Annes College; ST ANNES COLLEGE
Role:
Author
ORCID:
0000-0002-9972-2809
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Society for Industrial and Applied Mathematics Publisher's website
Journal:
SIAM Journal on Mathematics of Data Science Journal website
Volume:
3
Issue:
3
Pages:
873–899
Publication date:
2021-09-09
Acceptance date:
2021-06-03
DOI:
EISSN:
2577-0187
Language:
English
Keywords:
Pubs id:
1119380
Local pid:
pubs:1119380
Deposit date:
2021-06-18

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