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Bayesian learning from sequential data using Gaussian processes with signature covariances

Abstract:

We develop a Bayesian approach to learning from sequential data by using Gaussian processes (GPs) with so-called signature kernels as covariance functions. This allows to make sequences of different length comparable and to rely on strong theoretical results from stochastic analysis. Signatures capture sequential structure with tensors that can scale unfavourably in sequence length and state space dimension. To deal with this, we introduce a sparse variational approach with inducing tensors. ...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publication website:
http://proceedings.mlr.press/v119/toth20a.html

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0003-2644-8906
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Proceedings of Machine Learning Research
Journal:
Proceedings of Machine Learning Research More from this journal
Volume:
119
Pages:
9548-9560
Publication date:
2020-11-21
Acceptance date:
2020-06-01
Event title:
37th International Conference of Machine Learning (ICML 2020)
Event location:
Vienna, Austria
Event website:
https://icml.cc/Conferences/2020
Event start date:
2020-07-12
Event end date:
2020-07-18
Language:
English
Keywords:
Pubs id:
1118482
Local pid:
pubs:1118482
Deposit date:
2020-07-13

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