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Bias of particle approximations to optimal filter derivative

Abstract:

In many applications, a state-space model depends on a parameter which needs to be inferred from data in an online manner. In the maximum likelihood approach, this can be achieved using stochastic gradient search, where the underlying gradient estimation is based on the optimal filter and the optimal filter derivative. However, the optimal filter and its derivative are not analytically tractable for a non-linear state-space model and need to be approximated numerically. In [22], a particle ap...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1137/18M1217024

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Institution:
University of Oxford
Division:
MPLS
Department:
Statistics
Role:
Author
ORCID:
0000-0002-7662-419X
Publisher:
Society for Industrial and Applied Mathematics Publisher's website
Journal:
SIAM Journal on Control and Optimization Journal website
Volume:
59
Issue:
1
Pages:
727–748
Publication date:
2021-02-25
Acceptance date:
2020-11-30
DOI:
EISSN:
1095-7138
ISSN:
0363-0129
Language:
English
Keywords:
Pubs id:
1147971
Local pid:
pubs:1147971
Deposit date:
2020-12-07

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