Temporal Parallelization of Inference in Hidden Markov Models



Hassan, Sakira, Särkkä, Simo and Garcia-Fernandez, angel ORCID: 0000-0002-6471-8455
(2021) Temporal Parallelization of Inference in Hidden Markov Models. IEEE Transactions on Signal Processing, 69 (48). pp. 4875-4887.

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Abstract

This paper presents algorithms for parallelization of inference in hidden Markov models (HMMs). In particular, we propose parallel backward-forward type of filtering and smoothing algorithm as well as parallel Viterbi-type maximum-a-posteriori (MAP) algorithm. We define associative elements and operators to pose these inference problems as parallel-prefix-sum computations in sum-product and max-product algorithms and parallelize them using parallel-scan algorithms. The advantage of the proposed algorithms is that they are computationally efficient in HMM inference problems with long time horizons. We empirically compare the performance of the proposed methods to classical methods on a highly parallel graphical processing unit (GPU).

Item Type: Article
Additional Information: submitted to the IEEE transactions on Signal Processing
Uncontrolled Keywords: cs.DC, cs.DC, stat.ML
Divisions: Faculty of Science and Engineering > School of Electrical Engineering, Electronics and Computer Science
Depositing User: Symplectic Admin
Date Deposited: 23 Aug 2021 08:04
Last Modified: 18 Jan 2023 21:33
DOI: 10.1109/TSP.2021.3103338
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3134375