Minimal Realization Problems for Hidden Markov Models

This paper addresses two fundamental problems in the context of hidden Markov models (HMMs). The first problem is concerned with the characterization and computation of a minimal order HMM that realizes the exact joint densities of an output process based on only finite strings of such densities (kn...

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Bibliographic Details
Main Authors: Ge, Rong, Kakade, Sham, Huang, Qingqing, Dahleh, Munther A
Other Authors: Massachusetts Institute of Technology. Institute for Data, Systems, and Society
Format: Article
Language:en_US
Published: Institute of Electrical and Electronics Engineers (IEEE) 2017
Online Access:http://hdl.handle.net/1721.1/110794
https://orcid.org/0000-0002-9113-7269
https://orcid.org/0000-0002-1470-2148