Emaad Manzoor created MAHOUT-1484:
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             Summary: Spectral algorithm for HMMs
                 Key: MAHOUT-1484
                 URL: https://issues.apache.org/jira/browse/MAHOUT-1484
             Project: Mahout
          Issue Type: New Feature
            Reporter: Emaad Manzoor
            Priority: Minor


Following up with this 
[comment|https://issues.apache.org/jira/browse/MAHOUT-396?focusedCommentId=12898284&page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel#comment-12898284]
 by [~isabel] on the sequential HMM 
[proposal|https://issues.apache.org/jira/browse/MAHOUT-396], is there any 
interest in a spectral algorithm as described in: "A spectral algorithm for 
learning hidden Markov models (D. Hsu, S. Kakade, T. Zhang)"?

I would like to take up this effort.

This will enable learning the parameters of and making predictions with a HMM 
in a single step. At its core, the algorithm involves computing estimates from 
triples of observations, performing an SVD and then some matrix multiplications.

This could also form the base for an implementation of "Hilbert Space 
Embeddings of Hidden Markov Models (L. Song, B. Boots, S. Saddiqi, G. Gordon, 
A. Smola)".



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