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7. Hidden Markov Models (Parte 2) (pdf, it, 413 KB, 4/28/10)

7. Hidden Markov Models (Parte 2) (pdf, it, 413 KB, 4/28/10)

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Back to the polynomial toy example<br />

-50<br />

-<strong>10</strong>0<br />

-150<br />

-200<br />

-250<br />

0 5 <strong>10</strong> 15 20<br />

-50<br />

-<strong>10</strong>0<br />

-150<br />

-200<br />

-250<br />

0 3 5 <strong>10</strong> 15 20<br />

2<br />

1.5<br />

1<br />

0.5<br />

0<br />

-0.5<br />

-1<br />

-1 -0.5 0 0.5 1<br />

3<br />

2<br />

1<br />

0<br />

-1<br />

estimate<br />

truth<br />

-2<br />

58<br />

-1 -0.5 0 0.5 1<br />

Some more HMM-oriented solutions<br />

• Application driven model selection:<br />

states have some physical meaning<br />

[Hannaford,Lee IJRR 91]<br />

• Spl<strong>it</strong> and merge approaches: starting<br />

from an inappropriate but simple model,<br />

the correct model is determined by<br />

successively applying a spl<strong>it</strong>ting (or<br />

merging) operation<br />

[Ikeda 93] [Singer,Ostendorf ICASSP 96]<br />

[Takami, Sagayama ICASSP 92]<br />

59<br />

6

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