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Infinite Hidden Markov Models<br />

x<br />

x x<br />

H<br />

x<br />

x<br />

x<br />

x<br />

x<br />

x<br />

x<br />

Size<br />

x<br />

x<br />

x<br />

x<br />

x<br />

x x<br />

x x<br />

Stickiness<br />

x<br />

x x<br />

x<br />

x<br />

x<br />

x<br />

x<br />

x<br />

x x<br />

x x<br />

x x<br />

x<br />

x<br />

x<br />

x<br />

x x<br />

G 0<br />

x<br />

x<br />

x<br />

Density<br />

x<br />

Gs t-1<br />

x<br />

x<br />

x<br />

0<br />

∞<br />

x<br />

s 0<br />

b<br />

x<br />

x<br />

x<br />

x<br />

x x<br />

x<br />

s<br />

t<br />

G<br />

x<br />

x x<br />

e<br />

G<br />

t<br />

i<br />

s<br />

x<br />

t-1<br />

s<br />

, H x<br />

t<br />

x<br />

x<br />

x<br />

, G<br />

E<br />

s<br />

, E<br />

t-1<br />

s<br />

t<br />

x<br />

x<br />

x<br />

x<br />

x<br />

<br />

x<br />

x<br />

x x<br />

x<br />

x<br />

x<br />

~ some x distribution<br />

x<br />

x<br />

x<br />

x<br />

i<br />

x<br />

~ DP( x<br />

, Hx<br />

)<br />

x<br />

, G ~ DP(<br />

0<br />

~<br />

~<br />

G<br />

E<br />

x<br />

t<br />

t-1<br />

x x<br />

s<br />

s<br />

0<br />

, G)<br />

x<br />

x<br />

x<br />

x x<br />

Es t<br />

s 1 s 2 s 3 s 4 s 5<br />

e 1 e 2 e 3 e 4 e 5<br />

x<br />

80<br />

x

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