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2 Nov 2000: p j(wi) p(wi C(wi) Tj) p(C(wi) C(wi 1) C(wi 2) C(wi 3)) (3)where Tj is the jth topic, C(w) is the ... The models were com-bined by linear interpolation:. p(wi) tj 0 p(wi.

13 Mar 2018: with,. po =K. k=1. {(T tkπk. ) k1. j=1. (1 T tj πj )}δ(mt=k). ... p({yt}Nt=1|Hs) =. t. j,k. τ tj. pl(yt1k , y. tj|τ. tj , µ.

20 Feb 2018: 0j),(b,a)),. ,k((b. tj,a. tj),(b,a))]. T,j = 1,. , l.Therefore, in principle, one needs to be able to calculate thekernel function k((b′,a′),(b,a))

13 Mar 2018: with,. po =K. k=1. {(T tkπk. ) k1. j=1. (1 T tj πj )}δ(mt=k). ... p({yt}Nt=1|Hs) =. t. j,k. τ tj. pl(yt1k , y. tj|τ. tj , µ.

2 Mar 2009: K(Oi, Oj ) =1. TiTj. Ti. t=1. Tj. s=1. k(oit, ojs) (5). ... K(Oi, Oj ) =M. m=1. 1. ρmi ρmj. Ti. t=1. Tj.

9 Aug 2005: JKMW= RR<KJK,/; 238=@; =@R2 2,QGCR<>=@23,/M JT? ;N?= GCJi23JKGC, =@4R'JT?'.) , 2',/8043N =@M H ,/,/? ,2,Q?;,/; 28P M=? ;fA'M,/M =GP= JTGIAG <TJ ,Q<TJ88;80R23JTG ... a. U. ,GC,E=? L0,/23804 8= =@A'MMJ>=? ;JKM234JKHA23JK80? JKMl=@;= R2,/;CAMJK? =U<KJK?,E= 4

9 Aug 2005: iI. Φ(xti; yt). i,jHΨh(xti, x. tj ). i,jVΨv(xti, x. tj ). iI. xt1i. Ψt(xti, xt1i )P (x. t1i |yt1,. , y1). (3). ... to the filtering model to give:. P (xt|y, Mf ) =. i,jHΨh(xti, x. tj ). i,jVΨv(xti, x. tj ). iI. Φ(xti; yt).

13 Mar 2018: Now each point is typically parametrized as. x̃j := x̃(xj, tj) :=[x>j tj. ... xj1 xj2 xj3 tj. ]>(20). where xj =[xj1,xj2,xj3. ]>is the vector of unscaled inhomogeneous coordinates of.

16 Feb 2008: Word alignment a = aJ1: saj tj , j = 1, 2, , J = hidden r.v.Conditional likelihood P(t, a|s) = complete dataSentence translation P(t|s) =. a P(t, a|s) = incomplete ... t1 t2 ….tj- tj tJtj-…. …. s1 ….si sI…. tj1. αj (i, φ, h) =i′,φ′,h′.

13 Mar 2018: Now each point is typically parametrized as. x̃j := x̃(xj, tj) :=[x>j tj. ... xj1 xj2 xj3 tj. ]>(20). where xj =[xj1,xj2,xj3. ]>is the vector of unscaled inhomogeneous coordinates of.