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Large Vocabulary Continuous Speech Recognition - Berlin Chen

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TC: Decomposition of Search History (2/3)• Tree-internal search hypotheses (for an internal node,not word-end node, s)If the whole word history is kept:Qτn ⎧t t n( t;s) = max P( w ) ⋅ max p( x , s w )==wwwmax Pn1max Gn1n1n ⎧τ τ n ⎫t t( w ) ⋅ max p( x , s w ) ⋅ max p( x , s −)1⎨⎩t1⎨⎩s : s = S⎬⎭nt t( w ; τ ) ⋅ max p( x , s −)11tτ + 1sτt1s : s = S: s = stτwnw n, s = st1τ + 1111τ + 11tτ + 1s1⎫⎬⎭: s = sIf only the latest m-1 word history is instead kept:Qτnt t( t;s) = max G( w ) ⋅ p( x+s −)n 1; τ maxtτ 1,τ + 1w1sτ+ 1:st= smt t≈ max H ( v ) ⋅ p( x+s+−)m m n 2; τ maxtτ 1,τ 1v2: v2= w n − m + 2sτ+ 1:st= st t= H () τ ⋅ max p( x , s −)maxtτ + 1s: s = stτ + 1τ + 1tτ + 1τ + 1Word identity is still unknown<strong>Speech</strong> – <strong>Berlin</strong> <strong>Chen</strong> 33

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