音声認識の基礎

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1

2 / / / Key word (word spottig), / /

3 ( )

4

5

6

7 00% DARPA2 0% k 20k 5k %

8

9

10

11 Age , , , 000 Hours Estimated amout of speech a huma beig hears as a fuctio of age (R.Moore, EuroSpeech, 2003) Word Error Rate(%) , 000 0, , 000 Hours Supervised, Usupervised Usupervised (reduced LM traiig) Extrapolated word error rates for icreasig quatities of traiig data(r.moore, EuroSpeech, 2003),000,000

12

13 word jucture rule bottom up top dow

14 X K L X N, L, X L X K N {} {} S (t) S' ( t) r ( t) M rm ( t) X M X N d M d K Ci S(t) :, S (t) : r(t) : M X : N di : Ci

15 PARCOR FFT FFT 8 4 MFCC 8 2 LPC

16

17 LBG = = = = = = (0) (0) 0 ) ( 0,, 0, },, {, }, 0, ; { ) ( D m y y A N j x N j ε L L ( ) { } = = = < = 0 0 ) ( ) ( ) ( ) (,. ), ( ), (, }, 0, ; { } { (2) N i j i j m i j m i j m t j m i j i N m j S x y x d D S x y x d y x d t N i S N A x L ( ). 4., /, (3) ) ( N m m m m A D D D ε < { } { } ( ). 2,,.,, (4) ) ( ) ( ) ( 0 ) ( + = = = m m S C y y y A i m i m N m N m L ( ) ( ) = = = 0 0, arg mi,,, ˆ i x i x d x x x C x L

18 2 ( ) = M = A (2) A y i (3) A A ( x, x, L ) 0, = C 0, 0, M x { y, y, L, y }., { y0, y0 +, y, y +, L, ym, ym + } A = { y, y, L, y }. 0,2M = 0 + y 0,2M 0,2M i 0 M 2M { y ; i = 0,,, 2M } y i,. M, LPG = L i M = 2M 2. = N.

19 (a) (b) VCV SPLIT (c) ( )

20 / / ) ( )

21 {} {} jucture rule {} {} {} bottom up

22 DP

23

24 3

25 The little boy ra quickly The little boy ra quickly the 8 a 9 little 0 big boy 2 girl 3 ra 4 walked 5 quickly 6 slowly the a little big boy girl ra walked quickly slowly

26 JUMP

27

28

29

30 (a) (b) (DP) (c) (d)

31 I+JCI I+JC(I-) k I J-k)!/I-k)!(J-k)!k!

32 D( A, B) = mi F w( k) d ( i( k), w( k) j( k)) b J C x = ( I, J ) w( k) = i( k) i( k ) + j( k) j( k ) j = i + r warpig fuctio b j C = ( i, j) w ( k ) = i ( k ) i ( k ) C 4 C 2 j = i r C b 5 2 C 3 C D( i, j) b = (,) D ( i, j) = mi D( i, j ) + d( i, j) a a 2 a i ai D( i, j 2)

33 DPDTW) g( i-2, j-) + 2 d(i-, j) + d(i, j) g(i, j) = mi g( i-, j-) + 2 d(i, j) g( i-, j-2) + 2 d(i, j-) + d(i, j) j i (i,j) g( i-2, j-) + d(i-, j) + d(i, j) g(i, j) = mi g( i-, j-) + d(i, j) g( i-, j-2) + d(i, j) g( i-2, j-) + d(i, j) g(i, j) = mi g( i-, j-) + d(i, j) g( i-, j-2) + d(i, j-) + d(i, j)

34

35

36 b J D ( i, J ) R b 2 b a 2 a i ai B ( i, J ) i = u( j) test patter (a) (b) (c) (d) (e) test patter Asymmetric DP path ad weight for word spottig (base axis : referece patter)

37 D (, i) = D (0, j) = ; execute for = execute 4.5. for = D ( i,) = D ( i,) B ( i,) = i for =,2, L N j =,2, L J j = 2,3, L J ˆ i = arg mi D ( i', j ) i 2 i' i D ( i, j ) = D ( iˆ, j ) + d ( i, j ) B i,2, L I,2, L N ( i, j ) = B ( iˆ, j ) Iitializatio Iitializatio for word boudary

38 Example d : I N J D : I N J cumulative distace local distace test patter

39 A = a a2 a I L B = b b 2 LbJ pa qa r A s A A B

40 2A=abcdef B=bdcgfh p=q=r=s= A = a, a2 L ai, B = b, b2 Lb J DPDPDP DP /3 3 A B

41 DP )

42

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