FMPE: Discriminatively Trained Features for Speech Recogntion

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1 F: Dcnavl Tand Fau f Spc Rcnn Danl Pv Ban Knbu Lda anu G San Han Slau Gff Zw IB T.J. an Rac Cn NY ICASSP 005 Pn: Fan-Hu Cu

2 Ouln / Inducn f H-dnnal fau nan Acuc cnx xpann Fau pcn Tann ax Sn f upda Calculan Dffnal Dc dffnal Indc dffnal dl paa dffnal Cck 006/3/ SLP Lab. NTNU

3 Ouln / Ovvw and Gnal Cndan n f Tann Ovvw Dnn f -dnnal fau Tpcal lann a and acuc caln CTS Expn Call Cn Expn Cnclun 006/3/ SLP Lab. NTNU 3

4 006/3/ 006/3/ SLP Lab. NTNU 4 Inducn / Inducn / f appl a bcv funcn fau T bcv funcn f T bcv funcn f k k A P O p P O p A O p F k λ λ λ

5 Inducn / : Fnal Auxla Funcn H wak-n auxla funcn F λ λ λ l p O l p O la λ λ n-n auxla funcn λ λ l N Σ la 006/3/ SLP Lab. NTNU 5

6 f /3 Acuc cnx xpann cun d Fau pcn ld fau -dnnal fau anf ax nalzd z an pn 006/3/ SLP Lab. NTNU 6

7 f /3 H-dnn fau nan Tanf fau n a v dnnal pac A f Gauan cad b lkld-bad clun f Gauan n acuc dl an apppa z On ac fa Gauan lkld a valuad w n p and a vc f p fd V uckl l an 0.xRT Onl valua 00 lkl clu Tck Clu Gauan 000 clu cn 006/3/ SLP Lab. NTNU 7

8 f 3/3 Acuc cnx xpann T vc fu xpandd w lf and acuc cnx Fau pcn T dnnal fau a pcd dwn dnn f nal fau x and addd x Inalzn z v a anabl an pn f ann.. nal fau. 006/3/ SLP Lab. NTNU 8

9 006/3/ 006/3/ SLP Lab. NTNU 9 f f auxla funcn auxla funcn [ ] l l D T N N lac lac lac lac lac lac Σ Σ Σ / / ; T D N π Σ Σ Σ

10 006/3/ 006/3/ SLP Lab. NTNU 0 0 f f dffnad dffnad w.. w.. ac w ac w 0 T T lac lac lac n uc dnn accuulan uad n uc dnn accuulan uad ac wuld b paccal. ac wuld b paccal.

11 006/3/ 006/3/ SLP Lab. NTNU f f dffnad dffnad w.. w.. ac ln ac ln 0 lac lac lac lac lac lac lac Nd lv lna uan Nd lv lna uan

12 006/3/ 006/3/ SLP Lab. NTNU f f dffnad dffnad w.. w.. ac ln n pap ac ln n pap D w lac lac lac lac Q

13 f /5 Tann ax T ax and b lna d adn dcn : ν : ν lac T anfd fau av axal ava accuac n cun dl. Bu w abu n dl -and b anfd fau? 006/3/ SLP Lab. NTNU 3

14 006/3/ 006/3/ SLP Lab. NTNU 4 4 f f /5 /5 uld df auxla funcn uld df auxla funcn lac lac and w l T N lac b and un anfd fau paa wll nwl dl and w l Σ Σ dc ndc

15 006/3/ 006/3/ SLP Lab. NTNU 5 5 f f 3/5 3/5 4 and lac lac Q

16 f 4/5 Tann ax paa-pcfc lann a a: v E p n F p n Snc ac can can /E andad dvan T an vn fau ln can can n/e andad dvan w n nub f acuc cnx b wc vc H a bn xpandd.. n7 F F T T F p ax 0 n T F ax 0 006/3/ SLP Lab. NTNU 6

17 f 5/5 Sn f upda T pvn v-ann f paa a cann b ad bul a dfcan ad n : n 0.5τ p n p : p 0.5τ p n c c Sn a ll pv ul n d f 0.% ablu; nall dn w τ 00 c c T T d wc la nub f nnz pn avalabl n F an dffnal T d d F wc nub f pn a wuld av a xpcd a f uad u f ablu valu u-f-ua f w Gauan dbud w z an 006/3/ SLP Lab. NTNU 7

18 f cck A uful cck a n plnan av bn ad addn a all uan all fau n dnn uld n affc bcv funcn a ln a dn n b ann and T F dc F ndc 0 T F dc F ndc 0 006/3/ SLP Lab. NTNU 8

19 006/3/ 006/3/ SLP Lab. NTNU 9 9 f f cck cck lac lac lac lac 4 0 Q

20 Ovvw and nal cndan n f ann Ovvw Eac an f f ann nvlv pa v da: n accuula nal ac cnd accuula f ac cfl uan n and p d d an L upda w nwl anfd daa Dnn f -dnnal fau Expn n call cn daa u a pbabl d u a a dnn a pbl unl nuffcn daa f ac paa and daa-lann bc an u 006/3/ SLP Lab. NTNU 0

21 Ovvw and nal cndan n f ann Tpcal lann a and acuc caln T valu f E ud n CTS xpn pd a 0.96 f pak ndpndn 5 acuc cnx n dnnal fau.44 f pak adapd 7 acuc cnx n dnnal fau T call-cn xpn al u 7 cnx and E.44 T pvn f anf f apn nall nn wakn acuc dl lav L dffnal f cn w.. a caln f all acuc lkld wa calculad and L w wa und unl wa cl z 006/3/ SLP Lab. NTNU

22 Cnvanal lpn pc CTS xpn A f ac cpndn dnna ac n I ann al accuulad a I-n can back ff an I a an an L a Tann n 300 f lpn pc daa B ud c-wd pnc cnx and PLP fau w LDALLT pcn 40 dnn SI and 39 adapd 006/3/ SLP Lab. NTNU

23 Cnvanal lpn pc CTS xpn T SI a unpn w 8k a and 50k Gauan T -dnnal fau a p f 64k clud Gauan w fv cnx T anf and w /5 f ann daa f b b.0% an aln 006/3/ SLP Lab. NTNU 3

24 Cnvanal lpn pc CTS xpn T adapd a 7-pn cnx k a and 850k Gauan ann and n n VTLNfLLR fau T a p f 00k Gauan w vn cnx 700k dnn al T anf and n all daa In ca f aln b an aln 006/3/ SLP Lab. NTNU 4

25 Call cn xpn Tann n 300 f pc T dl av -pn lf pnc Cnx 4k a and 97k Gauan T daa 6 u ln Fau a PLP pcd w LDALLT 40 dnn H dnnal fau a 3k Gauan p w 7 cnx 4000 dnn w backff I a abv T f ul n call-cn daa a an pv 5.% b an L baln and.7% b an aln. 006/3/ SLP Lab. NTNU 5

26 Cnclun f a nvl and ffcv wa appl dcnav ann fau a an dl T ak pbl n a a n pbl w nal dcnav ann uc a buldn a n nw fau and an pc 006/3/ SLP Lab. NTNU 6

27 f-cck Cancl u! 006/3/ SLP Lab. NTNU 7

28 006/3/ 006/3/ SLP Lab. NTNU 8 8 f f cck cck and 4 lac lac lac lac lac Q

29 006/3/ 006/3/ SLP Lab. NTNU 9 9 f f cck cck 0 a lac lac lac lac lac lac lac

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