Machine Translation. Hiroshi Nakagawa
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1 Mhn Trnson Hrosh Nkgw Inoron Thnoogy Cnr; Mh Inors Grdu Shoo o Inoron Sn nd Thnoogy; Grdu Shoo o Inrdspnry Inoron Suds Th Unvrsy o Tokyo
2 Ps Mhn Trnson Inpu snn: "w--s h r-n-go wo -b- I n pp. " -> Morphoog Anyss -> Synx Anyss noun vrb noun -> sub prd ob -> Sn Anyss on "-b-ru" gn "w--s" rg "r-n-go" ps Convr bsd on Engsh xoog noron onvr sn xprssons proxy dph. <- Us bngu donry on gni rgn pp ps Gnr synxs nd orphs h onvrson o word ordr nd oupu rnson. <- Us bngu donry nouni vrbps nounn pp Oupu snn: "I n pp."
3 Ps Mhn Trnson I ws prsupposd h Jpns nd Engsh wr dn n ds sn vs. I ws ssud h orphoog synx nd sn nyss wr propry opd. Howvr h ry ws no so sp. Exps whr onps wr no hd sn vs. Yu -> ho wr Mo---n- ->? oo uh no us No uso o usng "prson hks" n Jpn!
4 Bngu Donry Jpns-> nng R-n-go -> APPLE Mnng-> Engsh ALLPE-> br noun or sngur: pp pur: pps A h synx nd orphoog v "n pp" s hosn s sngur or nd "pps" s pur or.
5 Ps Mhn Trnson: Exp-bsd Trnson Cr DB o ow pr srh or bngu snns. E.x. "w--s h -k-n wo -b-" <- -> I n orng. Inpu snn: "w--s h r-n-go wo -b-" Srh or sr Jpns snn ro bngu DB. "w--s h -k-n wo -b-" Exhng n dn pr "-k-n" or "r-n-go". Exhng "r-n-go" or "n pp" bsd on Jpns- Engsh donry. Oupu snn: I n pp. Obvousy rs. wr sd ordng o gr rus. Thus subsn oun o pross uzd wh xsng synx rus nd orphoog nyss hnqus.
6 Prvous Mhn Trnson: Exp-bsd Trnson Pr srh ws n ngr pr. Synx nyss oud hv bn pnd whh woud k h sys osr o ss hn rnson. Inrsng oons o pr snns provd h quy o rnson. Th oon vy ws n uo pross.
7 Ss Mhn Trnson SMT Ths hod s o nd ounrpr rnson n rg ngug whou usng ngus knowdg. An ngus hory. An uud bngu pr orpus. An gnd snn orpus. Th orpus s uzd o uoy gn words nd phrss nd xr pr rnsons. Snns orrspond h ohr. Unr h word srngs r propry n pr. A hug srh sp. Pr Brown S. D Pr V. D Pr Robr Mrr.. IBM prsnd ppr "Th Mhs o Ss Mhn Trnson: Prr Eson" n 993 rgrdng CL. Th oowng dsrpon s rrrng o hs ppr.
8 Bys Thor Cndn Hnsrd: Frnh-Engsh Bngu orpus Fnd rgh Engsh srng: or Frnh srng:. Gvn Frnh srng: nd ^rg x Pr Too ny ndds or whh orrspond o n b ound!! hn Pr Pr Pr Pr ^ rgx Pr Pr
9 Rson or Pr x Pr bu no Pr Too ny ndds or whh orrspond o n b ound!! Pr orpor nud s nubr o pr snns. Th purpos o hs pross s o nd rgh Engsh srng or n und nubr o Frnh srngs. I s no gurnd h h probby s hgh or h rgh Engsh srng n h quon o Pr. Obn Pr ro spr noron sours so h h ssu o ndng h rgh Engsh s dry kn r o.
10 Agnn Th poor 2 don 3 hv 4 ny 5 ony 6 Ls puvrs 2 son 3 duns 4 Ls puvrs son duns Th poor2 don 34 hv34 ny34 ony34 A -> r snns.
11 Dsrpon Mhod Pr ks gnn no onsdron Pr 2 Pr Pr... whr Engsh words 2 2 は単語列 Pr はgnn whr whr xprss word squn; s gnn; Pr rnh words は単語 rprsn words. Pr Th oowng sds xpn so hods o vu Pr.
12 IBM Mod In hs od h ordr o ourrn o words n Engsh nd Frnh snns r no onsdrd o b nr-rd. - Trnson s dpndn ony on ndvdu words. - 2 ε Pr Pr Pr Pr は単語列 ε はgnn xprss word squn; s gnn; 3 2 は単語 rprsn words.
13 Mod In hs od gnn ks ny vu ro o nd qus /. Mxz Pr by Lgrng upr hod onsrn: 4... Pr k k k h h ε ε ε のいずれかを表す は単語 xprss hr.
14 ε... k k k Pr 7 ; Pr 8 Dno s h s Engsh word s rnsd no Frnh word n rnson. Th sond Σ rprsns h o nubr o rnsons o nd n gnn. Pr Pr /Pr は単語列 : word srng ; Pr Pr 9 Pr ; -
15 Equon 9 rprsns h nubr o rnsons o nd. In hs quon gnn s no usd. Rr o h quon bow: * * 2 : 8 * * : S s h nubr o rnsons s s s S s gvn s hng d bsd on h orpus. Us h o nubr o S rnsons o rwr quon. Ps rbr h quon bow bus w b usd r. Rp Pr n quon or. ; S s s s
16 On or sp o opu s onon xprsson.... E.x Thror 2 Pr ε 2
17 6... ; 5 5 Pr 4 3 : onsrn by h h ε ε Lgrng upr hod s gn usd.
18 Es wh EM -.S ny du vu or. 2.Cu h quon bow or h s s <s <S. s s ;... I s no ony whn nd r h ors or s nd s rspvy whn h vu o s.
19 Es wh EM Whn s h -hnd br bos on. Us o s nw vu or. 4. Rp 2 & 3 un s onvrgd. s s ; S s ; s s S s S s S s s s s s ; ;
20 Mod 2 Agnn dpnds on oons. h hn Pr... Pr Pr μ μ ε ラグランジュに依存が s dpndn on nd. Lgrng
21 Us Lgrng upr hod o obn drnd h. S s S s μ μ μ Pr Pr Pr Pr ; Pr ; ; Pr ; Pr Pr ; Pr s s s s 注 : さらに意味的に考えてここまでは同じだが S produrs un h n bov. Sn nyss s prord No
22 Appy h s hod s Mod. s - n Mod wh s vrbs n Mod 2. For h rs nd wh EM gorh n h s wy. Us h rsu o Mod or h du vu.... ;... ; Pr ε
23 Mod 3 On word s rnsd no n words: no > n ps Consdr h s o n no rnsd. Jpns dos no hv rs. Th oons o orrspondng words r wsd. Drn n word ordr bwn Jpns nd Engsh. Mod o rspond o hs ondons.
24 Rproduon probby n: Probby h Engsh word s nkd o nubr o Frnh words. Trnson probby : Probby h Engsh word s rnsd o Frnh word. Dsoron probby d: Probby h h ngh o Engsh snn h ngh o Frnh snn nd h oon o Engsh word r onnd o h oon o Frnh word. Th nubr o rproduon o py Engsh word
25 Φ nubr o words r nsrd h probby o p r Frnh words r gnrd bsd non-py Engsh words: p p p p.... Pr
26 Ar h oowng prpron: 32!... Pr... Pr 2 d n p p Φ! rprsns h oun o word srngs whos ordr n h word srng o Φ nubr gnrd ro. Is hngd.
27 Mxz Pr n quon 32 by Lgrng upr hod on ondon h h ddon o n d nd p os. Howvr unk od nd 2 us b dry ud bus ddon nd upon r no nrhngb. Thr r ny obnons. Vrb gorh s usd o pror rough uon.
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