① b=ab abc abde b w a b nbinfereniey-aogmaxyc-y%cf-pyj-t
TRANSCRIPT
BPE_
aaabcaabdeab←
① A=aa B=ab
ABC Abde Bw
② vocab-- { A , B , b.ci die}
NBinfereniey-aogmaxyc-y%cF-PYJ-t.lk=
argmax ftp.cxily)
yc-fi-l-argma-FEWGY.ua?!?f-eacnwordYET
MLE-forNBLikelihoodfunetionLCO.tn)=É,cogpcxci ! ycii ;
= É log Pcy";E- I
0 C- 1122×1 V1 S.t. Ii Oi , y = I
✗ C- 112
Pcy" '; a)= {
✗ if yci> =/- l- d QW
.
= 1cg"'
1=1 ) a -1 Icy"1=0) ( 1- 2)
LCX ) is concave .
% = փ,log-11cg
"'t- 1) a -11cg
"'=o ) (ta)]
= % ¥2,
1cg" '
= 1) log ✗+ 1-cyciko) toga-2)
I ¥2,1 ( yci ) = c)£ - 1cg"' -07,1--2--0I = ÉÉ Icy" ' =L ) /FÉ Icycity +1cg" 1=0 )= # pros. ex
. / # total
NILEforLRLCW-7-i-Z.bgPCY" ' Indi ) , y)
= É y'" tog + ( 1-of")wgIt¥×
5=1
Is Llw) concave? log ¥éI ①Plot② f-
"
G) C- 0
No closed-form solution !
Rowinfor a penny , in for a poundin :[ ?
10in" - w,)
Bowlsentence)='+a¥, 1C"
in"=Wzo) 2 in
a z for
:O ii.f- ("
in"-
-win)
pound←! 77
WIN