20171110

. .

4

5

6

SNS

AIAI

11

X1,X2,,Xn

G

q(x)

p(x)

E[ G ] = + o( ) d

n

1

n

d : , n:

N(x) : m,

p(x|a,s) = (1/s) N( (x-a)/s )

p(X1|w) p(X2|w) p(Xn|w)

p(x|a,b) = (1-a) N(x) + a N(x-b)

(1)

(2) 2

, n=30 (1/s) N((x-a)/s), a=0, s=1.

, n=3000 (1-a)N(x) + aN(x-b), a=0.5, b=0.3

30

n

E[ G ] = + o( )

n

1

n

: , n:

< d/2

s

W

AIC

E[ ] = E[ ] + d

n

d : , n:

AIC

AIC

1993,

WAIC

E[ ] = E[ ] + E[ ]

= Vw[ log p(X|w) ]

d/2n

p(x|w) = ak G(x-bk)K

k=1

x R2

n=50.

K=8, =5

WAIC

] = E[]

WAIC

(1)

(2)

(3)

(1)

x

f

State of Art

f(x) = = x(f)

()

(3)

q(x)

S= - q(x) log q(x)

S

, -, , 66(3), 172-173, 2011.

1

2 3 11, n=30, n=3000 19 21 AIC WAICWAIC(1) () (3)