Introduction to GAN model

GAN

2017/1/30

[1] Generative Adversarial Nets: Goodfellow, Ian et al, Advances in Neural Information Processing Systems 27, 2014 GAN

sshojiQiita http://qiita.com/sshoji/items/306bd8aa8359bca73208

generator

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discriminator

generator

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discriminator

x pdata

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discriminator

x pdata

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discriminator

x pdataD x( )

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discriminator

z

z pz z( )

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discriminator

z pz z( )

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discriminator

z pz z( )

G z( )

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discriminator

z pz z( )

G z( )

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discriminator

z pz z( )

D G z( )( )

G z( )

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discriminator

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discriminator

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discriminator

m x

x

generator

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discriminator

D (x)

0.30.8!0.4

x

D x( )

generator

data

discriminator

minGmaxDV D,G( ) = xpdata x( ) logD x( ) +zpz z( ) log 1D G x( )( )( )

0.30.8!0.4

x

D x( )

generator

data

discriminator

m z

36!9

z

generator

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discriminator

m G(z)

36!9

z

G x( )

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discriminator

36!9

z

G x( )

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discriminator

36!9

D(G (z))

0.14.7

!8.0

G x( ) D G x( )( )z

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data

discriminator

36!9

0.14.7

!8.0

minGmaxDV D,G( ) = xpdata x( ) logD x( ) +zpz z( ) log 1D G x( )( )( )

G x( ) D G x( )( )z

generator

data

discriminator

d1m

logD xi( ) + log 1D G zi( )( )( )

i=1

m

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discriminator

d1m

logD xi( ) + log 1D G zi( )( )( )

i=1

m

generator

data

discriminator

k

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discriminator

m

84!7

z

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discriminator

m

84!7

G x( )

z

generator

data

discriminator

84!7

G x( )

z

generator

data

discriminator

D(G (z))

2.69.7

!2.3

84!7

G x( ) D G x( )( )z

generator

data

discriminator

g1m

log 1D G zi( )( )( ) i=1

m

36!9

2.69.7

!2.3

G x( ) D G x( )( )z

generator

data

discriminator

g1m

log 1D G zi( )( )( ) i=1

m

l GAN G D

l D

l G G