Slide 31
Slide 31 text
2-2-2. ༗ (D )
x1
ͷ͖݅֬ p(x1
|x2
, · · · , x7
)
p(x1|x2, · · · , x7)
=
p(x1)p(x2)p(x3)p(x4|x1, x2, x3)p(x5|x1, x3)p(x6|x4)p(x7|x4, x5)
∫
p(x1)p(x2)p(x3)p(x4|x1, x2, x3)p(x5|x1, x3)p(x6|x4)p(x7|x4, x5) dx1
=
p(x1)p(x2)p(x3)p(x4|x1, x2, x3)p(x5|x1, x3)p(x6|x4)p(x7|x4, x5)
p(x2)p(x3)p(x6|x4)p(x7|x4, x5)
∫
p(x1)p(x4|x1, x2, x3)p(x5|x1, x3) dx1
=
p(x1)p(x4|x1, x2, x3)p(x5|x1, x3)
∫
p(x1)p(x4|x1, x2, x3)p(x5|x1, x3) dx1
(2.28)
ͱͳΔɻ
ͭ·Γɺk = i(= 1) ͷҼࢠ p(x1
) ͱϊʔυͷू߹ pak
ͷதʹ xi
(= x1
)
ؚΉΑ͏ͳ k(= 4, 5) Ҏ֎ͷҼࢠͷੵͷ֎ʹग़ͯɺࢠͱΩϟ
ϯηϧ͞ΕΔ͜ͱ͕Θ͔Δɻ
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