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研究室輪講用のスライド.

研究室輪講用のスライド.

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  • 1. 2 (a)02 2 0 2
  • 2. 2 (b)02 2 0 2
  • 3. 2 (b)02 2 0 2
  • 4. 2 (c) (b)02 2 0 2
  • 5. 2 (c) (d) (b)02 2 0 2
  • 6. 2 (c) (e) (d) (b)02 2 0 2
  • 7. 2 (f) (c) (e) (d) (b)02 2 0 2
  • 8. 2 (g) (f) (c) (e) (d) (b)02 2 0 2
  • 9. 2 (h) (g) (f) (c) (e) (d) (b)02 2 0 2
  • 10. 2 (i) (h) (g) (f) (c) (e) (d) (b)02 2 0 2
  • 11. 1000 J500 0 1 2 3 4
  • 12. … …
  • 13. 202 2 0 (a) 2
  • 14. 202 2 0 (b) (a) 2
  • 15. 2 L=102 2 0 (b) (a) (c) 2
  • 16. 2 1 L=202 2 0 (d) (b) (a) (c) 2
  • 17. 2 1 L=2 502 2 0 (e) (d) (b) (a) (c) 2
  • 18. 2 1 L = 20 5 202 2 0 (e) (d) (b) (a) (c) (f) 2
  • 19. ￿ ￿ ￿ln p(X|θ) = ln p(X, Z|θ) z
  • 20. ￿Q(θ, θold ) = p(Z|X, θold )p(X, Z|θ) Z θnew = argmaxθ Q(θ, θold )
  • 21. Q(θ, θold ) ￿￿ znk p(X, Z|µ, Σ, π) = πk N (xn |µk , Σk )znk ￿i kln p(X, Z|µ, Σ, π) = znk {ln πk + ln N (xn |µk , Σk )} i,k Z =
  • 22. p(zk = 1)p(x|zk = 1)γ(zk ) ≡ p(zk = 1|x) = ￿K j=1 p(zj = 1)p(x|zj = 1) πk N (x|µk , Σk ) = ￿K j πj N (x|µj , Σj ) ￿N ￿ N 1 µk = γ(zik )xi Nk = γ(zik ) Nk i=1 i=1 N 1 ￿ Σk = γ(zik )(xi − µk )(xi − µk )T Nk i=1