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機械学習と解釈可能性

 機械学習と解釈可能性

情報処理学会 ソフトウェアジャパン2019 ビッグデータ特別セッション登壇資料

67d58b26197110809c99b7ef43f8e0f6?s=128

Takahiro Yoshinaga

February 05, 2019
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sha1_base64="a4/YLHIKKVcObmHaq5VQo+VP944=">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</latexit> <latexit 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sha1_base64="a4/YLHIKKVcObmHaq5VQo+VP944=">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</latexit> <latexit sha1_base64="a4/YLHIKKVcObmHaq5VQo+VP944=">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</latexit> 0 2 
  18.   s m e a: 72, . i c[

    3 7 p ] b o L g l[ 1 2.2 p ] L s L t g u[ 32 2 p rn s d f(x) = g(x0) <latexit sha1_base64="VSXQjNvRp03gMfdTWGzOLJbuCHE=">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</latexit> <latexit 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sha1_base64="VSXQjNvRp03gMfdTWGzOLJbuCHE=">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</latexit> xi = 0 ) i = 0 <latexit sha1_base64="y/sZXW5jBY9fH1K2emXvTRMr9F8=">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</latexit> <latexit 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sha1_base64="y/sZXW5jBY9fH1K2emXvTRMr9F8=">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</latexit> <latexit sha1_base64="y/sZXW5jBY9fH1K2emXvTRMr9F8=">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</latexit> fA(x) fA(x \ xi) fB(x) fB(x \ xi) ) i(fA, x) i(fB, x) <latexit 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  19.   7 p , , , , ü MHe

    hg ] ü S dIL 1, , EH P p ü hg L [ Ib i(f, x) = X z0✓x0 |z0|!(M |z0| 1)! M! [fx(z0) fx(z0 \ i)] <latexit sha1_base64="pV2Q9YHdXutEA9pF7o3tS0/+YfU=">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</latexit> <latexit 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  20. • • e : . c ü . : b

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  39. 23. 1 0 0 125. 6 ˆ f(xS) = ExC

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  46. , 6 6 → 1 6 6 • = 6

  47. ( 1, ) e h • [ c BF •

    6 , 6 6 1 a m] i d H A
  48.      • C G C G

    • A B 669: :: 9 : .6 9 :6 /0 009 09:
  49.      • ) 1 :/ (

    ./ • / % :: 9 1 : 9 : ./0 1 //9
  50. 0 • ) 1 :/ ( ./ • d /

    M% :: 9 1 : 9 : ./0 1 //9 l S T ae f Mgh b m ic
  51. L H 5A 1 M c C p 3 3

    , : 13 c C A aG p . 3:3 23 13 p 3 - 23 , IA 3 E1 . p p + 2 - + 2 - SD M M CID F P M M
  52. • p A, S p L 2 • [ p

    , p 5 L , 1 , 7
  53. • : • S I S • D A P

    H S / . / . / F :