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 ' 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 AAACaXichVFNLwNBGH66vuujxaXhIjbEqZmKhDgJF8cWLYk2srumNbpfdqdNaPwBJzfBiURE/AwXf8ChP0EcSVwcvLvdRGjwTmbmmWfe551nZnTXFL5krBlTOjq7unt6++L9A4NDieTwSMF3ap7B84ZjOt6WrvncFDbPSyFNvuV6XLN0k2/q1ZVgf7POPV849oY8dHnJ0iq2KAtDk0QVir6w+MFOUmVpFsZEO8hEQEUUWSd5iyJ24cBADRY4bEjCJjT41LaRAYNLXAkN4jxCItznOEactDXK4pShEVulsUKr7Yi1aR3U9EO1QaeY1D1STmCKPbE79soe2T17Zh+/1mqENQIvhzTrLS13dxInqfX3f1UWzRJ7X6o/PUuUsRB6FeTdDZngFkZLXz86e11fXJtqTLNr9kL+r1iTPdAN7PqbcZPja5eI0wdkfj53OyjMpjOEc3Pq0nL0Fb0YxyRm6L3nsYRVZJGnc/dxinNcxF6UYSWljLVSlVikGcW3UNRPvZ+MLQ== = 0 + M X i=1 ix0 i AAAClnichVFdSxtBFD2u2mrUmrYvQl8Gg1IoyN1SaCm0SIvYl0JMjAkYs+yukzi4X+xugnbJH/AP+OCTgoj0N/hUaPsHfPAniI8W+tKH3mwWpAbrXXbmzLn33DkzYwWOimKiiyFteGT0wcOx8dzE5NSj6fzjJ2uR3w5tWbF9xw9rlhlJR3myEqvYkbUglKZrObJqbX/s5asdGUbK91bj3UBuuGbLU01lmzFTRl4X70Q92FLCIPFC1KO2K4xEMal3G5+zjBI7jaQehMqVXUMZ+QItUBpiEOgZKCCLop8/QR2b8GGjDRcSHmLGDkxE/K1DByFgbgMJcyEjleYlusixts1VkitMZrd5bPFqPWM9Xvd6Rqna5l0c/kNWCszROZ3SNf2kr3RJf+7slaQ9el52ebb6WhkY03sz5d/3qlyeY2zdqP7rOUYTb1Kvir0HKdM7hd3Xd77sX5ffluaSeTqiK/Z/SBf0jU/gdX7ZxyuydIAcP4B++7oHwdrLBZ3xyqvC4ofsKcbwDLN4zvf9Gov4hCIqvO8+zvAdP7QZ7b22pC33S7WhTPMU/4RW/Au3ypqE 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 AAAClnichVFdSxtBFD2u2mrUmrYvQl8Gg1IoyN1SaCm0SIvYl0JMjAkYs+yukzi4X+xugnbJH/AP+OCTgoj0N/hUaPsHfPAniI8W+tKH3mwWpAbrXXbmzLn33DkzYwWOimKiiyFteGT0wcOx8dzE5NSj6fzjJ2uR3w5tWbF9xw9rlhlJR3myEqvYkbUglKZrObJqbX/s5asdGUbK91bj3UBuuGbLU01lmzFTRl4X70Q92FLCIPFC1KO2K4xEMal3G5+zjBI7jaQehMqVXUMZ+QItUBpiEOgZKCCLop8/QR2b8GGjDRcSHmLGDkxE/K1DByFgbgMJcyEjleYlusixts1VkitMZrd5bPFqPWM9Xvd6Rqna5l0c/kNWCszROZ3SNf2kr3RJf+7slaQ9el52ebb6WhkY03sz5d/3qlyeY2zdqP7rOUYTb1Kvir0HKdM7hd3Xd77sX5ffluaSeTqiK/Z/SBf0jU/gdX7ZxyuydIAcP4B++7oHwdrLBZ3xyqvC4ofsKcbwDLN4zvf9Gov4hCIqvO8+zvAdP7QZ7b22pC33S7WhTPMU/4RW/Au3ypqE 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 0 2

Slide 18

Slide 18 text

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) 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 xi = 0 ) i = 0 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 fA(x) fA(x \ xi) fB(x) fB(x \ xi) ) i(fA, x) i(fB, x) 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

Slide 19

Slide 19 text

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)] AAAC/HichVHNahRBEK4Zo4nrT1a9CLn0ukR2IRt6QkARhIAXL4H8uElgdx1mxpqkyfxlumfZZLI+gC+QgydDQgghV1/Aiy/gIY8gHiN4UbBmdnCNQa2mu7/+qr6q6m478oRUnJ9p+pWRq9dGx66Xbty8dXu8fOfuigyT2MGmE3phvGZbEj0RYFMJ5eFaFKPl2x6u2pvPMv9qF2MpwuCF2o6w41vrgXCFYymizPJeO9oQzBSs5k6xXp09ZW2Z+MxMd16m7SgWPvYzxpaocIv1fpHEurHlpLvDuN1KbZ412O8Maxj1Sj+dr/RLLdfs1YauOkVeZKgMKl8EiWSi3jHLVT7Nc2OXgVGAKhS2EJaPoA2vIAQHEvABIQBF2AMLJI0WGMAhIq4DKXExIZH7EfpQIm1CUUgRFrGbtK7TqVWwAZ2znDJXO1TFoxmTksEk/8SP+Tn/yE/4Z/79r7nSPEfWyzbt9kCLkTn+5v7yt/+qfNoVbAxV/+xZgQuP814F9R7lTHYLZ6Dv7uydLz9Zmkwf8n3+hfp/x8/4B7pB0P3qHC7i0lso0QcYfz73ZbAyM20QXpytzs0WXzEGE/AAavTej2AOnsMCNKnuD62qTWkN/bV+oJ/op4NQXSs09+CC6e9/AgbZwf0= AAAC/HichVHNahRBEK4Zo4nrT1a9CLn0ukR2IRt6QkARhIAXL4H8uElgdx1mxpqkyfxlumfZZLI+gC+QgydDQgghV1/Aiy/gIY8gHiN4UbBmdnCNQa2mu7/+qr6q6m478oRUnJ9p+pWRq9dGx66Xbty8dXu8fOfuigyT2MGmE3phvGZbEj0RYFMJ5eFaFKPl2x6u2pvPMv9qF2MpwuCF2o6w41vrgXCFYymizPJeO9oQzBSs5k6xXp09ZW2Z+MxMd16m7SgWPvYzxpaocIv1fpHEurHlpLvDuN1KbZ412O8Maxj1Sj+dr/RLLdfs1YauOkVeZKgMKl8EiWSi3jHLVT7Nc2OXgVGAKhS2EJaPoA2vIAQHEvABIQBF2AMLJI0WGMAhIq4DKXExIZH7EfpQIm1CUUgRFrGbtK7TqVWwAZ2znDJXO1TFoxmTksEk/8SP+Tn/yE/4Z/79r7nSPEfWyzbt9kCLkTn+5v7yt/+qfNoVbAxV/+xZgQuP814F9R7lTHYLZ6Dv7uydLz9Zmkwf8n3+hfp/x8/4B7pB0P3qHC7i0lso0QcYfz73ZbAyM20QXpytzs0WXzEGE/AAavTej2AOnsMCNKnuD62qTWkN/bV+oJ/op4NQXSs09+CC6e9/AgbZwf0= 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 fx(z0) = f(hx(z0)) = E[f(z)|zS] 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 hg Le M A a ⇠ = argming2G L(f, g, ⇡x0 ) + ⌦(g) 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• . . / • D • D : - - / /-

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• * : . . -. . * : • e da • fe da A L L c E D 2 4 (*) :: da L P / :.- ) (//. :

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• : ./

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, 6 6 → 1 6 6 • = 6

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( 1, ) e h • [ c BF • 6 , 6 6 1 a m] i d H A

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• C G C G • A B 669: :: 9 : .6 9 :6 /0 009 09:

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

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0 • ) 1 :/ ( ./ • d / M% :: 9 1 : 9 : ./0 1 //9 l S T ae f Mgh b m ic

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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

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• p A, S p L 2 • [ p , p 5 L , 1 , 7

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• : • S I S • D A P H S / . / . / F :