powerpoint presentation - university of minnesotahspark/csci5561_s2020/lec...tt b b bx b b x xb d ·...
TRANSCRIPT
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Dx
Dx
maximize corr x y2
minimize x y
yx
Dx
d
y m
1
2
3
1 1b
2 2b 3 3
b
y m
1
2
3
1 1b
2 2b 3 3
b
2minimize x x B
x x B
1 2
3
m
1
2
3
1 1b
2 2b 3 3
b
2minimize x x B
x x B
1
d
Bm
y
y
m
1
2
3
1 1b
2 2b 3 3
b
2minimize y m B
1
d
Bm 2
minimize x yy
y
ix 2
minimizem B
m B y m B
1 n
i
i
m xn
ix 2
minimizem B
m B y m B
1 n
i
i
m xn
ix
ix
m
2minimize
m Bm B y m B
1 n
i
i
m xn
i
x
m
2minimize
m Bm B y m B
ix
ix m
1 n
i
i
m xn
i
x
m
2minimize
m Bm B y m B
ix
ix m
ix
ix
b
ix
bi i
b x
b
i
ix
bi i
b x
b
i
2
1
2
1
maximize
maximize
maximize
ni
bi
n
i
bi
T T
b
b
b x
b
b X Xb
1 nX x x
ix
bi i
b x
b
i
2
1
2
1
maximize
maximize
maximize
ni
bi
n
i
bi
T T
b
b
b x
b
b X Xb
1 nX x x
ix
bi i
b x
b
i
2
1
2
1
maximize
maximize
maximize
ni
bi
n
i
bi
T T
b
b
b x
b
b X Xb
1
T
T
n
x
X
x
ix
bi i
b x
b
i
2
1
2
1
maximize
maximize
maximize
ni
bi
n
i
bi
T T
b
b
b x
b
b X Xb
Tb X X
ix
bi i
b x
b
i
1
1
T
n T
n
x
b
x
ix
bj ii
j
j
b x
b
i
1 1
1 1
1
1
T
d
d
d T
n n n
x
b b
x
d D
ix
b
i
d D
A X B
Tx BB x
2
x bx b
b