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8/11/2019 10.1.1.27.9072
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2
0
1 0
0
0
1
1
1
1
1
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1
1
1
1
1
1
1
1
1
1
1
1
0
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0
0
0
0
0
0
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-.5
0
.5
1
1.5
2
2.5
3
3.5
-2 -1 0 1 2 3 4 5
InterpolantData
-.5
0
.5
1
1.5
2
2.5
3
3.5
-2 -1 0 1 2 3 4 5
InterpolantError bars
Data
-.5
0
.5
1
1.5
2
2.5
3
3.5
-2 -1 0 1 2 3 4 5x
InterpolantData
0
6
0
0
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0
0
0
0
0
0
0
0
0
0
0
0
0
0
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-200
-150
-100
-50
0
50
100
150
200
0.0001 0.001 0.01 .1 1 10 100 1000Alpha
Log EvidenceData X^2
W X^2Log Occam Factor
-100
-50
0
50
100
150
200
250
0.0001 0.001 0.01 .1 1 10 100 1000Alpha
Log Evidence
Test Error 1Test Error 2
GammaX^2_w
0
0
0
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0
0
0
0
0
1
1
0
1 1
6
6
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-3000
-2500
-2000
-1500
-1000
-500
0
500
5 10 15 20 25 30 35
Log
Ev
idence
Number of basis functions
Hermite polynomialsHermite functions
-100
-80
-60
-40
-20
0
20 30 40 50 60 70 80
Log
Ev
idence
Number of basis functions
Cauchy functionsGaussians
-100
-80
-60
-40
-20
0
20 40 60 80 100 120 140
Log
Ev
idence
Number of coefficients
0
1
2
3
4
6
012346
0
.2
.4
.6
.8
1
1.2
20 40 60 80 100 120
Test
error
Number of coefficients
012346
6
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0
1
1
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-.5
0
.5
1
1.5
2
2.5
3
3.5
-2 -1 0 1 2 3 4 5
y(x
)
x
Data set Y with interpolant using Splines 2.5
InterpolantError bars
Data
0
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6
6
6
6
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