Suppose we have one-dimensional data points lying in X = [-1,1], that have associated labels in Y = {1,2, 3}. The individual classes have weights %3D 1 T1 = 3' 1 1 6' 73 = 2 and densities P, P2, P; as shown below. (For instance, P is the density of the points whose label is 1; in particular, this means that P integrates to 1.) P1(x) P2(x) 7/8 1/8 -1 1 -1 P3(x) 1/2 -1 1 Based on this information, what labels should be assigned to the following points? a) –1/2 b) 1/2
Suppose we have one-dimensional data points lying in X = [-1,1], that have associated labels in Y = {1,2, 3}. The individual classes have weights %3D 1 T1 = 3' 1 1 6' 73 = 2 and densities P, P2, P; as shown below. (For instance, P is the density of the points whose label is 1; in particular, this means that P integrates to 1.) P1(x) P2(x) 7/8 1/8 -1 1 -1 P3(x) 1/2 -1 1 Based on this information, what labels should be assigned to the following points? a) –1/2 b) 1/2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Suppose we have one-dimensional data points lying in X = [-1,1], that have associated labels in
Y = {1,2, 3}. The individual classes have weights
%3D
1
T1 =
3'
1
1
6'
73 =
2
and densities P, P2, P; as shown below. (For instance, P is the density of the points whose label is 1; in
particular, this means that P integrates to 1.)
P1(x)
P2(x)
7/8
1/8
-1
1 -1
P3 (x)
1/2
-1
1
Based on this information, what labels should be assigned to the following points?
a) –1/2
b) 1/2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3cba12d9-fbbf-45e2-b74d-b1b762da790d%2Ff73beac9-f299-499f-8a85-33b38016d364%2F6nggwda_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose we have one-dimensional data points lying in X = [-1,1], that have associated labels in
Y = {1,2, 3}. The individual classes have weights
%3D
1
T1 =
3'
1
1
6'
73 =
2
and densities P, P2, P; as shown below. (For instance, P is the density of the points whose label is 1; in
particular, this means that P integrates to 1.)
P1(x)
P2(x)
7/8
1/8
-1
1 -1
P3 (x)
1/2
-1
1
Based on this information, what labels should be assigned to the following points?
a) –1/2
b) 1/2
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