(8) [4 pts] Given the spectral graph clustering optimization problem Find y that minimizes y Ly subject to and y¹y =n 1¹y = 0, which of the following optimization problems produce a vector y that leads to the same sweep cut as the optimization problem above? M is a diagonal mass matrix with different masses on the diagonal. Minimize y™ Ly A: subject to and y¹y = 1 1¹y = 0 Minimize y™ Ly O B: subject to and Vi, y¡ = 1 or y₁= -1 1¹y = 0 Minimize y¹ Ly/(yy) subject to 1¹y = 0 Minimize y¹ Ly OD: subject to and y My = 1 1¹ My = 0
(8) [4 pts] Given the spectral graph clustering optimization problem Find y that minimizes y Ly subject to and y¹y =n 1¹y = 0, which of the following optimization problems produce a vector y that leads to the same sweep cut as the optimization problem above? M is a diagonal mass matrix with different masses on the diagonal. Minimize y™ Ly A: subject to and y¹y = 1 1¹y = 0 Minimize y™ Ly O B: subject to and Vi, y¡ = 1 or y₁= -1 1¹y = 0 Minimize y¹ Ly/(yy) subject to 1¹y = 0 Minimize y¹ Ly OD: subject to and y My = 1 1¹ My = 0
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![(8) [4 pts] Given the spectral graph clustering optimization problem
Find y that minimizes y Ly
subject to
and
y¹y =n
1¹y = 0,
which of the following optimization problems produce a vector y that leads to the same sweep cut as the optimization
problem above? M is a diagonal mass matrix with different masses on the diagonal.
Minimize y™ Ly
A: subject to
and
y¹y = 1
1¹y = 0
Minimize y™ Ly
O B: subject to
and
Vi, y¡ = 1 or y₁= -1
1¹y = 0
Minimize y¹ Ly/(yy)
subject to
1¹y = 0
Minimize y¹ Ly
OD: subject to
and
y My = 1
1¹ My = 0](https://content.bartleby.com/qna-images/question/7392f0c9-1741-4dfb-a7cd-a555307a820e/148c4e1b-b782-4735-8608-645517dbfc10/xsagn4u_processed.png)
Transcribed Image Text:(8) [4 pts] Given the spectral graph clustering optimization problem
Find y that minimizes y Ly
subject to
and
y¹y =n
1¹y = 0,
which of the following optimization problems produce a vector y that leads to the same sweep cut as the optimization
problem above? M is a diagonal mass matrix with different masses on the diagonal.
Minimize y™ Ly
A: subject to
and
y¹y = 1
1¹y = 0
Minimize y™ Ly
O B: subject to
and
Vi, y¡ = 1 or y₁= -1
1¹y = 0
Minimize y¹ Ly/(yy)
subject to
1¹y = 0
Minimize y¹ Ly
OD: subject to
and
y My = 1
1¹ My = 0
