Beginning Anomaly Detection Using


Square Matrix vs. Transposed Square Matrix



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Beginning Anomaly Detection Using Python-Based Deep Learning

Square Matrix vs. Transposed Square Matrix (Figure 

5-6


)

1

5



4

2

A =



1  5  4  2

A

T



=

Figure 5-5.  Original vector vs. its transposed version

B =


B

T

=



1  2  3

4  5  6


7  8  9

1  4  7


2  5  8

3  6  9


Figure 5-6.  Original matrix vs. its transposed self. Note how the entries seem to be 

flipped along the diagonal

Vector vs. Transposed Vector (Figure 

5-5


)

Matrix (nxm) vs. Transposed Matrix (mxn) (Figure 

5-7


)

C =


C

T

=



1  2 

3  4 


5  6 

1  3  5


2  4  6

Figure 5-7.  Original nxm matrix vs. its transposed mxn self. The columns of the 

original matrix C become the rows of the transposed matrix C

T

Rewriting the summations to reflect the multiplication of the respective vectors, one 

being transposed, the energy function is equivalent to the equation in Figure 

5-8


.

Figure 5-8.  The equivalent formula for the energy function written without 

summations

Using the energy function, we can define a 




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