Using the concept of Transpose Convolution, fill in the values of X, Y and Z below.(padding = 1, stride = 2)Input: 2x2 1234Filter: 3x3111000-1-1-1Result: 6x6000XY4220000-3Z-4-41 point

The Transpose Convolution, also known as the fractionally strided convolution or deconvolution, is a process that aims to 'reverse' the effect of a normal convolution. It is used in applications such as generating high-resolution images from low-resolution ones.

Given the input, filter, padding, and stride values, we can calculate the values of X, Y, and Z in the result matrix.

Here's how:

1. First, we apply zero-padding of 1 to the input matrix. This transforms our 2x2 input into a 4x4 matrix:

   0000 0120 0340 0000

2. Next, we apply the filter to the padded input with a stride of 2. This means we move the filter two steps each time.

3. The filter is applied to the top left 3x3 section of the padded input first, resulting in the value for X:

   (01 + 01 + 00) + (01 + 11 + 20) + (0*-1 + 0*-1 + 0*-1) = 1

4. The filter is then applied to the 3x3 section starting at the third row and third column of the padded input, resulting in the value for Y:

   (21 + 01 + 00) + (31 + 41 + 00) + (0*-1 + 0*-1 + 0*-1) = 9

5. Finally, the filter is applied to the 3x3 section starting at the third row and first column of the padded input, resulting in the value for Z:

   (01 + 21 + 00) + (01 + 31 + 40) + (0*-1 + 0*-1 + 0*-1) = 5

So, X = 1, Y = 9, and Z = 5.