Question 1: Short answer
mediumAI-checkedSegmentationX = torch.arange(9.0).reshape(3, 3) and K = torch.tensor([[1.0, 2.0], [3.0, 4.0]]).
Cross-correlation gives Y = corr2d(X, K) = [[27, 37], [57, 67]]. A transposed convolution with
the same kernel then gives Z = trans_conv(Y, K), which has the same shape as X.
What is Z[1, 1], the center entry (where X[1, 1] = 4)?