The output returns, for example, X_distance[:, :, 0] which is not symmetric. As noticed by @ulupo in this discussion, the computation of the bottleneck distance is made by Hera and when delta is not zero the calculations are approximate and symmetry is not guaranteed.
The documentation of PairwiseDistance should include this explanation.
Test code:
The output returns, for example,
X_distance[:, :, 0]
which is not symmetric. As noticed by @ulupo in this discussion, the computation of the bottleneck distance is made by Hera and when delta is not zero the calculations are approximate and symmetry is not guaranteed.The documentation of PairwiseDistance should include this explanation.