Issue with running inverse_canonicalization about equiadapt HOT 2 CLOSED

Thank you for your fast and helpul reply. I understand now, thanks :)
This has made me find another key naming error under the scalar induced_rep_type, I have updated the pull request.

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Thank you for the nice feedback and the PR, @olayasturias! I will look at the PR later and merge it.

The get_action_on_image_features applies a group action to a "feature map" depending on the induced representation type. I suppose you are referring to this line where induced_rep_type="regular". We must ensure this for the regular representation type because we need to reshape the feature map later and perform shifts along the group dimension.

However, in your case, when you want to apply the group action to the image, we are dealing with the "scalar" representation type. Therefore, we do not need to check if feature_map.shape[1] needs to be multiple of num_group, and a roto-reflection on the image suffices.

For more details on understanding induced representations, I recommend Section 2 of the Steerable CNNs paper (and, for further reading, Section 2 of General E(2)—Equivariant Steerable CNNs).

Please let me know if the answer needs to be further clarified (or if I have misunderstood your question), otherwise feel free to close this issue.

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