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I was wondering how specific symmetries or constraints such as property-invariance transformation are imposed on any (deep) neural net when they are trained.

I'll appreciate it if anyone can aware me of the relevant researches in this direction.

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  • $\begingroup$ Do you have specific "properties" in mind? Convolution NNs are famously translation equivariant. Achieving other symmetries is harder: arxiv.org/pdf/1909.12057.pdf $\endgroup$
    – bogovicj
    Jun 29, 2020 at 19:04
  • $\begingroup$ Thanks for the paper! Shift-invariance was the first example that occurs to me. In fact, in terms of object detection and in particularly the convolutional nets, I believe any Affine transformation should in principle keep the result intact, although there might be no guarantee on better performance. $\endgroup$
    – arash
    Jun 30, 2020 at 21:00

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