sounds like you may have already come across it and been inspired by it, but if not, you may be interested to hear that symmetry has been investigated for using neural networks to model physical systems; see, eg, previous linkpost to a nice talk intro to the topic, or a more recent talk by the same person at IPAM, or one of the other several recent talks at IPAM which might connect strongly to natural abstraction. There are also interesting results for symmetry in various contexts related to learning on arxivxplorer.
sounds like you may have already come across it and been inspired by it, but if not, you may be interested to hear that symmetry has been investigated for using neural networks to model physical systems; see, eg, previous linkpost to a nice talk intro to the topic, or a more recent talk by the same person at IPAM, or one of the other several recent talks at IPAM which might connect strongly to natural abstraction. There are also interesting results for symmetry in various contexts related to learning on arxivxplorer.