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by KRAKRISMOTT 1022 days ago
> We’re using formal logic in the form of abstract rewrite systems over a causal graph to perform geometric deep learning. In theory it should be able to learn the same topological structure of data that neural networks do, but using entirely discrete operations and without the random walk inherent to stochastic gradient descent.

Abstract rewrite like a computer algebra system's (e.g. Wolfram) term rewriting equation simplication method?

1 comments

Heavily influenced by Wolfram's work on metamathematics and the physics project, in so far as using a rewrite system to uncover an emergent topology; we're just using it to uncover the topology of certain data (assuming that the manifold hypothesis is correct), rather than the topology of fundamental physics as he did.