Topology and geometry of data manifold in deep learning — mentioned by esafak

Tue, 20 May 2025 14:06:53 GMT

If it was topology we wouldn't bother to warp the manifold so we can do similarity search. No, it's geometry, with a metric. Just as in real life, we want to be able to compare things. Topological transformation of the manifold happens during training too. That makes me wonder: how does the topology evolve during training? I imagine it violently changing at first before stabilizing, followed by geometric refinement. Here are some relevant papers: * Topology and geometry of data manifold in deep learning (https://arxiv.org/abs/2204.08624) * Topology of Deep Neural Networks…

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Topology and geometry of data manifold in deep learning · HackerPapers discussions

Topology and geometry of data manifold in deep learning — mentioned by esafak