3 problems

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General certificate existence for one-dimensional manifolds
General certificate conjecture. A phenomenon analogous to the existence of a certificate for the two-circles geometry should hold for general one-dimensional manifolds, possibly wi…
Conjectureopenmanifold-learning neural-tangent-kernel optimizationarXiv posted 2 days ago
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The infinite-width deterministic-kernel conjecture for PINNs
Infinite-width deterministic-kernel conjecture. For any linear or nonlinear partial differential equation, the NTK of the PINN converges to a deterministic kernel and remains const…
Conjectureopenneural-tangent-kernel partial-differential-equations physics-informed-neural-networksarXiv posted 2 days ago
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Width independence conjecture for residual networks
Width independence conjecture. We conjecture that $m$ is independent of $L$ .
Conjectureopendeep-learning neural-tangent-kernel residual-networksarXiv posted 2 days ago

General certificate existence for one-dimensional manifolds