Neural point-forms are introduced as permutation-invariant neural layers that output learned form-comparison matrices for point clouds, with a claimed consistency proof under sampling and manifold assumptions and competitive results on synthetic and biological data.
Arnold.Finite element exterior calculus
2 Pith papers cite this work. Polarity classification is still indexing.
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Bounded cochain complexes are built between simplicial and Čech-de Rham complexes, producing a priori and a posteriori error estimates for their Hodge-Laplace problems.
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Neural Point-Forms
Neural point-forms are introduced as permutation-invariant neural layers that output learned form-comparison matrices for point clouds, with a claimed consistency proof under sampling and manifold assumptions and competitive results on synthetic and biological data.
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Approximation properties of double complexes
Bounded cochain complexes are built between simplicial and Čech-de Rham complexes, producing a priori and a posteriori error estimates for their Hodge-Laplace problems.