Discrete decentralized learning dynamics on manifolds converge uniformly to an overdamped Langevin SDE whose stationary states produce orthogonally disentangled, linearly separable features.
Springer Science & Business Media
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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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Continuous Limits of Coupled Flows in Representation Learning
Discrete decentralized learning dynamics on manifolds converge uniformly to an overdamped Langevin SDE whose stationary states produce orthogonally disentangled, linearly separable features.
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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.