RNC-LM extends geodesic-accelerated Levenberg-Marquardt to arbitrary-order Riemann normal coordinate corrections, reusing the LM matrix factorization for all orders and achieving large speedups on PINN and potential-fitting benchmarks.
Levenberg, A method for the solution of certain non-linear problems in least squares, Quarterly of applied mathematics2, 164 (1944)
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Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates
RNC-LM extends geodesic-accelerated Levenberg-Marquardt to arbitrary-order Riemann normal coordinate corrections, reusing the LM matrix factorization for all orders and achieving large speedups on PINN and potential-fitting benchmarks.