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Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates

Liu, Jianing et al.
arXiv (All) · Papers
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chemical-physicscomputational-physicsdata-analysismachine-learningnumerical-analysisstatistics-and-probability
Nonlinear least-squares objectives form the foundation of scientific machine-learning tasks, yet even curvature-aware optimizers remain geometrically inconsistent at finite step sizes: Levenberg-Marquardt (LM) derives its direction from local Riemannian metrics but realizes it as a straight paramete
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