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math.NA2026
Fourier-Diagonalized Natural Gradients and Sobolev Mirror Descent
Jeongbin Jo
We study natural-gradient updates whose metric operators are diagonalized by the Fourier transform and relate them to Sobolev mirror descent. Translation-invariant Fisher geometrie…
math.NA2026
McLachlan-projected reduced dynamics for ill-posed Schrödingerized backward diffusion
Jeongbin Jo
Backward diffusion is a prototype ill-posed evolution: high spatial frequencies grow exponentially in time, so mesh-based time marching without explicit regularization is quickly o…