Author

L. E. MacDonald

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Preprint Sep 2026

ANaLOG: Anisotropic Native-Latent Operator Guidance for Solving Inverse Problems

Native-latent guidance is a recent paradigm for solving inverse problems with latent diffusion models. It replaces repeated evaluations of the image-space forward model, each requiring a decoder pass, with efficient guidance computed using a learned latent-space surrogate. However, existing methods apply guidance unifo...

D. Thaker, L. E. MacDonald, René Vidal · 0 citations

Jul 2026

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima

It is proved that the set of flat minima forms a fibre bundle over a product of spheres, and that the sharpness is Morse-Bott along this manifold.

L. E. MacDonald, René Vidal · arXiv.org · 1 citation

Preprint Jul 2026

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima

An important quantity in the theory of gradient descent (GD) is the \emph{sharpness}, defined as the largest eigenvalue of the objective Hessian. Classical analyses typically require the step size to be uniformly smaller than twice the reciprocal of the sharpness, but this condition is frequently violated in the traini...

L. MacDonald, René Vidal · 0 citations