most citedA singular Riemannian Geometry Approach to Deep Neural Networks III. Piecewise Differentiable Layers and Random Walks on -dimensional Classes

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

cs.LG2026

A Theory of Speciation in Generative Diffusion Models on Compact Riemannian Manifolds

Alessio Marta, Paola Causin

Speciation in generative diffusion models denotes the emergence of distinct stable branches during denoising, through which initially undifferentiated trajectories progressively co…

math.AP2024

Local well-posedness for the nonlinear heat and Schrödinger equations with nonlinear Wentzell boundary conditions on time-dependent compact Riemannian manifolds

Alessio Marta

We prove a local well-posedness result for the semilinear heat and Schrödinger equations with subcritical nonlinearities posed on a time-dependent compact Riemannian manifold and s…

math.DG2024★ 1 cited

A singular Riemannian Geometry Approach to Deep Neural Networks III. Piecewise Differentiable Layers and Random Walks on -dimensional Classes

Alessandro Benfenati, Alessio Marta

Neural networks are playing a crucial role in everyday life, with the most modern generative models able to achieve impressive results. Nonetheless, their functioning is still not…