Zhiyuan Ouyang

Primal-Spectral Generative Modeling: Fast Analytical Generation via Pseudoinverse Lévy Inversion

A probability distribution $\mathbb{P}$ is a measure on a $\sigma$-algebra, assigning mass to sets rather than points. This poses a challenge for the training of neural networks, which often struggle to reconstruct the global topology of continuous manifolds from sparse samples. We mitigate this iss…