FromTheorem 2,thevariational gap is strictly positive as long as the rotation part of the score network remainstobenonzero.

This paper introduces a data-adaptive nonlinear diffusion process for score-based diffusion models.

Watermarking images is critical for tracking image provenance and proving ownership.

Modeling real-world multidimensional time series can be particularly challenging when these are sporadically observed ( i.e., sampling is irregular both in time

We study the problem of learning mixtures of linear classifiers under Gaussian covariates.

For deep linear networks, these kernels satisfy a set of algebraic matrix equations. For nonlinear networks, we provide an alternating sampling procedure to self-consistently solve for the kernel order parameters.