Generative Drifting is Secretly Score Matching: a Spectral and Variational Perspective
This paper establishes that generative drifting is theoretically equivalent to score matching under Gaussian kernels, providing a spectral and variational framework that explains the empirical superiority of Laplacian kernels, proposes an exponential bandwidth annealing schedule to accelerate convergence, and proves the necessity of the stop-gradient operator through its connection to Wasserstein gradient flows.