Intrinsic Wasserstein Rates for Score-Based Generative Models on Smooth Manifolds
Two new research papers explore theoretical underpinnings of generative models. One paper details intrinsic Wasserstein rates for score-based generative models operating on smooth manifolds, offering a theoretical bound on their sample complexity. The second paper develops a framework for understanding the regularity and generalization of one-step Wasserstein-guided generative models, particularly for probability measures induced by partial differential equations. AI
IMPACT These papers contribute to the theoretical understanding of generative models, potentially leading to more robust and accurate models for complex data distributions and scientific applications.