Minimax Optimality of Score-based Diffusion Models: Beyond the Density Lower Bound Assumptions

Keyphrases

• Diffusion Model 100%
• Minimax Optimality 100%
• Score-based Diffusion Model 100%
• Nonparametric 66%
• Mean Square Error 33%
• Minimax Optimal 33%
• Kernel-based 33%
• Total Variation 33%
• Gaussian Assumption 33%
• Score Function 33%
• Sobolev Spaces 33%
• Optimal Mean 33%
• Asymptotic Error 33%
• Nonparametric Statistics 33%
• Sub-Gaussian 33%
• Model-based Sampling 33%
• Early Stopping 33%
• Sub-Gaussian Distribution 33%
• Stopping Strategies 33%

Mathematics

• Optimality 100%
• Minimax 100%
• Diffusion Model 100%
• Gaussian Distribution 40%
• Polynomial 20%
• Mean Square Error 20%
• Parametric 20%
• Asymptotics 20%
• Upper Bound 20%
• Total Variation 20%
• score function ψ 20%
• Sobolev Space 20%