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math.OC2026
Geometric Asymptotics of Score Mixing and Guidance in Diffusion Models
Kang Liu, Enrique Zuazua
Diffusion models are routinely guided in practice by combining multiple score fields, yet the mathematical structure of score mixing is still poorly understood. We study the small-…
math.OC2025
Machine Learning and Control: Foundations, Advances, and Perspectives
Enrique Zuazua
Control theory of dynamical systems offers a powerful framework for tackling challenges in deep neural networks and other machine learning architectures. We show that concepts such…