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Explore a geometric interpretation of optimal transport theory and its application to generative models in this 52-minute lecture. Delve into the principles behind text-to-video generative models like Sora, analyzing their successes and limitations. Examine the physical errors in generated videos, including contradictions between correlation and causality, local coherence versus global absurdity, and the absence of critical states. Gain insights into the intrinsic reasons for these mistakes and discover proposed methods for improving generative models through the lens of optimal transport theory.
