A Free Probabilistic Framework for Denoising Diffusion Models: Entropy, Transport, and Reverse Processes

arXiv — cs.LGTuesday, November 4, 2025 at 5:00:00 AM

A Free Probabilistic Framework for Denoising Diffusion Models: Entropy, Transport, and Reverse Processes

A new paper introduces a groundbreaking probabilistic framework that enhances denoising diffusion models by incorporating noncommutative random variables. This development is significant as it builds on established theories of free entropy and Fisher information, offering fresh insights into diffusion and reverse processes. By utilizing advanced tools from free stochastic analysis, the research opens up new avenues for understanding complex stochastic dynamics, which could have far-reaching implications in various fields, including statistics and machine learning.
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