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math.PR2026
Gradient Mean-Field Dynamics with Measure-Valued States: Well-Posedness, Chaos, and Long-Time Stability
Anderson Melchor Hernandez
We study a stochastic mean-field interacting particle system whose state space is $\Y = \Tt^d \times \cP(U)$, where the first component represents a spatial variable and the second…
quant-ph2026
On a Central Limit Theorem and Sanov's principle for quantum neural networks
Anderson Melchor Hernandez
In this work, we study the fluctuations of a Mixture of Experts (MoE) generated by a quantum neural network trained via gradient flow on supervised learning problems. Our main resu…