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math-ph2026
Exponential concentration of fluctuations in mean-field boson dynamics
Matias Gabriel Ginzburg, Simone Rademacher, Giacomo De Palma
We study the mean-field dynamics of a system of interacting bosons starting from an initially condensated state. For a broad class of mean-field Hamiltonians, including models…
math-ph2025
Mean-field limit from general mixtures of experts to quantum neural networks
Anderson Melchor Hernandez, Davide Pastorello, Giacomo De Palma
In this work, we study the asymptotic behavior of Mixture of Experts (MoE) trained via gradient flow on supervised learning problems. Our main result establishes the propagation of…