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M. B. Khuzani

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Preprint Sep 2026

Spectral Gap Bounds for Langevin Dynamics in Mixed Spherical Spin Glasses

We prove lower bounds on the relaxation time $1/\gamma_{N,\beta}$ of Langevin dynamics for mixed spherical spin glasses with even mixture $\xi(x)=\sum_{p\ge4}\gamma_p^2x^p$, under a one-step-replica-symmetry-breaking-type standing assumption of strict threshold separation $E_0(\xi)>E_1(\xi)>E_2(\xi)$; the pure spherica...

M. B. Khuzani · 0 citations
Jul 2026

A Coulomb Particle Model for Learning Kernel Attention in Transformers

A particle-based method that learns this distribution by optimizing kernel-target alignment while regularizing particles with a Riesz/Coulomb repulsive potential is proposed and instantiate the method in linearized Transformer attention.

M. B. Khuzani, Sharath Honnaiah, Atiq Islam et al. · 0 citations

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