A. Piana

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20242026

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math.PR2026

Derivation of the AMP equations from belief propagation for the $ℓ_{2}$ minimisation problem

Giuseppe Genovese, Arianna Piana

We consider the $ℓ_{p}$ -minimisation, which consists of finding the vector $x \in R^{N}$ which minimises $∥ x ∥_{p}$ subject to the linear constraint $y = A x$ , where $y\in\mathbb…

math.PR2025

Stochastic Localization with Non-Gaussian Tilts and Applications to Tensor Ising Models

Dan Mikulincer, Arianna Piana

We present generalizations and modifications of Eldan's Stochastic Localization process, extending it to incorporate non-Gaussian tilts, making it useful for a broader class of mea…

math.PR2024

Fast relaxation of the random field Ising dynamics

Ahmed El Alaoui, Ronen Eldan, Reza Gheissari +1

We study the convergence properties of Glauber dynamics for the random field Ising model (RFIM) with ferromagnetic interactions on finite domains of $Z^{d}$ , $d \geq 2$ . Of p…

Derivation of the AMP equations from belief propagation for the ℓ2​ minimisation problem

Stochastic Localization with Non-Gaussian Tilts and Applications to Tensor Ising Models

Fast relaxation of the random field Ising dynamics

Derivation of the AMP equations from belief propagation for the $ℓ_{2}$ minimisation problem