G. Genovese

collaborators

2 papers

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

Variational formula for the logarithmic potential of free additive convolutions

Francesco Concetti, David Belius, Giuseppe Genovese

We establish a general variational formula for the logarithmic potential of the free additive convolution of two compactly supported probability measure on $R$ . The formula is giv…

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

Variational formula for the logarithmic potential of free additive convolutions

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