A. Montanari

activity

20242026

most citedUniversality of empirical risk minimization

23 citations · 38 across the 3 of their papers we have counts for

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4 papers · 1 filter

math.PR2026

Free energy of Ising models under a spectral condition

Andrea Montanari, Michael Ren

A sequence of sparse weighted graphs $(G_{N} : N \geq 1)$ indexed by the number of vertices $N$ is said to be left-convergent if all (suitably weighted) subgraph counts converge to a lim…

math.PR2026★ 15 cited

The high-dimensional asymptotics of first order methods with random data

Michael Celentano, Chen Cheng, Andrea Montanari

We study a class of deterministic flows in $R^{d \times k}$ , parametrized by a random matrix $X \in R^{n \times d}$ with i.i.d. centered subgaussian…

math.PR2025

Shattering in Pure Spherical Spin Glasses

Ahmed El Alaoui, Andrea Montanari, Mark Sellke

We prove the existence of a shattered phase within the replica-symmetric phase of the pure spherical $p$ -spin models for $p$ sufficiently large. In this phase, we construct a decom…

math.PR2024

Solving systems of Random Equations via First and Second-Order Optimization Algorithms

Andrea Montanari, Eliran Subag

We revisit the problem of solving $n$ random equations in $d$ real variables, when the equations are independent realizations of a Gaussian process in $d$ dimensions. A special cas…