2.5k citations · 10k across the 171 of their papers we have counts for
193 papers
Free energy of Ising models under a spectral condition
Andrea Montanari, Michael Ren
A sequence of sparse weighted graphs indexed by the number of vertices is said to be left-convergent if all (suitably weighted) subgraph counts converge to a lim…
Towards a statistical theory of data selection under weak supervision
Germain Kolossov, Andrea Montanari, Pulkit Tandon
Given a sample of size , it is often useful to select a subsample of smaller size to be used for statistical estimation or learning. Such a data selection step is useful t…
Six Lectures on Linearized Neural Networks
Theodor Misiakiewicz, Andrea Montanari
In these six lectures, we examine what can be learnt about the behavior of multi-layer neural networks from the analysis of linear models. We first recall the correspondence betwee…
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 -spin models for sufficiently large. In this phase, we construct a decom…
Solving systems of Random Equations via First and Second-Order Optimization Algorithms
Andrea Montanari, Eliran Subag
We revisit the problem of solving random equations in real variables, when the equations are independent realizations of a Gaussian process in dimensions. A special cas…
Sampling, Diffusions, and Stochastic Localization
Andrea Montanari
Diffusions are a successful technique to sample from high-dimensional distributions. The target distribution can be either explicitly given or learnt from a collection of samples.…