43 citations · 90 across the 13 of their papers we have counts for
4 papers · 1 filter
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 , parametrized by a random matrix with i.i.d. centered subgaussian…
CAD: Debiasing the Lasso with inaccurate covariate model
Michael Celentano, Andrea Montanari
We consider the problem of estimating a low-dimensional parameter in high-dimensional linear regression. Constructing an approximately unbiased estimate of the parameter of interes…
Local convexity of the TAP free energy and AMP convergence for Z2-synchronization
Michael Celentano, Zhou Fan, Song Mei
We study mean-field variational Bayesian inference using the TAP approach, for Z2-synchronization as a prototypical example of a high-dimensional Bayesian model. We show that for a…
Minimum complexity interpolation in random features models
Michael Celentano, Theodor Misiakiewicz, Andrea Montanari
Despite their many appealing properties, kernel methods are heavily affected by the curse of dimensionality. For instance, in the case of inner product kernels in , t…