A. Bandeira

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20112026

most citedSharp nonasymptotic bounds on the norm of random matrices with independent entries

202 citations · 1.3k across the 61 of their papers we have counts for

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Showing 2023Show all

2 papers · 1 filter

math.PR2023★ 1 cited

Fitting an ellipsoid to a quadratic number of random points

Afonso S. Bandeira, Antoine Maillard, Shahar Mendelson +1

We consider the problem $(P)$ of fitting $n$ standard Gaussian random vectors in $R^{d}$ to the boundary of a centered ellipsoid, as $n, d \to \infty$ . This problem…

cond-mat.dis-nn2023

Injectivity of ReLU networks: perspectives from statistical physics

Antoine Maillard, Afonso S. Bandeira, David Belius +2

When can the input of a ReLU neural network be inferred from its output? In other words, when is the network injective? We consider a single layer, $x \mapsto ReLU (W x)$ , w…