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08/15/2022
Archimedes Meets Privacy: On Privately Estimating Quantiles in High Dimensions Under Minimal Assumptions
The last few years have seen a surge of work on high dimensional statist...
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08/12/2022
Noise stability on the Boolean hypercube via a renormalized Brownian motion
We consider a variant of the classical notion of noise on the Boolean hy...
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07/12/2022
Size and depth of monotone neural networks: interpolation and approximation
Monotone functions and data sets arise in a variety of applications. We ...
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02/17/2021
Non-asymptotic approximations of neural networks by Gaussian processes
We study the extent to which wide neural networks may be approximated by...
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06/28/2020
Community detection and percolation of information in a geometric setting
We make the first steps towards generalizing the theory of stochastic bl...
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06/04/2020
Network size and weights size for memorization with two-layers neural networks
In 1988, Eric B. Baum showed that two-layers neural networks with thresh...
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02/25/2020
A CLT in Stein's distance for generalized Wishart matrices and higher order tensors
We study the convergence along the central limit theorem for sums of ind...
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01/09/2020
How to trap a gradient flow
We consider the problem of finding an ε-approximate stationary point of ...
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03/17/2019
Stability of the Shannon-Stam inequality via the Föllmer process
We prove stability estimates for the Shannon-Stam inequality (also known...
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06/24/2018