Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Statistical thresholds for Tensor PCA

- Aukosh Jagannath, Patrick Lopatto, Léo Miolane
- Mathematics
- 8 December 2018

We study the statistical limits of testing and estimation for a rank one deformation of a Gaussian random tensor. We compute the sharp thresholds for hypothesis testing and estimation by maximum… Expand

9 2- PDF

Universality of the least singular value for sparse random matrices

- Ziliang Che, Patrick Lopatto
- Mathematics
- 2 November 2017

We study the distribution of the least singular values associated to an ensemble of sparse random matrices. Our motivating example is the ensemble of $N\times N$ matrices whose entries are chosen… Expand

10 2- PDF

Schatten-class Truncated Toeplitz Operators

- Patrick Lopatto, R. Rochberg
- Mathematics
- 7 October 2014

We investigate truncated Toeplitz operators belonging to the Schatten ideals. We completely characterize such operators when they have an analytic symbol or belong to the ideal of Hilbert-Schmidt… Expand

6 1- PDF

An Improved Lower Bound for Sparse Reconstruction from Subsampled Hadamard Matrices

- Jaroslaw Blasiok, Patrick Lopatto, Kyle Luh, J. Marcinek, S. Rao
- Mathematics, Computer Science
- IEEE 60th Annual Symposium on Foundations of…
- 28 March 2019

TLDR

5- PDF

Tail bounds for gaps between eigenvalues of sparse random matrices

- Patrick Lopatto, Kyle Luh
- Mathematics
- 17 January 2019

We prove the first eigenvalue repulsion bound for sparse random matrices. As a consequence, we show that these matrices have simple spectrum, improving the range of sparsity and error probability… Expand

9- PDF

Sparse Reconstruction from Hadamard Matrices: A Lower Bound

- Jaroslaw Blasiok, Patrick Lopatto, Kyle Luh, J. Marcinek
- Computer Science, Mathematics
- ArXiv
- 28 March 2019

TLDR

4- PDF

GOE Statistics for Levy Matrices

- A. Aggarwal, Patrick Lopatto, H. Yau
- Mathematics, Physics
- 19 June 2018

In this paper we establish eigenvector delocalization and bulk universality for L\'{e}vy matrices, which are real, symmetric, $N \times N$ random matrices $\textbf{H}$ whose upper triangular entries… Expand

13- PDF

Formulas for odd zeta values and powers of .

- M. Chamberland, Patrick Lopatto
- Mathematics
- 2011

Plouffe conjectured fast converging series formulas for π and ζ(2n+1) for small values of n. We find the general pattern for all integer values of n and offer a proof.

The Connectivity of Wavelets

- Patrick Lopatto
- Computer Science
- 2012

TLDR

ARTU Report Fall 2014: Truncated Toeplitz Operators

- Patrick Lopatto
- Mathematics
- 2014

I spent this summer doing research on truncated Toeplitz operators under the supervision of Professor Rochberg. Classical Toeplitz operators are defined on the Hardy space H2(T). If f ∈ L∞(T) and Mf… Expand

...

1

2

...