Publications

Additive energies on discrete cubes

We prove that for $d\geq 0$ and $k\geq 2$, for any subset $A$ of a discrete cube ${0,1}^d$, the $k-$higher energy of $A$ (i.e., the …
Jaume de Dios, Rachel Greenfeld, Paata Ivanisvili, José Madrid
arxiv:2112.09352
Additive energies on discrete cubes

On classical inequalities for autocorrelations and autoconvolutions

In this paper we study an autocorrelation inequality proposed by Barnard and Steinerberger. The study of these problems is motivated by …
Jaume de Dios, José Madrid
arxiv:2106.13873
On classical inequalities for autocorrelations and autoconvolutions

Decoupling for fractal subsets of the parabola

We consider decoupling for a fractal subset of the parabola. We reduce studying l2Lp decoupling for a fractal subset on the parabola …
Alan Chang, Jaume de Dios, Rachel Greenfeld, Asgar Jamneshan, Zane Kun Li, José Madrid
arxiv:2012.11458
Decoupling for fractal subsets of the parabola

On Sparsity in Overparametrised Shallow ReLU Networks

The analysis of neural network training beyond their linearization regime remains an outstanding open question, even in the simplest …
Joan Bruna, Jaume de Dios
arxiv:2006.10225
On Sparsity in Overparametrised Shallow ReLU Networks

A geometric lemma for complex polynomial curves with applications in Fourier restriction theory

The aim of this paper is to prove a uniform Fourier restriction estimate for certain 2−dimensional surfaces in R2n. These surfaces are …
Jaume de Dios
arxiv:2003.14140
A geometric lemma for complex polynomial curves with applications in Fourier restriction theory

Role Detection in Bicycle-Sharing Networks Using Multilayer Stochastic Block Models

Urban spatial networks are complex systems with interdependent roles of neighborhoods and methods of transportation between them. In …
Jane Carlen, Jaume de Dios, Cassidy Mentus, Shyr-Shea Chang, Stephanie Wang, Mason A. Porter
arxiv:1908.09440
Role Detection in Bicycle-Sharing Networks Using Multilayer Stochastic Block Models