Jaume de Dios Pont
Jaume de Dios Pont
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Type
Preprint
Date
2024
2023
2022
2021
2020
2019
Predicting quantum channels over general product distributions
We investigate the problem of predicting the output behavior of unknown quantum channels. Given query access to an n-qubit channel E …
Sitan Chen
,
Jaume de Dios
,
Jun-Ting Hsieh
,
Hsin-Yuan Huang
,
Jane Lange
,
Jerry Li
arxiv:arXiv:2409.03684
Periodicity and decidability of translational tilings by rational polygonal sets
The periodic tiling conjecture asserts that if a region Σ⊂Rd tiles Rd by translations then it admits at least one fully periodic …
Jaume de Dios
,
José Madrid
,
Jan Grebík,
,
Rachel Greenfeld
arxiv:arXiv:2408.02151
Query lower bounds for log-concave sampling
Log-concave sampling has witnessed remarkable algorithmic advances in recent years, but the corresponding problem of proving lower …
Sinho Chewi
,
Jaume de Dios Pont
,
Jerry Li
,
Chen Lu
,
Shyam Narayanan
arxiv:arXiv:2304.02599
Uniform Fourier Restriction Estimate for Simple Curves of Bounded Frequency
In this paper we prove a uniform Fourier restriction estimate over the class of simple curves where the last coordinate function can be …
Jaume de Dios
,
Helge Jørgen Samuelsen
arxiv:arXiv:2303.11693
A new proof of the description of the convex hull of space curves with totally positive torsion
We give new proofs of the description convex hulls of space curves $\gamma : [a,b] \mapsto \mathbb{R}^{d}$ having totally positive …
Jaume de Dios
,
Paata Ivanisvili
,
José Madrid
arxiv:arXiv:2201.12932
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:arXiv:2112.09352
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:arXiv:2106.13873
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:arXiv:2012.11458
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
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 R
^{2n}
. These surfaces are …
Jaume de Dios
arxiv:arXiv:2003.14140
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:arXiv:1908.09440
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