3 citations · 3 across the 4 of their papers we have counts for
5 papers
Stable Phase Retrieval for Spans of Independent Random Variables
Pedro Abdalla, Jaume de Dios Pont, João P. G. Ramos +1
We prove that, after normalization, stable phase retrieval holds over the -spans of independent real-valued centered random variables if and only if all but possibly one…
Nonconvex landscapes for synchronization and graph clustering are benign near exact recovery thresholds
Andrew D. McRae, Pedro Abdalla, Afonso S. Bandeira +1
We study the optimization landscape of a smooth nonconvex program arising from synchronization over the two-element group , that is, recovering $z_1, \dots, z_n \in \…
Expander graphs are globally synchronizing
Pedro Abdalla, Afonso S. Bandeira, Martin Kassabov +3
The Kuramoto model is fundamental to the study of synchronization. It consists of a collection of oscillators with interactions given by a network, which we identify respectively w…
Guarantees for Spontaneous Synchronization on Random Geometric Graphs
Pedro Abdalla, Afonso S. Bandeira, Clara Invernizzi
The Kuramoto model is a classical mathematical model in the field of non-linear dynamical systems that describes the evolution of coupled oscillators in a network that may reach a…
Community Detection with a Subsampled Semidefinite Program
Pedro Abdalla, Afonso S. Bandeira
Semidefinite programming is an important tool to tackle several problems in data science and signal processing, including clustering and community detection. However, semidefinite…