Pedro Abdalla

collaborators

2 papers

math.FA2026

Stable Phase Retrieval for Spans of Independent Random Variables

Pedro Abdalla, Jaume de Dios Pont, João P. G. Ramos +1

We prove that, after $L^{2}$ normalization, stable phase retrieval holds over the $L^{2}$ -spans of independent real-valued centered random variables if and only if all but possibly one…

math.OC2024

Nonconvex landscapes for $Z_{2}$ 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 $Z_{2}$ , that is, recovering $z_1, \dots, z_n \in \…

Stable Phase Retrieval for Spans of Independent Random Variables

Nonconvex landscapes for Z2​ synchronization and graph clustering are benign near exact recovery thresholds

Nonconvex landscapes for $Z_{2}$ synchronization and graph clustering are benign near exact recovery thresholds