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Nonconvex phase synchronization
N Boumal - SIAM Journal on Optimization, 2016 - SIAM
We estimate n phases (angles) from noisy pairwise relative phase measurements. The task
is modeled as a nonconvex least-squares optimization problem. It was recently shown that …
is modeled as a nonconvex least-squares optimization problem. It was recently shown that …
Tightness of the maximum likelihood semidefinite relaxation for angular synchronization
Maximum likelihood estimation problems are, in general, intractable optimization problems.
As a result, it is common to approximate the maximum likelihood estimator (MLE) using …
As a result, it is common to approximate the maximum likelihood estimator (MLE) using …
Gnnrank: Learning global rankings from pairwise comparisons via directed graph neural networks
Recovering global rankings from pairwise comparisons has wide applications from time
synchronization to sports team ranking. Pairwise comparisons corresponding to matches in …
synchronization to sports team ranking. Pairwise comparisons corresponding to matches in …
Distributed dynamic self-triggered control for uncertain complex networks with Markov switching topologies and random time-varying delay
This paper studies the synchronization of complex networks with probabilistic interval delay
and Markov switching topologies by using a novel dynamic self-triggered control (DSTC) …
and Markov switching topologies by using a novel dynamic self-triggered control (DSTC) …
A physical model for efficient ranking in networks
We present a physically inspired model and an efficient algorithm to infer hierarchical
rankings of nodes in directed networks. It assigns real-valued ranks to nodes rather than …
rankings of nodes in directed networks. It assigns real-valued ranks to nodes rather than …
Loo** in the Human Collaborative and Explainable Bayesian Optimization
Like many optimizers, Bayesian optimization often falls short of gaining user trust due to
opacity. While attempts have been made to develop human-centric optimizers, they typically …
opacity. While attempts have been made to develop human-centric optimizers, they typically …
Rank optimality for the Burer--Monteiro factorization
I Waldspurger, A Waters - SIAM journal on Optimization, 2020 - SIAM
When solving large-scale semidefinite programs that admit a low-rank solution, an efficient
heuristic is the Burer--Monteiro factorization: instead of optimizing over the full matrix, one …
heuristic is the Burer--Monteiro factorization: instead of optimizing over the full matrix, one …
In search of relevant predictors for marine species distribution modelling using the MarineSPEED benchmark dataset
Aim Ideally, datasets for species distribution modelling (SDM) contain evenly sampled
records covering the entire distribution of the species, confirmed absences and auxiliary …
records covering the entire distribution of the species, confirmed absences and auxiliary …
Lead–lag detection and network clustering for multivariate time series with an application to the US equity market
In multivariate time series systems, it has been observed that certain groups of variables
partially lead the evolution of the system, while other variables follow this evolution with a …
partially lead the evolution of the system, while other variables follow this evolution with a …
On the estimation performance and convergence rate of the generalized power method for phase synchronization
An estimation problem of fundamental interest is that of phase (or angular) synchronization,
in which the goal is to recover a collection of phases (or angles) using noisy measurements …
in which the goal is to recover a collection of phases (or angles) using noisy measurements …