10 citations · 21 across the 7 of their papers we have counts for
7 papers
Levenberg-Marquardt method with Singular Scaling and applications
Everton Boos, Douglas S. Goncalves, Fermin S. V. Bazan
Inspired by certain regularization techniques for linear inverse problems, in this work we investigate the convergence properties of the Levenberg-Marquardt method using singular s…
A two-phase rank-based algorithm for low-rank matrix completion
Tacildo de Souza Araújo, Douglas S. Gonçalves, Cristiano Torezzan
Matrix completion aims to recover an unknown low-rank matrix from a small subset of its entries. In many applications, the rank of the unknown target matrix is known in advance. In…
First-order methods for the convex hull membership problem
Rafaela Filippozzi, Douglas S. Gonçalves, Luiz-Rafael Santos
The convex hull membership problem (CHMP) consists in deciding whether a certain point belongs to the convex hull of a finite set of points, a decision problem with important appli…
Solving the One-dimensional Distance Geometry Problem by Optical Computing
S. B. Hengeveld, N. Rubiano da Silva, D. S. Gonçalves +2
Distance geometry problem belongs to a class of hard problems in classical computation that can be understood in terms of a set of inputs processed according to a given transformat…
A new algorithm for the DMDGP subclass of Distance Geometry Problems
Douglas S. Goncalves, Carlile Lavor, Leo Liberti +1
The fundamental inverse problem in distance geometry is the one of finding positions from inter-point distances. The Discretizable Molecular Distance Geometry Problem (DMDGP) is a…
Global convergence of diluted iterations in maximum-likelihood quantum tomography
D. S. Gonçalves, M. A. Gomes-Ruggiero, C. Lavor
In this paper we present an inexact stepsize selection for the Diluted RρR algorithm, used to obtain the maximum likelihood estimate to the density matrix in quantum state tomograp…
Local solutions of Maximum Likelihood Estimation in Quantum State Tomography
Douglas S. Gonçalves, Márcia A. Gomes-Ruggiero, Carlile Lavor +2
Maximum likelihood estimation is one of the most used methods in quantum state tomography, where the aim is to reconstruct the density matrix of a physical system from measurement…