80 citations · 102 across the 6 of their papers we have counts for
6 papers
Geometry of bifurcation sets: Exploring the parameter space
Roberto Barrio, Santiago Ibáñez, Lucía Pérez
Inspecting a -dimensional parameter space by means of -dimensional slices, changes can be detected that are only determined by the geometry of the manifolds that compose…
Inertial nonconvex alternating minimizations for the image deblurring
Tao Sun, Roberto Barrio, Marcos Rodriguez +1
In image processing, Total Variation (TV) regularization models are commonly used to recover blurred images. One of the most efficient and popular methods to solve the convex TV pr…
Bregman Proximal Gradient Algorithm with Extrapolation for a class of Nonconvex Nonsmooth Minimization Problems
Xiaoya Zhang, Roberto Barrio, M. Angeles Martinez +2
In this paper, we consider an accelerated method for solving nonconvex and nonsmooth minimization problems. We propose a Bregman Proximal Gradient algorithm with extrapolation(BPGe…
Accurate Quotient-Difference algorithm: error analysis, improvements and applications
Peibing Du, Roberto Barrio, Hao Jiang +1
The compensated quotient-difference (Compqd) algorithm is proposed along with some applications. The main motivation is based on the fact that the standard quotient-difference (qd)…
Symbolic Toolkit for Chaos Explorations
Tingli Xing, Jeremy Wojcik, Roberto Barrio +1
New computational technique based on the symbolic description utilizing kneading invariants is used for explorations of parametric chaos in a two exemplary systems with the Lorenz…
Kneadings, Symbolic Dynamics and Painting Lorenz Chaos. A Tutorial
Roberto Barrio, Andrey Shilnikov, Leonid Shilnikov
A new computational technique based on the symbolic description utilizing kneading invariants is proposed and verified for explorations of dynamical and parametric chaos in a few e…