Roberto Cavoretto

Publication Activity (10 Years)

Years Active: 2009-2024
Publications (10 Years): 44

Top Topics

Interpolation Algorithm

Gaussian Process Regression

Image Registration

Top Venues

Appl. Math. Comput.

J. Comput. Appl. Math.

J. Sci. Comput.

Publications

Amir Noorizadegan, Roberto Cavoretto, Der-Liang Young, Chuin-Shan Chen
Stable Weight Updating: A Key to Reliable PDE Solutions Using Deep Learning. CoRR (2024)
Amir Noorizadegan, C.-S. Chen, Roberto Cavoretto, Alessandra De Rossi
Efficient truncated randomized SVD for mesh-free kernel methods. Comput. Math. Appl. 164 (2024)
Mandana Soleimani, Mohsen Esmaeilbeigi, Roberto Cavoretto, Alessandra De Rossi
Analyzing the effects of various isotropic and anisotropic kernels on critical heat flux prediction using Gaussian process regression. Eng. Appl. Artif. Intell. 133 (2024)
Roberto Cavoretto, Alessandra De Rossi, Francesco Dell'Accio, Filomena Di Tommaso, Najoua Siar, Alvise Sommariva, Marco Vianello
Numerical cubature on scattered data by adaptive interpolation. J. Comput. Appl. Math. 444 (2024)
G. Garmanjani, Mohsen Esmaeilbeigi, Roberto Cavoretto
Adaptive residual refinement in an RBF finite difference scheme for 2D time-dependent problems. Comput. Appl. Math. 43 (1) (2024)
Roberto Cavoretto, Alessandra De Rossi, Sandro Lancellotti
Bayesian approach for radial kernel parameter tuning. J. Comput. Appl. Math. 441 (2024)
Roberto Cavoretto, Francesco Dell'Accio, Alessandra De Rossi, Alvise Sommariva, Marco Vianello
Nonsingularity of unsymmetric Kansa matrices: random collocation by MultiQuadrics and Inverse MultiQuadrics. CoRR (2024)
Roberto Cavoretto, Alessandra De Rossi, Sandro Lancellotti, Federico Romaniello
Parameter tuning in the radial kernel-based partition of unity method by Bayesian optimization. J. Comput. Appl. Math. 451 (2024)
Amir Noorizadegan, Ahmed Naji, Tsung-Lin Lee, Roberto Cavoretto, Der-Liang Young
Bending analysis of quasicrystal plates using adaptive radial basis function method. J. Comput. Appl. Math. 450 (2024)
Roberto Cavoretto, Alessandra De Rossi, Sandro Lancellotti, Federico Romaniello
Node-bound communities for partition of unity interpolation on graphs. Appl. Math. Comput. 467 (2024)
Roberto Cavoretto, Alessandra De Rossi, Sandro Lancellotti, Federico Romaniello
A Bayesian Approach for Simultaneously Radial Kernel Parameter Tuning in the Partition of Unity Method. CoRR (2023)
Roberto Cavoretto, Francesco Dell'Accio, A. De Rossi, F. Di Tommaso, Najoua Siar, Alvise Sommariva, Marco Vianello
Numerical cubature on scattered data by adaptive interpolation. CoRR (2023)
Roberto Cavoretto, Alessandra De Rossi, Sandro Lancellotti
Bayesian Approach for Radial Kernel Parameter Tuning. CoRR (2023)
Roberto Cavoretto, Alessandra De Rossi, Sandro Lancellotti, Federico Romaniello
Node-Binded Communities for Interpolation on Graphs. CoRR (2023)
Roberto Cavoretto, Alessandra De Rossi
An adaptive residual sub-sampling algorithm for kernel interpolation based on maximum likelihood estimations. J. Comput. Appl. Math. 418 (2023)
Roberto Cavoretto, Alessandra De Rossi, Emma Perracchione
Learning with Partition of Unity-based Kriging Estimators. Appl. Math. Comput. 448 (2023)
Roberto Cavoretto, Alessandra De Rossi, Sandro Lancellotti, Federico Romaniello
Node-Bound Communities for Partition of Unity Interpolation on Graphs. CoRR (2023)
Roberto Cavoretto, Alessandra De Rossi, Sandro Lancellotti, Federico Romaniello
Parameter Tuning in the Radial Kernel-Based Partition of Unity Method by Bayesian Optimization. CoRR (2023)
Roberto Cavoretto, Alessandra De Rossi
An adaptive residual sub-sampling algorithm for kernel interpolation based on maximum likelihood estimations. CoRR (2022)
Roberto Cavoretto
Adaptive LOOCV-based kernel methods for solving time-dependent BVPs. CoRR (2022)
Roberto Cavoretto, Alessandra De Rossi, Alvise Sommariva, Marco Vianello
RBFCUB: A numerical package for near-optimal meshless cubature on general polygons. Appl. Math. Lett. 125 (2022)
Roberto Cavoretto
Adaptive LOOCV-based kernel methods for solving time-dependent BVPs. Appl. Math. Comput. 429 (2022)
Roberto Cavoretto
Adaptive Radial Basis Function Partition of Unity Interpolation: A Bivariate Algorithm for Unstructured Data. J. Sci. Comput. 87 (2) (2021)
Roberto Cavoretto, Alessandra De Rossi, Marat S. Mukhametzhanov, Yaroslav D. Sergeyev
On the search of the shape parameter in radial basis functions using univariate global optimization methods. J. Glob. Optim. 79 (2) (2021)
Roberto Cavoretto, Alessandra De Rossi
Adaptive procedures for meshfree RBF unsymmetric and symmetric collocation methods. Appl. Math. Comput. 382 (2020)
Roberto Cavoretto, Alessandra De Rossi
An adaptive LOOCV-based refinement scheme for RBF collocation methods over irregular domains. Appl. Math. Lett. 103 (2020)
Roberto Cavoretto, Alessandra De Rossi, Francesco Dell'Accio, Filomena Di Tommaso
An Efficient Trivariate Algorithm for Tetrahedral Shepard Interpolation. J. Sci. Comput. 82 (3) (2020)
Roberto Cavoretto, Alessandra De Rossi
Error indicators and refinement strategies for solving Poisson problems through a RBF partition of unity collocation scheme. Appl. Math. Comput. 369 (2020)
Roberto Cavoretto, Alessandra De Rossi
A two-stage adaptive scheme based on RBF collocation for solving elliptic PDEs. Comput. Math. Appl. 79 (11) (2020)
Roberto Cavoretto, Alessandra De Rossi, Wolfgang Erb
Partition of Unity Methods for Signal Processing on Graphs. CoRR (2020)
Roberto Cavoretto, Alessandra De Rossi
Adaptive Refinement Techniques for RBF-PU Collocation. LSSC (2019)
Roberto Cavoretto, Alessandra De Rossi
An Adaptive Refinement Scheme for Radial Basis Function Collocation. NUMTA(1) (2019)
Roberto Cavoretto, Alessandra De Rossi, Francesco Dell'Accio, Filomena Di Tommaso
A 3D Efficient Procedure for Shepard Interpolants on Tetrahedra. NUMTA(1) (2019)
Roberto Cavoretto, Alessandra De Rossi
An Adaptive LOOCV-Based Algorithm for Solving Elliptic PDEs via RBF Collocation. LSSC (2019)
Roberto Cavoretto, Alessandra De Rossi
Adaptive meshless refinement schemes for RBF-PUM collocation. Appl. Math. Lett. 90 (2019)
Roberto Cavoretto, Alessandra De Rossi, Francesco Dell'Accio, Filomena Di Tommaso
Fast computation of triangular Shepard interpolants. J. Comput. Appl. Math. 354 (2019)
Roberto Cavoretto, Alessandra De Rossi, Emma Perracchione
Optimal Selection of Local Approximants in RBF-PU Interpolation. J. Sci. Comput. 74 (1) (2018)
Roberto Cavoretto, Teseo Schneider, Patrick Zulian
OpenCL Based Parallel Algorithm for RBF-PUM Interpolation. J. Sci. Comput. 74 (1) (2018)
Roberto Cavoretto, Alessandra De Rossi, Hanli Qiao
Topology analysis of global and local RBF transformations for image registration. Math. Comput. Simul. 147 (2018)
Giampietro Allasia, Roberto Cavoretto, Alessandra De Rossi
Hermite-Birkhoff interpolation on scattered data on the sphere and other manifolds. Appl. Math. Comput. 318 (2018)
G. Garmanjani, Roberto Cavoretto, Mohsen Esmaeilbeigi
A RBF partition of unity collocation method based on finite difference for initial-boundary value problems. Comput. Math. Appl. 75 (11) (2018)
Chiara Bosica, Roberto Cavoretto, Alessandra De Rossi, Hanli Qiao
On the topology preservation of Gneiting's functions in image registration. Signal Image Video Process. 11 (5) (2017)
Roberto Cavoretto, Alessandra De Rossi, Emma Perracchione
Efficient computation of partition of unity interpolants through a block-based searching technique. Comput. Math. Appl. 71 (12) (2016)
Roberto Cavoretto, Alessandra De Rossi, Emma Perracchione, Ezio Venturino
Robust Approximation Algorithms for the Detection of Attraction Basins in Dynamical Systems. J. Sci. Comput. 68 (1) (2016)
Roberto Cavoretto, Alessandra De Rossi, Emma Perracchione, Ezio Venturino
Reliable approximation of separatrix manifolds in competition models with safety niches. Int. J. Comput. Math. 92 (9) (2015)
Roberto Cavoretto, Alessandra De Rossi
A Trivariate Interpolation Algorithm Using a Cube-Partition Searching Procedure. SIAM J. Sci. Comput. 37 (4) (2015)
Roberto Cavoretto, Alessandra De Rossi, Emma Perracchione
Partition of unity interpolation on multivariate convex domains. Int. J. Model. Simul. Sci. Comput. 6 (4) (2015)
Roberto Cavoretto, Gregory E. Fasshauer, Michael J. McCourt
An introduction to the Hilbert-Schmidt SVD using iterated Brownian bridge kernels. Numer. Algorithms 68 (2) (2015)
Claudio De Lazzari, Bernhard Quatember, Wolfgang Recheis, Martin Mayr, Stefanos Demertzis, Giampietro Allasia, Alessandra De Rossi, Roberto Cavoretto, Ezio Venturino, Igino Genuini
Lung assist devices influence cardio-energetic parameters: Numerical simulation study. EMBC (2015)
Roberto Cavoretto, Alessandra De Rossi
A meshless interpolation algorithm using a cell-based searching procedure. Comput. Math. Appl. 67 (5) (2014)
Giampietro Allasia, Roberto Cavoretto, Alessandra De Rossi
Local interpolation schemes for landmark-based image registration: A comparison. Math. Comput. Simul. 106 (2014)
Roberto Cavoretto, Alessandra De Rossi, Hanli Qiao, Bernhard Quatember, Wolfgang Recheis, Martin Mayr
Computing Topology Preservation of RBF Transformations for Landmark-Based Image Registration. CoRR (2014)
Roberto Cavoretto, Alessandra De Rossi, Hanli Qiao, Bernhard Quatember, Wolfgang Recheis, Martin Mayr
Computing Topology Preservation of RBF Transformations for Landmark-Based Image Registration. Curves and Surfaces (2014)
Giampietro Allasia, Roberto Cavoretto, Alessandra De Rossi
Numerical integration on multivariate scattered data by Lobachevsky splines. Int. J. Comput. Math. 90 (9) (2013)
Roberto Cavoretto, Alessandra De Rossi
Spherical interpolation using the partition of unity method: An efficient and flexible algorithm. Appl. Math. Lett. 25 (10) (2012)
Roberto Cavoretto, Alessandra De Rossi, Marco Donatelli, Stefano Serra Capizzano
Spectral analysis and preconditioning techniques for radial basis function collocation matrices. Numer. Linear Algebra Appl. 19 (1) (2012)
Giampietro Allasia, Renata Besenghi, Roberto Cavoretto, Alessandra De Rossi
Scattered and track data interpolation using an efficient strip searching procedure. Appl. Math. Comput. 217 (12) (2011)
Bernhard Quatember, Martin Mayr, Wolfgang Recheis, Stefanos Demertzis, Giampietro Allasia, Alessandra De Rossi, Roberto Cavoretto, Ezio Venturino
Development of an Accurate Method for Motion Analyses of the Heart Wall Based on Medical Imagery. EUROCAST (2) (2011)
Roberto Cavoretto, Alessandra De Rossi
Fast and accurate interpolation of large scattered data sets on the sphere. J. Comput. Appl. Math. 234 (5) (2010)
Bernhard Quatember, Martin Mayr, Wolfgang Recheis, Stefanos Demertzis, Giampietro Allasia, Alessandra De Rossi, Roberto Cavoretto, Ezio Venturino
Geometric modeling and motion analysis of the epicardial surface of the heart. Math. Comput. Simul. 81 (3) (2010)
Giampietro Allasia, Renata Besenghi, Roberto Cavoretto
Adaptive detection and approximation of unknown surface discontinuities from scattered data. Simul. Model. Pract. Theory 17 (6) (2009)