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ORCIDRoberto Cavoretto
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Journal Articles
- 2024
[j42]Roberto Cavoretto
, Alessandra De Rossi, Sandro Lancellotti, Federico Romaniello:
Node-bound communities for partition of unity interpolation on graphs. Appl. Math. Comput. 467: 128502 (2024)- [j41]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): 39 (2024) - [j40]Amir Noorizadegan, Chuin-Shan Chen, Roberto Cavoretto, Alessandra De Rossi:
Efficient truncated randomized SVD for mesh-free kernel methods. Comput. Math. Appl. 164: 12-20 (2024) - [j39]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: 108351 (2024) - [j38]Roberto Cavoretto, Alessandra De Rossi, Sandro Lancellotti:
Bayesian approach for radial kernel parameter tuning. J. Comput. Appl. Math. 441: 115716 (2024) - [j37]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: 115793 (2024) - [j36]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: 115990 (2024) - [j35]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: 116108 (2024) - 2023
- [j34]Roberto Cavoretto, Alessandra De Rossi, Emma Perracchione:
Learning with Partition of Unity-based Kriging Estimators. Appl. Math. Comput. 448: 127938 (2023) - [j33]Roberto Cavoretto, Alessandra De Rossi:
An adaptive residual sub-sampling algorithm for kernel interpolation based on maximum likelihood estimations. J. Comput. Appl. Math. 418: 114658 (2023) - 2022
- [j32]Roberto Cavoretto:
Adaptive LOOCV-based kernel methods for solving time-dependent BVPs. Appl. Math. Comput. 429: 127228 (2022) - [j31]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: 107704 (2022) - 2021
- [j30]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): 305-327 (2021) - [j29]Roberto Cavoretto:
Adaptive Radial Basis Function Partition of Unity Interpolation: A Bivariate Algorithm for Unstructured Data. J. Sci. Comput. 87(2): 41 (2021) - 2020
- [j28]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) - [j27]Roberto Cavoretto, Alessandra De Rossi:
Adaptive procedures for meshfree RBF unsymmetric and symmetric collocation methods. Appl. Math. Comput. 382: 125354 (2020) - [j26]Roberto Cavoretto, Alessandra De Rossi:
An adaptive LOOCV-based refinement scheme for RBF collocation methods over irregular domains. Appl. Math. Lett. 103: 106178 (2020) - [j25]Roberto Cavoretto, Alessandra De Rossi:
A two-stage adaptive scheme based on RBF collocation for solving elliptic PDEs. Comput. Math. Appl. 79(11): 3206-3222 (2020) - [j24]Roberto Cavoretto, Alessandra De Rossi, Francesco Dell'Accio, Filomena Di Tommaso:
An Efficient Trivariate Algorithm for Tetrahedral Shepard Interpolation. J. Sci. Comput. 82(3): 57 (2020) - 2019
- [j23]Roberto Cavoretto, Alessandra De Rossi:
Adaptive meshless refinement schemes for RBF-PUM collocation. Appl. Math. Lett. 90: 131-138 (2019) - [j22]Roberto Cavoretto, Alessandra De Rossi, Francesco Dell'Accio, Filomena Di Tommaso:
Fast computation of triangular Shepard interpolants. J. Comput. Appl. Math. 354: 457-470 (2019) - 2018
- [j21]Giampietro Allasia, Roberto Cavoretto, Alessandra De Rossi:
Hermite-Birkhoff interpolation on scattered data on the sphere and other manifolds. Appl. Math. Comput. 318: 35-50 (2018) - [j20]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): 4066-4090 (2018) - [j19]Roberto Cavoretto, Alessandra De Rossi, Emma Perracchione:
Optimal Selection of Local Approximants in RBF-PU Interpolation. J. Sci. Comput. 74(1): 1-22 (2018) - [j18]Roberto Cavoretto, Teseo Schneider, Patrick Zulian:
OpenCL Based Parallel Algorithm for RBF-PUM Interpolation. J. Sci. Comput. 74(1): 267-289 (2018) - [j17]Roberto Cavoretto, Alessandra De Rossi, Hanli Qiao:
Topology analysis of global and local RBF transformations for image registration. Math. Comput. Simul. 147: 52-72 (2018) - 2017
- [j16]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): 953-960 (2017) - 2016
- [j15]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): 2568-2584 (2016) - [j14]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): 395-415 (2016) - 2015
- [j13]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): 1826-1837 (2015) - [j12]Roberto Cavoretto, Alessandra De Rossi, Emma Perracchione:
Partition of unity interpolation on multivariate convex domains. Int. J. Model. Simul. Sci. Comput. 6(4): 1550034:1-1550034:17 (2015) - [j11]Roberto Cavoretto, Gregory E. Fasshauer, Michael J. McCourt:
An introduction to the Hilbert-Schmidt SVD using iterated Brownian bridge kernels. Numer. Algorithms 68(2): 393-422 (2015) - [j10]Roberto Cavoretto, Alessandra De Rossi:
A Trivariate Interpolation Algorithm Using a Cube-Partition Searching Procedure. SIAM J. Sci. Comput. 37(4) (2015) - 2014
- [j9]Roberto Cavoretto, Alessandra De Rossi:
A meshless interpolation algorithm using a cell-based searching procedure. Comput. Math. Appl. 67(5): 1024-1038 (2014) - [j8]Giampietro Allasia, Roberto Cavoretto, Alessandra De Rossi:
Local interpolation schemes for landmark-based image registration: A comparison. Math. Comput. Simul. 106: 1-25 (2014) - 2013
- [j7]Giampietro Allasia, Roberto Cavoretto, Alessandra De Rossi:
Numerical integration on multivariate scattered data by Lobachevsky splines. Int. J. Comput. Math. 90(9): 2003-2018 (2013) - 2012
- [j6]Roberto Cavoretto, Alessandra De Rossi:
Spherical interpolation using the partition of unity method: An efficient and flexible algorithm. Appl. Math. Lett. 25(10): 1251-1256 (2012) - [j5]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): 31-52 (2012) - 2011
- [j4]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): 5949-5966 (2011) - 2010
- [j3]Roberto Cavoretto, Alessandra De Rossi:
Fast and accurate interpolation of large scattered data sets on the sphere. J. Comput. Appl. Math. 234(5): 1505-1521 (2010) - [j2]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): 608-622 (2010) - 2009
- [j1]Giampietro Allasia, Renata Besenghi, Roberto Cavoretto:
Adaptive detection and approximation of unknown surface discontinuities from scattered data. Simul. Model. Pract. Theory 17(6): 1059-1070 (2009)
Conference and Workshop Papers
- 2019
- [c7]Roberto Cavoretto, Alessandra De Rossi:
An Adaptive LOOCV-Based Algorithm for Solving Elliptic PDEs via RBF Collocation. LSSC 2019: 76-83 - [c6]Roberto Cavoretto, Alessandra De Rossi:
Adaptive Refinement Techniques for RBF-PU Collocation. LSSC 2019: 84-91 - [c5]Roberto Cavoretto, Alessandra De Rossi:
An Adaptive Refinement Scheme for Radial Basis Function Collocation. NUMTA(1) 2019: 19-26 - [c4]Roberto Cavoretto, Alessandra De Rossi, Francesco Dell'Accio, Filomena Di Tommaso:
A 3D Efficient Procedure for Shepard Interpolants on Tetrahedra. NUMTA(1) 2019: 27-34 - 2015
- [c3]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: 4515-4519 - 2014
- [c2]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: 96-108 - 2011
- [c1]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: 248-255
Informal and Other Publications
- 2024
- [i12]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 abs/2403.18017 (2024) - [i11]Amir Noorizadegan, Roberto Cavoretto, Der-Liang Young, Chuin-Shan Chen:
Stable Weight Updating: A Key to Reliable PDE Solutions Using Deep Learning. CoRR abs/2407.07375 (2024) - 2023
- [i10]Roberto Cavoretto, Francesco Dell'Accio, Alessandra De Rossi, Filomena Di Tommaso, Najoua Siar, Alvise Sommariva, Marco Vianello:
Numerical cubature on scattered data by adaptive interpolation. CoRR abs/2307.07203 (2023) - [i9]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 abs/2311.04210 (2023) - [i8]Roberto Cavoretto, Alessandra De Rossi, Sandro Lancellotti, Federico Romaniello:
Parameter Tuning in the Radial Kernel-Based Partition of Unity Method by Bayesian Optimization. CoRR abs/2311.04289 (2023) - [i7]Roberto Cavoretto, Alessandra De Rossi, Sandro Lancellotti, Federico Romaniello:
Node-Binded Communities for Interpolation on Graphs. CoRR abs/2311.04299 (2023) - [i6]Roberto Cavoretto, Alessandra De Rossi, Sandro Lancellotti:
Bayesian Approach for Radial Kernel Parameter Tuning. CoRR abs/2311.04311 (2023) - [i5]Roberto Cavoretto, Alessandra De Rossi, Sandro Lancellotti, Federico Romaniello:
Node-Bound Communities for Partition of Unity Interpolation on Graphs. CoRR abs/2311.04935 (2023) - 2022
- [i4]Roberto Cavoretto, Alessandra De Rossi:
An adaptive residual sub-sampling algorithm for kernel interpolation based on maximum likelihood estimations. CoRR abs/2203.14089 (2022) - [i3]Roberto Cavoretto:
Adaptive LOOCV-based kernel methods for solving time-dependent BVPs. CoRR abs/2203.14091 (2022) - 2020
- [i2]Roberto Cavoretto, Alessandra De Rossi, Wolfgang Erb:
Partition of Unity Methods for Signal Processing on Graphs. CoRR abs/2012.10636 (2020) - 2014
- [i1]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 abs/1410.3426 (2014)
Coauthor Index
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