Výsledky vyhledávání - "Numerical solution to inverse problems in abstract spaces"

A rotation total variation regularization for full waveform inversion

Autoři: Faxuan Wu Qinglong He Jiangyan Zou a další

Zdroj: Journal of Inverse and Ill-posed Problems.

Témata: full waveform inversion, inverse problems, rotation TV regularization, Numerical solution to inverse problems in abstract spaces, CGOPT algorithm, acoustic wave equation

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8025007
https://doi.org/10.1515/jiip-2022-0067

Robustness and exploration of variational and machine learning approaches to inverse problems: An overview: Robustness and exploration of variational and machine learning approaches to inverse problems: an overview

Autoři: Alexander Auras Kanchana Vaishnavi Gandikota Hannah Droege a další

Zdroj: GAMM-Mitteilungen. 47

Témata: FOS: Computer and information sciences, Computer Science - Machine Learning, inverse problems, Computer Vision and Pattern Recognition (cs.CV), Image and Video Processing (eess.IV), Learning and adaptive systems in artificial intelligence, Computer Science - Computer Vision and Pattern Recognition, Numerical solution to inverse problems in abstract spaces, robustness, Numerical Analysis (math.NA), 02 engineering and technology, Electrical Engineering and Systems Science - Image and Video Processing, explorability, 01 natural sciences, Machine Learning (cs.LG), machine learning, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, Mathematics - Numerical Analysis, Image processing (compression, reconstruction, etc.) in information and communication theory, 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2402.12072
https://zbmath.org/7968740
https://doi.org/10.1002/gamm.202470003

Projection based summation-by-parts methods, embeddings and the pseudoinverse

Autoři: Pelle Olsson Gustav Eriksson Ken Mattsson

Zdroj: Journal of Computational Physics. 524:113689

Témata: high-order accuracy, Beräkningsmatematik, projection method, Numerical solution to inverse problems in abstract spaces, stability, High-order accuracy, Computational Mathematics, Finite difference methods, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Projection method, boundary treatment, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Stability, finite difference methods, Boundary treatment

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-546211

Solving the acousto-electric tomography by the adaptive Nesterov method of Kaczmarz type

Autoři: Kai Zhu Min Zhong

Zdroj: Inverse Problems. 41:035007

Témata: Biomedical imaging and signal processing, Numerical aspects of computer graphics, image analysis, and computational geometry, non-smooth penalty, iterative regularization, Numerical solution to inverse problems in abstract spaces, acousto-electric tomography

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7988277
https://doi.org/10.1088/1361-6420/adb3c4

Uncertainty quantification for DeepONets with ensemble Kalman inversion: Uncertainty quantification for DeepONet with ensemble Kalman inversion

Autoři: Andrew Pensoneault Xueyu Zhu

Zdroj: Journal of Computational Physics. 523:113670

Témata: FOS: Computer and information sciences, Computer Science - Machine Learning, uncertainty quantification, Computer Science - Artificial Intelligence, Numerical solution to inverse problems in abstract spaces, Machine Learning (stat.ML), Numerical Analysis (math.NA), Inference from stochastic processes and prediction, ensemble Kalman inversion, Machine Learning (cs.LG), operator learning, Artificial Intelligence (cs.AI), Statistics - Machine Learning, FOS: Mathematics, Mathematics - Numerical Analysis, Artificial neural networks and deep learning

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2403.03444
https://zbmath.org/7986892
https://doi.org/10.1016/j.jcp.2024.113670

Optimization methods in inverse problems and applications to science and engineering

Autoři: D. La Torre M. Ruiz Galán Herb Kunze

Zdroj: Optimization and Engineering. 22:2151-2158

Témata: Fractals, Inverse problems involving ordinary differential equations, 0211 other engineering and technologies, 0202 electrical engineering, electronic engineering, information engineering, Numerical solution to inverse problems in abstract spaces, 02 engineering and technology, Variational inequalities, Numerical solution of inverse problems involving ordinary differential equations, Numerical analysis

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/content/pdf/10.1007/s11081-021-09688-y.pdf
https://link.springer.com/content/pdf/10.1007/s11081-021-09688-y.pdf
https://link.springer.com/article/10.1007/s11081-021-09688-y

GrainGNN: A dynamic graph neural network for predicting 3D grain microstructure: GrainGNN: a dynamic graph neural network for predicting 3D grain microstructure

Autoři: Yigong Qin Stephen DeWitt Balasubramaniam Radhakrishnan a další

Zdroj: Journal of Computational Physics. 510:113061

Témata: FOS: Computer and information sciences, deep learning, graph neural network, Numerical solution to inverse problems in abstract spaces, 02 engineering and technology, grain microstructure evolution, phase field simulations, 01 natural sciences, Computational Engineering, Finance, and Science (cs.CE), Computer-aided design (modeling of curves and surfaces), 0103 physical sciences, Computer Science - Computational Engineering, Finance, and Science, 0210 nano-technology, additive manufacturing

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2401.03661

Parallel ensemble Kalman method with total variation regularization for large-scale field inversion

Autoři: Zhang, Xin-Lei Zhang, Lei He, Guowei

Zdroj: Journal of Computational Physics. 509:113059

Témata: Numerical optimization and variational techniques, machine learning, parallel implementation, field inversion, Numerical solution to inverse problems in abstract spaces, ensemble Kalman method, data assimilation, Probabilistic models, generic numerical methods in probability and statistics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8021020
https://doi.org/10.1016/j.jcp.2024.113059

Convergence of non-linear diagonal frame filtering for regularizing inverse problems

Autoři: Andrea Ebner Markus Haltmeier

Zdroj: Inverse Problems. 40:055009

Témata: Signal theory (characterization, reconstruction, filtering, etc.), Linear operators and ill-posed problems, regularization, Numerical solutions of ill-posed problems in abstract spaces, regularization, Tikhonov regularization, Hilbert space, singular value decomposition, linear inverse problem, Numerical solution to inverse problems in abstract spaces, General harmonic expansions, frames, Numerical Analysis (math.NA), 01 natural sciences, Bregman distance, diagonal frame decomposition, FOS: Mathematics, plug-and-play regularization, Mathematics - Numerical Analysis, 0101 mathematics, non-linear frame-based filtering

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2308.15666

Accelerating inverse inference of ensemble Kalman filter via reduced-order model trained using adaptive sparse observations

Autoři: Yuepeng Wang Jie Li Wenju Zhao a další

Zdroj: Journal of Computational Physics. 496:112600

Témata: reduced-order model (ROM), uncertainty quantification (UQ), Numerical solution to inverse problems in abstract spaces, data assimilation (DA), ensemble Kalman filter (EnKF), sparse observations

Popis souboru: application/xml

Basis-to-basis operator learning using function encoders

Autoři: Tyler Ingebrand Adam J. Thorpe Somdatta Goswami a další

Zdroj: Computer Methods in Applied Mechanics and Engineering. 435:117646

Témata: FOS: Computer and information sciences, operator learning, Computer Science - Machine Learning, function encoders, Learning and adaptive systems in artificial intelligence, PDE modeling, Numerical solution to inverse problems in abstract spaces, neural operators, Machine Learning (cs.LG)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2410.00171
https://zbmath.org/7996076
https://doi.org/10.1016/j.cma.2024.117646

Replica Exchange Preconditioned Crank-Nicolson Langevin Dynamic MCMC Method with Multi-Variance Strategy for Bayesian Inverse Problems: A replica exchange preconditioned Crank-Nicolson Langevin dynamic MCMC method with multi-variance strategy for Bayesian inverse problems

Autoři: Na Ou Zecheng Zhang Guang Lin

Zdroj: Journal of Computational Physics. 510:113067

Témata: Bayesian inverse problem, preconditioned Crank-Nicolson scheme, Numerical solution to inverse problems in abstract spaces, Numerical analysis or methods applied to Markov chains, Langevin diffusion, replica exchange Monte Carlo

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8021033
https://doi.org/10.1016/j.jcp.2024.113067

The fractional Laplacian based image inpainting

Autoři: Lian, Xiangkai Fu, Qiang Su, Weijie a další

Zdroj: Inverse Problems and Imaging. 0:0-0

Témata: Numerical optimization and variational techniques, Variational methods applied to PDEs, variational methods, Numerical solution to inverse problems in abstract spaces, fractional Laplacian, Image processing (compression, reconstruction, etc.) in information and communication theory, PDE constrained optimization (numerical aspects), image inpainting, Fractional partial differential equations

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7815410
https://doi.org/10.3934/ipi.2023035

Adaptive Wavelet Galerkin Methods for Linear Inverse Problems: Adaptive wavelet Galerkin methods for linear inverse problems

Autoři: Cohen, Albert Hoffmann, Marc Reiß, Markus

Zdroj: SIAM Journal on Numerical Analysis. 42:1479-1501

Témata: nonlinear methods, ddc:330, 330 Wirtschaft, Numerical solution to inverse problems in abstract spaces, Numerical methods for integral equations, wavelets, 01 natural sciences, Galerkin methods, numerical example, Numerical solutions to equations with linear operators, Besov spaces, Numerical methods for wavelets, statistical inverse problems, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), 0101 mathematics, minimax estimation, singular integral equation, Equations and inequalities involving linear operators, with vector unknowns

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://edoc.hu-berlin.de/bitstream/18452/4148/1/50.pdf
https://zbmath.org/2139932
https://doi.org/10.1137/s0036142902411793
http://hdl.handle.net/10419/65296
https://www.econstor.eu/bitstream/10419/65296/1/726723541.pdf

Direct and inverse computation of Jacobi matrices of infinite iterated function systems

Autoři: MANTICA, GIORGIO DOMENICO PIO

Zdroj: Numerische Mathematik. 125:705-731

Témata: almost periodicity, numerical examples, algorithm, Jacobi (tridiagonal) operators (matrices) and generalizations, Other matrix algorithms, infinite iterated function system, inverse/approximation problem, FOS: Physical sciences, Numerical solution to inverse problems in abstract spaces, Numerical Analysis (math.NA), Mathematical Physics (math-ph), 42C05 47B36 65D32 65J22 81Q10, Numerical quadrature and cubature formulas, 01 natural sciences, Mathematics - Spectral Theory, Jacobi matrix, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, singularity of the measures, logarithmic capacity, Spectral Theory (math.SP), Mathematical Physics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/1106.4945
http://arxiv.org/abs/1106.4945
https://arxiv.org/abs/1106.4945
https://ui.adsabs.harvard.edu/abs/2011arXiv1106.4945M/abstract
https://arxiv.org/pdf/1106.4945v1
https://dblp.uni-trier.de/db/journals/nm/nm125.html#Mantica13
https://core.ac.uk/display/53559751
https://doi.org/10.1007/s00211-013-0551-7
https://rd.springer.com/article/10.1007/s00211-013-0551-7
https://link.springer.com/article/10.1007/s00211-013-0551-7
https://link.springer.com/article/10.1007/s00211-013-0551-7/fulltext.html

On an inverse problem: Recovery of non-smooth solutions to backward heat equation: On an inverse problem: recovery of non-smooth solutions to backward heat equation

Autoři: Oscar Orellana Prabir Daripa Fabien Ternat

Zdroj: Applied Mathematical Modelling. 36:4003-4019

Témata: non-smooth solutions, heat equation, quasi-reversibility techniques, inverse problem, Numerical solution to inverse problems in abstract spaces, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, illposed problem, 0101 mathematics, finite difference methods, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/6114239
https://doi.org/10.1016/j.apm.2011.11.020
http://math.tamu.edu/~prabir.daripa/pubs/reprints/amm-2012.pdf
https://www.sciencedirect.com/science/article/pii/S0307904X11007086

A sparsity-constrained sampling method with applications to communications and inverse scattering

Autoři: I. Harris J.D. Rezac

Zdroj: Journal of Computational Physics. 451:110890

Témata: Inverse problems for PDEs, inverse problems, Hydro- and aero-acoustics, Numerical solution to inverse problems in abstract spaces, acoustic scattering, 02 engineering and technology, 01 natural sciences, beamforming, array processing, Mathematics - Analysis of PDEs, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, Inverse problems (including inverse scattering) in optics and electromagnetic theory, 0101 mathematics, Analysis of PDEs (math.AP)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/2010.08032
http://arxiv.org/abs/2010.08032
https://zbmath.org/7517173
https://doi.org/10.1016/j.jcp.2021.110890

Discretized Tikhonov–Phillips regularization for a naturally linearized parameter identification problem: Discretized Tikhonov-Phillips regularization for a naturally linearized parameter identification problem

Autoři: Hui Cao

Zdroj: Journal of Complexity. 21:864-877

Témata: Adaptive strategy, Statistics and Probability, Numerical Analysis, Algebra and Number Theory, Control and Optimization, Parameter identification, Numerical methods for inverse problems for boundary value problems involving PDEs, diffusion equation, Applied Mathematics, Tikhonov–Phillips regularization, Numerical solution to inverse problems in abstract spaces, Tikhonov-Phillips regularization, 01 natural sciences, parameter identification, Boundary value problems for second-order elliptic equations, Natural linearization, linear ill-posed operator equation, Ill-posed problems for PDEs, natural linearization, adaptive strategy, 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2240098
https://doi.org/10.1016/j.jco.2005.04.003
https://www.sciencedirect.com/science/article/pii/S0885064X05000324
https://core.ac.uk/display/82777301
https://dblp.uni-trier.de/db/journals/jc/jc21.html#Cao05

Preconditioning Landweber iteration in Hilbert scales

Autoři: Herbert Egger Andreas Neubauer

Zdroj: Numerische Mathematik. 101:643-662

Témata: Landweber iteration, Numerical solutions of ill-posed problems in abstract spaces, regularization, Linear operators and ill-posed problems, regularization, preconditioning, Numerical solutions to equations with nonlinear operators, Numerical solutions to equations with linear operators, Nonlinear ill-posed problems, Numerical solution to inverse problems in abstract spaces, numerical results, 0101 mathematics, ill-posed inverse problems, Hilbert scales, 01 natural sciences

Popis souboru: application/xml

On Efficient Computation of the Optimization Problem Arising in the Inverse Modeling of Non-Stationary Multiphase Multicomponent Flow Through Porous Media: On efficient computation of the optimization problem arising in the inverse modeling of non-stationary multiphase multicomponent flow through porous media

Autoři: Volker Schulz Subhendu Bikash Hazra

Zdroj: Computational Optimization and Applications. 31:69-85

Témata: Inverse problems in optimal control, Control/observation systems governed by partial differential equations, Flows in porous media, filtration, seepage, multiphase flow, reduced Gauss-Newton technique, 0207 environmental engineering, multiple shooting, Numerical solution to inverse problems in abstract spaces, numerical parameter identification, 02 engineering and technology, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2193581
https://doi.org/10.1007/s10589-005-1052-0
https://link.springer.com/article/10.1007/s10589-005-1052-0
https://link.springer.com/10.1007/s10589-005-1052-0
https://dblp.uni-trier.de/db/journals/coap/coap31.html#HazraS05