Bangti Jin

CoRR, 2024

2023

Electrical impedance tomography with deep Calderón method.

[BibT_eX]

[DOI]

J. Comput. Phys., November, 2023

Solving Elliptic Problems with Singular Sources Using Singularity Splitting Deep Ritz Method.

[BibT_eX]

[DOI]

Tianhao Hu

SIAM J. Sci. Comput., August, 2023

Inverse Problems for Subdiffusion from Observation at an Unknown Terminal Time.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., August, 2023

On the Convergence of Stochastic Gradient Descent for Linear Inverse Problems in Banach Spaces.

[BibT_eX]

[DOI]

Zeljko Kereta

SIAM J. Imaging Sci., June, 2023

An Investigation of Stochastic Variance Reduction Algorithms for Relative Difference Penalized 3D PET Image Reconstruction.

[BibT_eX]

[DOI]

IEEE Trans. Medical Imaging, 2023

Learning Coarse Propagators in Parareal Algorithm.

[BibT_eX]

[DOI]

Qingle Lin

CoRR, 2023

Solving Inverse Obstacle Scattering Problem with Latent Surface Representations.

[BibT_eX]

[DOI]

Junqing Chen

Haibo Liu

CoRR, 2023

Numerical Recovery of a Time-Dependent Potential in Subdiffusion.

[BibT_eX]

[DOI]

Kwancheol Shin

CoRR, 2023

Electrical Impedance Tomography: A Fair Comparative Study on Deep Learning and Analytic-based Approaches.

[BibT_eX]

[DOI]

CoRR, 2023

Solving Poisson Problems in Polygonal Domains with Singularity Enriched Physics Informed Neural Networks.

[BibT_eX]

[DOI]

Tianhao Hu

CoRR, 2023

Steerable Conditional Diffusion for Out-of-Distribution Adaptation in Imaging Inverse Problems.

[BibT_eX]

[DOI]

CoRR, 2023

Score-Based Generative Models for PET Image Reconstruction.

[BibT_eX]

[DOI]

CoRR, 2023

Solving Elliptic Optimal Control Problems using Physics Informed Neural Networks.

[BibT_eX]

[DOI]

CoRR, 2023

On the Approximation of Bi-Lipschitz Maps by Invertible Neural Networks.

[BibT_eX]

[DOI]

José Miguel Hernández-Lobato

CoRR, 2023

An Adaptive Phase-Field Method for Structural Topology Optimization.

[BibT_eX]

[DOI]

CoRR, 2023

Recovery of Multiple Parameters in Subdiffusion from One Lateral Boundary Measurement.

[BibT_eX]

[DOI]

CoRR, 2023

Hybrid Neural-Network FEM Approximation of Diffusion Coefficient in Elliptic and Parabolic Problems.

[BibT_eX]

[DOI]

CoRR, 2023

Fast and Painless Image Reconstruction in Deep Image Prior Subspaces.

[BibT_eX]

[DOI]

Riccardo Barbano

Javier Antorán

Johannes Leuschner

Zeljko Kereta

CoRR, 2023

SVD-DIP: Overcoming the Overfitting Problem in DIP-based CT Reconstruction.

[BibT_eX]

[DOI]

Proceedings of the Medical Imaging with Deep Learning, 2023

2022

Imaging Anisotropic Conductivities from Current Densities.

[BibT_eX]

[DOI]

Huan Liu

SIAM J. Imaging Sci., June, 2022

Recovery of the Order of Derivation for Fractional Diffusion Equations in an Unknown Medium.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., June, 2022

An Educated Warm Start for Deep Image Prior-Based Micro CT Reconstruction.

[BibT_eX]

[DOI]

IEEE Trans. Computational Imaging, 2022

Recovery of a Distributed Order Fractional Derivative in an Unknown Medium.

[BibT_eX]

[DOI]

José Miguel Hernández-Lobato

CoRR, 2022

Bayesian Experimental Design for Computed Tomography with the Linearised Deep Image Prior.

[BibT_eX]

[DOI]

CoRR, 2022

Imaging Conductivity from Current Density Magnitude using Neural Networks.

[BibT_eX]

[DOI]

Xiyao Li

José Miguel Hernández-Lobato

CoRR, 2022

Convergence Rate Analysis of Galerkin Approximation of Inverse Potential Problem.

[BibT_eX]

[DOI]

CoRR, 2022

A Probabilistic Deep Image Prior for Computational Tomography.

[BibT_eX]

[DOI]

Javier Antorán

Riccardo Barbano

Johannes Leuschner

CoRR, 2022

2021

Error Analysis of Finite Element Approximations of Diffusion Coefficient Identification for Elliptic and Parabolic Problems.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2021

Reconstruction of a Space-Time-Dependent Source in Subdiffusion Models via a Perturbation Approach.

[BibT_eX]

[DOI]

SIAM J. Math. Anal., 2021

Numerical Estimation of a Diffusion Coefficient in Subdiffusion.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2021

On the Saturation Phenomenon of Stochastic Gradient Descent for Linear Inverse Problems.

[BibT_eX]

[DOI]

SIAM/ASA J. Uncertain. Quantification, 2021

Is Deep Image Prior in Need of a Good Education?

[BibT_eX]

[DOI]

CoRR, 2021

Recovery of a Space-Time Dependent Diffusion Coefficient in Subdiffusion: Stability, Approximation and Error Analysis.

[BibT_eX]

[DOI]

CoRR, 2021

An Analysis of Stochastic Variance Reduced Gradient for Linear Inverse Problems.

[BibT_eX]

[DOI]

CoRR, 2021

Unsupervised Knowledge-Transfer for Learned Image Reconstruction.

[BibT_eX]

[DOI]

CoRR, 2021

Stochastic EM methods with Variance Reduction for Penalised PET Reconstructions.

[BibT_eX]

[DOI]

CoRR, 2021

Recovering Multiple Fractional Orders in Time-Fractional Diffusion in an Unknown Medium.

[BibT_eX]

[DOI]

CoRR, 2021

Recovering the Potential in One-Dimensional Time-Fractional Diffusion with Unknown Initial Condition and Source.

[BibT_eX]

[DOI]

CoRR, 2021

Conditional Variational Autoencoder for Learned Image Reconstruction.

[BibT_eX]

[DOI]

Chen Zhang

Riccardo Barbano

Comput., 2021

2020

On the Convergence of Stochastic Gradient Descent for Nonlinear Ill-Posed Problems.

[BibT_eX]

[DOI]

SIAM J. Optim., 2020

Incomplete iterative solution of subdiffusion.

[BibT_eX]

[DOI]

Numerische Mathematik, 2020

Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping.

[BibT_eX]

[DOI]

Numerische Mathematik, 2020

Quantifying Sources of Uncertainty in Deep Learning-Based Image Reconstruction.

[BibT_eX]

[DOI]

CoRR, 2020

An Inverse Potential Problem for Subdiffusion: Stability and Reconstruction.

[BibT_eX]

[DOI]

CoRR, 2020

On the Discrepancy Principle for Stochastic Gradient Descent.

[BibT_eX]

[DOI]

Tim Jahn

CoRR, 2020

L1 data fitting for robust reconstruction in magnetic particle imaging: quantitative evaluation on Open MPI dataset.

[BibT_eX]

[DOI]

Tobias Kluth

CoRR, 2020

Quantifying Model Uncertainty in Inverse Problems via Bayesian Deep Gradient Descent.

[BibT_eX]

[DOI]

Proceedings of the 25th International Conference on Pattern Recognition, 2020

2019

Subdiffusion with a time-dependent coefficient: Analysis and numerical solution.

[BibT_eX]

[DOI]

Math. Comput., 2019

A Parameter Choice Rule for Tikhonov Regularization Based on Predictive Risk.

[BibT_eX]

[DOI]

Federico Benvenuto

CoRR, 2019

Regularized Linear Inversion with Randomized Singular Value Decomposition.

[BibT_eX]

[DOI]

CoRR, 2019

Wasserstein Gradient Flow Formulation of the Time-Fractional Fokker-Planck Equation.

[BibT_eX]

[DOI]

Manh Hong Duong

CoRR, 2019

Incomplete Iterative Solution of the Subdiffusion Problem.

[BibT_eX]

[DOI]

CoRR, 2019

2018

Numerical Analysis of Nonlinear Subdiffusion Equations.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2018

Discrete maximal regularity of time-stepping schemes for fractional evolution equations.

[BibT_eX]

[DOI]

Numerische Mathematik, 2018

Space-Time Petrov-Galerkin FEM for Fractional Diffusion Problems.

[BibT_eX]

[DOI]

Comput. Methods Appl. Math., 2018

2017

Group Sparse Recovery via the ℓ0(ℓ2) Penalty: Theory and Algorithm.

[BibT_eX]

[DOI]

Yuling Jiao

IEEE Trans. Signal Process., 2017

Iterative Soft/Hard Thresholding With Homotopy Continuation for Sparse Recovery.

[BibT_eX]

[DOI]

Yuling Jiao

IEEE Signal Process. Lett., 2017

Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2017

On nonnegativity preservation in finite element methods for subdiffusion equations.

[BibT_eX]

[DOI]

Math. Comput., 2017

Preface: Numerical Analysis of Fractional Differential Equations.

[BibT_eX]

[DOI]

Petr N. Vabishchevich

Comput. Methods Appl. Math., 2017

2016

Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2016

A Petrov-Galerkin Finite Element Method for Fractional Convection-Diffusion Equations.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2016

The Linearized Inverse Problem in Multifrequency Electrical Impedance Tomography.

[BibT_eX]

[DOI]

SIAM J. Imaging Sci., 2016

A simple finite element method for boundary value problems with a Riemann-Liouville derivative.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2016

2015

An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid.

[BibT_eX]

[DOI]

Numerische Mathematik, 2015

Variational formulation of problems involving fractional order differential operators.

[BibT_eX]

[DOI]

Math. Comput., 2015

The Galerkin finite element method for a multi-term time-fractional diffusion equation.

[BibT_eX]

[DOI]

J. Comput. Phys., 2015

A variational Bayesian approach for inverse problems with skew-t error distributions.

[BibT_eX]

[DOI]

J. Comput. Phys., 2015

On the sectorial property of the Caputo derivative operator.

[BibT_eX]

[DOI]

Tomoya Takeuchi

Appl. Math. Lett., 2015

Numerical identification of a sparse Robin coefficient.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2015

2014

Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2014

Expectation propagation for nonlinear inverse problems - with an application to electrical impedance tomography.

[BibT_eX]

[DOI]

Matthias Gehre

J. Comput. Phys., 2014

A Primal Dual Active Set with Continuation Algorithm for the \ell^0-Regularized Optimization Problem.

[BibT_eX]

[DOI]

Yuling Jiao

CoRR, 2014

2013

Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2013

A two-stage method for inverse medium scattering.

[BibT_eX]

[DOI]

J. Comput. Phys., 2013

Gradient-based estimation of Manning's friction coefficient from noisy data.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2013

2012

A Semismooth Newton Method for Nonlinear Parameter Identification Problems with Impulsive Noise.

[BibT_eX]

[DOI]

Christian Clason

SIAM J. Imaging Sci., 2012

Numerical identification of a Robin coefficient in parabolic problems.

[BibT_eX]

[DOI]

Math. Comput., 2012

An inverse Sturm-Liouville problem with a fractional derivative.

[BibT_eX]

[DOI]

William Rundell

J. Comput. Phys., 2012

A variational Bayesian method to inverse problems with impulsive noise.

[BibT_eX]

[DOI]

J. Comput. Phys., 2012

Sparsity reconstruction in electrical impedance tomography: An experimental evaluation.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2012

Galerkin FEM for Fractional Order Parabolic Equations with Initial Data in H - s , 0 ≤ s ≤ 1.

[BibT_eX]

[DOI]

Proceedings of the Numerical Analysis and Its Applications - 5th International Conference, 2012

2011

A Regularization Parameter for Nonsmooth Tikhonov Regularization.

[BibT_eX]

[DOI]

Tomoya Takeuchi

SIAM J. Sci. Comput., 2011

Multi-Parameter Tikhonov Regularization

[BibT_eX]

[DOI]

Tomoya Takeuchi

CoRR, 2011

2010

A Duality-Based Splitting Method for l1-TV Image Restoration with Automatic Regularization Parameter Choice.

[BibT_eX]

[DOI]

Christian Clason

Karl Kunisch

SIAM J. Sci. Comput., 2010

Heuristic Parameter-Choice Rules for Convex Variational Regularization Based on Error Estimates.

[BibT_eX]

[DOI]

Dirk A. Lorenz

SIAM J. Numer. Anal., 2010

A Semismooth Newton Method for L1 Data Fitting with Automatic Choice of Regularization Parameters and Noise Calibration.

[BibT_eX]

[DOI]

Christian Clason

Karl Kunisch

SIAM J. Imaging Sci., 2010

Hierarchical Bayesian inference for Ill-posed problems via variational method.

[BibT_eX]

[DOI]

J. Comput. Phys., 2010

2009

Numerical Estimation of Piecewise Constant Robin Coefficient.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2009

2008

Inversion of Robin coefficient by a spectral stochastic finite element approach.

[BibT_eX]

[DOI]

J. Comput. Phys., 2008

2006

Boundary knot method based on geodesic distance for anisotropic problems.

[BibT_eX]

[DOI]