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20092025
most citedThe Galerkin Finite Element Method for A Multi-term Time-Fractional Diffusion equation

293 citations · 1.8k across the 110 of their papers we have counts for

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Showing 2021Show all

10 papers · 1 filter

eess.IV2021★ 20 cited

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

Riccardo Barbano, Johannes Leuschner, Maximilian Schmidt +4

Deep image prior (DIP) was recently introduced as an effective unsupervised approach for image restoration tasks. DIP represents the image to be recovered as the output of a deep c…

cs.CV2021★ 6 cited

Conditional Variational Autoencoder for Learned Image Reconstruction

Chen Zhang, Riccardo Barbano, Bangti Jin

Learned image reconstruction techniques using deep neural networks have recently gained popularity, and have delivered promising empirical results. However, most approaches focus o…

math.NA2021

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

Bangti Jin, Zhi Zhou

In this work, we study an inverse problem of recovering a space-time dependent diffusion coefficient in the subdiffusion model from the distributed observation, where the mathemati…

math.NA2021★ 6 cited

An Analysis of Stochastic Variance Reduced Gradient for Linear Inverse Problems

Bangti Jin, Zehui Zhou, Jun Zou

Stochastic variance reduced gradient (SVRG) is a popular variance reduction technique for accelerating stochastic gradient descent (SGD). We provide a first analysis of the method…

eess.IV2021★ 15 cited

Unsupervised Knowledge-Transfer for Learned Image Reconstruction

Riccardo Barbano, Zeljko Kereta, Andreas Hauptmann +2

Deep learning-based image reconstruction approaches have demonstrated impressive empirical performance in many imaging modalities. These approaches usually require a large amount o…

physics.med-ph2021

Stochastic EM methods with Variance Reduction for Penalised PET Reconstructions

Zeljko Kereta, Robert Twyman, Simon Arridge +2

Expectation-maximization (EM) is a popular and well-established method for image reconstruction in positron emission tomography (PET) but it often suffers from slow convergence. Or…

math.NA2021★ 1 cited

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

Bangti Jin, Yavar Kian

In this work, we investigate an inverse problem of recovering multiple orders in a time-fractional diffusion model from the data observed at one single point on the boundary. We pr…

math.AP2021★ 20 cited

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

Bangti Jin, Zhi Zhou

This paper is concerned with an inverse problem of recovering a potential term and fractional order in a one-dimensional subdiffusion problem, which involves a Djrbashian-Caputo fr…

math.NA2021★ 1 cited

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

Bangti Jin, Yavar Kian, Zhi Zhou

In this article we study inverse problems of recovering a space-time dependent source component from the lateral boundary observation in a subidffusion model. The mathematical mode…

math.AP2021★ 2 cited

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

Bangti Jin, Yavar Kian

In this work, we investigate the recovery of a parameter in a diffusion process given by the order of derivation in time for a class of diffusion type equations, including both cla…