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20232026
most citedPseudo-differential integral autoencoder network for inverse PDE operators

1 citations · 2 across the 7 of their papers we have counts for

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5 papers · 1 filter

math.NA2026

Data Completion for Electrical Impedance Tomography by Conditional Diffusion Models

Ke Chen, Haizhao Yang, Chugang Yi

Data scarcity is a fundamental barrier in Electrical Impedance Tomography (EIT), as undersampled Dirichlet-to-Neumann (DtN) measurements can substantially degrade conductivity reco…

math.NA2025

Error analysis for learning the time-stepping operator of evolutionary PDEs

Ke Chen, Meenakshi Krishnan, Haizhao Yang

Deep neural networks (DNNs) have recently emerged as effective tools for approximating solution operators of partial differential equations (PDEs) including evolutionary problems.…

math.NA2025

Neural Correction Operator: A Reliable and Fast Approach for Electrical Impedance Tomography

Amit Bhat, Ke Chen, Chunmei Wang

Electrical Impedance Tomography (EIT) is a non-invasive medical imaging method that reconstructs electrical conductivity mediums from boundary voltage-current measurements, but its…

math.NA2023★ 1 cited

Pseudo-differential integral autoencoder network for inverse PDE operators

Ke Chen, Jasen Lai, Chunmei Wang

Partial differential equations (PDEs) play a foundational role in modeling physical phenomena. This study addresses the challenging task of determining variable coefficients within…

math.NA2023★ 1 cited

Let data talk: data-regularized operator learning theory for inverse problems

Ke Chen, Chunmei Wang, Haizhao Yang

Regularization plays a pivotal role in integrating prior information into inverse problems. While many deep learning methods have been proposed to solve inverse problems, determini…