activity
20192021
most citedConstruct Deep Neural Networks Based on Direct Sampling Methods for Solving Electrical Impedance Tomography

3 citations · 4 across the 3 of their papers we have counts for

collaborators

6 papers

math.NA2021

Learn an index operator by CNN for solving diffusive optical tomography: a deep direct sampling method

Jiahua Jiang, Yi Li, Ruchi Guo

In this work, we investigate the diffusive optical tomography (DOT) problem in the case that limited boundary measurements are available. Motivated by the direct sampling method (D…

math.NA2021

Low-CP-rank Tensor Completion via Practical Regularization

Jiahua Jiang, Fatoumata Sanogo, Carmeliza Navasca

Dimension reduction techniques are often used when the high-dimensional tensor has relatively low intrinsic rank compared to the ambient dimension of the tensor. The CANDECOMP/PARA…

math.NA20203 cited

Construct Deep Neural Networks Based on Direct Sampling Methods for Solving Electrical Impedance Tomography

Ruchi Guo, Jiahua Jiang

This work investigates the electrical impedance tomography (EIT) problem when only limited boundary measurements are available, which is known to be challenging due to the extreme…

math.NA20201 cited

Hybrid Projection Methods with Recycling for Inverse Problems

Julianne Chung, Eric de Sturler, Jiahua Jiang

Iterative hybrid projection methods have proven to be very effective for solving large linear inverse problems due to their inherent regularizing properties as well as the added fl…

math.NA2020

Hybrid Projection Methods for Large-scale Inverse Problems with Mixed Gaussian Priors

Taewon Cho, Julianne Chung, Jiahua Jiang

When solving ill-posed inverse problems, a good choice of the prior is critical for the computation of a reasonable solution. A common approach is to include a Gaussian prior, whic…

math.NA2019

Adaptive greedy algorithms based on parameter-domain decomposition and reconstruction for the reduced basis method

Jiahua Jiang, Yanlai Chen

The reduced basis method (RBM) empowers repeated and rapid evaluation of parametrized partial differential equations through an offline-online decomposition, a.k.a. a learning-exec…