63 citations · 308 across the 48 of their papers we have counts for
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cs.LG2021★ 2 cited
A Unified and Constructive Framework for the Universality of Neural Networks
Tan Bui-Thanh
One of the reasons why many neural networks are capable of replicating complicated tasks or functions is their universal property. Though the past few decades have seen tremendous…
math.NA2021
Bridging and Improving Theoretical and Computational Electric Impedance Tomography via Data Completion
Tan Bui-Thanh, Qin Li, Leonardo Zepeda-Núñez
In computational PDE-based inverse problems, a finite amount of data is collected to infer unknown parameters in the PDE. In order to obtain accurate inferences, the collected data…
stat.ML2021★ 1 cited
TNet: A Model-Constrained Tikhonov Network Approach for Inverse Problems
Hai V. Nguyen, Tan Bui-Thanh
Deep Learning (DL), in particular deep neural networks (DNN), by default is purely data-driven and in general does not require physics. This is the strength of DL but also one of i…