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20132026
most citedA rate of convergence of Physics Informed Neural Networks for the linear second order elliptic PDEs

47 citations · 106 across the 22 of their papers we have counts for

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Showing 2024Show all

5 papers · 1 filter

math.NA2024

GraHTP: A Provable Newton-like Algorithm for Sparse Phase Retrieval

Licheng Dai, Xiliang Lu, Juntao You

This paper investigates the sparse phase retrieval problem, which aims to recover a sparse signal from a system of quadratic measurements. In this work, we propose a novel non-conv…

quant-ph2024

Quantum Compiling with Reinforcement Learning on a Superconducting Processor

Z. T. Wang, Qiuhao Chen, Yuxuan Du +16

To effectively implement quantum algorithms on noisy intermediate-scale quantum (NISQ) processors is a central task in modern quantum technology. NISQ processors feature tens to a…

stat.ML2024★ 5 cited

Accelerating Ill-conditioned Hankel Matrix Recovery via Structured Newton-like Descent

HanQin Cai, Longxiu Huang, Xiliang Lu +1

This paper studies the robust Hankel recovery problem, which simultaneously removes the sparse outliers and fulfills missing entries from the partial observation. We propose a nove…

math.NA2024★ 1 cited

Numerical Recovery of the Diffusion Coefficient in Diffusion Equations from Terminal Measurement

Bangti Jin, Xiliang Lu, Qimeng Quan +1

In this work, we investigate a numerical procedure for recovering a space-dependent diffusion coefficient in a (sub)diffusion model from the given terminal data, and provide a rigo…

math.NA2024

On the robustness of double-word addition algorithms

Yuanyuan Yang, XinYu Lyu, Sida He +3

We demonstrate that, even when there are moderate overlaps in the inputs of sloppy or accurate double-word addition algorithms in the QD library, these algorithms still guarantee e…