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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 2023Show all

6 papers · 1 filter

cs.LG2023

Neural Network Approximation for Pessimistic Offline Reinforcement Learning

Di Wu, Yuling Jiao, Li Shen +2

Deep reinforcement learning (RL) has shown remarkable success in specific offline decision-making scenarios, yet its theoretical guarantees are still under development. Existing wo…

stat.ME2023

Sampling via Föllmer Flow

Zhao Ding, Yuling Jiao, Xiliang Lu +2

We introduce a novel unit-time ordinary differential equation (ODE) flow called the preconditioned Föllmer flow, which efficiently transforms a Gaussian measure into a desired targ…

quant-ph2023★ 2 cited

Non-asymptotic Approximation Error Bounds of Parameterized Quantum Circuits

Zhan Yu, Qiuhao Chen, Yuling Jiao +4

Parameterized quantum circuits (PQCs) have emerged as a promising approach for quantum neural networks. However, understanding their expressive power in accomplishing machine learn…

math.NA2023★ 1 cited

Current density impedance imaging with PINNs

Chenguang Duan, Yuling Jiao, Xiliang Lu +1

In this paper, we introduce CDII-PINNs, a computationally efficient method for solving CDII using PINNs in the framework of Tikhonov regularization. This method constructs a physic…

math.NA2023

Deep Neural Network Approximation of Composition Functions: with application to PINNs

Chenguang Duan, Yuling Jiao, Xiliang Lu +2

In this paper, we focus on approximating a natural class of functions that are compositions of smooth functions. Unlike the low-dimensional support assumption on the covariate, we…

cs.LG2023★ 34 cited

GAS: A Gaussian Mixture Distribution-Based Adaptive Sampling Method for PINNs

Yuling Jiao, Di Li, Xiliang Lu +2

With the recent study of deep learning in scientific computation, the Physics-Informed Neural Networks (PINNs) method has drawn widespread attention for solving Partial Differentia…