Explanipedia

Hybrid Boundary Physics-Informed Neural Networks for Solving Navier-Stokes Equations with Complex Boundary Open

Chuyu Zhou, Ian Li, Chenxi Lan, Rui Du, Guoguo Xin , et al. · 2025

Physics-informed neural networks (PINN) have achieved notable success in solving partial differential equations (PDE), yet solving the Navier-Stokes equations (NSE) with complex boundary conditions remains a challenging task. In this paper…

Inversion of soil heavy metal content in surface coal mine area based on fractional-order derivative and reindeer cyclone optimization algorithm support vector regression Open

Yuanlin Chen, Hong Wang, Longshan Yang, Yichen Wang, Rui Du · 2025

Physics-Informed Neural Networks with Complementary Soft and Hard Constraints for Solving Complex Boundary Navier-Stokes Equations Open

Chuyu Zhou, Tianyu Li, Chenxi Lan, Rui Du, Guoguo Xin , et al. · 2024

Soft- and hard-constrained Physics Informed Neural Networks (PINNs) have achieved great success in solving partial differential equations (PDEs). However, these methods still face great challenges when solving the Navier-Stokes equations (…

A Third-order Implicit-Explicit Runge-Kutta Method for Landau-Lifshitz Equation with Arbitrary Damping Parameters Open

Yan Gui, Rui Du, Cheng Wang · 2024

A third-order accurate implicit-explicit Runge-Kutta time marching numerical scheme is proposed and implemented for the Landau-Lifshitz-Gilbert equation, which models magnetization dynamics in ferromagnetic materials, with arbitrary dampin…

A simple and fast finite difference method for the integral fractional Laplacian of variable order Open

Zhaopeng Hao, Siyuan Shi, Zhongqiang Zhang, Rui Du · 2024

For the fractional Laplacian of variable order, an efficient and accurate numerical evaluation in multi-dimension is a challenge for the nature of a singular integral. We propose a simple and easy-to-implement finite difference scheme for …

A Label-Free Hybrid Iterative Numerical Transferable Solver for Partial Differential Equations Open

Xinyi Wang, Jingrun Chen null, Rui Du · 2024

Reading Recognition Method of Mechanical Water Meter Based on Convolutional Neural Network in Natural Scenes Open

Jianqi Li, Jinfei Shen, Keheng Nie, Rui Du, Jiang Zhu , et al. · 2024

To satisfy the demand for real-time and high-precision recognition of mechanical water meter readings in natural scenes, a reading recognition method for mechanical water meters based on you only look once version 4 (YOLOv4) is proposed in…

Benchmarking Robustness and Generalization in Multi-Agent Systems: A Case Study on Neural MMO Open

Yangkun Chen, Joseph Suárez, Junjie Zhang, Chenghui Yu, Bo Wu , et al. · 2023

We present the results of the second Neural MMO challenge, hosted at IJCAI 2022, which received 1600+ submissions. This competition targets robustness and generalization in multi-agent systems: participants train teams of agents to complet…

Artificial Intelligence Assisted Energy Optimization and Control Method for Microgrids Open

Dong-Liang Fan Dong-Liang Fan, Jian Wang Dong-Liang Fan, Qian-Han Zhang Jian Wang, Jinping Zhang, Rui Du · 2023

As the future direction of power development, microgrids are particularly important for rational and efficient energy management. This article establishes an optimization model with multiple uncertainties as parameters for the microgrid en…

Reference-free Amplitude-based WiFi Passive Sensing Open

Fabiola Colone, Francesca Filippini, Marco Di Seglio, Paul V. Brennan, Rui Du , et al. · 2023

The parasitic exploitation of WiFi signals for passive sensing purposes is a topic that is attracting considerable interest in the scientific community. In an attempt at meeting the requirements for sensor compactness, easy deployment, and…

Reactive Power Optimization Model for Distribution Networks Based on the Second-Order Cone and Interval Optimization Open

Minsheng Yang, Jianqi Li, Rui Du, Jianying Li, Jian Sun , et al. · 2022

Traditional reactive power optimization mainly considers the constraints of active management elements and ignores the randomness and volatility of distributed energy sources, which cannot meet the actual demand. Therefore, this paper esta…

A Survey on Fundamental Limits of Integrated Sensing and Communication Open

An Liu, Zhe Huang, Min Li, Yubo Wan, Wenrui Li , et al. · 2022

The integrated sensing and communication (ISAC), in which the sensing and communication share the same frequency band and hardware, has emerged as a key technology in future wireless systems due to two main reasons. First, many important a…

A Gauss-Seidel projection method with the minimal number of updates for the stray field in micromagnetics simulations Open

Panchi Li, Zetao Ma, Rui Du, Jingrun Chen · 2022

Magnetization dynamics in magnetic materials is often modeled by the Landau-Lifshitz equation, which is solved numerically in general. In micromagnetics simulations, the computational cost relies heavily on the time-marching scheme and the…

A Phase and RSSI-Based Method for Indoor Localization Using Passive RFID System With Mobile Platform Open

Zheng Liu, Zhe Fu, Tongyun Li, I.H. White, Richard V. Penty , et al. · 2022

In this paper, a phase and RSSI-based method for indoor localization of UHF RFID tags is proposed and demonstrated. The proposed method exploits the received phase and RSSI profile combined with the location of the moving antenna to locate…

A second-order semi-implicit method for the inertial Landau-Lifshitz-Gilbert equation Open

Panchi Li, Lei Yang, Jin Lan, Rui Du, Jingrun Chen · 2021

Recent theoretical and experimental advances show that the inertia of magnetization emerges at sub-picoseconds and contributes to the ultrafast magnetization dynamics which cannot be captured intrinsically by the LLG equation. Therefore, a…

Understanding Loss Landscapes of Neural Network Models in Solving Partial Differential Equations. Open

Keke Wu, Rui Du, Jingrun Chen, Xiang Zhou · 2021

Solving partial differential equations (PDEs) by parametrizing its solution by neural networks (NNs) has been popular in the past a few years. However, different types of loss functions can be proposed for the same PDE. For the Poisson equ…

Roughness Index for Loss Landscapes of Neural Network Models of Partial Differential Equations Open

Keke Wu, Xiangru Jian, Rui Du, Jingrun Chen, Xiang Zhou · 2021

Loss landscape is a useful tool to characterize and compare neural network models. The main challenge for analysis of loss landscape for the deep neural networks is that they are generally highly non-convex in very high dimensional space. …

A Gauss-Seidel projection method with the minimal number of updates for stray field in micromagnetic simulations Open

Panchi Li, Zetao Ma, Rui Du, Jingrun Chen · 2021

Magnetization dynamics in magnetic materials is often modeled by the Landau-Lifshitz equation, which is solved numerically in general. In micromagnetic simulations, the computational cost relies heavily on the time-marching scheme and the …

Enforcing exact boundary and initial conditions in the deep mixed residual method Open

Liyao Lyu, Keke Wu, Rui Du, Jingrun Chen · 2020

In theory, boundary and initial conditions are important for the wellposedness of partial differential equations (PDEs). Numerically, these conditions can be enforced exactly in classical numerical methods, such as finite difference method…

Lattice-Boltzmann Simulations of the Convection-Diffusion Equation with Different Reactive Boundary Conditions Open

Rui Du, Jincheng Wang, Dongke Sun · 2019

We have tested the accuracy and stability of lattice-Boltzmann (LB) simulations of the convection-diffusion equation in a two-dimensional channel flow with reactive-flux boundary conditions. We compared several different implementations of…

Quasi-Monte Carlo sampling for machine-learning partial differential equations Open

Jingrun Chen, Rui Du, Panchi Li, Liyao Lyu · 2019

Solving partial differential equations in high dimensions by deep neural network has brought significant attentions in recent years. In many scenarios, the loss function is defined as an integral over a high-dimensional domain. Monte-Carlo…

Two improved Gauss-Seidel projection methods for Landau-Lifshitz-Gilbert equation Open

Panchi Li, Changjian Xie, Rui Du, Jingrun Chen, Xiaoping Wang · 2019

A lattice Boltzmann model for two-phase flow in porous media Open

Zhenhua Chai, Hong Liang, Rui Du, Baochang Shi · 2018

In this paper, a lattice Boltzmann (LB) model with double distribution functions is proposed for two-phase flow in porous media where one distribution function is used for pressure governed by the Poisson equation, and the other is applied…

Low-THz Transmission Through Water-Containing Contaminants on Antenna Radome Open

Fatemeh Norouzian, Rui Du, E. G. Hoare, P. Gardner, Costas Constantinou , et al. · 2017

In this paper, signal reduction due to the presence of water content formed on a radome has been studied at low-THz frequencies. The effect of obscurants on signal reduction has been characterized by measuring the ratio of reflected signal…

Multi-User Detection for Sporadic IDMA Transmission Based on Compressed Sensing Open

Bo Li, Rui Du, Wenjing Kang, Gongliang Liu · 2017

The Internet of Things (IoT) is placing new demands on existing communication systems. The limited orthogonal resources do not meet the demands of massive connectivity of future IoT systems that require efficient multiple access. Interleav…

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