activity
20202026
most citedNSFnets (Navier-Stokes Flow nets): Physics-informed neural networks for the incompressible Navier-Stokes equations

1.2k citations · 2k across the 19 of their papers we have counts for

collaborators

23 papers

cs.RO2026

Trajectory-Level Mode Guidance for Controllable Diffusion-Based Multi-Robot Motion Planning

Tianyou Yu, Shengze Cai, Chao Xu

Motion planning often admits multiple feasible solutions, making multimodal generation valuable, particularly for flexible multi-robot coordination. Diffusion models naturally lear…

cs.LG2026

Learning Provable Neural Network Observer for Uncertain Dynamical Systems

Zhangyi Wang, Jiaxu Liu, Song Chen +3

In many safety-critical applications, control of uncertain dynamical systems relies on observers that estimate states and external disturbances. Neural network observers can improv…

cs.RO2026

Acoustic-driven millimetric helical robot: ultrasonic synergistic manipulation in confined fluidic environment

Hanlin Wang, Xin Wang, Xinwei Wei +4

Acoustic field-driven manipulation provides a non-contact and non-invasive strategy for controlling microscale and nanoscale objects, yet its extension to millimeter-scale robots w…

cs.LG2026

DART: Decoded Attention over Recurrent States for Efficient Long-Context Sequence Modeling

Yixiao Qian, Song Chen, Pengkai Wang +3

Modern language models are built primarily from Transformers, recurrent models, and their hybrid architectures. Transformers rely on token-level attention memories, while recurrent…

cs.LG2026

DSSMs: State Space Models with Explicit Memory via Delay Differential Equations

Yixiao Qian, Song Chen, Jiaxu Liu +2

State Space Models (SSMs) have emerged as a powerful paradigm for efficient long-sequence modeling, offering parallel training and fast linear-time recurrent inference. However, li…

physics.flu-dyn2026

Transformer-based Neural Operators for 3D Wind Field Prediction over Complex Mountainous Terrain

Yujia Zhang, Jiaxi Qi, Ruiyan Chen +5

Accurate prediction of three-dimensional (3D) wind fields over complex mountainous terrain is essential for renewable energy deployment and regional weather modeling. Traditional c…

physics.flu-dyn2026

Deep learning accelerated solutions of incompressible Navier-Stokes equations on non-uniform Cartesian grids

Heming Bai, Dong Zhang, Shengze Cai +1

In incompressible flow simulations, non-uniform grids efficiently capture localized flow features; however, their spatially varying resolutions severely exacerbate computational co…

cs.LG2026

Distributed physics-informed neural networks via domain decomposition for fast flow reconstruction

Yixiao Qian, Jiaxu Liu, Zewei Xia +3

Physics-Informed Neural Networks (PINNs) offer a powerful paradigm for flow reconstruction, seamlessly integrating sparse velocity measurements with the governing Navier-Stokes equ…

cs.CE2025

An Efficient Graph-Transformer Operator for Learning Physical Dynamics with Manifolds Embedding

Pengwei Liu, Xingyu Ren, Pengkai Wang +6

Accurate and efficient physical simulations are essential in science and engineering, yet traditional numerical solvers face significant challenges in computational cost when handl…

physics.flu-dyn2025

Lagrangian-Eulerian learning of flow field and trajectories with TrajectoryFlowNet

Jingdi Wan, Hongping Wang, Bo Liu +5

Predicting particle transport in complex flows is traditionally achieved by solving the Navier-Stokes equations. While various numerical and experimental methods exist, they typica…

math.OC2025

Accelerated Distributed Aggregative Optimization

Jiaxu Liu, Song Chen, Shengze Cai +2

This paper delves into the investigation of a distributed aggregative optimization problem within a network. In this scenario, each agent possesses its own local cost function, whi…

physics.flu-dyn2024

PiRD: Physics-informed Residual Diffusion for Flow Field Reconstruction

Siming Shan, Pengkai Wang, Song Chen +3

The use of machine learning in fluid dynamics is becoming more common to expedite the computation when solving forward and inverse problems of partial differential equations. Yet,…

math.OC2023★ 6 cited

Accelerated Distributed Aggregative Optimization

Jiaxu Liu, Song Chen, Shengze Cai +1

In this paper, we investigate a distributed aggregative optimization problem in a network, where each agent has its own local cost function which depends not only on the local stat…

math.OC2023

The Novel Adaptive Fractional Order Gradient Decent Algorithms Design via Robust Control

Jiaxu Liu, Song Chen, Shengze Cai +1

The vanilla fractional order gradient descent may oscillatively converge to a region around the global minimum instead of converging to the exact minimum point, or even diverge, in…

physics.flu-dyn2022★ 1 cited

GotFlow3D: Recurrent Graph Optimal Transport for Learning 3D Flow Motion in Particle Tracking

Jiaming Liang, Chao Xu, Shengze Cai

Flow visualization technologies such as particle tracking velocimetry (PTV) are broadly used in understanding the all-pervasiveness three-dimensional (3D) turbulent flow from natur…

math.OC2022★ 1 cited

Neural Observer with Lyapunov Stability Guarantee for Uncertain Nonlinear Systems

Song Chen, Shengze Cai, Tehuan Chen +2

In this paper, we propose a novel nonlinear observer based on neural networks, called neural observer, for observation tasks of linear time-invariant (LTI) systems and uncertain no…

physics.comp-ph2021★ 28 cited

A comprehensive and fair comparison of two neural operators (with practical extensions) based on FAIR data

Lu Lu, Xuhui Meng, Shengze Cai +4

Neural operators can learn nonlinear mappings between function spaces and offer a new simulation paradigm for real-time prediction of complex dynamics for realistic diverse applica…

eess.IV2021

AOSLO-net: A deep learning-based method for automatic segmentation of retinal microaneurysms from adaptive optics scanning laser ophthalmoscope images

Qian Zhang, Konstantina Sampani, Mengjia Xu +5

Microaneurysms (MAs) are one of the earliest signs of diabetic retinopathy (DR), a frequent complication of diabetes that can lead to visual impairment and blindness. Adaptive opti…

physics.flu-dyn2021★ 72 cited

Physics-informed neural networks (PINNs) for fluid mechanics: A review

Shengze Cai, Zhiping Mao, Zhicheng Wang +2

Despite the significant progress over the last 50 years in simulating flow problems using numerical discretization of the Navier-Stokes equations (NSE), we still cannot incorporate…

physics.flu-dyn2021★ 349 cited

Flow over an espresso cup: Inferring 3D velocity and pressure fields from tomographic background oriented schlieren videos via physics-informed neural networks

Shengze Cai, Zhicheng Wang, Frederik Fuest +3

Tomographic background oriented schlieren (Tomo-BOS) imaging measures density or temperature fields in 3D using multiple camera BOS projections, and is particularly useful for inst…

physics.comp-ph2020★ 140 cited

Operator learning for predicting multiscale bubble growth dynamics

Chensen Lin, Zhen Li, Lu Lu +3

Simulating and predicting multiscale problems that couple multiple physics and dynamics across many orders of spatiotemporal scales is a great challenge that has not been investiga…

physics.comp-ph2020★ 217 cited

DeepM&Mnet: Inferring the electroconvection multiphysics fields based on operator approximation by neural networks

Shengze Cai, Zhicheng Wang, Lu Lu +2

Electroconvection is a multiphysics problem involving coupling of the flow field with the electric field as well as the cation and anion concentration fields. For small Debye lengt…

physics.comp-ph2020★ 1.2k cited

NSFnets (Navier-Stokes Flow nets): Physics-informed neural networks for the incompressible Navier-Stokes equations

Xiaowei Jin, Shengze Cai, Hui Li +1

We employ physics-informed neural networks (PINNs) to simulate the incompressible flows ranging from laminar to turbulent flows. We perform PINN simulations by considering two diff…