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Accurately autoregressive prediction of three-dimensional (3D) turbulence has been one of the most challenging problems for machine learning approaches. Diffusion models have demonstrated high accuracy in predicting two-dimensional (2D)…

流体动力学 · 物理学 2026-03-25 Yuchi Jiang , Yunpeng Wang , Huiyu Yang , Jianchun Wang

We integrate neural operators with diffusion models to address the spectral limitations of neural operators in surrogate modeling of turbulent flows. While neural operators offer computational efficiency, they exhibit deficiencies in…

机器学习 · 计算机科学 2025-02-14 Vivek Oommen , Aniruddha Bora , Zhen Zhang , George Em Karniadakis

We introduce DiffFNO, a novel diffusion framework for arbitrary-scale super-resolution strengthened by a Weighted Fourier Neural Operator (WFNO). Mode Rebalancing in WFNO effectively captures critical frequency components, significantly…

计算机视觉与模式识别 · 计算机科学 2025-04-08 Xiaoyi Liu , Hao Tang

The exploration of high-speed movement by robots or road traffic agents is crucial for autonomous driving and navigation. Trajectory prediction at high speeds requires considering historical features and interactions with surrounding…

机器人学 · 计算机科学 2024-05-14 Yao Liu , Ruoyu Wang , Yuanjiang Cao , Quan Z. Sheng , Lina Yao

Long-term prediction of three-dimensional (3D) turbulent flows is one of the most challenging problems for machine learning approaches. Although some existing machine learning approaches such as implicit U-net enhanced Fourier neural…

流体动力学 · 物理学 2025-11-04 Yuchi Jiang , Zhijie Li , Yunpeng Wang , Huiyu Yang , Jianchun Wang

Long-term fluid dynamics forecasting is a critically important problem in science and engineering. While neural operators have emerged as a promising paradigm for modeling systems governed by partial differential equations (PDEs), they…

机器学习 · 计算机科学 2026-03-31 Huanshuo Dong , Hao Wu , Hong Wang , Qin-Yi Zhang , Zhezheng Hao

Spatiotemporal forecasting has various applications in neuroscience, climate and transportation domain. Traffic forecasting is one canonical example of such learning task. The task is challenging due to (1) complex spatial dependency on…

机器学习 · 计算机科学 2018-02-26 Yaguang Li , Rose Yu , Cyrus Shahabi , Yan Liu

This paper explores Neural Operators to predict turbulent flows, focusing on the Fourier Neural Operator (FNO) model. It aims to develop reduced-order/surrogate models for turbulent flow simulations using Machine Learning. Different model…

流体动力学 · 物理学 2023-07-26 Fernando Gonzalez , François-Xavier Demoulin , Simon Bernard

Diffusion models have emerged as powerful generative priors for solving PDE-constrained inverse problems. Compared to end-to-end approaches relying on massive paired datasets, explicitly decoupling the prior distribution of physical…

数值分析 · 数学 2026-04-23 Haibo Liu , Guang Lin

Simulating and controlling physical systems described by partial differential equations (PDEs) are crucial tasks across science and engineering. Recently, diffusion generative models have emerged as a competitive class of methods for these…

机器学习 · 计算机科学 2025-06-27 Peiyan Hu , Rui Wang , Xiang Zheng , Tao Zhang , Haodong Feng , Ruiqi Feng , Long Wei , Yue Wang , Zhi-Ming Ma , Tailin Wu

As a core technology of Intelligent Transportation System, traffic flow prediction has a wide range of applications. The fundamental challenge in traffic flow prediction is to effectively model the complex spatial-temporal dependencies in…

机器学习 · 计算机科学 2024-03-08 Jiawei Jiang , Chengkai Han , Wayne Xin Zhao , Jingyuan Wang

Neural operators have emerged as powerful surrogates for dynamical systems due to their grid-invariant properties and computational efficiency. However, the Fourier-based neural operator framework inherently truncates high-frequency…

机器学习 · 计算机科学 2026-04-09 Tianyue Yang , Xiao Xue

Due to network operation and maintenance relying heavily on network traffic monitoring, traffic matrix analysis has been one of the most crucial issues for network management related tasks. However, it is challenging to reliably obtain the…

网络与互联网体系结构 · 计算机科学 2024-12-02 Xinyu Yuan , Yan Qiao , Zhenchun Wei , Zeyu Zhang , Minyue Li , Pei Zhao , Rongyao Hu , Wenjing Li

Traffic forecasting, which aims to predict traffic conditions based on historical observations, has been an enduring research topic and is widely recognized as an essential component of intelligent transportation. Recent proposals on…

机器学习 · 计算机科学 2025-12-23 Zezhi Shao , Fei Wang , Tao Sun , Chengqing Yu , Yuchen Fang , Guangyin Jin , Zhulin An , Yang Liu , Xiaobo Qu , Yongjun Xu

Accident anticipation is essential for proactive and safe autonomous driving, where even a brief advance warning can enable critical evasive actions. However, two key challenges hinder real-world deployment: (1) noisy or degraded sensory…

计算机视觉与模式识别 · 计算机科学 2025-11-13 Xingcheng Liu , Bin Rao , Yanchen Guan , Chengyue Wang , Haicheng Liao , Jiaxun Zhang , Chengyu Lin , Meixin Zhu , Zhenning Li

Deep neural network models have shown a great potential in accelerating the simulation of fluid dynamic systems. Once trained, these models can make inference within seconds, thus can be extremely efficient. However, they suffer from a…

流体动力学 · 物理学 2022-02-23 Wenhui Peng , Zelong Yuan , Jianchun Wang

Predicting the large-scale dynamics of three-dimensional (3D) turbulence is challenging for machine learning approaches. This paper introduces a transformer-based neural operator (TNO) to achieve precise and efficient predictions in the…

流体动力学 · 物理学 2024-06-07 Zhijie Li , Tianyuan Liu , Wenhui Peng , Zelong Yuan , Jianchun Wang

Diffusion models demonstrate remarkable capabilities in capturing complex data distributions and have achieved compelling results in many generative tasks. While they have recently been extended to dense prediction tasks such as depth…

计算机视觉与模式识别 · 计算机科学 2025-12-16 Haorui Ji , Taojun Lin , Hongdong Li

Time-dependent partial differential equations (PDEs) are ubiquitous in science and engineering. Recently, mostly due to the high computational cost of traditional solution techniques, deep neural network based surrogates have gained…

Diffusion models have found widespread adoption in various areas. However, their sampling process is slow because it requires hundreds to thousands of network evaluations to emulate a continuous process defined by differential equations. In…

机器学习 · 计算机科学 2023-07-25 Hongkai Zheng , Weili Nie , Arash Vahdat , Kamyar Azizzadenesheli , Anima Anandkumar
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