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Long-term traffic flow forecasting plays a crucial role in intelligent transportation as it allows traffic managers to adjust their decisions in advance. However, the problem is challenging due to spatio-temporal correlations and complex…

Machine Learning · Computer Science 2024-08-14 Zibo Liu , Zhe Jiang , Shigang Chen

Accurately forecasting the long-term evolution of turbulence represents a grand challenge in scientific computing and is crucial for applications ranging from climate modeling to aerospace engineering. Existing deep learning methods,…

Machine Learning · Computer Science 2026-05-20 Hao Wu , Yuan Gao , Fan Xu , Fan Zhang , Qingsong Wen , Kun Wang , Xiaomeng Huang , Xian Wu

Extrapolation remains a grand challenge in deep neural networks across all application domains. We propose an operator learning method to solve time-dependent partial differential equations (PDEs) continuously and with extrapolation in time…

Machine Learning · Computer Science 2023-12-12 Oded Ovadia , Vivek Oommen , Adar Kahana , Ahmad Peyvan , Eli Turkel , George Em Karniadakis

Traffic forecasting is an indispensable part of Intelligent transportation systems (ITS), and long-term network-wide accurate traffic speed forecasting is one of the most challenging tasks. Recently, deep learning methods have become…

Artificial Intelligence · Computer Science 2021-04-13 Haoyang Yan , Xiaolei Ma

Highway traffic modeling and forecasting approaches are critical for intelligent transportation systems. Recently, deep-learning-based traffic forecasting methods have emerged as state of the art for a wide range of traffic forecasting…

Machine Learning · Computer Science 2020-04-21 Tanwi Mallick , Prasanna Balaprakash , Eric Rask , Jane Macfarlane

Detectors with high coverage have direct and far-reaching benefits for road users in route planning and avoiding traffic congestion, but utilizing these data presents unique challenges including: the dynamic temporal correlation, and the…

Computer Vision and Pattern Recognition · Computer Science 2021-11-02 He Li , Shiyu Zhang , Xuejiao Li , Liangcai Su , Hongjie Huang , Duo Jin , Linghao Chen , Jianbing Huang , Jaesoo Yoo

Diffusion transformers have demonstrated remarkable generation quality, albeit requiring longer training iterations and numerous inference steps. In each denoising step, diffusion transformers encode the noisy inputs to extract the…

Computer Vision and Pattern Recognition · Computer Science 2025-04-10 Shuai Wang , Zhi Tian , Weilin Huang , Limin Wang

Recent advances in neural models have shown considerable promise in solving Traveling Salesman Problems (TSPs) without relying on much hand-crafted engineering. However, while non-autoregressive (NAR) approaches benefit from faster…

Machine Learning · Computer Science 2025-01-24 Mingzhao Wang , You Zhou , Zhiguang Cao , Yubin Xiao , Xuan Wu , Wei Pang , Yuan Jiang , Hui Yang , Peng Zhao , Yuanshu Li

The ability to generate a diverse and plausible distribution of future trajectories is a critical capability for autonomous vehicle planning systems. While recent generative models have shown promise, achieving high fidelity, computational…

Robotics · Computer Science 2025-09-09 Antonio Guillen-Perez

We propose Diffusion Noise Optimization (DNO), a new method that effectively leverages existing motion diffusion models as motion priors for a wide range of motion-related tasks. Instead of training a task-specific diffusion model for each…

Computer Vision and Pattern Recognition · Computer Science 2024-04-04 Korrawe Karunratanakul , Konpat Preechakul , Emre Aksan , Thabo Beeler , Supasorn Suwajanakorn , Siyu Tang

Neural operators have emerged as powerful tools for learning solution operators of partial differential equations. However, in time-dependent problems, standard training strategies such as teacher forcing introduce a mismatch between…

Machine Learning · Computer Science 2025-05-28 Zaijun Ye , Chen-Song Zhang , Wansheng Wang

Long-term predictions of nonlinear dynamics of three-dimensional (3D) turbulence are very challenging for machine learning approaches. In this paper, we propose an implicit U-Net enhanced Fourier neural operator (IU-FNO) for stable and…

Fluid Dynamics · Physics 2023-08-02 Zhijie Li , Wenhui Peng , Zelong Yuan , Jianchun Wang

This paper introduces a data-driven operator learning method for multiscale partial differential equations, with a particular emphasis on preserving high-frequency information. Drawing inspiration from the representation of multiscale…

Machine Learning · Computer Science 2024-08-05 Bo Xu , Xinliang Liu , Lei Zhang

Accurate prediction of mobile traffic, i.e., network traffic from cellular base stations, is crucial for optimizing network performance and supporting urban development. However, the non-stationary nature of mobile traffic, driven by human…

Machine Learning · Computer Science 2025-06-30 Zhi Sheng , Daisy Yuan , Jingtao Ding , Yong Li

Fourier Neural Operators (FNOs) have demonstrated exceptional accuracy in mapping functional spaces by leveraging Fourier transforms to establish a connection with underlying physical principles. However, their opaque inner workings often…

Fluid Dynamics · Physics 2025-11-04 Marco Cayuela , Vincent Le Chenadec , Peter Schmid , Taraneh Sayadi

Accurate long-term forecasting of spatiotemporal dynamics remains a fundamental challenge across scientific and engineering domains. Existing machine learning methods often neglect governing physical laws and fail to quantify inherent…

Machine Learning · Computer Science 2025-10-27 Qingsong Xu , Jonathan L Bamber , Nils Thuerey , Niklas Boers , Paul Bates , Gustau Camps-Valls , Yilei Shi , Xiao Xiang Zhu

This short note proposes a model-driven conditional Fourier neural operator (MD-CFNO) for synthetic turbulence generation. Spectrum-consistent synthetic turbulence is essential for inflow boundary construction in computational fluid…

Fluid Dynamics · Physics 2026-01-22 Hongyuan Lin , Shizhao Wang

Solving parametric partial differential equations (PDEs) and associated PDE-based, inverse problems is a central task in engineering and physics, yet existing neural operator methods struggle with high-dimensional, discontinuous inputs and…

Machine Learning · Computer Science 2025-07-03 Yaohua Zang , Phaedon-Stelios Koutsourelakis

Drivers' visual attention provides critical cues for anticipating latent hazards and directly shapes decision-making and control maneuvers, where its absence can compromise traffic safety. To emulate drivers' perception patterns and advance…

Computer Vision and Pattern Recognition · Computer Science 2026-04-08 Weimin Liu , Qingkun Li , Jiyuan Qiu , Wenjun Wang , Joshua H. Meng

Forecasting over graph-structured sensor networks demands models that capture both deterministic spatial trends and stochastic variability, while remaining efficient enough for repeated inference as new observations arrive. We propose…

Machine Learning · Computer Science 2026-04-02 Hanlin Dong , Arian Prabowo , Hao Xue , Ao Shuang , Tianyi Zhou , Flora D. Salim