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Fourier neural operators (FNOs) are a recently introduced neural network architecture for learning solution operators of partial differential equations (PDEs), which have been shown to perform significantly better than comparable deep…

Dynamic graph learning plays a pivotal role in modeling evolving relationships over time, especially for temporal link prediction tasks in domains such as traffic systems, social networks, and recommendation platforms. While…

机器学习 · 计算机科学 2025-11-18 Tao Zou , Chengfeng Wu , Tianxi Liao , Junchen Ye , Bowen Du

Transformers have recently shown superior performances on various vision tasks. The large, sometimes even global, receptive field endows Transformer models with higher representation power over their CNN counterparts. Nevertheless, simply…

计算机视觉与模式识别 · 计算机科学 2022-05-25 Zhuofan Xia , Xuran Pan , Shiji Song , Li Erran Li , Gao Huang

While transformers have shown great potential on video recognition with their strong capability of capturing long-range dependencies, they often suffer high computational costs induced by the self-attention to the huge number of 3D tokens.…

计算机视觉与模式识别 · 计算机科学 2022-11-23 Yuxuan Liang , Pan Zhou , Roger Zimmermann , Shuicheng Yan

Transformer-based neural operators have emerged as promising surrogate solvers for partial differential equations, by leveraging the effectiveness of Transformers for capturing long-range dependencies and global correlations, profoundly…

机器学习 · 计算机科学 2025-08-07 Fangzhi Fei , Jiaxin Hu , Qiaofeng Li , Zhenyu Liu

Physics-informed neural operators have emerged as a powerful paradigm for solving parametric partial differential equations (PDEs), particularly in the aerospace field, enabling the learning of solution operators that generalize across…

机器学习 · 计算机科学 2025-06-24 Jing Wang , Biao Chen , Hairun Xie , Rui Wang , Yifan Xia , Jifa Zhang , Hui Xu

Real-world scientific applications frequently encounter incomplete observational data due to sensor limitations, geographic constraints, or measurement costs. Although neural operators significantly advanced PDE solving in terms of…

机器学习 · 计算机科学 2026-01-28 Jingren Hou , Hong Wang , Pengyu Xu , Chang Gao , Huafeng Liu , Liping Jing

The transformer is the most popular neural architecture for language modeling. The cornerstone of the transformer is its global attention mechanism, which lets the model aggregate information from all preceding tokens before generating the…

计算与语言 · 计算机科学 2026-05-20 Jiaoda Li , Ryan Cotterell

The original softmax-based attention mechanism (regular attention) in the extremely successful Transformer architecture computes attention between $N$ tokens, each embedded in a $D$-dimensional head, with a time complexity of $O(N^2D)$.…

机器学习 · 计算机科学 2025-10-28 Armin Gerami , Ramani Duraiswami

Image editing techniques have rapidly advanced, facilitating both innovative use cases and malicious manipulation of digital images. Deep learning-based methods have recently achieved high accuracy in pixel-level forgery localization, yet…

计算机视觉与模式识别 · 计算机科学 2025-06-27 Ju-Hyeon Nam , Dong-Hyun Moon , Sang-Chul Lee

The Transformer architecture has become a cornerstone of modern artificial intelligence, but its core self-attention mechanism suffers from a complexity bottleneck that scales quadratically with sequence length, severely limiting its…

机器学习 · 计算机科学 2025-08-29 Zhongpan Tang

We study the problem of \emph{architecture selection} for deep learning models trained to solve partial differential equations (PDEs), asking when transformer-based architectures with learned attention outperform Fourier-domain neural…

机器学习 · 计算机科学 2026-05-12 Brandon Yee , Pairie Koh , Jack Rodriguez , Mihir Tekal

Currently, prominent Transformer architectures applied on graphs and meshes for shape analysis tasks employ traditional attention layers that heavily utilize spectral features requiring costly eigenvalue decomposition-based methods. To…

图形学 · 计算机科学 2025-12-09 Akis Nousias , Stavros Nousias

Transformers have emerged as viable alternatives to convolutional neural networks owing to their ability to learn non-local region relationships in the spatial domain. The self-attention mechanism of the transformer enables transformers to…

图像与视频处理 · 电气工程与系统科学 2023-08-09 Rahul G. S. , Sriprabha Ramnarayanan , Mohammad Al Fahim , Keerthi Ram , Preejith S. P , Mohanasankar Sivaprakasam

Physics-Informed Neural Networks (PINNs) have emerged as a promising deep learning framework for approximating numerical solutions to partial differential equations (PDEs). However, conventional PINNs, relying on multilayer perceptrons…

计算工程、金融与科学 · 计算机科学 2024-05-08 Zhiyuan Zhao , Xueying Ding , B. Aditya Prakash

Recently Transformer-based hyperspectral image (HSI) change detection methods have shown remarkable performance. Nevertheless, existing attention mechanisms in Transformers have limitations in local feature representation. To address this…

图像与视频处理 · 电气工程与系统科学 2024-11-22 Ziyi Wang , Feng Gao , Junyu Dong , Qian Du

Learning underlying dynamics from data is important and challenging in many real-world scenarios. Incorporating differential equations (DEs) to design continuous networks has drawn much attention recently, however, most prior works make…

机器学习 · 计算机科学 2023-02-03 Yesom Park , Jaemoo Choi , Changyeon Yoon , Chang hoon Song , Myungjoo Kang

Partial differential equations (PDEs) play a central role in describing many physical phenomena. Various scientific and engineering applications demand a versatile and differentiable PDE solver that can quickly generate solutions with…

Attention mechanisms have become a popular component in deep neural networks, yet there has been little examination of how different influencing factors and methods for computing attention from these factors affect performance. Toward a…

计算机视觉与模式识别 · 计算机科学 2019-04-15 Xizhou Zhu , Dazhi Cheng , Zheng Zhang , Stephen Lin , Jifeng Dai

Processing spatial data is a key component in many learning tasks for autonomous driving such as motion forecasting, multi-agent simulation, and planning. Prior works have demonstrated the value in using SE(2) invariant network…

机器学习 · 计算机科学 2025-07-25 Ethan Pronovost , Neha Boloor , Peter Schleede , Noureldin Hendy , Andres Morales , Nicholas Roy