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Transformers have achieved widespread success in computer vision. At their heart, there is a Self-Attention (SA) mechanism, an inductive bias that associates each token in the input with every other token through a weighted basis. The…

计算机视觉与模式识别 · 计算机科学 2023-08-16 Anahita Nekoozadeh , Mohammad Reza Ahmadzadeh , Zahra Mardani

Recently, there has been a surge of research on data-driven weather forecasting systems, especially applications based on convolutional neural networks (CNNs). These are usually trained on atmospheric data represented on regular…

大气与海洋物理 · 物理学 2023-09-18 Sebastian Scher , Gabriele Messori

Accurate weather and climate modeling is critical for both scientific advancement and safeguarding communities against environmental risks. Traditional approaches rely heavily on Numerical Weather Prediction (NWP) models, which simulate…

机器学习 · 计算机科学 2024-09-13 Muhammad Akhtar Munir , Fahad Shahbaz Khan , Salman Khan

Accurate prediction of three-dimensional (3D) wind fields over complex mountainous terrain is essential for renewable energy deployment and regional weather modeling. Traditional computational fluid dynamics (CFD) simulations face two…

流体动力学 · 物理学 2026-05-26 Yujia Zhang , Jiaxi Qi , Ruiyan Chen , Yong Liu , Yuzhou Zhang , Lyulin Kuang , Rita Zhang , Shengze Cai

Time series forecasting presents a significant challenge, particularly when its accuracy relies on external data sources rather than solely on historical values. This issue is prevalent in the financial sector, where the future behavior of…

机器学习 · 计算机科学 2024-03-22 Hajar Emami , Xuan-Hong Dang , Yousaf Shah , Petros Zerfos

Extreme precipitation wreaks havoc throughout the world, causing billions of dollars in damage and uprooting communities, ecosystems, and economies. Accurate extreme precipitation prediction allows more time for preparation and disaster…

机器学习 · 计算机科学 2022-02-01 Weichen Huang

Transformer-based models have achieved remarkable success in multivariate time series forecasting (MTSF) by capturing long-range dependencies. However, their widespread adoption is hindered by the quadratic computational complexity of…

机器学习 · 计算机科学 2026-05-12 Fanpu Cao , Shu Yang , Zhengjian Chen , Ye Liu , Laizhong Cui

Multi-horizon forecasting problems often contain a complex mix of inputs -- including static (i.e. time-invariant) covariates, known future inputs, and other exogenous time series that are only observed historically -- without any prior…

机器学习 · 统计学 2020-09-29 Bryan Lim , Sercan O. Arik , Nicolas Loeff , Tomas Pfister

Transformer models are computationally costly on long sequences since regular attention has quadratic $O(n^2)$ time complexity. We introduce Wavelet-Enhanced Random Spectral Attention (WERSA), a novel mechanism of linear $O(n)$ time…

机器学习 · 计算机科学 2025-07-14 Vincenzo Dentamaro

Current Transformer methods for Multivariate Time-Series Forecasting (MTSF) are all based on the conventional attention mechanism. They involve sequence embedding and performing a linear projection of Q, K, and V, and then computing…

机器学习 · 计算机科学 2024-07-22 Haixiang Wu

Environmental crisis remains a global challenge that affects public health and environmental quality. Despite extensive research, accurately forecasting environmental change trends to inform targeted policies and assess prediction…

应用统计 · 统计学 2025-11-04 Ning Xin , Jionglong Su , Md Maruf Hasan

The Transformer model has shown leading performance in time series forecasting. Nevertheless, in some complex scenarios, it tends to learn low-frequency features in the data and overlook high-frequency features, showing a frequency bias.…

机器学习 · 计算机科学 2024-07-04 Xihao Piao , Zheng Chen , Taichi Murayama , Yasuko Matsubara , Yasushi Sakurai

A variety of real-world applications rely on far future information to make decisions, thus calling for efficient and accurate long sequence multivariate time series forecasting. While recent attention-based forecasting models show strong…

机器学习 · 计算机科学 2022-05-02 Razvan-Gabriel Cirstea , Chenjuan Guo , Bin Yang , Tung Kieu , Xuanyi Dong , Shirui Pan

This paper presents a novel framework to accelerate route prediction in Drone-as-a-Service operations through weather-aware deep learning models. While classical path-planning algorithms, such as A* and Dijkstra, provide optimal solutions,…

机器学习 · 计算机科学 2026-01-08 Kamal Mohamed , Lillian Wassim , Ali Hamdi , Khaled Shaban

The attention module, which is a crucial component in Transformer, cannot scale efficiently to long sequences due to its quadratic complexity. Many works focus on approximating the dot-then-exponentiate softmax function in the original…

机器学习 · 计算机科学 2021-11-04 Shengjie Luo , Shanda Li , Tianle Cai , Di He , Dinglan Peng , Shuxin Zheng , Guolin Ke , Liwei Wang , Tie-Yan Liu

Motivated by the factorization inherent in the original fast multipole method and the improved fast Gauss transform we introduce a factorable form of attention that operates efficiently in high dimensions. This approach reduces the…

机器学习 · 计算机科学 2024-02-13 Armin Gerami , Monte Hoover , Pranav S. Dulepet , Ramani Duraiswami

Transformer-based architectures achieved breakthrough performance in natural language processing and computer vision, yet they remain inferior to simpler linear baselines in multivariate long-term forecasting. To better understand this…

Transformers are widely used in natural language processing, where they consistently achieve state-of-the-art performance. This is mainly due to their attention-based architecture, which allows them to model rich linguistic relations…

计算与语言 · 计算机科学 2022-11-29 Nikolaos Mylonas , Ioannis Mollas , Grigorios Tsoumakas

Transformers are considered one of the most important deep learning models since 2018, in part because it establishes state-of-the-art (SOTA) records and could potentially replace existing Deep Neural Networks (DNNs). Despite the remarkable…

机器学习 · 计算机科学 2022-08-23 Hongwu Peng , Shaoyi Huang , Shiyang Chen , Bingbing Li , Tong Geng , Ang Li , Weiwen Jiang , Wujie Wen , Jinbo Bi , Hang Liu , Caiwen Ding

Real-world problems often involve complex and unstructured sets of measurements, which occur when sensors are sparsely placed in either space or time. Being able to model this irregular spatiotemporal data and extract meaningful forecasts…

机器学习 · 计算机科学 2024-04-17 Arnaud Pannatier , Kyle Matoba , François Fleuret