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Self-attention in Transformers is typically implemented as $\mathrm{softmax}(QK^\top/\sqrt{d})V$, where $Q=XW_Q$, $K=XW_K$, and $V=XW_V$ are learned linear projections of the input $X$. We ask whether these learned projections are…

Machine Learning · Computer Science 2026-05-05 Debarshi Kundu , Archisman Ghosh , Swaroop Ghosh , Vasant Honavar

Wind energy is a widely distributed, renewable, and environmentally friendly energy source that plays a crucial role in mitigating global warming and addressing energy shortages. Nevertheless, wind power generation is characterized by…

Machine Learning · Computer Science 2023-09-06 Meiyu Jiang , Jun Shen , Xuetao Jiang , Lihui Luo , Rui Zhou , Qingguo Zhou

The recently developed transformer networks have achieved impressive performance in image denoising by exploiting the self-attention (SA) in images. However, the existing methods mostly use a relatively small window to compute SA due to the…

Computer Vision and Pattern Recognition · Computer Science 2023-02-28 Shi Guo , Hongwei Yong , Xindong Zhang , Jianqi Ma , Lei Zhang

Recently, there has been growing interest in the use of machine-learning methods for predicting solar flares. Initial efforts along these lines employed comparatively simple models, correlating features extracted from observations of…

Solar and Stellar Astrophysics · Physics 2023-06-21 Varad Deshmukh , Srinivas Baskar , Elizabeth Bradley , Thomas Berger , James D. Meiss

Data-driven deep learning models are transforming global weather forecasting. It is an open question if this success can extend to climate modeling, where the complexity of the data and long inference rollouts pose significant challenges.…

Machine Learning · Computer Science 2024-11-14 Salva Rühling Cachay , Brian Henn , Oliver Watt-Meyer , Christopher S. Bretherton , Rose Yu

Predictive process monitoring aims to support the execution of a process during runtime with various predictions about the further evolution of a process instance. In the last years a plethora of deep learning architectures have been…

Machine Learning · Computer Science 2024-08-15 Martin Käppel , Lars Ackermann , Stefan Jablonski , Simon Härtl

Traffic flow forecasting is essential and challenging to intelligent city management and public safety. Recent studies have shown the potential of convolution-free Transformer approach to extract the dynamic dependencies among complex…

Physics and Society · Physics 2021-11-08 Xiao Yan , Xianghua Gan , Jingjing Tang , Rui Wang

An impact of climate change is the increase in frequency and intensity of extreme precipitation events. However, confidently predicting the likelihood of extreme precipitation at seasonal scales remains an outstanding challenge. Here, we…

Machine Learning · Computer Science 2021-07-15 Daniel Salles Civitarese , Daniela Szwarcman , Bianca Zadrozny , Campbell Watson

Long-term time series forecasting (LTSF) is a crucial aspect of modern society, playing a pivotal role in facilitating long-term planning and developing early warning systems. While many Transformer-based models have recently been…

Machine Learning · Computer Science 2023-05-31 Jiaxin Gao , Wenbo Hu , Yuntian Chen

Data-driven artificial intelligence (AI) models have made significant advancements in weather forecasting, particularly in medium-range and nowcasting. However, most data-driven weather forecasting models are black-box systems that focus on…

Machine Learning · Computer Science 2025-01-14 Wanghan Xu , Fenghua Ling , Wenlong Zhang , Tao Han , Hao Chen , Wanli Ouyang , Lei Bai

Neural operators have emerged as promising frameworks for learning mappings governed by partial differential equations (PDEs), serving as data-driven alternatives to traditional numerical methods. While methods such as the Fourier neural…

Machine Learning · Computer Science 2025-04-21 Minsu Koh , Beom-Chul Park , Heejo Kong , Seong-Whan Lee

The point cloud learning community witnesses a modeling shift from CNNs to Transformers, where pure Transformer architectures have achieved top accuracy on the major learning benchmarks. However, existing point Transformers are…

Computer Vision and Pattern Recognition · Computer Science 2022-03-25 Zhang Cheng , Haocheng Wan , Xinyi Shen , Zizhao Wu

Various modifications of TRANSFORMER were recently used to solve time-series forecasting problem. We propose Query Selector - an efficient, deterministic algorithm for sparse attention matrix. Experiments show it achieves state-of-the art…

Machine Learning · Computer Science 2021-08-18 Jacek Klimek , Jakub Klimek , Witold Kraskiewicz , Mateusz Topolewski

The added value of machine learning for weather and climate applications is measurable through performance metrics, but explaining it remains challenging, particularly for large deep learning models. Inspired by climate model hierarchies,…

Computational Physics · Physics 2025-01-22 Tom Beucler , Arthur Grundner , Sara Shamekh , Peter Ukkonen , Matthew Chantry , Ryan Lagerquist

Recurrent Neural Networks were, until recently, one of the best ways to capture the timely dependencies in sequences. However, with the introduction of the Transformer, it has been proven that an architecture with only attention-mechanisms…

Machine Learning · Computer Science 2021-08-19 Radostin Cholakov , Todor Kolev

The attention mechanism of a transformer has a quadratic complexity, leading to high inference costs and latency for long sequences. However, attention matrices are mostly sparse, which implies that many entries may be omitted from…

Machine Learning · Computer Science 2025-11-25 Jeffrey Willette , Heejun Lee , Sung Ju Hwang

Transformer-based time series forecasting has recently gained strong interest due to the ability of transformers to model sequential data. Most of the state-of-the-art architectures exploit either temporal or inter-channel dependencies,…

Machine Learning · Computer Science 2025-03-25 Davide Villaboni , Alberto Castellini , Ivan Luciano Danesi , Alessandro Farinelli

The recently developed pure Transformer architectures have attained promising accuracy on point cloud learning benchmarks compared to convolutional neural networks. However, existing point cloud Transformers are computationally expensive…

Computer Vision and Pattern Recognition · Computer Science 2022-05-26 Cheng Zhang , Haocheng Wan , Xinyi Shen , Zizhao Wu

The classification of weather data involves categorizing meteorological phenomena into classes, thereby facilitating nuanced analyses and precise predictions for various sectors such as agriculture, aviation, and disaster management. This…

Machine Learning · Computer Science 2023-10-23 Elaheh Jafarigol , Theodore Trafalis

Accurate short-term power load forecasting is important to effectively manage, optimize, and ensure the robustness of modern power systems. This paper performs an empirical evaluation of a traditional statistical model and deep learning…

Machine Learning · Computer Science 2026-03-10 Suhasnadh Reddy Veluru , Sai Teja Erukude , Viswa Chaitanya Marella
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