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Deep learning methods have gained popularity in recent years through the media and the relative ease of implementation through open source packages such as Keras. We investigate the applicability of popular recurrent neural networks in…

Applications · Statistics 2023-01-05 Andrew T. Karl , James Wisnowski , Lambros Petropoulos

In this paper, we consider the adaptive Eulerian--Lagrangian method (ELM) for linear convection-diffusion problems. Unlike the classical a posteriori error estimations, we estimate the temporal error along the characteristics and derive a…

Numerical Analysis · Mathematics 2012-09-07 Xiaozhe Hu , Young-Ju Lee , Jinchao Xu , Chensong Zhang

Recently, deep learning has emerged as a promising tool for statistical downscaling, the set of methods for generating high-resolution climate fields from coarse low-resolution variables. Nevertheless, their ability to generalize to climate…

Machine Learning · Computer Science 2023-05-03 Jose González-Abad , Jorge Baño-Medina

Global Climate Models (GCMs) are crucial for predicting future climate changes by simulating the Earth systems. However, the GCM Outputs exhibit systematic biases due to model uncertainties, parameterization simplifications, and inadequate…

Machine Learning · Statistics 2025-06-09 Wentao Gao , Jiuyong Li , Debo Cheng , Lin Liu , Jixue Liu , Thuc Duy Le , Xiaojing Du , Xiongren Chen , Yanchang Zhao , Yun Chen

Deep learning (DL) in general and Recurrent neural networks (RNNs) in particular have seen high success levels in sequence based applications. This paper pertains to RNNs for time series modelling and forecasting. We propose a novel RNN…

Machine Learning · Computer Science 2022-07-12 Avinash Achar , Soumen Pachal

Diffusion models have achieved remarkable generative quality but remain bottlenecked by costly iterative sampling. Recent training-free methods accelerate diffusion process by reusing model outputs. However, these methods ignore denoising…

Computer Vision and Pattern Recognition · Computer Science 2025-10-29 Jiajian Xie , Hubery Yin , Chen Li , Zhou Zhao , Shengyu Zhang

Seismic data often contain gaps due to various obstacles in the investigated area and recording instrument failures. Deep learning techniques offer promising solutions for reconstructing missing data parts by leveraging existing…

Geophysics · Physics 2024-04-04 Mohammad Mahdi Abedi , David Pardo , Tariq Alkhalifah

Deep-learning (DL) weather prediction models offer some notable advantages over traditional physics-based models, including auto-differentiability and low computational cost, enabling detailed diagnostics of forecast errors. Using our…

Atmospheric and Oceanic Physics · Physics 2025-07-23 Uros Perkan , Ziga Zaplotnik , Gregor Skok

Ensemble approaches are commonly used techniques to improving a system by combining multiple model predictions. Additionally these schemes allow the uncertainty, as well as the source of the uncertainty, to be derived for the prediction.…

Computation and Language · Computer Science 2020-12-16 Yassir Fathullah , Mark Gales , Andrey Malinin

Operational forecasting centers are investing in decadal (1-10 year) forecast systems to support long-term decision making for a more climate-resilient society. One method that has previously been employed is the Dynamic Mode Decomposition…

Machine Learning · Computer Science 2021-06-22 Eduardo Rodrigues , Bianca Zadrozny , Campbell Watson , David Gold

Coupled spatiotemporal forecasting is important for predicting the future evolution of multiple interacting dynamical systems, such as in climate models. However, existing methods are severely constrained by the persistent bottleneck of…

Artificial Intelligence · Computer Science 2026-05-14 Hao Wu , Fan Xu , Yuxu Lu , Penghao Zhao , Fan Zhang , Hao Jia , Yuxuan Liang , Ruijian Gou , Qingsong Wen , Xian Wu , Xiaomeng Huang , Yuan Gao

Traffic flow forecasting is a crucial task in intelligent transport systems. Deep learning offers an effective solution, capturing complex patterns in time-series traffic flow data to enable the accurate prediction. However, deep learning…

Machine Learning · Computer Science 2024-11-07 Qiyuan Zhu , A. K. Qin , Hussein Dia , Adriana-Simona Mihaita , Hanna Grzybowska

With large quantities of data typically available nowadays, forecasting models that are trained across sets of time series, known as Global Forecasting Models (GFM), are regularly outperforming traditional univariate forecasting models that…

Machine Learning · Computer Science 2021-09-22 Rakshitha Godahewa , Kasun Bandara , Geoffrey I. Webb , Slawek Smyl , Christoph Bergmeir

Climate change exacerbates extreme weather events like heavy rainfall and flooding. As these events cause severe socioeconomic damage, accurate high-resolution simulation of precipitation is imperative. However, existing Earth System Models…

Geophysics · Physics 2026-02-03 Michael Aich , Philipp Hess , Baoxiang Pan , Sebastian Bathiany , Yu Huang , Niklas Boers

Accurate load forecasting is critical for reliable and efficient planning and operation of electric power grids. In this paper, we propose a unifying deep learning framework for load forecasting, which includes time-varying feature…

Machine Learning · Computer Science 2023-05-10 Jing Xiong , Yu Zhang

Nowadays, time series forecasting is predominantly approached through the end-to-end training of deep learning architectures using error-based objectives. While this is effective at minimizing average loss, it encourages the encoder to…

Machine Learning · Computer Science 2026-03-26 Jiacheng Wang , Liang Fan , Baihua Li , Luyan Zhang

Modern weather forecast models perform uncertainty quantification using ensemble prediction systems, which collect nonparametric statistics based on multiple perturbed simulations. To provide accurate estimation, dozens of such…

Machine Learning · Computer Science 2019-12-06 Peter Grönquist , Tal Ben-Nun , Nikoli Dryden , Peter Dueben , Luca Lavarini , Shigang Li , Torsten Hoefler

In large-scale datacenters, memory failure is a common cause of server crashes, with Uncorrectable Errors (UEs) being a major indicator of Dual Inline Memory Module (DIMM) defects. Existing approaches primarily focus on predicting UEs using…

Hardware Architecture · Computer Science 2023-12-19 Qiao Yu , Wengui Zhang , Jorge Cardoso , Odej Kao

In this paper, we propose a novel model for time series prediction in which difference-attention LSTM model and error-correction LSTM model are respectively employed and combined in a cascade way. While difference-attention LSTM model…

Machine Learning · Computer Science 2020-08-26 Yuxuan Liu , Jiangyong Duan , Juan Meng

Multivariate time series (MTS) forecasting is crucial for decision-making in domains such as weather, energy, and finance. It remains challenging because real-world sequences intertwine slow trends, multi-rate seasonalities, and irregular…

Machine Learning · Computer Science 2026-02-06 Shunya Nagashima , Shuntaro Suzuki , Shuitsu Koyama , Shinnosuke Hirano