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Reliable prediction of large chaotic sytems in the short to middle time range is of interest in a number of fields, including climate, ecology, seismology, and economics. In this paper, results from chaos theory, and statistical theory are…

Applications · Statistics 2013-12-17 M. LuValle

Recent years have seen a surge in interest in building deep learning-based fully data-driven models for weather prediction. Such deep learning models if trained on observations can mitigate certain biases in current state-of-the-art weather…

Machine Learning · Computer Science 2022-05-11 Ashesh Chattopadhyay , Jaideep Pathak , Ebrahim Nabizadeh , Wahid Bhimji , Pedram Hassanzadeh

The North Atlantic Oscillation (NAO) index, a measure of sea-level atmospheric pressure variability, holds significant influence over weather patterns in North America and Northern Europe. A negative (positive) NAO value signifies increased…

Applications · Statistics 2024-12-12 Alka Yadav , Sourish Das , Anirban Chakraborti , Sudeep Shukla

The intermittency of solar power, due to occlusion from cloud cover, is one of the key factors inhibiting its widespread use in both commercial and residential settings. Hence, real-time forecasting of solar irradiance for grid-connected…

Computer Vision and Pattern Recognition · Computer Science 2024-09-19 Leron Julian , Aswin C. Sankaranarayanan

This paper studies the chaotic behavior of hydrosphere and its influence on global weather and climate. We give mathematical arguments for the sea surface temperature (SST) to be unpredictable over the global ocean. The impact of SST…

Atmospheric and Oceanic Physics · Physics 2018-01-04 Marat Akhmet , Mehmet Onur Fen , Ejaily Milad Alejaily

Diffusion magnetic resonance imaging is sensitive to the microstructural properties of brain tissue. However, estimating clinically and scientifically relevant microstructural properties from the measured signals remains a highly…

Image and Video Processing · Electrical Eng. & Systems 2024-02-27 Leevi Kerkelä , Kiran Seunarine , Filip Szczepankiewicz , Chris A. Clark

With broad applications in various public services like aviation management and urban disaster warning, numerical precipitation prediction plays a crucial role in weather forecast. However, constrained by the limitation of observation and…

Machine Learning · Computer Science 2019-10-18 Xiaoyang Xu , Yiqun Liu , Hanqing Chao , Youcheng Luo , Hai Chu , Lei Chen , Junping Zhang , Leiming Ma

The increasing severity of climate change necessitates an urgent transition to renewable energy sources, making the large-scale adoption of wind energy crucial for mitigating environmental impact. However, the inherent uncertainty of wind…

Machine Learning · Computer Science 2024-10-18 Chongyang Wan , Shunbo Lei , Yuan Luo

Seasonal forecasting remains challenging due to the inherent chaotic nature of atmospheric dynamics. This paper introduces DeepSeasons, a novel deep learning approach designed to enhance the accuracy and reliability of seasonal forecasts.…

Atmospheric and Oceanic Physics · Physics 2025-09-16 A. Navarra , G. G. Navarra

Parametric differential equations of the form du/dt = f(u, x, t, p) are fundamental in science and engineering. While deep learning frameworks such as the Fourier Neural Operator (FNO) can efficiently approximate solutions, they struggle…

Machine Learning · Computer Science 2025-06-03 Abdolmehdi Behroozi , Chaopeng Shen and , Daniel Kifer

Explosive growth in spatio-temporal data and its wide range of applications have attracted increasing interests of researchers in the statistical and machine learning fields. The spatio-temporal regression problem is of paramount importance…

Machine Learning · Computer Science 2020-09-15 Aniruddha Rajendra Rao , Qiyao Wang , Haiyan Wang , Hamed Khorasgani , Chetan Gupta

The long horizon forecasting (LHF) problem has come up in the time series literature for over the last 35 years or so. This review covers aspects of LHF in this period and how deep learning has incorporated variants of trend, seasonality,…

Machine Learning · Computer Science 2025-06-17 Hans Krupakar , Kandappan V A

Despite the advances in the field of solar energy, improvements of solar forecasting techniques, addressing the intermittent electricity production, remain essential for securing its future integration into a wider energy supply. A…

Computer Vision and Pattern Recognition · Computer Science 2020-05-25 Quentin Paletta , Joan Lasenby

The last decade has seen the success of stochastic parameterizations in short-term, medium-range and seasonal forecasts: operational weather centers now routinely use stochastic parameterization schemes to better represent model inadequacy…

Global ambient air pollution, a transboundary challenge, is typically addressed through interventions relying on data from spatially sparse and heterogeneously placed monitoring stations. These stations often encounter temporal data gaps…

Machine Learning · Computer Science 2024-02-19 Liam J Berrisford , Hugo Barbosa , Ronaldo Menezes

This research investigates the application of Multigrid Neural Operator (MgNO), a neural operator architecture inspired by multigrid methods, in the simulation for multiphase flow within porous media. The architecture is adjusted to manage…

Computational Engineering, Finance, and Science · Computer Science 2024-07-04 Xinliang Liu , Xia Yang , Chen-Song Zhang , Lian Zhang , Li Zhao

Data assimilation (DA) improves prediction of chaotic systems by combining model forecasts with sparse, noisy observations. Many DA methods are inherently probabilistic, but accurate probabilistic DA is often computationally expensive…

Fluid Dynamics · Physics 2026-04-24 Aditya Sai Pranith Ayapilla , Kazuya Miyashita , Yuki Yasuda , Ryo Onishi

Storm surges can give rise to extreme floods in coastal areas. The Norwegian Meteorological Institute produces 120-hour regional operational storm surge forecasts along the coast of Norway based on the Regional Ocean Modeling System (ROMS),…

Atmospheric models used for weather and climate prediction are traditionally formulated in a deterministic manner. In other words, given a particular state of the resolved scale variables, the most likely forcing from the sub-grid scale…

Machine Learning · Computer Science 2024-02-16 Hannah M. Christensen , Salah Kouhen , Greta Miller , Raghul Parthipan

Stochastic methods are a crucial area in contemporary climate research and are increasingly being used in comprehensive weather and climate prediction models as well as reduced order climate models. Stochastic methods are used as…

Atmospheric and Oceanic Physics · Physics 2020-11-16 Christian L. E. Franzke , Terence J. O'Kane , Judith Berner , Paul D. Williams , Valerio Lucarini
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