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Annual North Atlantic tropical cyclone (TC) counts are frequently modeled as a Poisson process with a state-dependent rate. We provide a lower bound on the forecasting error of this class of models. Remarkably we find that this bound is…

Atmospheric and Oceanic Physics · Physics 2024-10-10 Daniel Wesley , Michael E. Mann , Bhuvnesh Jain , Colin R. Twomey , Shannon Christiansen

Neuroscientists have long criticised deep learning algorithms as incompatible with current knowledge of neurobiology. We explore more biologically plausible versions of deep representation learning, focusing here mostly on unsupervised…

Machine Learning · Computer Science 2016-08-10 Yoshua Bengio , Dong-Hyun Lee , Jorg Bornschein , Thomas Mesnard , Zhouhan Lin

Time series forecasting underpins vital decision-making across various sectors, yet raw predictions from sophisticated models often harbor systematic errors and biases. We examine the Forecast-Then-Optimize (FTO) framework, pioneering its…

Machine Learning · Computer Science 2025-06-17 Jinhang Jiang , Nan Wu , Ben Liu , Mei Feng , Xin Ji , Karthik Srinivasan

This paper extends previous work (Groom et al., \emph{Artif. Intell. Earth Syst.}, 2024) in applying the entropy-optimal Sparse Probabilistic Approximation (eSPA) algorithm to predict ENSO phase, defined by thresholding the Ni\~no3.4 index.…

Computational Physics · Physics 2025-04-02 Michael Groom , Davide Bassetti , Illia Horenko , Terence J. O'Kane

We demonstrate an alternative correlation between the El Ni\~no Southern Oscillation (ENSO) and global temperature variation to that shown by McLean et al. [2009]. We show 50% of the variation in RATPAC-A tropospheric temperature (and 54%…

Atmospheric and Oceanic Physics · Physics 2009-08-14 David R. B. Stockwell , Anthony Cox

Since model bias and associated initialization shock are serious shortcomings that reduce prediction skills in state-of-the-art decadal climate prediction efforts, we pursue a complementary machine-learning-based approach to climate…

Atmospheric and Oceanic Physics · Physics 2022-11-09 Xihaier Luo , Balasubramanya T. Nadiga , Yihui Ren , Ji Hwan Park , Wei Xu , Shinjae Yoo

El Ni\~{n}o-Southern Oscillation (ENSO) is one of the significant climate phenomena, which appears periodically in the tropic Pacific. The intermediate coupled ocean-atmosphere Zebiak-Cane (ZC) model is the first and classical one designed…

Atmospheric and Oceanic Physics · Physics 2023-08-29 Bin Shi , Junjie Ma

Deep learning has achieved remarkable success across many domains, but it has also created a growing demand for interpretability in model predictions. Although many explainable machine learning methods have been proposed, post-hoc…

Machine Learning · Computer Science 2026-01-28 Shijian Xu , Marcello Massimo Negri , Volker Roth

While Deep Neural Networks (DNNs) achieve remarkable performance, their tendency to produce overconfident predictions. Evidential Deep Learning (EDL) mitigates this by formulating predictions as a Dirichlet distribution over class…

Machine Learning · Computer Science 2026-05-27 Jiawei Tang , Xinyan Du , Hui Liu , Junhui Hou , Yuheng Jia

We analyse the transitions between established phases of the El Ni\~no Southern Oscillation (ENSO) by surveying the daily data of the Southern Oscillation Index from an entropic viewpoint using the framework of stochastic Statistical…

Statistical Mechanics · Physics 2025-07-15 Sílvio M. Duarte Queirós

Prediction algorithms, such as deep neural networks (DNNs), are used in many domain sciences to directly estimate internal parameters of interest in simulator-based models, especially in settings where the observations include images or…

Machine Learning · Statistics 2023-11-14 Luca Masserano , Tommaso Dorigo , Rafael Izbicki , Mikael Kuusela , Ann B. Lee

Seasonal climate forecasts are socioeconomically important for managing the impacts of extreme weather events and for planning in sectors like agriculture and energy. Climate predictability on seasonal timescales is tied to boundary effects…

Atmospheric and Oceanic Physics · Physics 2024-06-14 Chenggong Wang , Michael S. Pritchard , Noah Brenowitz , Yair Cohen , Boris Bonev , Thorsten Kurth , Dale Durran , Jaideep Pathak

At the heart of time-series forecasting (TSF) lies a fundamental challenge: how can models efficiently and effectively capture long-range temporal dependencies across ever-growing sequences? While deep learning has brought notable progress,…

Machine Learning · Computer Science 2025-11-18 Hongbo Liu , Jia Xu

The accurate prediction of oceanographic variables is crucial for understanding climate change, managing marine resources, and optimizing maritime activities. Traditional ocean forecasting relies on numerical models; however, these…

Machine Learning · Computer Science 2025-10-30 Víctor Medina , Giovanny A. Cuervo-Londoño , Javier Sánchez

The dynamics of the El Ni\~no-Southern Oscillation (ENSO) are succinctly captured by the Recharge Oscillator (RO) framework. However, to simulate ENSO realistically, careful choices must be made regarding the RO's key parameters. In…

Atmospheric and Oceanic Physics · Physics 2025-09-16 Sooman Han , Alexey Fedorov , Jérôme Vialard

We study the dynamics of the El Nino phenomenon using the mathematical model of delayed-action oscillator (DAO). Topics such as the influence of the annual cycle, global warming, stochastic influences due to weather conditions and even…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Ian Boutle , Richard H. S. Taylor , Rudolf A. Roemer

We present a new approach to forecasting North Pacific Sea Surface Temperatures (SST) by recognizing that interannual variability primarily reflects amplitude changes in four dominant seasonal cycles. Our multivariate linear model…

Atmospheric and Oceanic Physics · Physics 2026-01-06 Rameshan Kallummal

Current time-series forecasting problems use short-term weather attributes as exogenous inputs. However, in specific time-series forecasting solutions (e.g., demand prediction in the supply chain), seasonal climate predictions are crucial…

Machine Learning · Computer Science 2023-09-06 Smit Marvaniya , Jitendra Singh , Nicolas Galichet , Fred Ochieng Otieno , Geeth De Mel , Kommy Weldemariam

Understanding current global climate requires an understanding of trends both in Earth's atmospheric temperature and the El Nino-Southern Oscillation (ENSO), a characteristic large-scale distribution of warm water in the tropical Pacific…

Atmospheric and Oceanic Physics · Physics 2014-02-27 L. M. W. Leggett , D. A. Ball

Climate change is one of the most critical challenges that our planet is facing today. Rising global temperatures are already bringing noticeable changes to Earth's weather and climate patterns with an increased frequency of unpredictable…

Atmospheric and Oceanic Physics · Physics 2024-01-19 Karandeep Singh , Chaeyoon Jeong , Naufal Shidqi , Sungwon Park , Arjun Nellikkattil , Elke Zeller , Meeyoung Cha
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