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The El Ni\~no Southern Oscillation (ENSO) is the strongest driver of year-to-year variations of the global climate and can lead to extreme weather conditions and disasters in various regions around the world. Here, we review two different…

Atmospheric and Oceanic Physics · Physics 2023-01-26 J. Ludescher , J. Meng , J. Fan , A. Bunde , H. J. Schellnhuber

El Ni\~no-Southern Oscillation (ENSO) exerts global climate and societal impacts, but real-time prediction with lead times beyond one year remains challenging. Dynamical models suffer from large biases and uncertainties, while deep learning…

Atmospheric and Oceanic Physics · Physics 2025-07-28 Rixu Hao , Yuxin Zhao , Shaoqing Zhang , Guihua Wang , Xiong Deng

An information-theoretic framework is developed to assess the predictability of ENSO complexity, which is a central problem in contemporary meteorology with large societal impacts. The information theory advances a unique way to quantify…

Atmospheric and Oceanic Physics · Physics 2023-04-05 Xianghui Fang , Nan Chen

In recent years, several climate subsystems have been identified that may undergo a relatively rapid transition compared to the changes in their forcing. Such transitions are rare events in general, and simulating long-enough trajectories…

Atmospheric and Oceanic Physics · Physics 2023-06-30 Valérian Jacques-Dumas , René M. van Westen , Freddy Bouchet , Henk A. Dijkstra

The skill of current predictions of the warm phase of the El Ni\~no Southern Oscillation (ENSO) reduces significantly beyond a lag of six months. In this paper, we aim to increase this prediction skill at lags up to one year. The new method…

Atmospheric and Oceanic Physics · Physics 2018-08-15 Peter D. Nooteboom , Qing Yi Feng , Cristóbal López , Emilio Hernández-García , Henk A. Dijkstra

This paper proposes a novel framework for enhancing the prediction accuracy and lead time of El Ni\~no events, crucial for mitigating their global climatic, economic, and societal impacts. Traditional prediction models often rely on oceanic…

Machine Learning · Computer Science 2026-04-08 Viet Trinh , Ha-Vy Luu , Quoc-Khiem Nguyen-Pham , Hung Tong , Thanh-Huyen Tran , Hoai-Nam Nguyen Dang

Atomistic simulations are widely used to investigate reactive processes but are often limited by the rare event problem due to kinetic bottlenecks. We recently introduced an enhanced sampling approach based on the committor function,…

Computational Physics · Physics 2026-03-02 Enrico Trizio , Giorgia Rossi , Michele Parrinello

The quantification of the interannual component of variability in climatological time series is essential for the assessment and prediction of the El Ni\~{n}o - Southern Oscillation phenomenon. This is achieved by estimating the deviation…

Applications · Statistics 2025-11-14 Tommaso Proietti , Alessandro Giovannelli

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

The El Ni\~{n}o-Southern Oscillation (ENSO) is a dominant mode of interannual climate variability, yet the mechanisms limiting its long-lead predictability remain unclear. Here we develop a physics-guided Deep Echo State Network (DESN) that…

Nonlinear regression is a useful statistical tool, relating observed data and a nonlinear function of unknown parameters. When the parameter-dependent nonlinear function is computationally intensive, a straightforward regression analysis by…

Applications · Statistics 2009-01-26 Dorin Drignei , Chris E. Forest , Doug Nychka

The El Ni\~no phenomenon, synonymously El Ni\~no-Southern Oscillation (ENSO), is an anomalous climatic oscillation in the Equatorial Pacific that occurs once every 3-8 years. It affects the earth's climate on a global scale. Whether it is a…

Chaotic Dynamics · Physics 2007-05-23 Debabrata Panja , Gerrit Burgers

We introduce an interpretable-by-design method, optimized model-analog, that integrates deep learning with model-analog forecasting which generates forecasts from similar initial climate states in a repository of model simulations. This…

Atmospheric and Oceanic Physics · Physics 2024-10-10 Kinya Toride , Matthew Newman , Andrew Hoell , Antonietta Capotondi , Jakob Schlör , Dillon J. Amaya

A central object in the computational studies of rare events is the committor function. Though costly to compute, the committor function encodes complete mechanistic information of the processes involving rare events, including reaction…

Statistical Mechanics · Physics 2022-11-23 Muhammad R. Hasyim , Clay H. Batton , Kranthi K. Mandadapu

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

Faithful uncertainty quantification (UQ) is paramount in high stakes climate prediction. Deep ensembles, or ensembles of probabilistic neural networks, are state of the art for UQ in machine learning (ML) and are growing increasingly…

Atmospheric and Oceanic Physics · Physics 2026-03-24 Devin M. McAfee , Elizabeth A. Barnes

Forecasting the El Nino-Southern Oscillation (ENSO) has been a subject of vigorous research due to the important role of the phenomenon in climate dynamics and its worldwide socioeconomic impacts. Over the past decades, numerous models for…

Atmospheric and Oceanic Physics · Physics 2019-12-12 Xinyang Wang , Joanna Slawinska , Dimitrios Giannakis

The accurate long-term forecasting of the El Nino Southern Oscillation (ENSO) is still one of the biggest challenges in climate science. While it is true that short-to medium-range performance has been improved significantly using the…

Atmospheric and Oceanic Physics · Physics 2025-09-09 Saghar Ganji , Mohammad Naisipour , Alireza Hassani , Arash Adib

In recent years, the application of machine learning approaches to time-series forecasting of climate dynamical phenomena has become increasingly active. It is known that applying a band-pass filter to a time-series data is a key to…

Computational Physics · Physics 2025-05-26 Takuya Jinno , Takahito Mitsui , Kengo Nakai , Yoshitaka Saiki , Tsuyoshi Yoneda

The problem of studying rare events is central to many areas of computer simulations. In a recent paper [Kang, P., et al., Nat. Comput. Sci. 4, 451-460, 2024], we have shown that a powerful way of solving this problem passes through the…

Computational Physics · Physics 2026-03-03 Enrico Trizio , Peilin Kang , Michele Parrinello