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El Ni\~no-Southern Oscillation (ENSO) is the most predominant interannual variability in the tropics, significantly impacting global weather and climate. In this paper, a framework of low-order conceptual models for the ENSO is…

Geophysics · Physics 2023-08-09 Nan Chen , Yinling Zhang

El Ni\~no-Southern Oscillation (ENSO) is the most prominent interannual climate variability in the tropics and exhibits diverse features in spatiotemporal patterns. In this paper, a simple multiscale intermediate coupled stochastic model is…

Atmospheric and Oceanic Physics · Physics 2022-06-15 Nan Chen , Xianghui Fang

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

El Ni\~no-Southern Oscillation (ENSO) exhibits diverse characteristics in spatial pattern, peak intensity, and temporal evolution. Here we develop a three-region multiscale stochastic model to show that the observed ENSO complexity can be…

Atmospheric and Oceanic Physics · Physics 2021-04-16 Nan Chen , Xianghui Fang , Jin-Yi Yu

The skill of the statistical as well as physics-based coupled climate models in predicting the El Ni\~no-Southern Oscillation (ENSO) is limited by their inability to represent the observed ENSO nonlinearity. A promising alternative, namely…

Atmospheric and Oceanic Physics · Physics 2017-09-11 Shivsai Ajit Dixit , B N Goswami

The El Ni{~n}o-Southern Oscillation (ENSO) exerts profound influence on global climate variability, yet its prediction remains a grand challenge. Recent advances in deep learning have significantly improved forecasting skill, but the…

Machine Learning · Computer Science 2026-01-06 Yanhai Gan , Yipeng Chen , Ning Li , Xingguo Liu , Junyu Dong , Xianyao Chen

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 non-autonomous stochastic dynamical model approach is developed to describe the seasonal to interannual variability of the El Ni\~no-Southern Oscillation (ENSO). We determine the model coefficients by systematic statistical estimations…

Atmospheric and Oceanic Physics · Physics 2020-12-21 L. T. Giorgini , W. Moon , N. Chen , J. S. Wettlaufer

Accurate long-range forecasting of the El \Nino-Southern Oscillation (ENSO) is vital for global climate prediction and disaster risk management. Yet, limited understanding of ENSO's physical mechanisms constrains both numerical and deep…

The El Ni\~no-Southern Oscillation (ENSO) is a fluctuation in sea surface temperature (SST) and pressure across the equatorial Pacific Ocean with a period of 2-7 years. As the largest mode of interannual variability on Earth, ENSO shapes…

Atmospheric and Oceanic Physics · Physics 2026-03-05 PJ Tuckman , Da Yang

Despite advances in climate modeling, simulating the El Ni\~no-Southern Oscillation (ENSO) remains challenging due to its spatiotemporal diversity and complexity. To address this, we build upon existing model hierarchies to develop a new…

Atmospheric and Oceanic Physics · Physics 2025-03-27 Jinyu Wang , Xianghui Fang , Nan Chen , Bo Qin , Mu Mu , Chaopeng Ji

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

We apply a test for low-dimensional, deterministic dynamics to the Nino 3 time series for the El Nino Southern Oscillation (ENSO). The test is negative, indicating that the dynamics is high-dimensional/stochastic. However, application of…

Atmospheric and Oceanic Physics · Physics 2015-06-05 Tatjana Zivkovic , Kristoffer Rypdal

Modeling car-following behavior is fundamental to microscopic traffic simulation, yet traditional deterministic models often fail to capture the full extent of variability and unpredictability in human driving. While many modern approaches…

Applications · Statistics 2026-01-30 Chengyuan Zhang , Zhengbing He , Cathy Wu , Lijun Sun

Understanding the interactions between the El Nino-Southern Oscillation (ENSO) and the Madden-Julian Oscillation (MJO) is essential to studying climate variabilities and predicting extreme weather events. Here, we develop a stochastic…

Atmospheric and Oceanic Physics · Physics 2024-11-11 Charlotte Moser , Nan Chen , Yinling Zhang

Stochastic processes have found numerous applications in science, as they are broadly used to model a variety of natural phenomena. Due to their intrinsic randomness and uncertainty, they are, however, difficult to characterize. Here, we…

While deep-learning models have demonstrated skillful El Ni\~no Southern Oscillation (ENSO) forecasts up to one year in advance, they are predominantly trained on climate model simulations that provide thousands of years of training data at…

Machine Learning · Computer Science 2025-04-29 Jakob Schloer , Matthew Newman , Jannik Thuemmel , Antonietta Capotondi , Bedartha Goswami

Discovering the underlying dynamics of complex systems from data is an important practical topic. Constrained optimization algorithms are widely utilized and lead to many successes. Yet, such purely data-driven methods may bring about…

Dynamical Systems · Mathematics 2023-05-17 Nan Chen , Yinling Zhang

The Earth's climate system is a classical example of a multiscale, multiphysics dynamical system with an extremely large number of active degrees of freedom, exhibiting variability on scales ranging from micrometers and seconds in cloud…

Atmospheric and Oceanic Physics · Physics 2022-01-19 Gary Froyland , Dimitrios Giannakis , Benjamin Lintner , Maxwell Pike , Joanna Slawinska

We consider a highly idealized model for El Nino/Southern Oscillation (ENSO) variability, as introduced in an earlier paper. The model is governed by a delay differential equation for sea surface temperature in the Tropical Pacific, and it…

Atmospheric and Oceanic Physics · Physics 2011-01-13 Ilya Zaliapin , Michael Ghil
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