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Machine learning models play a vital role in the prediction task in several fields of study. In this work, we utilize the ability of machine learning algorithms to predict the occurrence of extreme events in a nonlinear mechanical system.…

Machine Learning · Computer Science 2021-12-03 J. Meiyazhagan , S. Sudharsan , A. Venkatasen , M. Senthilvelan

To predict rare extreme events using deep neural networks, one encounters the so-called small data problem because even long-term observations often contain few extreme events. Here, we investigate a model-assisted framework where the…

Machine Learning · Computer Science 2022-04-20 Anna Asch , Ethan Brady , Hugo Gallardo , John Hood , Bryan Chu , Mohammad Farazmand

We present a deep neural network for a model-free prediction of a chaotic dynamical system from noisy observations. The proposed deep learning model aims to predict the conditional probability distribution of a state variable. The Long…

Machine Learning · Computer Science 2017-10-05 Kyongmin Yeo

This work proposes an innovative approach using machine learning to predict extreme events in time series of chaotic dynamical systems. The research focuses on the time series of the H\'enon map, a two-dimensional model known for its…

Chaotic Dynamics · Physics 2025-07-11 Alexandre C. Andreani , Bruno R. R. Boaretto , Elbert E. N. Macau

Deep Learning has received increased attention due to its unbeatable success in many fields, such as computer vision, natural language processing, recommendation systems, and most recently in simulating multiphysics problems and predicting…

Machine Learning · Computer Science 2023-12-05 Zakaria Elabid , Tanujit Chakraborty , Abdenour Hadid

Machine learning algorithms have opened a breach in the fortress of the prediction of high-dimensional chaotic systems. Their ability to find hidden correlations in data can be exploited to perform model-free forecasting of spatiotemporal…

Optics · Physics 2022-06-08 S. Coulibaly , F. Bessin , M. G. Clerc , A. Mussot

We develop a deep convolutional neural network (DCNN) based framework for model-free prediction of the occurrence of extreme events both in time ("when") and in space ("where") in nonlinear physical systems of spatial dimension two. The…

Machine Learning · Computer Science 2022-04-01 Junjie Jiang , Zi-Gang Huang , Celso Grebogi , Ying-Cheng Lai

Predicting extreme events in high-dimensional chaotic dynamical systems remains a fundamental challenge, as such events are rare, intermittent, and arise from transient dynamical mechanisms that are difficult to infer from limited…

Machine Learning · Computer Science 2026-03-12 Eirini Katsidoniotaki , Themistoklis P. Sapsis

Machine Learning (ML) inspired algorithms provide a flexible set of tools for analyzing and forecasting chaotic dynamical systems. We here analyze the performance of one algorithm for the prediction of extreme events in the two-dimensional…

Machine Learning · Computer Science 2020-02-25 Martin Lellep , Jonathan Prexl , Moritz Linkmann , Bruno Eckhardt

Because of the impact of extreme heat waves and heat domes on society and biodiversity, their study is a key challenge. We specifically study long-lasting extreme heat waves, which are among the most important for climate impacts. Physics…

Machine Learning · Computer Science 2022-01-14 Valérian Jacques-Dumas , Francesco Ragone , Pierre Borgnat , Patrice Abry , Freddy Bouchet

We propose a recurrent neural network for a "model-free" simulation of a dynamical system with unknown parameters without prior knowledge. The deep learning model aims to jointly learn the nonlinear time marching operator and the effects of…

Machine Learning · Computer Science 2021-03-01 Kyongmin Yeo , Dylan E. C. Grullon , Fan-Keng Sun , Duane S. Boning , Jayant R. Kalagnanam

We demonstrate that a deep learning emulator for chaotic systems can forecast phenomena absent from training data. Using the Kuramoto-Sivashinsky and beta-plane turbulence models, we evaluate the emulator through scenarios probing the…

Machine Learning · Computer Science 2025-03-03 Ira J. S. Shokar , Peter H. Haynes , Rich R. Kerswell

Extreme events are occurrences whose magnitude and potential cause extensive damage on people, infrastructure, and the environment. Motivated by the extreme nature of the current global health landscape, which is plagued by the coronavirus…

Machine Learning · Computer Science 2021-06-14 Nhuong V. Nguyen , Sybille Legitime

Detecting extreme events in large datasets is a major challenge in climate science research. Current algorithms for extreme event detection are build upon human expertise in defining events based on subjective thresholds of relevant…

Computer Vision and Pattern Recognition · Computer Science 2016-05-05 Yunjie Liu , Evan Racah , Prabhat , Joaquin Correa , Amir Khosrowshahi , David Lavers , Kenneth Kunkel , Michael Wehner , William Collins

Modeling high-dimensional, nonlinear dynamic structural systems under natural hazards presents formidable computational challenges, especially when simultaneously accounting for uncertainties in external loads and structural parameters.…

Machine Learning · Computer Science 2026-03-13 Haimiti Atila , Seymour M. J. Spence

We present a deep transformation model for probabilistic regression. Deep learning is known for outstandingly accurate predictions on complex data but in regression tasks, it is predominantly used to just predict a single number. This…

Machine Learning · Statistics 2020-04-02 Beate Sick , Torsten Hothorn , Oliver Dürr

This paper gives an overview on how to develop a dense and deep neural network for making a time series prediction. First, the history and cornerstones in Artificial Intelligence and Machine Learning will be presented. After a short…

Machine Learning · Computer Science 2025-03-11 Bojan Lukić

We propose to use deep learning to estimate parameters in statistical models when standard likelihood estimation methods are computationally infeasible. We show how to estimate parameters from max-stable processes, where inference is…

Methodology · Statistics 2021-08-02 Amanda Lenzi , Julie Bessac , Johann Rudi , Michael L. Stein

The forecasting of high-dimensional, spatiotemporal nonlinear systems has made tremendous progress with the advent of model-free machine learning techniques. However, in real systems it is not always possible to have all the information…

Data Analysis, Statistics and Probability · Physics 2023-06-02 V. A Pammi , M. G. Clerc , S. Coulibaly , S. Barbay

Multiple studies have now demonstrated that machine learning (ML) can give improved skill for predicting or simulating fairly typical weather events, for tasks such as short-term and seasonal weather forecasting, downscaling simulations to…

Atmospheric and Oceanic Physics · Physics 2023-08-30 Peter AG Watson
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