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Extreme events generated by complex systems have been intensively studied in many fields due to their great impact on scientific research and our daily lives. However, their prediction is still a challenge in spite of the tremendous…

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

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

Ultra-short laser pulses with femtosecond to attosecond pulse duration are the shortest systematic events humans can create. Characterization (amplitude and phase) of these pulses is a key ingredient in ultrafast science, e.g., exploring…

Optics · Physics 2018-03-19 Tom Zahavy , Alex Dikopoltsev , Oren Cohen , Shie Mannor , Mordechai Segev

Deep neural networks trained on physical losses are emerging as promising surrogates of nonlinear numerical solvers. These tools can predict solutions of Maxwell's equations and compute gradients of output fields with respect to the…

Optics · Physics 2023-05-11 Carlo Gigli , Amirhossein Saba , Ahmed Bassam Ayoub , Demetri Psaltis

Forecasting severe weather conditions is still a very challenging and computationally expensive task due to the enormous amount of data and the complexity of the underlying physics. Machine learning approaches and especially deep learning…

Machine Learning · Computer Science 2019-12-09 Christian Schön , Jens Dittrich

We use a supervised machine-learning model based on a neural network to predict the temporal and spectral intensity profiles of the pulses that form upon nonlinear propagation in optical fibers with both normal and anomalous second-order…

Optics · Physics 2020-08-26 Sonia Boscolo , Christophe Finot

We predict the emergence of extreme events in a parametrically driven nonlinear dynamical system using three Deep Learning models, namely Multi-Layer Perceptron, Convolutional Neural Network and Long Short-Term Memory. The Deep Learning…

Machine Learning · Computer Science 2021-08-18 J. Meiyazhagan , S. Sudharsan , M. Senthilvelan

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

Event detection in time series is a challenging task due to the prevalence of imbalanced datasets, rare events, and time interval-defined events. Traditional supervised deep learning methods primarily employ binary classification, where…

Machine Learning · Statistics 2024-09-16 Menouar Azib , Benjamin Renard , Philippe Garnier , Vincent Génot , Nicolas André

Ability of deep networks to extract high level features and of recurrent networks to perform time-series inference have been studied. In view of universality of one hidden layer network at approximating functions under weak constraints, the…

Neural and Evolutionary Computing · Computer Science 2014-12-19 Sharat C. Prasad , Piyush Prasad

Artificial neural networks have revolutionized fields from computer vision to natural language processing, yet their growing energy and computational demands threaten future progress. Optical neural networks promise greater speed,…

Optics · Physics 2025-08-18 Bofeng Liu , Xu Mei , Sadman Shafi , Tunan Xia , Iam-Choon Khoo , Zhiwen Liu , Xingjie Ni

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

Complex systems performing spiking dynamics are widespread in Nature. They cover from earthquakes, to neurons, variable stars, social networks, or stock markets. Understanding and characterizing their dynamics is relevant in order to detect…

Data Analysis, Statistics and Probability · Physics 2017-12-14 Meritxell Colet , Andrés Aragoneses

Atmospheric environments favorable for lightning and convection are commonly represented by proxies or parameterizations based on expert knowledge such as CAPE, wind shears, charge separation, or combinations thereof. Recent developments in…

Atmospheric and Oceanic Physics · Physics 2024-06-26 Gregor Ehrensperger , Thorsten Simon , Georg J. Mayr , Tobias Hell

We present what is to our knowledge the most complete 1-D numerical analysis of the evolution and the propagation dynamics of an ultrashort laser pulse in a Ti:Sapphire laser oscillator. This study confirms the dispersion managed model of…

Optics · Physics 2009-11-11 Marco V. Tognetti , Helder M. Crespo

In this work we demonstrate the efficacy of neural networks in the characterization of dispersive media. We also develop a neural network to make predictions for input probe pulses which propagate through a nonlinear dispersive medium,…

Optics · Physics 2019-12-02 Sanjaya Lohani , Erin M. Knutson , Wenlei Zhang , Ryan T. Glasser

In this paper, we introduce ProNet, an novel deep learning approach designed for multi-horizon time series forecasting, adaptively blending autoregressive (AR) and non-autoregressive (NAR) strategies. Our method involves dividing the…

Machine Learning · Computer Science 2024-08-13 Yang Lin

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

With a great ability to solve regression problems, the artificial neural network has become a powerful tool to facilitate advancing ultrafast laser research. In this contribution, we demonstrate the capability of a feed-forward neural…

Optics · Physics 2024-09-06 Xinyang Liu , Regina Gumenyuk
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