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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

We propose Echo State Networks (ESNs) to predict the statistics of extreme events in a turbulent flow. We train the ESNs on small datasets that lack information about the extreme events. We asses whether the networks are able to extrapolate…

Fluid Dynamics · Physics 2022-04-13 Alberto Racca , Luca Magri

Extreme events (sometimes also called optical rogue waves), in the form of pulses of extraordinary intensity, are easily observed in its chaotic regime if the Fresnel number of the cavity is high. This result suggests that the nonlinear…

Kerr lens-mode-locked Ti:Sapphire lasers are known to display three coexistent modes of operation, that can be described as: continuous wave (CW), transform limited pulses (P1) and positive chirped pulses (P2). Optical rogue waves, in the…

Optics · Physics 2015-06-19 Alejandro A. Hnilo , Marcelo G. Kovalsky , Jorge R. Tredicce

Traditional microlensing event vetting methods require highly trained human experts, and the process is both complex and time-consuming. This reliance on manual inspection often leads to inefficiencies and constrains the ability to scale…

Forecasting the dynamics of chaotic systems from the analysis of their output signals is a challenging problem with applications in most fields of modern science. In this work, we use a laser model to compare the performance of several…

Chaotic Dynamics · Physics 2019-11-14 Pablo Amil , Miguel C. Soriano , Cristina Masoller

Probabilistic forecasting, i.e. estimating the probability distribution of a time series' future given its past, is a key enabler for optimizing business processes. In retail businesses, for example, forecasting demand is crucial for having…

Artificial Intelligence · Computer Science 2019-02-25 David Salinas , Valentin Flunkert , Jan Gasthaus

Advances in machine learning have revolutionized capabilities in applications ranging from natural language processing to marketing to health care. Here, we demonstrate the efficacy of machine learning in predicting chaotic behavior in…

Soft Condensed Matter · Physics 2020-02-28 Hiromi Yasuda , Koshiro Yamaguchi , Yasuhiro Miyazawa , Richard Wiebe , Jordan R. Raney , Jinkyu Yang

Event time series are sequences of discrete events occurring at irregular time intervals, each associated with a domain-specific observational modality. They are common in domains such as high-energy astrophysics, computational social…

Machine Learning · Computer Science 2025-10-14 Steven Dillmann , Juan Rafael Martínez-Galarza

Autoregressive neural network models have been used successfully for sequence generation, feature extraction, and hypothesis scoring. This paper presents yet another use for these models: allocating more computation to more difficult…

Machine Learning · Computer Science 2020-06-03 Loren Lugosch , Derek Nowrouzezahrai , Brett H. Meyer

We demonstrate that time-delayed nonlinear effects in exciton-polaritons can be used to construct neural networks where information is coded in optical pulses arriving consecutively on the sample. The highly nonlinear effects are induced by…

Rapid development of ultrafast ultraintense laser technologies continues to create opportunities for studying strong-field physics under extreme conditions. However, accurate determination of the spatial and temporal characteristics of a…

Plasma Physics · Physics 2023-01-03 Zhi-Wei Lu , Xin-Di Hou , Feng Wan , Yousef I. Salamin , Chong Lv , Bo Zhang , Fei Wang , Zhong-Feng Xu , Jian-Xing Li

Extreme event are sudden large-amplitude changes in the state or observables of chaotic nonlinear systems, which characterize many scientific phenomena. Because of their violent nature, extreme events typically have adverse consequences,…

Machine Learning · Computer Science 2023-08-08 Alberto Racca , Luca Magri

Neural networks with at least two hidden layers are called deep networks. Recent developments in AI and computer programming in general has led to development of tools such as Tensorflow, Keras, NumPy etc. making it easier to model and draw…

Signal Processing · Electrical Eng. & Systems 2021-03-30 Ruthvik Vaila , Denver Lloyd , Kevin Tetz

Large network logs, recording multivariate time series generated from heterogeneous devices and sensors in a network, can often reveal important information about abnormal activities, such as network intrusions and device malfunctions.…

Machine Learning · Computer Science 2025-06-19 Yijun Lin , Yao-Yi Chiang

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

With the increased complexity of modern computer attacks, there is a need for defenders not only to detect malicious activity as it happens, but also to predict the specific steps that will be taken by an adversary when performing an…

Cryptography and Security · Computer Science 2019-05-27 Yun Shen , Enrico Mariconti , Pierre-Antoine Vervier , Gianluca Stringhini

A central area of research in nonlinear science is the study of instabilities that drive the emergence of extreme events. Unfortunately, experimental techniques for measuring such phenomena often provide only partial characterization. For…

Computational Physics · Physics 2018-06-19 Mikko Närhi , Lauri Salmela , Juha Toivonen , Cyril Billet , John M. Dudley , Goëry Genty

Passive mode-locking critically relies on a saturable loss mechanism to form ultrashort pulses. However, in Kerr-lens mode-locking (KLM), no actual absorption takes place, but rather losses appear due to diffraction, and actual light must…

Optics · Physics 2021-03-10 Idan Parshani , Leon Bello , Mallachi-Elia Meller , Avi Pe'er

Previously, using forward-flux sampling (FFS) and machine learning (ML), we developed multivariate alarm systems to counter rare un-postulated abnormal events. Our alarm systems utilized ML-based predictive models to quantify committer…

Machine Learning · Computer Science 2024-09-04 Vikram Sudarshan , Warren D. Seider