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This paper explores the problem of training a recurrent neural network from noisy data. While neural network based dynamic predictors perform well with noise-free training data, prediction with noisy inputs during training phase poses a…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Debdipta Goswami

Emergent-scene safety is the key milestone for fully autonomous driving, and reliable on-time prediction is essential to maintain safety in emergency scenarios. However, these emergency scenarios are long-tailed and hard to collect, which…

Computer Vision and Pattern Recognition · Computer Science 2024-05-08 Dingrui Wang , Zheyuan Lai , Yuda Li , Yi Wu , Yuexin Ma , Johannes Betz , Ruigang Yang , Wei Li

Risk assessment for extreme events requires accurate estimation of high quantiles that go beyond the range of historical observations. When the risk depends on the values of observed predictors, regression techniques are used to interpolate…

Methodology · Statistics 2024-11-14 Olivier C. Pasche , Sebastian Engelke

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

Echo State Networks (ESNs) are a class of single-layer recurrent neural networks with randomly generated internal weights, and a single layer of tuneable outer weights, which are usually trained by regularised linear least squares…

Machine Learning · Computer Science 2021-04-07 Allen G Hart , James L Hook , Jonathan H P Dawes

Echo State Networks (ESNs) are typically presented as efficient, readout-trained recurrent models, yet their dynamics and design are often guided by heuristics rather than first principles. We recast ESNs explicitly as state-space models…

Machine Learning · Computer Science 2025-09-05 Pradeep Singh , Balasubramanian Raman

Statistical physics and dynamical systems theory are key tools to study high-impact geophysical events such as temperature extremes, cyclones, thunderstorms, geomagnetic storms and many more. Despite the intrinsic differences between these…

A vast amount of textual web streams is influenced by events or phenomena emerging in the real world. The social web forms an excellent modern paradigm, where unstructured user generated content is published on a regular basis and in most…

Machine Learning · Computer Science 2012-08-15 Vasileios Lampos

We propose a physics-constrained machine learning method-based on reservoir computing- to time-accurately predict extreme events and long-term velocity statistics in a model of turbulent shear flow. The method leverages the strengths of two…

Fluid Dynamics · Physics 2021-04-14 Nguyen Anh Khoa Doan , Wolfgang Polifke , Luca Magri

Extreme events such as earthquakes, floods, and power blackouts often display burst phenomena where multiple extreme events occur in quick succession or in bunches. This study examines bunching of extreme events on a complex network using a…

Physics and Society · Physics 2025-09-24 Sarvesh K. Upadhyay , Vimal Kishore , Sanjay Kumar , R. E. Amritkar

Extreme weather events have significant consequences, dominating the impact of climate on society. While high-resolution weather models can forecast many types of extreme events on synoptic timescales, long-term climatological risk…

Atmospheric and Oceanic Physics · Physics 2023-01-25 Justin Finkel , Edwin P. Gerber , Dorian S. Abbot , Jonathan Weare

In many complex systems, large events are believed to follow power-law, scale-free probability distributions, so that the extreme, catastrophic events are unpredictable. Here, we study coupled chaotic oscillators that display extreme…

Temporal data modelling techniques with neural networks are useful in many domain applications, including time-series forecasting and control engineering. This paper aims at developing a recurrent version of stochastic configuration…

Machine Learning · Computer Science 2025-04-03 Dianhui Wang , Gang Dang

Extreme events have an important role which is sometime catastrophic in a variety of natural phenomena including climate, earthquakes and turbulence, as well as in man-made environments like financial markets. Statistical analysis and…

Chaotic Dynamics · Physics 2009-10-31 Victor S. L'vov , Anna Pomyalov , Itamar Procaccia

Echo state networks (ESNs) are a powerful form of reservoir computing that only require training of linear output weights whilst the internal reservoir is formed of fixed randomly connected neurons. With a correctly scaled connectivity…

Machine Learning · Computer Science 2021-08-03 Luca Manneschi , Matthew O. A. Ellis , Guido Gigante , Andrew C. Lin , Paolo Del Giudice , Eleni Vasilaki

Extreme weather events epitomize high cost: to society through their physical impacts, and to computer servers that simulate them to assess risk and advance physical understanding. It costs hundreds of simulation years to sample a few…

Atmospheric and Oceanic Physics · Physics 2026-04-14 Justin Finkel , Paul A. O'Gorman

Quantifying and predicting rare and extreme events persists as a crucial yet challenging task in understanding complex dynamical systems. Many practical challenges arise from the infrequency and severity of these events, including the…

Machine Learning · Statistics 2025-10-23 Kai Chang , Themistoklis P. Sapsis

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

Extreme events, such as rogue waves, earthquakes and stock market crashes, occur spontaneously in many dynamical systems. Because of their usually adverse consequences, quantification, prediction and mitigation of extreme events are highly…

Chaotic Dynamics · Physics 2018-03-19 Mohammad Farazmand , Themistoklis P. Sapsis

We propose a physics-aware machine learning method to time-accurately predict extreme events in a turbulent flow. The method combines two radically different approaches: empirical modelling based on reservoir computing, which learns the…

Fluid Dynamics · Physics 2019-12-24 Nguyen Anh Khoa Doan , Wolfgang Polifke , Luca Magri