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To facilitate effective decision-making, precipitation datasets should include uncertainty estimates. Quantile regression with machine learning has been proposed for issuing such estimates. Distributional regression offers distinct…

Machine Learning · Computer Science 2025-01-07 Georgia Papacharalampous , Hristos Tyralis , Nikolaos Doulamis , Anastasios Doulamis

In order to improve forecasts, a decisionmaker often combines probabilities given by various sources, such as human experts and machine learning classifiers. When few training data are available, aggregation can be improved by incorporating…

Machine Learning · Computer Science 2012-07-19 Joseph Kahn

To predict the future evolution of dynamical systems purely from observations of the past data is of great potential application. In this work, a new formulated paradigm of reservoir computing is proposed for achieving model-free…

Neural and Evolutionary Computing · Computer Science 2021-10-27 Zhuo Liu , Leisheng Jin

The prediction of stochastic dynamical systems and the capture of dynamical behaviors are profound problems. In this article, we propose a data-driven framework combining Reservoir Computing and Normalizing Flow to study this issue, which…

Dynamical Systems · Mathematics 2023-08-01 Cheng Fang , Yubin Lu , Ting Gao , Jinqiao Duan

Machine learning has become a fundamental approach for modeling, prediction, and control, enabling systems to learn from data and perform complex tasks. Reservoir computing is a machine learning tool that leverages high-dimensional…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Sahand Tangerami , Nicholas A. Mecholsky , Francesco Sorrentino

Ensemble weather forecasts based on multiple runs of numerical weather prediction models typically show systematic errors and require post-processing to obtain reliable forecasts. Accurately modeling multivariate dependencies is crucial in…

Atmospheric and Oceanic Physics · Physics 2024-02-02 Jieyu Chen , Tim Janke , Florian Steinke , Sebastian Lerch

Reservoir computing has proven effective for tasks such as time-series prediction, particularly in the context of chaotic systems. However, conventional reservoir computing frameworks often face challenges in achieving high prediction…

Chaotic Dynamics · Physics 2025-05-28 Felix Köster , Kazutaka Kanno , Atsushi Uchida

Future grid management systems will coordinate distributed production and storage resources to manage, in a cost effective fashion, the increased load and variability brought by the electrification of transportation and by a higher share of…

Applications · Statistics 2020-05-21 Christian Capezza , Biagio Palumbo , Yannig Goude , Simon N. Wood , Matteo Fasiolo

Oil production forecasting is an important step in controlling the cost-effect and monitoring the functioning of petroleum reservoirs. As a result, oil production forecasting makes it easier for reservoir engineers to develop feasible…

Machine Learning · Computer Science 2022-08-15 Akshansh Mishra , Rakesh Morisetty , Rajat Sarawagi

Reservoir computing has emerged as a powerful framework for time series modelling and forecasting including the prediction of discontinuous transitions. However, the mechanism behind its success is not yet fully understood. This letter…

Chaotic Dynamics · Physics 2025-10-16 Dishant Sisodia , Sarika Jalan

We scrutinize the use of machine learning, based on reservoir computing, to build data-driven effective models of multiscale chaotic systems. We show that, for a wide scale separation, machine learning generates effective models akin to…

Adaptation and Self-Organizing Systems · Physics 2020-11-11 Francesco Borra , Angelo Vulpiani , Massimo Cencini

We propose a new reservoir computing method for forecasting high-resolution spatiotemporal datasets. By combining multi-resolution inputs from coarser to finer layers, our architecture better captures both local and global dynamics. Applied…

Machine Learning · Computer Science 2025-10-14 Nicola Alboré , Gabriele Di Antonio , Fabrizio Coccetti , Andrea Gabrielli

Reservoir computing is a very promising approach for the prediction of complex nonlinear dynamical systems. Besides capturing the exact short-term trajectories of nonlinear systems, it has also proved to reproduce its characteristic…

Data Analysis, Statistics and Probability · Physics 2020-06-19 Alexander Haluszczynski , Jonas Aumeier , Joschka Herteux , Christoph Räth

Reservoir computing is a machine learning approach that can generate a surrogate model of a dynamical system. It can learn the underlying dynamical system using fewer trainable parameters and hence smaller training data sets than competing…

Machine Learning · Computer Science 2022-11-23 Daniel J. Gauthier , Ingo Fischer , André Röhm

Improvement of time series forecasting accuracy through combining multiple models is an important as well as a dynamic area of research. As a result, various forecasts combination methods have been developed in literature. However, most of…

Artificial Intelligence · Computer Science 2013-02-28 Ratnadip Adhikari , R. K. Agrawal

In this article, we propose a data-driven methodology for combining the solutions of a set of competing turbulence models. The individual model predictions are linearly combined for providing an ensemble solution accompanied by estimates of…

Fluid Dynamics · Physics 2023-01-24 Maximilien de Zordo-Banliat , Grégory Dergham , Xavier Merle , Paola Cinnella

Logistic models are studied as a tool to convert output from numerical weather forecasting systems (deterministic and ensemble) into probability forecasts for binary events. A logistic model obtains by putting the logarithmic odds ratio…

Atmospheric and Oceanic Physics · Physics 2009-01-29 Jochen Bröcker

The aim of this work was to predict the probability of the spread of rock formations with hydrocarbon-collecting properties in the studied coastal area using a stack of machine learning algorithms and data augmentation and modification…

Geophysics · Physics 2023-01-10 Dmitry Ivlev

Load forecasting is crucial for multiple energy management tasks such as scheduling generation capacity, planning supply and demand, and minimizing energy trade costs. Such relevance has increased even more in recent years due to the…

Machine Learning · Computer Science 2024-08-16 Verónica Álvarez , Santiago Mazuelas , José A. Lozano

The demand of probabilistic time series forecasting has been recently raised in various dynamic system scenarios, for example, system identification and prognostic and health management of machines. To this end, we combine the advances in…

Machine Learning · Computer Science 2022-05-25 Haitao Liu , Changjun Liu , Xiaomo Jiang , Xudong Chen , Shuhua Yang , Xiaofang Wang