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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

Reservoir Computing (RC) is a simple and efficient model-free framework for forecasting the behavior of nonlinear dynamical systems from data. Here, we show that there exist commonly-studied systems for which leading RC frameworks struggle…

Machine Learning · Computer Science 2023-09-27 Yuanzhao Zhang , Sean P. Cornelius

In this work, we propose an algorithm performing short-term predictions of the flux of vehicles on a stretch of road, using past measurements of the flux. This algorithm is based on a physics-aware recurrent neural network. A discretization…

Machine Learning · Computer Science 2023-12-06 Mike Pereira , Annika Lang , Balázs Kulcsár

Reservoir computing is a powerful machine learning paradigm for online time series processing. It has reached state-of-the-art performance in tasks such as chaotic time series prediction and continuous speech recognition thanks to its…

Quantum Physics · Physics 2021-08-03 Johannes Nokkala

Surrogate modeling of non-linear oscillator networks remains challenging due to discrepancies between simplified analytical models and real-world complexity. To bridge this gap, we investigate hybrid reservoir computing, combining reservoir…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Andrew Shannon , Conor Houghton , David Barton , Martin Homer

Predicting traffic conditions has been recently explored as a way to relieve traffic congestion. Several pioneering approaches have been proposed based on traffic observations of the target location as well as its adjacent regions, but they…

Artificial Intelligence · Computer Science 2023-08-22 Xingyi Cheng , Ruiqing Zhang , Jie Zhou , Wei Xu

Probabilistic vehicle trajectory prediction is essential for robust safety of autonomous driving. Current methods for long-term trajectory prediction cannot guarantee the physical feasibility of predicted distribution. Moreover, their…

Machine Learning · Computer Science 2019-11-13 Chen Tang , Jianyu Chen , Masayoshi Tomizuka

We explore the interplay between two emerging paradigms: reservoir computing and quantum computing. We observe how quantum systems featuring beyond-classical correlations and vast computational spaces can serve as non-trivial,…

We establish the potential of continuous-variable Gaussian states of linear dynamical systems for machine learning tasks. Specifically, we consider reservoir computing, an efficient framework for online time series processing. As a…

Predicting large-scale transportation network traffic has become an important and challenging topic in recent decades. Inspired by the domain knowledge of motion prediction, in which the future motion of an object can be predicted based on…

Machine Learning · Computer Science 2017-05-09 Haiyang Yu , Zhihai Wu , Shuqin Wang , Yunpeng Wang , Xiaolei Ma

We present a risk-aware perimeter-style controller that couples safety and efficiency targets in large, heterogeneous urban traffic networks. The network is compressed into two interacting "reservoirs" whose dynamics follow the Generalized…

Optimization and Control · Mathematics 2025-08-12 Alexander Hammerl , Wenlong Jin , Ravi Seshadri , Thomas Kjær Rasmussen , Otto Anker Nielsen

Reservoir computing is a machine learning framework that exploits nonlinear dynamics, exhibiting significant computational capabilities. One of the defining characteristics of reservoir computing is its low cost and straightforward training…

Machine Learning · Computer Science 2025-01-14 Akane Ookubo , Masanobu Inubushi

Several theoretical works have shown that solitons -- waves that self-maintain constant shape and velocity as they propagate -- can be used as a physical computational reservoir, a concept where machine learning algorithms designed for…

Fluid Dynamics · Physics 2023-06-14 Ivan S. Maksymov , Andrey Pototsky

We propose and demonstrate a nonlinear control method that can be applied to unknown, complex systems where the controller is based on a type of artificial neural network known as a reservoir computer. In contrast to many modern…

Systems and Control · Electrical Eng. & Systems 2020-10-07 Daniel Canaday , Andrew Pomerance , Daniel J Gauthier

Traffic simulators act as an essential component in the operating and planning of transportation systems. Conventional traffic simulators usually employ a calibrated physical car-following model to describe vehicles' behaviors and their…

Artificial Intelligence · Computer Science 2022-07-12 Guanjie Zheng , Hanyang Liu , Kai Xu , Zhenhui Li

Reservoir computing is a relatively recent computational paradigm that originates from a recurrent neural network and is known for its wide range of implementations using different physical technologies. Large reservoirs are very hard to…

Biological neural networks can perform complex computations to predict their environment, far above the limited predictive capabilities of individual neurons. While conventional approaches to understanding these computations often focus on…

Neurons and Cognition · Quantitative Biology 2024-06-28 Hanna M. Tolle , Andrea I Luppi , Anil K. Seth , Pedro A. M. Mediano

Reservoir computing approximation and generalization bounds are proved for a new concept class of input/output systems that extends the so-called generalized Barron functionals to a dynamic context. This new class is characterized by the…

Machine Learning · Computer Science 2023-04-04 Lukas Gonon , Lyudmila Grigoryeva , Juan-Pablo Ortega

We present a novel technique for assessing the dynamics of multiphase fluid flow in the oil reservoir. We demonstrate an efficient workflow for handling the 3D reservoir simulation data in a way which is orders of magnitude faster than the…

Spatiotemporal forecasting has various applications in neuroscience, climate and transportation domain. Traffic forecasting is one canonical example of such learning task. The task is challenging due to (1) complex spatial dependency on…

Machine Learning · Computer Science 2018-02-26 Yaguang Li , Rose Yu , Cyrus Shahabi , Yan Liu
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