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相关论文: Forecasting Chaotic Systems with Very Low Connecti…

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Reservoir computing (RC) is an effective method for predicting chaotic systems by using a high-dimensional dynamic reservoir with fixed internal weights, while keeping the learning phase linear, which simplifies training and reduces…

The rapidity and low power consumption of superconducting electronics makes them an ideal substrate for physical reservoir computing, which commandeers the computational power inherent to the evolution of a dynamical system for the purposes…

The operating point of a power system may change due to slow enough variations of the power injections. Rotating machines in the bulk system can absorb smooth changes in the dynamic states of the system. In this context, we present a novel…

最优化与控制 · 数学 2024-01-22 Gabriel Intriago , Holger Cevallos , Yu Zhang

Predicting the dynamics of chaotic systems is one of the most challenging tasks for neural networks, and machine learning in general. Here we aim to predict the spatiotemporal chaotic dynamics of a high-dimensional non-linear system. In our…

机器学习 · 计算机科学 2023-09-15 M. Andrecut

Reservoir Computing is a relatively recent computational framework based on a large Recurrent Neural Network with fixed weights. Many physical implementations of Reservoir Computing have been proposed to improve speed and energy efficiency.…

新兴技术 · 计算机科学 2019-09-10 Jonathan Dong , Mushegh Rafayelyan , Florent Krzakala , Sylvain Gigan

Reservoir computing provides a time and cost-efficient alternative to traditional learning methods.Critical regimes, known as the "edge of chaos," have been found to optimize computational performance in binary neural networks. However,…

神经元与认知 · 定量生物学 2023-08-22 Emmanuel Calvet , Jean Rouat , Bertrand Reulet

Reservoir computing is a novel machine learning algorithm that uses a nonlinear dynamical system to efficiently learn complex temporal patterns from data. The objective of this thesis is to investigate the principles of reservoir computing…

量子物理 · 物理学 2023-10-12 Laia Domingo

This paper explores the conditions under which global contraction manifests in the leaky continuous time reservoirs, thus guaranteeing generalized synchronization. Results on continuous time reservoirs make use of the logarithmic norm of…

混沌动力学 · 物理学 2025-01-06 Adrian S. Wong , Robert S. Martin , Daniel Q. Eckhardt

Weather and climate forecasts are inherently uncertain due to chaotic dynamics, imperfect initial conditions, and incomplete representation of the underlying physical processes. Operational ensemble forecasts aim to represent these…

机器学习 · 计算机科学 2026-05-26 Birgit Kühbacher , Daan Crommelin , Niki Kilbertus

Quantum reservoir computing is a machine learning scheme in which a quantum system is used to perform information processing. A prospective approach to its physical realization is a photonic platform in which continuous variable (CV)…

量子物理 · 物理学 2025-10-23 Markku Hahto , Johannes Nokkala

Systems exhibiting nonlinear dynamics, including but not limited to chaos, are ubiquitous across Earth Sciences such as Meteorology, Hydrology, Climate and Ecology, as well as Biology such as neural and cardiac processes. However, System…

机器学习 · 计算机科学 2020-08-14 Nishant Yadav , Sai Ravela , Auroop R. Ganguly

Advances in materials science have led to physical instantiations of self-assembled networks of memristive devices and demonstrations of their computational capability through reservoir computing. Reservoir computing is an approach that…

新兴技术 · 计算机科学 2015-04-28 Jens Bürger , Alireza Goudarzi , Darko Stefanovic , Christof Teuscher

In-materia reservoir computing (RC) leverages the intrinsic physical responses of functional materials to perform complex computational tasks. Magnetic metamaterials are exciting candidates for RC due to their huge state space, nonlinear…

Reservoir computing is a machine learning framework that has been shown to be able to replicate the chaotic attractor, including the fractal dimension and the entire Lyapunov spectrum, of the dynamical system on which it is trained. We…

机器学习 · 计算机科学 2024-03-25 Joseph D. Hart

We numerically investigate a time-delayed reservoir computer architecture based on a single mode laser diode with optical injection and optical feedback. Through a high-resolution parametric analysis, we reveal unforeseen regions of high…

光学 · 物理学 2024-05-14 Lucas Oliverio , Damien Rontani , Marc Sciamanna

Reservoir computers (RC) are a form of recurrent neural network (RNN) used for forecasting time series data. As with all RNNs, selecting the hyperparameters presents a challenge when training on new inputs. We present a method based on…

神经与进化计算 · 计算机科学 2021-04-16 Jason A. Platt , Adrian Wong , Randall Clark , Stephen G. Penny , Henry D. I. Abarbanel

This paper introduces a novel approach to predicting periodic time series using reservoir computing. The model is tailored to deliver precise forecasts of rhythms, a crucial aspect for tasks such as generating musical rhythm. Leveraging…

神经与进化计算 · 计算机科学 2025-01-23 Zhongju Yuan , Geraint Wiggins , Dick Botteldooren

Deploying quantum machine learning on NISQ devices requires architectures where training overhead does not negate computational advantages. We systematically compare two quantum approaches for chaotic time-series prediction on the Lorenz…

量子物理 · 物理学 2026-04-28 Tushar Pandey

Many real-world systems are characterized by stochastic dynamical rules where a complex network of interactions among individual elements probabilistically determines their state. Even with full knowledge of the network structure and of the…

物理与社会 · 物理学 2018-05-15 Filippo Radicchi , Claudio Castellano

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…

量子物理 · 物理学 2021-08-03 Johannes Nokkala