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Reduced-order dynamical models play a central role in developing our understanding of predictability of climate irrespective of whether we are dealing with the actual climate system or surrogate climate-models. In this context, the…

地球物理 · 物理学 2021-03-11 B. T. Nadiga

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

The prediction of time series is a challenging task relevant in such diverse applications as analyzing financial data, forecasting flow dynamics or understanding biological processes. Especially chaotic time series that depend on a long…

机器学习 · 计算机科学 2024-12-06 Johannes Viehweg , Dominik Walther , Patrick Mäder

Reservoir computing (RC) systems can efficiently forecast chaotic time series using nonlinear dynamical properties of an artificial neural network of random connections. The versatility of RC systems has motivated further research on both…

神经与进化计算 · 计算机科学 2024-02-07 Ivan S. Maksymov

Echo state property (ESP) is a fundamental property that allows an input-driven dynamical system to perform information processing tasks. Recently, extensions of ESP to potentially nonstationary systems and subsystems, that is,…

量子物理 · 物理学 2024-09-24 Shumpei Kobayashi , Quoc Hoan Tran , Kohei Nakajima

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…

Quantum reservoir computing exploits fixed quantum dynamics and a trainable linear readout to process temporal data, yet reversing the transformation -- reconstructing the input from the reservoir output -- has been considered intractable…

量子物理 · 物理学 2026-03-18 Hikaru Wakaura , Taiki Tanimae

Mechanical systems exhibit complex dynamical behavior from harmonic oscillations to chaotic motion. The dynamics undergo qualitative changes due to changes to internal system parameters like stiffness and changes to external forcing.…

混沌动力学 · 物理学 2024-12-06 Manish Yadav , Swati Chauhan , Manish Dev Shrimali , Merten Stender

Forecasting nonlinear time series with multi-scale temporal structures remains a central challenge in complex systems modeling. We present a novel reservoir computing framework that combines delay embedding with random Fourier feature (RFF)…

神经与进化计算 · 计算机科学 2025-11-20 S. K. Laha

The optimization of robust quantum control is often tailored to specific tasks and suffers from inefficiencies due to the complexity of cost functions. Our recent findings indicate a highly effective methodology for the engineering of…

量子物理 · 物理学 2025-01-10 Huiqi Xue , Xiu-Hao Deng

Deep learning techniques have shown promise in many domain applications. This paper proposes a novel deep reservoir computing framework, termed deep recurrent stochastic configuration network (DeepRSCN) for modelling nonlinear dynamic…

机器学习 · 计算机科学 2024-10-29 Gang Dang , Dianhui Wang

Quantum machine learning uses principles from quantum mechanics to process data, offering potential advances in speed and performance. However, previous work has shown that these models are susceptible to attacks that manipulate input data…

While there have been many publications on potential applications of chaos to fields such as communications, radar, sonar, random signal generation, channel equalization and others, designing continuous chaotic systems is still an unsolved…

信号处理 · 电气工程与系统科学 2022-10-14 Thomas L. Carroll

This work advances the theoretical foundations of reservoir computing (RC) by providing a unified treatment of fading memory and the echo state property (ESP) in both deterministic and stochastic settings. We investigate state-space…

机器学习 · 统计学 2026-05-15 Juan-Pablo Ortega , Florian Rossmannek

Quantum Reservoir Computing (QRC) leverages the natural dynamics of quantum systems for information processing, without requiring a fault-tolerant quantum computer. In this work, we apply QRC within a hybrid quantum classical framework for…

量子物理 · 物理学 2025-12-23 Soumyadip Das , Luke Antoncich , Jingbo B. Wang

If a quantum computer is stabilized by fault-tolerant quantum error correction (QEC), then most of its resources (qubits and operations) are dedicated to the extraction of error information. Analysis of this process leads to a set of…

量子物理 · 物理学 2007-05-23 Andrew M. Steane

Reservoir computing (RC) is a novel approach to time series prediction using recurrent neural networks. In RC, an input signal perturbs the intrinsic dynamics of a medium called a reservoir. A readout layer is then trained to reconstruct a…

神经与进化计算 · 计算机科学 2014-01-13 Alireza Goudarzi , Peter Banda , Matthew R. Lakin , Christof Teuscher , Darko Stefanovic

Quantum reservoir computing (QRC) has emerged as a promising paradigm for harnessing near-term quantum devices to tackle temporal machine learning tasks. Yet identifying the mechanisms that underlie enhanced performance remains challenging,…

量子物理 · 物理学 2025-01-14 Krai Cheamsawat , Thiparat Chotibut

This paper applies a quantum machine learning technique to predict mobile users' trajectories in mobile wireless networks using an approach called quantum reservoir computing (QRC). Mobile users' trajectories prediction belongs to the task…

网络与互联网体系结构 · 计算机科学 2023-01-24 Zoubeir Mlika , Soumaya Cherkaoui , Jean Frédéric Laprade , Simon Corbeil-Letourneau

The potential advantage of machine learning in quantum computers is a topic of intense discussion in the literature. Theoretical, numerical and experimental explorations will most likely be required to understand its power. There has been…

量子物理 · 物理学 2021-04-05 Abhinav Anand , Jonathan Romero , Matthias Degroote , Alán Aspuru-Guzik