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Motivated by the perspective of advanced time-series prediction and exploitation of Quantum Reservoir Computing (QRC), we explored the design and implementation of a Hybrid Photonic-Quantum Reservoir Computing (HPQRC) paradigm. It brings…

Quantum Physics · Physics 2025-11-13 Oishik Kar , Aswath Babu H

Reservoir computing (RC) can efficiently process time-series data by transferring the input signal to randomly connected recurrent neural networks (RNNs), which are referred to as a reservoir. The high-dimensional representation of…

Machine Learning · Computer Science 2023-01-24 Yusuke Sakemi , Sou Nobukawa , Toshitaka Matsuki , Takashi Morie , Kazuyuki Aihara

Fabrication of devices in industrial plants often includes undergoing quality assurance tests or tests that seek to determine some attributes or capacities of the device. For instance, in testing refrigeration compressors, we want to find…

Other Computer Science · Computer Science 2024-02-29 Eric Aislan Antonelo , Carlos Alberto Flesch , Filipe Schmitz

Reservoir Computing was shown in recent years to be useful as efficient to learn networks in the field of time series tasks. Their randomized initialization, a computational benefit, results in drawbacks in theoretical analysis of large…

Machine Learning · Computer Science 2025-03-21 Johannes Viehweg , Constanze Poll , Patrick Mäder

As an alternative approach for predicting complex dynamical systems where physics-based models are no longer reliable, reservoir computing (RC) has gained popularity. The hybrid approach is considered an interesting option for improving the…

Machine Learning · Computer Science 2025-01-21 Tamon Nakano , Sebastian Baur , Christoph Räth

Physical Reservoir Computing (PRC) is an unconventional computing paradigm, which exploits nonlinear dynamics of reservoir blocks to perform recognition and classification tasks. Here we show with simulations that patterned thin films…

Mesoscale and Nanoscale Physics · Physics 2023-05-18 Md Mahadi Rajib , Walid Al Misba , Md. Fahim F. Chowdhury , Muhammad Sabbir Alam , Jayasimha Atulasimha

We study the problem of finding structured low-rank matrices using nuclear norm regularization where the structure is encoded by a linear map. In contrast to most known approaches for linearly structured rank minimization, we do not (a) use…

Systems and Control · Computer Science 2015-09-09 Adams Wei Yu , Wanli Ma , Yaoliang Yu , Jaime G. Carbonell , Suvrit Sra

While modern multivariate forecasters such as Transformers and GNNs achieve strong benchmark performance, they often suffer from systematic errors at specific variables or horizons and, critically, lack guarantees against performance…

Machine Learning · Computer Science 2026-01-05 Jianxiang Xie , Yuncheng Hua , Mingyue Cheng , Flora Salim , Hao Xue

We study the dependence of the Valid Prediction Time (VPT) of Reservoir Computers (RCs) on hyperparameters including the regularization coefficient, reservoir size, and spectral radius. Under carefully chosen conditions, the RC can achieve…

Neural and Evolutionary Computing · Computer Science 2025-08-12 Lauren A Hurley , Sean E Shaheen

Message passing is a core mechanism in Graph Neural Networks (GNNs), enabling the iterative update of node embeddings by aggregating information from neighboring nodes. Graph Convolutional Networks (GCNs) exemplify this approach by adapting…

Machine Learning · Computer Science 2026-03-26 Mayssa Soussia , Gita Ayu Salsabila , Mohamed Ali Mahjoub , Islem Rekik

This chapter provides a comprehensive survey of the researches and motivations for hardware implementation of reservoir computing (RC) on neuromorphic electronic systems. Due to its computational efficiency and the fact that training…

Emerging Technologies · Computer Science 2020-08-27 Fatemeh Hadaeghi

An iterated multistep forecasting scheme based on recurrent neural networks (RNN) is proposed for the time series generated by causal chains with infinite memory. This forecasting strategy contains, as a particular case, the iterative…

Dynamical Systems · Mathematics 2025-03-21 Lyudmila Grigoryeva , James Louw , Juan-Pablo Ortega

Cubic regularization (CR) is an optimization method with emerging popularity due to its capability to escape saddle points and converge to second-order stationary solutions for nonconvex optimization. However, CR encounters a high sample…

Optimization and Control · Mathematics 2018-10-10 Zhe Wang , Yi Zhou , Yingbin Liang , Guanghui Lan

In recent years, the machine learning community has seen a continuous growing interest in research aimed at investigating dynamical aspects of both training procedures and machine learning models. Of particular interest among recurrent…

Machine Learning · Computer Science 2021-09-01 Pietro Verzelli , Cesare Alippi , Lorenzo Livi

Methods for forecasting time series adhering to linear constraints have seen notable development in recent years, especially with the advent of forecast reconciliation. This paper extends forecast reconciliation to the open question of…

Methodology · Statistics 2025-10-27 Daniele Girolimetto , Anastasios Panagiotelis , Tommaso Di Fonzo , Han Li

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

Classification of multivariate time series (MTS) has been tackled with a large variety of methodologies and applied to a wide range of scenarios. Reservoir Computing (RC) provides efficient tools to generate a vectorial, fixed-size…

Neural and Evolutionary Computing · Computer Science 2020-06-09 Filippo Maria Bianchi , Simone Scardapane , Sigurd Løkse , Robert Jenssen

Reservoir Characterization (RC) can be defined as the act of building a reservoir model that incorporates all the characteristics of the reservoir that are pertinent to its ability to store hydrocarbons and also to produce them.It is a…

Computational Engineering, Finance, and Science · Computer Science 2015-07-23 Soumi Chaki

Reservoir Computing (RC) is a well-known strategy for designing Recurrent Neural Networks featured by striking efficiency of training. The crucial aspect of RC is to properly instantiate the hidden recurrent layer that serves as dynamical…

Machine Learning · Computer Science 2020-06-05 Claudio Gallicchio

Reservoir Computing (RC) is an appealing approach in Machine Learning that combines the high computational capabilities of Recurrent Neural Networks with a fast and easy training method. Likewise, successful implementation of neuro-inspired…

Adaptation and Self-Organizing Systems · Physics 2021-07-13 Guillermo B. Morales , Claudio R. Mirasso , Miguel C. Soriano
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