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A hypergraph as a generalization of graphs records higher-order interactions among nodes, yields a more flexible network model, and allows non-linear features for a group of nodes. In this article, we propose a hypergraph echo state network…

Machine Learning · Computer Science 2023-10-17 Justin Lien

Reservoir computing (RC) is a machine learning algorithm that can learn complex time series from data very rapidly based on the use of high-dimensional dynamical systems, such as random networks of neurons, called "reservoirs." To implement…

Machine Learning · Computer Science 2020-12-29 Yusuke Sakemi , Kai Morino , Timothée Leleu , Kazuyuki Aihara

Forecasting chaotic dynamics beyond a few Lyapunov times is difficult because infinitesimal errors grow exponentially. Existing Echo State Networks (ESNs) mitigate this growth but employ reservoirs whose Euclidean geometry is mismatched to…

Machine Learning · Computer Science 2025-10-21 Pradeep Singh , Sutirtha Ghosh , Ashutosh Kumar , Hrishit B P , Balasubramanian Raman

The prediction of material degradation is an important problem to solve in many industries. Environmental conditions, such as humidity and temperature, are important drivers of degradation processes, with corrosion being one of the most…

The El Ni\~{n}o-Southern Oscillation (ENSO) is a dominant mode of interannual climate variability, yet the mechanisms limiting its long-lead predictability remain unclear. Here we develop a physics-guided Deep Echo State Network (DESN) that…

Echo State Networks (ESNs) are recurrent neural networks usually employed for modeling nonlinear dynamic systems with relatively ease of training. By incorporating physical laws into the training of ESNs, Physics-Informed ESNs (PI-ESNs)…

Machine Learning · Computer Science 2025-02-05 Eric Mochiutti , Eric Aislan Antonelo , Eduardo Camponogara

Echo State Networks (ESN) are versatile recurrent neural network models in which the hidden layer remains unaltered during training. Interactions among nodes of this static backbone produce diverse representations of the given stimuli that…

Machine Learning · Computer Science 2022-05-25 Kayson Fakhar , Fatemeh Hadaeghi , Claus C. Hilgetag

The echo state property (ESP) represents a fundamental concept in the reservoir computing (RC) framework that ensures output-only training of reservoir networks by being agnostic to the initial states and far past inputs. However, the…

Quantum Physics · Physics 2024-09-04 Shumpei Kobayashi , Quoc Hoan Tran , Kohei Nakajima

Making accurate predictions of chaotic time series is a complex challenge. Reservoir computing, a neuromorphic-inspired approach, has emerged as a powerful tool for this task. It exploits the memory and nonlinearity of dynamical systems…

Machine Learning · Computer Science 2025-05-26 Rodrigo Martínez-Peña , Román Orús

Time series modeling has entered an era of unprecedented growth in the size and complexity of data which require new modeling approaches. While many new general purpose machine learning approaches have emerged, they remain poorly understand…

Machine Learning · Statistics 2020-11-02 Matthew F Dixon

An approach to the time-accurate prediction of chaotic solutions is by learning temporal patterns from data. Echo State Networks (ESNs), which are a class of Reservoir Computing, can accurately predict the chaotic dynamics well beyond the…

Machine Learning · Computer Science 2021-03-16 Alberto Racca , Luca Magri

Reservoir computing is a computational framework suited for temporal/sequential data processing. It is derived from several recurrent neural network models, including echo state networks and liquid state machines. A reservoir computing…

Recurrent neural networks are used to forecast time series in finance, climate, language, and from many other domains. Reservoir computers are a particularly easily trainable form of recurrent neural network. Recently, a "next-generation"…

Machine Learning · Computer Science 2023-03-28 Sarah E. Marzen , Paul M. Riechers , James P. Crutchfield

Event-based cameras are inspired by the sparse and asynchronous spike representation of the biological visual system. However, processing the event data requires either using expensive feature descriptors to transform spikes into frames, or…

Computer Vision and Pattern Recognition · Computer Science 2024-05-28 Sangmin Yoo , Eric Yeu-Jer Lee , Ziyu Wang , Xinxin Wang , Wei D. Lu

Dense stereo matching with deep neural networks is of great interest to the research community. Existing stereo matching networks typically use slow and computationally expensive 3D convolutions to improve the performance, which is not…

Computer Vision and Pattern Recognition · Computer Science 2021-03-09 Zhengyu Huang , Theodore B. Norris , Panqu Wang

The immense computational cost of traditional numerical weather and climate models has sparked the development of machine learning (ML) based emulators. Because ML methods benefit from long records of training data, it is common to use…

Machine Learning · Computer Science 2023-09-25 Timothy A. Smith , Stephen G. Penny , Jason A. Platt , Tse-Chun Chen

Getting a robust time-series clustering with best choice of distance measure and appropriate representation is always a challenge. We propose a novel mechanism to identify the clusters combining learned compact representation of…

Machine Learning · Computer Science 2021-01-12 Soma Bandyopadhyay , Anish Datta , Arpan Pal

Differentiable neural computers extend artificial neural networks with an explicit memory without interference, thus enabling the model to perform classic computation tasks such as graph traversal. However, such models are difficult to…

Machine Learning · Computer Science 2022-06-06 Benjamin Paaßen , Alexander Schulz , Terrence C. Stewart , Barbara Hammer

Recurrent neural networks (RNNs) with rich feature vectors of past values can provide accurate point forecasts for series that exhibit complex serial dependence. We propose two approaches to constructing deep time series probabilistic…

Methodology · Statistics 2023-06-27 Nadja Klein , Michael Stanley Smith , David J. Nott

Reservoir computing is a form of machine learning that utilizes nonlinear dynamical systems to perform complex tasks in a cost-effective manner when compared to typical neural networks. Many recent advancements in reservoir computing, in…

Machine Learning · Computer Science 2025-04-03 Peter J. Ehlers , Hendra I. Nurdin , Daniel Soh
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