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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…

We propose a physics-informed Echo State Network (ESN) to predict the evolution of chaotic systems. Compared to conventional ESNs, the physics-informed ESNs are trained to solve supervised learning tasks while ensuring that their…

机器学习 · 计算机科学 2020-11-05 Nguyen Anh Khoa Doan , Wolfgang Polifke , Luca Magri

The development of effective explainability tools for Transformers is a crucial pursuit in deep learning research. One of the most promising approaches in this domain is Layer-wise Relevance Propagation (LRP), which propagates relevance…

机器学习 · 计算机科学 2025-06-04 Yarden Bakish , Itamar Zimerman , Hila Chefer , Lior Wolf

Spatio-temporal area-level datasets play a critical role in official statistics, providing valuable insights for policy-making and regional planning. Accurate modeling and forecasting of these datasets can be extremely useful for…

机器学习 · 计算机科学 2026-01-06 Zhenhua Wang , Scott H. Holan , Christopher K. Wikle

In this paper, the performance of three deep learning methods for predicting short-term evolution and for reproducing the long-term statistics of a multi-scale spatio-temporal Lorenz 96 system is examined. The methods are: echo state…

机器学习 · 计算机科学 2020-07-07 Ashesh Chattopadhyay , Pedram Hassanzadeh , Devika Subramanian

Recent advancement in deep-neural network performance led to the development of new state-of-the-art approaches in numerous areas. However, the black-box nature of neural networks often prohibits their use in areas where model…

计算机视觉与模式识别 · 计算机科学 2024-12-13 Davor Vukadin , Petar Afrić , Marin Šilić , Goran Delač

Many natural and physical processes can be understood by analyzing multiple system variables evolving, forming a multivariate time series. Predicting such time series is challenging due to the inherent noise and interdependencies among…

混沌动力学 · 物理学 2025-12-11 S. Hariharan , R. Suresh , V. K. Chandrasekar

Reinforcement learning (RL) policies trained in simulation often suffer from severe performance degradation when deployed in real-world environments due to non-stationary dynamics. While Domain Randomization (DR) and meta-RL have been…

机器学习 · 计算机科学 2026-02-09 Aoi Yoshimura , Gouhei Tanaka

Echo State Networks (ESNs) are simplified recurrent neural network models composed of a reservoir and a linear, trainable readout layer. The reservoir is tunable by some hyper-parameters that control the network behaviour. ESNs are known to…

神经与进化计算 · 计算机科学 2018-11-06 Pietro Verzelli , Lorenzo Livi , Cesare Alippi

In this paper, we tackle the problem of explanations in a deep-learning based model for recommendations by leveraging the technique of layer-wise relevance propagation. We use a Deep Convolutional Neural Network to extract relevant features…

机器学习 · 计算机科学 2018-07-18 Homanga Bharadhwaj

Echo State Networks (ESNs) are a reservoir computing framework widely used for nonlinear time-series prediction. However, despite their effectiveness, randomly initialized reservoirs often contain redundant nodes, leading to unnecessary…

机器学习 · 计算机科学 2026-05-07 Sudip Laudari

Recurrent neural networks (RNNs) are more suitable for learning non-linear dependencies in dynamical systems from observed time series data. In practice all the external variables driving such systems are not known a priori, especially in…

Reinforcement Learning (RL) methods that incorporate deep neural networks (DNN), though powerful, often lack transparency. Their black-box characteristic hinders interpretability and reduces trustworthiness, particularly in critical…

机器学习 · 计算机科学 2025-09-19 Konrad Nowosadko , Franco Ruggeri , Ahmad Terra

This work studies approximation based on single-hidden-layer feedforward and recurrent neural networks with randomly generated internal weights. These methods, in which only the last layer of weights and a few hyperparameters are optimized,…

概率论 · 数学 2021-02-17 Lukas Gonon , Lyudmila Grigoryeva , Juan-Pablo Ortega

Classical methods of solving spatiotemporal dynamical systems include statistical approaches such as autoregressive integrated moving average, which assume linear and stationary relationships between systems' previous outputs. Development…

动力系统 · 数学 2022-02-16 Yonggi Park , Kelum Gajamannage , Dilhani I. Jayathilake , Erik M. Bollt

We propose an innovative design for an optical Echo State Network (ESN), an advanced type of reservoir computer known for its universal computational capabilities. Our design enables an optical implementation of arbitrary ESNs, featuring…

光学 · 物理学 2025-11-17 Ishwar S Kaushik , Peter J Ehlers , Daniel Soh

In the last decade, a new computational paradigm was introduced in the field of Machine Learning, under the name of Reservoir Computing (RC). RC models are neural networks which a recurrent part (the reservoir) that does not participate in…

神经与进化计算 · 计算机科学 2013-04-08 Sebastián Basterrech , Gerardo Rubino

Graph Neural Networks (GNNs) are a popular approach for predicting graph structured data. As GNNs tightly entangle the input graph into the neural network structure, common explainable AI approaches are not applicable. To a large extent,…

This article introduces a robust hybrid method for solving supervised learning tasks, which uses the Echo State Network (ESN) model and the Particle Swarm Optimization (PSO) algorithm. An ESN is a Recurrent Neural Network with the…

神经与进化计算 · 计算机科学 2015-01-05 Sebastián Basterrech , Enrique Alba , Václav Snášel

We introduce WARP (Weight-space Adaptive Recurrent Prediction), a simple yet powerful model that unifies weight-space learning with linear recurrence to redefine sequence modeling. Unlike conventional recurrent neural networks (RNNs) which…