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We propose an approximation of Echo State Networks (ESN) that can be efficiently implemented on digital hardware based on the mathematics of hyperdimensional computing. The reservoir of the proposed integer Echo State Network (intESN) is a…

Neural and Evolutionary Computing · Computer Science 2022-09-02 Denis Kleyko , E. Paxon Frady , Mansour Kheffache , Evgeny Osipov

The goal of this paper is to investigate the theoretical properties, the training algorithm, and the predictive control applications of Echo State Networks (ESNs), a particular kind of Recurrent Neural Networks. First, a condition…

Systems and Control · Computer Science 2019-02-06 Luca Bugliari Armenio , Enrico Terzi , Marcello Farina , Riccardo Scattolini

We develop a semi-analytic formalism for the determination of the evolution of the stellar mass accretion rate for specified density and velocity profiles that emerge from the runaway collapse of a prestellar cloud core. In the early phase,…

Solar and Stellar Astrophysics · Physics 2022-06-29 Indrani Das , Shantanu Basu

The increasing number and precision of measurements of neutron star masses, radii, and, in the near future, moments of inertia offer the possibility of precisely determining the neutron star equation of state. One way to facilitate the…

High Energy Astrophysical Phenomena · Physics 2016-12-14 Carolyn A. Raithel , Feryal Özel , Dimitrios Psaltis

We present a rigorous asymptotic analysis of Echo State Networks (ESNs) in a teacher student setting with a linear teacher with oracle weights. Leveraging random matrix theory, we derive closed form expressions for the asymptotic bias,…

Machine Learning · Statistics 2025-09-29 Yessin Moakher , Malik Tiomoko , Cosme Louart , Zhenyu Liao

Most analytic work to date on protostellar disks has focused on those in isolation from their environments. However, observations are now beginning to probe the earliest, most embedded phases of star formation, during which disks are…

Astrophysics · Physics 2009-11-13 Kaitlin M. Kratter , Christopher D. Matzner , Mark R. Krumholz , .

We present a novel methodology to improve predictions of galaxy formation histories by incorporating semi-stochastic corrections to account for short-timescale variability. Our paper addresses limitations in existing models that capture…

Astrophysics of Galaxies · Physics 2025-07-24 Jayashree Behera , Rita Tojeiro , Harry George Chittenden

With ongoing advancements in nuclear theory and experimentation, together with a growing body of neutron star (NS) observations, a wealth of information on the equation of state (EOS) for matter at extreme densities has become accessible.…

High Energy Astrophysical Phenomena · Physics 2025-07-18 Bhaskar Biswas , Stephan Rosswog

Episodic mass loss is not understood theoretically, neither accounted for in state-of-the-art models of stellar evolution, which has far-reaching consequences for many areas of astronomy. We introduce the ERC-funded ASSESS project…

Solar and Stellar Astrophysics · Physics 2023-08-10 A. Z. Bonanos , G. Maravelias , M. Yang , F. Tramper , S. de Wit , E. Zapartas , K. Antoniadis , E. Christodoulou , G. Munoz-Sanchez

The equation of state of cold supra-nuclear-density matter, such as in neutron stars, is an open question in astrophysics. A promising method for constraining the neutron star equation of state is modelling pulse profiles of thermonuclear…

High Energy Astrophysical Phenomena · Physics 2016-12-28 A. L. Stevens , J. D. Fiege , D. A. Leahy , S. M. Morsink

One of the main challenges in modeling massive stars to the onset of core collapse is the computational bottleneck of nucleosynthesis during advanced burning stages. The number of isotopes formed requires solving a large set of…

A simple, fully connected neural network with a single hidden layer is used to estimate stellar masses for star-forming galaxies. The model is trained on broad-band photometry - from far-ultraviolet to mid-infrared wavelengths - generated…

Instrumentation and Methods for Astrophysics · Physics 2025-07-15 E. Elson

Echo State Networks (ESNs) are a special type of recurrent neural networks (RNNs), in which the input and recurrent connections are traditionally generated randomly, and only the output weights are trained. Despite the recent success of…

Machine Learning · Computer Science 2022-05-11 Peter Steiner , Azarakhsh Jalalvand , Peter Birkholz

We present a physics-informed Bayesian neural-network framework to infer neutron-star equations of state from theoretical priors and to propagate the associated uncertainties to stellar observables. Trained on a large and representative…

High Energy Astrophysical Phenomena · Physics 2026-04-29 J. D. Baker , C. A. Bertulani , R. V. Lobato

Continuous Time Echo State Networks (CTESNs) are a promising yet under-explored surrogate modeling technique for dynamical systems, particularly those governed by stiff Ordinary Differential Equations (ODEs). A key determinant of the…

Computational Engineering, Finance, and Science · Computer Science 2024-01-25 Saakaar Bhatnagar

Modelling the complex physics of the Interstellar Medium (ISM) in the context of large-scale numerical simulations is a challenging task. A number of methods have been proposed to embed a description of the ISM into different codes. We…

Instrumentation and Methods for Astrophysics · Physics 2011-03-03 T. Grassi , E. Merlin , L. Piovan , U. Buonomo , C. Chiosi

We propose automatic speech recognition (ASR) models inspired by echo state network (ESN), in which a subset of recurrent neural networks (RNN) layers in the models are randomly initialized and untrained. Our study focuses on RNN-T and…

Computation and Language · Computer Science 2021-02-19 Harsh Shrivastava , Ankush Garg , Yuan Cao , Yu Zhang , Tara Sainath

Neutron star observables like masses, radii, and tidal deformability are direct probes to the dense matter equation of state~(EoS). A novel deep learning method that optimizes an EoS in the automatic differentiation framework of solving…

High Energy Astrophysical Phenomena · Physics 2023-05-03 Shriya Soma , Lingxiao Wang , Shuzhe Shi , Horst Stöcker , Kai Zhou

Context: Understanding how protostars accrete their mass is a central question of star formation. One aspect of this is trying to understand whether the time evolution of accretion rates in deeply embedded objects is best characterised by a…

Solar and Stellar Astrophysics · Physics 2016-02-17 Søren Frimann , Jes K. Jørgensen , Paolo Padoan , Troels Haugbølle

Recurrent Neural Networks (RNNs) have demonstrated their outstanding ability in sequence tasks and have achieved state-of-the-art in wide range of applications, such as industrial, medical, economic and linguistic. Echo State Network (ESN)…

Machine Learning · Computer Science 2020-12-08 Chenxi Sun , Moxian Song , Shenda Hong , Hongyan Li