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Universal discrete-time reservoir computers with stochastic inputs and linear readouts using non-homogeneous state-affine systems
3 December 2017
Lyudmila Grigoryeva
Juan-Pablo Ortega
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Papers citing
"Universal discrete-time reservoir computers with stochastic inputs and linear readouts using non-homogeneous state-affine systems"
39 / 39 papers shown
Title
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Florian Rossmannek
120
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State-space systems as dynamic generative models
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Florian Rossmannek
366
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RandNet-Parareal: a time-parallel PDE solver using Random Neural Networks
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M. Tamborrino
229
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Universality of Real Minimal Complexity Reservoir
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Boyu Li
Peter Tiňo
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Fading memory and the convolution theorem
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Florian Rossmannek
373
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14 Aug 2024
Universal randomised signatures for generative time series modelling
Francesca Biagini
Lukas Gonon
Niklas Walter
209
5
0
14 Jun 2024
Stochastic Reservoir Computers
Peter J. Ehlers
H. Nurdin
Daniel Soh
252
10
0
20 May 2024
Approximation Rates and VC-Dimension Bounds for (P)ReLU MLP Mixture of Experts
Anastasis Kratsios
Haitz Sáez de Ocáriz Borde
Takashi Furuya
Marc T. Law
MoE
475
2
0
05 Feb 2024
Refined Kolmogorov Complexity of Analog, Evolving and Stochastic Recurrent Neural Networks
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Y. Strozecki
100
1
0
29 Sep 2023
Gated recurrent neural networks discover attention
Nicolas Zucchet
Seijin Kobayashi
Yassir Akram
J. Oswald
Maxime Larcher
Angelika Steger
João Sacramento
195
9
0
04 Sep 2023
Simple Cycle Reservoirs are Universal
Journal of machine learning research (JMLR), 2023
Boyu Li
Robert Simon Fong
Peter Tivno
187
10
0
21 Aug 2023
Universal Approximation Theorem and error bounds for quantum neural networks and quantum reservoirs
IEEE Transactions on Neural Networks and Learning Systems (TNNLS), 2023
Lukas Gonon
A. Jacquier
266
20
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24 Jul 2023
Infinite-dimensional reservoir computing
Neural Networks (Neural Netw.), 2023
Lukas Gonon
Lyudmila Grigoryeva
Juan-Pablo Ortega
241
11
0
02 Apr 2023
A Brief Survey on the Approximation Theory for Sequence Modelling
Journal of Machine Learning (JML), 2023
Hao Jiang
Qianxiao Li
Zhong Li
Shida Wang
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232
14
0
27 Feb 2023
Reservoir kernels and Volterra series
Lukas Gonon
Lyudmila Grigoryeva
Juan-Pablo Ortega
259
9
0
30 Dec 2022
Universal Time-Uniform Trajectory Approximation for Random Dynamical Systems with Recurrent Neural Networks
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161
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0
15 Nov 2022
Transport in reservoir computing
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Juan-Pablo Ortega
156
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0
16 Sep 2022
Universality and approximation bounds for echo state networks with random weights
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Zhen Li
Yunfei Yang
192
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0
12 Jun 2022
Designing Universal Causal Deep Learning Models: The Geometric (Hyper)Transformer
Mathematical Finance (Math. Finance), 2022
Beatrice Acciaio
Anastasis Kratsios
G. Pammer
OOD
361
28
0
31 Jan 2022
Interpretable Design of Reservoir Computing Networks using Realization Theory
Wei Miao
Vignesh Narayanan
Jr-Shin Li
167
6
0
13 Dec 2021
Universal Approximation Under Constraints is Possible with Transformers
Anastasis Kratsios
Behnoosh Zamanlooy
Tianlin Liu
Ivan Dokmanić
288
32
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07 Oct 2021
Error Bounds of the Invariant Statistics in Machine Learning of Ergodic Itô Diffusions
He Zhang
J. Harlim
Xiantao Li
316
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0
21 May 2021
Reservoir Computers Modal Decomposition and Optimization
Chad Nathe
Enrico Del Frate
Thomas L. Carroll
L. Pecora
A. Shirin
F. Sorrentino
47
1
0
13 Jan 2021
Fading memory echo state networks are universal
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Juan-Pablo Ortega
199
69
0
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Discrete-time signatures and randomness in reservoir computing
IEEE Transactions on Neural Networks and Learning Systems (IEEE TNNLS), 2020
Christa Cuchiero
Lukas Gonon
Lyudmila Grigoryeva
Juan-Pablo Ortega
Josef Teichmann
159
52
0
17 Sep 2020
Dimension reduction in recurrent networks by canonicalization
The Journal of Geometric Mechanics (J. Geom. Mech.), 2020
Lyudmila Grigoryeva
Juan-Pablo Ortega
181
22
0
23 Jul 2020
Memory and forecasting capacities of nonlinear recurrent networks
Lukas Gonon
Lyudmila Grigoryeva
Juan-Pablo Ortega
AI4TS
262
27
0
22 Apr 2020
Approximation Bounds for Random Neural Networks and Reservoir Systems
The Annals of Applied Probability (Ann. Appl. Probab.), 2020
Lukas Gonon
Lyudmila Grigoryeva
Juan-Pablo Ortega
232
79
0
14 Feb 2020
Temporal Information Processing on Noisy Quantum Computers
Physical Review Applied (PR Applied), 2020
Jiayin Chen
H. Nurdin
N. Yamamoto
145
105
0
26 Jan 2020
Risk bounds for reservoir computing
Lukas Gonon
Lyudmila Grigoryeva
Juan-Pablo Ortega
222
46
0
30 Oct 2019
Adaptive Anomaly Detection in Chaotic Time Series with a Spatially Aware Echo State Network
Niklas Heim
J. Avery
65
20
0
02 Sep 2019
Dynamical Systems as Temporal Feature Spaces
Journal of machine learning research (JMLR), 2019
Peter Tiño
282
25
0
15 Jul 2019
Differentiable reservoir computing
Lyudmila Grigoryeva
Juan-Pablo Ortega
254
46
0
16 Feb 2019
Learning Nonlinear Input-Output Maps with Dissipative Quantum Systems
Jiayin Chen
H. Nurdin
194
54
0
07 Jan 2019
Reservoir Computing Universality With Stochastic Inputs
IEEE Transactions on Neural Networks and Learning Systems (TNNLS), 2018
Lukas Gonon
Juan-Pablo Ortega
212
124
0
07 Jul 2018
Echo state networks are universal
Lyudmila Grigoryeva
Juan-Pablo Ortega
283
262
0
03 Jun 2018
Using a reservoir computer to learn chaotic attractors, with applications to chaos synchronisation and cryptography
P. Antonik
Marvyn Gulina
J. Pauwels
Serge Massar
143
83
0
08 Feb 2018
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