Communities
Connect sessions
AI calendar
Organizations
Join Slack
Contact Sales
Search
Open menu
Home
Papers
1712.00754
Cited By
v1
v2
v3 (latest)
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
Re-assign community
ArXiv (abs)
PDF
HTML
Papers citing
"Universal discrete-time reservoir computers with stochastic inputs and linear readouts using non-homogeneous state-affine systems"
39 / 39 papers shown
ResCP: Reservoir Conformal Prediction for Time Series Forecasting
Roberto Neglia
Andrea Cini
Michael M. Bronstein
F. Bianchi
AI4TS
231
0
0
06 Oct 2025
A Solvable Molecular Switch Model for Stable Temporal Information Processing
H. I. Nurdin
C. A. Nijhuis
118
0
0
21 Aug 2025
Stochastic dynamics learning with state-space systems
Juan-Pablo Ortega
Florian Rossmannek
150
2
0
11 Aug 2025
State-space systems as dynamic generative models
Proceedings of the Royal Society A (Proc. R. Soc. A), 2024
Juan-Pablo Ortega
Florian Rossmannek
374
4
0
13 Mar 2025
RandNet-Parareal: a time-parallel PDE solver using Random Neural Networks
Neural Information Processing Systems (NeurIPS), 2024
Guglielmo Gattiglio
Lyudmila Grigoryeva
M. Tamborrino
268
5
0
09 Nov 2024
Universality of Real Minimal Complexity Reservoir
AAAI Conference on Artificial Intelligence (AAAI), 2024
Robert Simon Fong
Boyu Li
Peter Tiňo
139
4
0
15 Aug 2024
Fading memory and the convolution theorem
IEEE Transactions on Automatic Control (TAC), 2024
Juan-Pablo Ortega
Florian Rossmannek
415
6
0
14 Aug 2024
Universal randomised signatures for generative time series modelling
Francesca Biagini
Lukas Gonon
Niklas Walter
254
7
0
14 Jun 2024
Stochastic Reservoir Computers
Peter J. Ehlers
H. Nurdin
Daniel Soh
306
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
509
2
0
05 Feb 2024
Refined Kolmogorov Complexity of Analog, Evolving and Stochastic Recurrent Neural Networks
Jérémie Cabessa
Y. Strozecki
116
2
0
29 Sep 2023
Gated recurrent neural networks discover attention
Nicolas Zucchet
Seijin Kobayashi
Yassir Akram
J. Oswald
Maxime Larcher
Angelika Steger
João Sacramento
214
9
0
04 Sep 2023
Simple Cycle Reservoirs are Universal
Journal of machine learning research (JMLR), 2023
Boyu Li
Robert Simon Fong
Peter Tivno
215
11
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
305
21
0
24 Jul 2023
Infinite-dimensional reservoir computing
Neural Networks (Neural Netw.), 2023
Lukas Gonon
Lyudmila Grigoryeva
Juan-Pablo Ortega
274
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
AI4TS
260
14
0
27 Feb 2023
Reservoir kernels and Volterra series
Lukas Gonon
Lyudmila Grigoryeva
Juan-Pablo Ortega
280
10
0
30 Dec 2022
Universal Time-Uniform Trajectory Approximation for Random Dynamical Systems with Recurrent Neural Networks
A. Bishop
182
1
0
15 Nov 2022
Transport in reservoir computing
G. Manjunath
Juan-Pablo Ortega
169
7
0
16 Sep 2022
Universality and approximation bounds for echo state networks with random weights
IEEE Transactions on Neural Networks and Learning Systems (TNNLS), 2022
Zhen Li
Yunfei Yang
256
8
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
421
28
0
31 Jan 2022
Interpretable Design of Reservoir Computing Networks using Realization Theory
Wei Miao
Vignesh Narayanan
Jr-Shin Li
179
6
0
13 Dec 2021
Universal Approximation Under Constraints is Possible with Transformers
Anastasis Kratsios
Behnoosh Zamanlooy
Tianlin Liu
Ivan Dokmanić
305
32
0
07 Oct 2021
Error Bounds of the Invariant Statistics in Machine Learning of Ergodic Itô Diffusions
He Zhang
J. Harlim
Xiantao Li
368
8
0
21 May 2021
Reservoir Computers Modal Decomposition and Optimization
Chad Nathe
Enrico Del Frate
Thomas L. Carroll
L. Pecora
A. Shirin
F. Sorrentino
72
1
0
13 Jan 2021
Fading memory echo state networks are universal
Lukas Gonon
Juan-Pablo Ortega
220
68
0
22 Oct 2020
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
53
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
196
23
0
23 Jul 2020
Memory and forecasting capacities of nonlinear recurrent networks
Lukas Gonon
Lyudmila Grigoryeva
Juan-Pablo Ortega
AI4TS
295
28
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
249
79
0
14 Feb 2020
Temporal Information Processing on Noisy Quantum Computers
Physical Review Applied (PR Applied), 2020
Jiayin Chen
H. Nurdin
N. Yamamoto
188
108
0
26 Jan 2020
Risk bounds for reservoir computing
Lukas Gonon
Lyudmila Grigoryeva
Juan-Pablo Ortega
234
46
0
30 Oct 2019
Adaptive Anomaly Detection in Chaotic Time Series with a Spatially Aware Echo State Network
Niklas Heim
J. Avery
69
20
0
02 Sep 2019
Dynamical Systems as Temporal Feature Spaces
Journal of machine learning research (JMLR), 2019
Peter Tiño
326
26
0
15 Jul 2019
Differentiable reservoir computing
Lyudmila Grigoryeva
Juan-Pablo Ortega
262
46
0
16 Feb 2019
Learning Nonlinear Input-Output Maps with Dissipative Quantum Systems
Jiayin Chen
H. Nurdin
206
55
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
253
124
0
07 Jul 2018
Echo state networks are universal
Lyudmila Grigoryeva
Juan-Pablo Ortega
322
266
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
159
83
0
08 Feb 2018
1
