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Backpropagation Algorithms and Reservoir Computing in Recurrent Neural
  Networks for the Forecasting of Complex Spatiotemporal Dynamics

Backpropagation Algorithms and Reservoir Computing in Recurrent Neural Networks for the Forecasting of Complex Spatiotemporal Dynamics

9 October 2019
Pantelis R. Vlachas
Jaideep Pathak
Brian R. Hunt
T. Sapsis
M. Girvan
Edward Ott
Petros Koumoutsakos
    AI4TS
ArXivPDFHTML

Papers citing "Backpropagation Algorithms and Reservoir Computing in Recurrent Neural Networks for the Forecasting of Complex Spatiotemporal Dynamics"

50 / 122 papers shown
Title
Context parroting: A simple but tough-to-beat baseline for foundation models in scientific machine learning
Context parroting: A simple but tough-to-beat baseline for foundation models in scientific machine learning
Yuanzhao Zhang
William Gilpin
AI4TS
27
0
0
16 May 2025
On the emergence of numerical instabilities in Next Generation Reservoir Computing
On the emergence of numerical instabilities in Next Generation Reservoir Computing
Edmilson Roque dos Santos
Erik Bollt
34
0
0
01 May 2025
All Optical Echo State Network Reservoir Computing
All Optical Echo State Network Reservoir Computing
Ishwar S Kaushik
Peter J. Ehlers
Daniel Soh
38
0
0
11 Apr 2025
Incorporating Coupling Knowledge into Echo State Networks for Learning Spatiotemporally Chaotic Dynamics
Incorporating Coupling Knowledge into Echo State Networks for Learning Spatiotemporally Chaotic Dynamics
Kuei-Jan Chu
Nozomi Akashi
Akihiro Yamamoto
37
0
0
02 Apr 2025
Detecting Financial Fraud with Hybrid Deep Learning: A Mix-of-Experts Approach to Sequential and Anomalous Patterns
Detecting Financial Fraud with Hybrid Deep Learning: A Mix-of-Experts Approach to Sequential and Anomalous Patterns
Diego Vallarino
25
1
0
01 Apr 2025
Data-Driven Forecasting of High-Dimensional Transient and Stationary Processes via Space-Time Projection
Data-Driven Forecasting of High-Dimensional Transient and Stationary Processes via Space-Time Projection
Oliver T. Schmidt
AI4TS
36
1
0
31 Mar 2025
Thermalizer: Stable autoregressive neural emulation of spatiotemporal chaos
Thermalizer: Stable autoregressive neural emulation of spatiotemporal chaos
Chris Pedersen
L. Zanna
Joan Bruna
55
2
0
24 Mar 2025
Reservoir Network with Structural Plasticity for Human Activity Recognition
Abdullah M. Zyarah
Alaa M. Abdul-Hadi
Dhireesha Kudithipudi
31
3
0
01 Mar 2025
State-space models are accurate and efficient neural operators for dynamical systems
State-space models are accurate and efficient neural operators for dynamical systems
Zheyuan Hu
Nazanin Ahmadi Daryakenari
Qianli Shen
Kenji Kawaguchi
George Karniadakis
Mamba
AI4CE
75
13
0
28 Jan 2025
On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions
On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions
Jake Buzhardt
C. Ricardo Constante-Amores
Michael D. Graham
73
2
0
20 Nov 2024
A scalable generative model for dynamical system reconstruction from
  neuroimaging data
A scalable generative model for dynamical system reconstruction from neuroimaging data
Eric Volkmann
Alena Brändle
Daniel Durstewitz
G. Koppe
AI4CE
33
2
0
05 Nov 2024
Reconstructing dynamics from sparse observations with no training on
  target system
Reconstructing dynamics from sparse observations with no training on target system
Zheng-Meng Zhai
Jun-Yin Huang
Benjamin D. Stern
Y. Lai
35
1
0
28 Oct 2024
Almost-Linear RNNs Yield Highly Interpretable Symbolic Codes in
  Dynamical Systems Reconstruction
Almost-Linear RNNs Yield Highly Interpretable Symbolic Codes in Dynamical Systems Reconstruction
Manuel Brenner
Christoph Jürgen Hemmer
Zahra Monfared
Daniel Durstewitz
AI4CE
43
2
0
18 Oct 2024
Poisson-Dirac Neural Networks for Modeling Coupled Dynamical Systems
  across Domains
Poisson-Dirac Neural Networks for Modeling Coupled Dynamical Systems across Domains
Razmik Arman Khosrovian
Takaharu Yaguchi
Hiroaki Yoshimura
Takashi Matsubara
AI4CE
29
0
0
15 Oct 2024
Asymmetrically connected reservoir networks learn better
Asymmetrically connected reservoir networks learn better
Shailendra K. Rathor
Martin Ziegler
Jörg Schumacher
11
0
0
01 Oct 2024
Stability analysis of chaotic systems in latent spaces
Stability analysis of chaotic systems in latent spaces
Elise Özalp
Luca Magri
49
3
0
01 Oct 2024
Zero-shot forecasting of chaotic systems
Zero-shot forecasting of chaotic systems
Yuanzhao Zhang
William Gilpin
AI4TS
42
6
0
24 Sep 2024
Hardware-Friendly Implementation of Physical Reservoir Computing with
  CMOS-based Time-domain Analog Spiking Neurons
Hardware-Friendly Implementation of Physical Reservoir Computing with CMOS-based Time-domain Analog Spiking Neurons
Nanako Kimura
Ckristian Duran
Zolboo Byambadorj
Ryosho Nakane
Tetsuya Iizuka
22
0
0
18 Sep 2024
On latent dynamics learning in nonlinear reduced order modeling
On latent dynamics learning in nonlinear reduced order modeling
N. Farenga
S. Fresca
Simone Brivio
Andrea Manzoni
AI4CE
41
1
0
27 Aug 2024
4D-Var using Hessian approximation and backpropagation applied to
  automatically-differentiable numerical and machine learning models
4D-Var using Hessian approximation and backpropagation applied to automatically-differentiable numerical and machine learning models
Kylen Solvik
Stephen G. Penny
Stephan Hoyer
26
2
0
05 Aug 2024
Higher order quantum reservoir computing for non-intrusive reduced-order
  models
Higher order quantum reservoir computing for non-intrusive reduced-order models
Saloua Naama
R. Maulik
21
0
0
31 Jul 2024
Machine Learning for Predicting Chaotic Systems
Machine Learning for Predicting Chaotic Systems
Christof Schötz
Alistair J R White
Maximilian Gelbrecht
Niklas Boers
AI4CE
41
4
0
29 Jul 2024
Weak baselines and reporting biases lead to overoptimism in machine
  learning for fluid-related partial differential equations
Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations
N. McGreivy
Ammar Hakim
AI4CE
39
43
0
09 Jul 2024
Temporal Convolution Derived Multi-Layered Reservoir Computing
Temporal Convolution Derived Multi-Layered Reservoir Computing
Johannes Viehweg
Dominik Walther
Prof. Dr. -Ing. Patrick Mäder
AI4TS
27
1
0
09 Jul 2024
Exploiting Heterogeneity in Timescales for Sparse Recurrent Spiking
  Neural Networks for Energy-Efficient Edge Computing
Exploiting Heterogeneity in Timescales for Sparse Recurrent Spiking Neural Networks for Energy-Efficient Edge Computing
Biswadeep Chakraborty
Saibal Mukhopadhyay
38
2
0
08 Jul 2024
On instabilities in neural network-based physics simulators
On instabilities in neural network-based physics simulators
Daniel Floryan
AI4CE
46
2
0
18 Jun 2024
Oscillations enhance time-series prediction in reservoir computing with
  feedback
Oscillations enhance time-series prediction in reservoir computing with feedback
Yuji Kawai
Takashi Morita
Jihoon Park
Minoru Asada
AI4TS
31
1
0
05 Jun 2024
Reservoir Computing Benchmarks: a tutorial review and critique
Reservoir Computing Benchmarks: a tutorial review and critique
Chester Wringe
Martin A. Trefzer
Susan Stepney
24
2
0
10 May 2024
Solving Partial Differential Equations with Equivariant Extreme Learning
  Machines
Solving Partial Differential Equations with Equivariant Extreme Learning Machines
Hans Harder
Jean Rabault
Ricardo Vinuesa
Mikael Mortensen
Sebastian Peitz
46
3
0
29 Apr 2024
Forecasting the Forced van der Pol Equation with Frequent Phase Shifts
  Using Reservoir Computing
Forecasting the Forced van der Pol Equation with Frequent Phase Shifts Using Reservoir Computing
Sho Kuno
Hiroshi Kori
18
0
0
23 Apr 2024
Sparse Spiking Neural Network: Exploiting Heterogeneity in Timescales
  for Pruning Recurrent SNN
Sparse Spiking Neural Network: Exploiting Heterogeneity in Timescales for Pruning Recurrent SNN
Biswadeep Chakraborty
Beomseok Kang
H. Kumar
Saibal Mukhopadhyay
46
8
0
06 Mar 2024
Hybridizing Traditional and Next-Generation Reservoir Computing to
  Accurately and Efficiently Forecast Dynamical Systems
Hybridizing Traditional and Next-Generation Reservoir Computing to Accurately and Efficiently Forecast Dynamical Systems
Ravi Chepuri
Dael Amzalag
Thomas Antonsen
M. Girvan
27
9
0
04 Mar 2024
Out-of-Domain Generalization in Dynamical Systems Reconstruction
Out-of-Domain Generalization in Dynamical Systems Reconstruction
Niclas Alexander Göring
Florian Hess
Manuel Brenner
Zahra Monfared
Daniel Durstewitz
AI4CE
43
12
0
28 Feb 2024
DySLIM: Dynamics Stable Learning by Invariant Measure for Chaotic
  Systems
DySLIM: Dynamics Stable Learning by Invariant Measure for Chaotic Systems
Yair Schiff
Zhong Yi Wan
Jeffrey B. Parker
Stephan Hoyer
Volodymyr Kuleshov
Fei Sha
Leonardo Zepeda-Núñez
36
13
0
06 Feb 2024
RefreshNet: Learning Multiscale Dynamics through Hierarchical Refreshing
RefreshNet: Learning Multiscale Dynamics through Hierarchical Refreshing
Junaid Farooq
Danish Rafiq
Pantelis R. Vlachas
M. A. Bazaz
34
0
0
24 Jan 2024
Small jet engine reservoir computing digital twin
Small jet engine reservoir computing digital twin
Colton J. Wright
Nicholas Biederman
Brian Gyovai
Daniel J. Gauthier
Jay P. Wilhelm
20
0
0
15 Dec 2023
An exact mathematical description of computation with transient
  spatiotemporal dynamics in a complex-valued neural network
An exact mathematical description of computation with transient spatiotemporal dynamics in a complex-valued neural network
Roberto C. Budzinski
Alexandra N. Busch
Samuel Mestern
Erwan Martin
L. Liboni
F. Pasini
Ján Mináč
Todd Coleman
Wataru Inoue
L. Muller
25
4
0
28 Nov 2023
Machine-learning parameter tracking with partial state observation
Machine-learning parameter tracking with partial state observation
Zheng-Meng Zhai
Mohammadamin Moradi
Bryan Glaz
Mulugeta Haile
Ying-Cheng Lai
32
7
0
15 Nov 2023
Bifurcations and loss jumps in RNN training
Bifurcations and loss jumps in RNN training
Lukas Eisenmann
Zahra Monfared
Niclas Alexander Göring
Daniel Durstewitz
24
9
0
26 Oct 2023
Tasks Makyth Models: Machine Learning Assisted Surrogates for Tipping
  Points
Tasks Makyth Models: Machine Learning Assisted Surrogates for Tipping Points
Gianluca Fabiani
N. Evangelou
Tianqi Cui
J. M. Bello-Rivas
Cristina P. Martin-Linares
Constantinos Siettos
Ioannis G. Kevrekidis
40
2
0
25 Sep 2023
Control-aware echo state networks (Ca-ESN) for the suppression of
  extreme events
Control-aware echo state networks (Ca-ESN) for the suppression of extreme events
A. Racca
Luca Magri
11
2
0
06 Aug 2023
Variability of echo state network prediction horizon for partially
  observed dynamical systems
Variability of echo state network prediction horizon for partially observed dynamical systems
Ajit Mahata
Reetish Padhi
A. Apte
26
1
0
19 Jun 2023
Generalized Teacher Forcing for Learning Chaotic Dynamics
Generalized Teacher Forcing for Learning Chaotic Dynamics
Florian Hess
Zahra Monfared
Manuela Brenner
Daniel Durstewitz
AI4CE
37
31
0
07 Jun 2023
Reconstruction, forecasting, and stability of chaotic dynamics from
  partial data
Reconstruction, forecasting, and stability of chaotic dynamics from partial data
Elise Özalp
G. Margazoglou
Luca Magri
AI4TS
18
10
0
24 May 2023
Temporal Subsampling Diminishes Small Spatial Scales in Recurrent Neural
  Network Emulators of Geophysical Turbulence
Temporal Subsampling Diminishes Small Spatial Scales in Recurrent Neural Network Emulators of Geophysical Turbulence
T. A. Smith
S. Penny
Jason A. Platt
Tse-Chun Chen
27
5
0
28 Apr 2023
Constraining Chaos: Enforcing dynamical invariants in the training of
  recurrent neural networks
Constraining Chaos: Enforcing dynamical invariants in the training of recurrent neural networks
Jason A. Platt
S. Penny
T. A. Smith
Tse-Chun Chen
H. Abarbanel
AI4TS
38
5
0
24 Apr 2023
Adaptive learning of effective dynamics: Adaptive real-time, online
  modeling for complex systems
Adaptive learning of effective dynamics: Adaptive real-time, online modeling for complex systems
Ivica Kicic
Pantelis R. Vlachas
G. Arampatzis
Michail Chatzimanolakis
Leonidas J. Guibas
Petros Koumoutsakos
AI4CE
24
6
0
04 Apr 2023
Model scale versus domain knowledge in statistical forecasting of
  chaotic systems
Model scale versus domain knowledge in statistical forecasting of chaotic systems
W. Gilpin
AI4TS
43
17
0
13 Mar 2023
Learning from Predictions: Fusing Training and Autoregressive Inference
  for Long-Term Spatiotemporal Forecasts
Learning from Predictions: Fusing Training and Autoregressive Inference for Long-Term Spatiotemporal Forecasts
Pantelis R. Vlachas
Petros Koumoutsakos
AI4TS
AI4CE
23
7
0
22 Feb 2023
Physics-Informed Long Short-Term Memory for Forecasting and
  Reconstruction of Chaos
Physics-Informed Long Short-Term Memory for Forecasting and Reconstruction of Chaos
Elise Özalp
G. Margazoglou
Luca Magri
AI4TS
14
3
0
03 Feb 2023
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