Data-driven modelling of brain activity using neural networks, Diffusion Maps, and the Koopman operator
Fuente:
arXiv
Saved in:
| Main Authors: | Gallos, Ioannis K., Lehmberg, Daniel, Dietrich, Felix, Siettos, Constantinos |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Invariant Manifolds of Discrete-time Dynamical Systems with Nonlinear Exosystems via Hybrid Physics-Informed Neural Networks
by: Patsatzis, Dimitrios G., et al.
Published: (2025)
by: Patsatzis, Dimitrios G., et al.
Published: (2025)
A physics-informed neural network method for the approximation of slow invariant manifolds for the general class of stiff systems of ODEs
by: Patsatzis, Dimitrios G., et al.
Published: (2024)
by: Patsatzis, Dimitrios G., et al.
Published: (2024)
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks
by: Chen, Yongsheng, et al.
Published: (2025)
by: Chen, Yongsheng, et al.
Published: (2025)
A data driven Koopman-Schur decomposition for computational analysis of nonlinear dynamics
by: Drmač, Zlatko, et al.
Published: (2023)
by: Drmač, Zlatko, et al.
Published: (2023)
Next Generation Equation-Free Multiscale Modelling of Crowd Dynamics via Machine Learning
by: Alvarez, Hector Vargas, et al.
Published: (2025)
by: Alvarez, Hector Vargas, et al.
Published: (2025)
Localized Dynamic Mode Decomposition with Temporally Adaptive Segmentation
by: Li, Qiuqi, et al.
Published: (2025)
by: Li, Qiuqi, et al.
Published: (2025)
Slow Invariant Manifolds of Singularly Perturbed Systems via Physics-Informed Machine Learning
by: Patsatzis, Dimitrios G., et al.
Published: (2023)
by: Patsatzis, Dimitrios G., et al.
Published: (2023)
Derive boundary conditions for holistic discretisations of Burgers' equation
by: Roberts, A. J.
Published: (2001)
by: Roberts, A. J.
Published: (2001)
Holistic projection of initial conditions onto a finite difference approximation
by: Roberts, A. J.
Published: (2001)
by: Roberts, A. J.
Published: (2001)
A holistic finite difference approach models linear dynamics consistently
by: Roberts, A. J.
Published: (2000)
by: Roberts, A. J.
Published: (2000)
Convergent Methods for Koopman Operators on Reproducing Kernel Hilbert Spaces
by: Boullé, Nicolas, et al.
Published: (2025)
by: Boullé, Nicolas, et al.
Published: (2025)
Phase space integrity in neural network models of Hamiltonian dynamics: A Lagrangian descriptor approach
by: Hasmi, Abrari Noor, et al.
Published: (2026)
by: Hasmi, Abrari Noor, et al.
Published: (2026)
Derivative estimation by RKHS regularization for learning dynamics from time-series data
by: Guo, Hailong, et al.
Published: (2025)
by: Guo, Hailong, et al.
Published: (2025)
Data-driven optimal prediction with control
by: Katrutsa, Aleksandr, et al.
Published: (2024)
by: Katrutsa, Aleksandr, et al.
Published: (2024)
LDMD with Temporally Adaptive Segmentation
by: Li, Qiuqi, et al.
Published: (2025)
by: Li, Qiuqi, et al.
Published: (2025)
From Features to States: Data-Driven Selection of Measured State Variables via RFE-DMDc
by: Wang, Haoyu, et al.
Published: (2025)
by: Wang, Haoyu, et al.
Published: (2025)
Volume-Preserving Transformers for Learning Time Series Data with Structure
by: Brantner, Benedikt, et al.
Published: (2023)
by: Brantner, Benedikt, et al.
Published: (2023)
Adjoint of Least Squares Shadowing: Existence, Uniqueness and Coarse Domain Discretization
by: Thakur, Pranshul, et al.
Published: (2025)
by: Thakur, Pranshul, et al.
Published: (2025)
Entropy based lower dimension bounds for finite-time prediction of Dynamic Mode Decomposition algorithms
by: Hauser, Till, et al.
Published: (2025)
by: Hauser, Till, et al.
Published: (2025)
A stabilized march approach to adjoint-based sensitivity analysis of chaotic flows
by: Thakur, Pranshul, et al.
Published: (2025)
by: Thakur, Pranshul, et al.
Published: (2025)
Learning Iterated Function Systems from Time Series of Partial Observations
by: Gibson, Emilia, et al.
Published: (2025)
by: Gibson, Emilia, et al.
Published: (2025)
Julia sets and bifurcation loci
by: Gauthier, Thomas, et al.
Published: (2024)
by: Gauthier, Thomas, et al.
Published: (2024)
Data-driven discovery of quasiperiodically driven dynamics
by: Das, Suddhasattwa, et al.
Published: (2023)
by: Das, Suddhasattwa, et al.
Published: (2023)
Transformer-based Koopman Autoencoder for Linearizing Fisher's Equation
by: Rana, Kanav Singh, et al.
Published: (2024)
by: Rana, Kanav Singh, et al.
Published: (2024)
Extracting coherent sets in aperiodically driven flows from generators of Mather semigroups
by: Chemnitz, Robin, et al.
Published: (2024)
by: Chemnitz, Robin, et al.
Published: (2024)
Dynamics of Newton-like root finding methods
by: Campos, Beatriz, et al.
Published: (2025)
by: Campos, Beatriz, et al.
Published: (2025)
The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems
by: Mei, Lijie, et al.
Published: (2025)
by: Mei, Lijie, et al.
Published: (2025)
Koopman operators with intrinsic observables in rigged reproducing kernel Hilbert spaces
by: Ishikawa, Isao, et al.
Published: (2024)
by: Ishikawa, Isao, et al.
Published: (2024)
An exponential map free implicit midpoint method for stochastic Lie-Poisson systems
by: Ephrati, Sagy, et al.
Published: (2024)
by: Ephrati, Sagy, et al.
Published: (2024)
Saddle Transport and Chaos in the Double Pendulum
by: Kaheman, Kadierdan, et al.
Published: (2022)
by: Kaheman, Kadierdan, et al.
Published: (2022)
Moduli spaces of polynomial maps and multipliers at small cycles
by: Huguin, Valentin
Published: (2024)
by: Huguin, Valentin
Published: (2024)
KLAP: KYP lemma based low-rank approximation for $\mathcal{H}_2$-optimal passivation
by: Nicodemus, Jonas, et al.
Published: (2025)
by: Nicodemus, Jonas, et al.
Published: (2025)
Model reduction on manifolds: A differential geometric framework
by: Buchfink, Patrick, et al.
Published: (2023)
by: Buchfink, Patrick, et al.
Published: (2023)
Linear Stability Analysis of Physics-Informed Random Projection Neural Networks for ODEs
by: Fabiani, Gianluca, et al.
Published: (2024)
by: Fabiani, Gianluca, et al.
Published: (2024)
On the basins of attraction of a one-dimensional family of root finding algorithms: from Newton to Traub
by: Canela, Jordi, et al.
Published: (2025)
by: Canela, Jordi, et al.
Published: (2025)
Bézier curves and the Takagi function
by: Ptackova, Lenka, et al.
Published: (2024)
by: Ptackova, Lenka, et al.
Published: (2024)
Match-based solution of general parametric eigenvalue problems
by: Pradovera, Davide, et al.
Published: (2023)
by: Pradovera, Davide, et al.
Published: (2023)
Deep-Koopman-KANDy: Dictionary Discovery for Deep-Koopman Operators with Kolmogorov-Arnold Networks for Dynamics
by: Slote, Kevin, et al.
Published: (2026)
by: Slote, Kevin, et al.
Published: (2026)
Computing parameter planes of iterative root-finding methods with several free critical points
by: Campos, Beatriz, et al.
Published: (2024)
by: Campos, Beatriz, et al.
Published: (2024)
Universal approximation property of ODENet and ResNet with a single activation function
by: Kimura, Masato, et al.
Published: (2024)
by: Kimura, Masato, et al.
Published: (2024)
Similar Items
-
Invariant Manifolds of Discrete-time Dynamical Systems with Nonlinear Exosystems via Hybrid Physics-Informed Neural Networks
by: Patsatzis, Dimitrios G., et al.
Published: (2025) -
A physics-informed neural network method for the approximation of slow invariant manifolds for the general class of stiff systems of ODEs
by: Patsatzis, Dimitrios G., et al.
Published: (2024) -
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks
by: Chen, Yongsheng, et al.
Published: (2025) -
A data driven Koopman-Schur decomposition for computational analysis of nonlinear dynamics
by: Drmač, Zlatko, et al.
Published: (2023) -
Next Generation Equation-Free Multiscale Modelling of Crowd Dynamics via Machine Learning
by: Alvarez, Hector Vargas, et al.
Published: (2025)