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Learning Nonlinear Brain Dynamics: van der Pol Meets LSTM
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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Coupled Van der Pol oscillators ? A model of excitatory and inhibitory neural interactions
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Maximum-likelihood recursive nonlinear filtering
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Kalman filter with outliers and missing observations
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The Wilson–Cowan model, 36 years later
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Renormalization of Collective Modes in Large-Scale Neural Dynamics
inferredcites →https://doi.org/10.1016/j.automatica.2008.05.029openalex-snapshot
An inequality constrained nonlinear Kalman–Bucy smoother by interior point likelihood maximization
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Generalized Kalman smoothing: Modeling and algorithms
inferredcites →https://doi.org/10.1016/j.crvi.2003.09.011openalex-snapshot
Is there chaos in the brain? II. Experimental evidence and related models
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Compensation in Preclinical Huntington's Disease: Evidence From the Track-On HD Study
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Dynamic modeling of neuronal responses in fMRI using cubature Kalman filtering
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Impulses and Physiological States in Theoretical Models of Nerve Membrane
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Stability of the Memory of Eye Position in a Recurrent Network of Conductance-Based Model Neurons
inferredcites →https://doi.org/10.1038/nature11057openalex-snapshot
Brain-wide neuronal dynamics during motor adaptation in zebrafish
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A visual motion detection circuit suggested by Drosophila connectomics
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Whole-brain functional imaging at cellular resolution using light-sheet microscopy
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Chronic, wireless recordings of large-scale brain activity in freely moving rhesus monkeys
inferredcites →https://doi.org/10.1038/s41598-019-41345-4openalex-snapshot
Single-trial classification of awareness state during anesthesia by measuring critical dynamics of global brain activity
inferredcites →https://doi.org/10.1063/1.4822950openalex-snapshot
Introduction to Applied Nonlinear Dynamical Systems and Chaos
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Topological sensitivity analysis for systems biology
inferredcites →https://doi.org/10.1073/pnas.97.7.3619openalex-snapshot
Optical probing of neuronal circuits with calcium indicators
inferredcites →https://doi.org/10.1080/01621459.1989.10478794openalex-snapshot
Robustification of Kalman Filter Models
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A penalty method for PDE-constrained optimization in inverse problems
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OnACID: Online Analysis of Calcium Imaging Data in Real Time*
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Estimation of parameters and unobserved components for nonlinear systems from noisy time series
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The marginal likelihood for parameters in a discrete Gauss-Markov process
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Robust estimation with unknown noise statistics
inferredcites →https://doi.org/10.1109/9780470544334.ch9openalex-snapshot
A New Approach to Linear Filtering and Prediction Problems
inferredcites →https://doi.org/10.1109/tac.2011.2141430openalex-snapshot
An $\ell _{1}$-Laplace Robust Kalman Smoother
inferredcites →https://doi.org/10.1109/tac.2017.2754474openalex-snapshot
Efficient Quadratic Penalization Through the Partial Minimization Technique
inferredcites →https://doi.org/10.1111/j.1467-9868.2007.00610.xopenalex-snapshot
Parameter Estimation for Differential Equations: a Generalized Smoothing Approach
inferredcites →https://doi.org/10.1115/1.3658902openalex-snapshot
New Results in Linear Filtering and Prediction Theory
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A New Approach to Linear Filtering and Prediction Problems
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A Spline Least Squares Method for Numerical Parameter Estimation in Differential Equations
inferredcites →https://doi.org/10.1137/130918861openalex-snapshot
Robust and Trend-Following Student's t Kalman Smoothers
inferredcites →https://doi.org/10.1142/s0218127404010345openalex-snapshot
NONLINEAR DYNAMICAL SYSTEM IDENTIFICATION FROM UNCERTAIN AND INDIRECT MEASUREMENTS
inferredcites →https://doi.org/10.1186/1471-2105-7-483openalex-snapshot
Novel metaheuristic for parameter estimation in nonlinear dynamic biological systems
inferredcites →https://doi.org/10.1186/s12918-015-0219-2openalex-snapshot
Robust and efficient parameter estimation in dynamic models of biological systems
inferredcites →https://doi.org/10.1371/journal.pone.0015710openalex-snapshot
Multiplexed Echo Planar Imaging for Sub-Second Whole Brain FMRI and Fast Diffusion Imaging
inferredcites →https://doi.org/10.3389/fbioe.2015.00180openalex-snapshot
Gradient Matching Methods for Computational Inference in Mechanistic Models for Systems Biology: A Review and Comparative Analysis
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Dynamical Systems in Neuroscience
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/s11071-020-05640-4openalex-snapshot
Beautiful chaotic patterns generated using simple untrained recurrent neural networks under harmonic excitation
inferred← citeshttps://doi.org/10.1007/s42967-021-00176-9openalex-snapshot
P-Bifurcation of Stochastic van der Pol Model as a Dynamical System in Neuroscience
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