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Untangling complex dynamical systems via derivative-variable correlations

https://doi.org/10.1038/srep05030
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Smoothing Methods in Statistics
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Gene regulatory network inference: Data integration in dynamic models—A review
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Equation discovery for systems biology: finding the structure and dynamics of biological networks from time course data
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Dynamic patterns of gene regulation I: Simple two-gene systems
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Dynamical Processes on Complex Networks
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A consensus yeast metabolic network reconstruction obtained from a community approach to systems biology
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Complex brain networks: graph theoretical analysis of structural and functional systems
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Evolutionary design of non-frustrated networks of phase-repulsive oscillators
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Reconstructing phase dynamics of oscillator networks
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Oscillation patterns in negative feedback loops
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Inferring friendship network structure by using mobile phone data
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Smoothing Methods in Statistics
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Inferring network topology from complex dynamics
inferredcites →https://doi.org/10.1103/physreve.83.051122openalex-snapshot
Momentary information transfer as a coupling measure of time series
inferredcites →https://doi.org/10.1103/physreve.84.046201openalex-snapshot
Reconstruction of two-dimensional phase dynamics from experiments on coupled oscillators
inferredcites →https://doi.org/10.1103/physreve.85.036112openalex-snapshot
Extracting topological features from dynamical measures in networks of Kuramoto oscillators
inferredcites →https://doi.org/10.1103/physreve.85.065201openalex-snapshot
Detecting hidden nodes in complex networks from time series
inferredcites →https://doi.org/10.1103/physrevlett.104.058701openalex-snapshot
Noise Bridges Dynamical Correlation and Topology in Coupled Oscillator Networks
inferredcites →https://doi.org/10.1103/physrevlett.107.034101openalex-snapshot
Network Reconstruction from Random Phase Resetting
inferredcites →https://doi.org/10.1103/physrevlett.107.054101openalex-snapshot
Inner Composition Alignment for Inferring Directed Networks from Short Time Series
inferredcites →https://doi.org/10.1103/physrevlett.109.024101openalex-snapshot
Inference of Time-Evolving Coupled Dynamical Systems in the Presence of Noise
inferredcites →https://doi.org/10.1103/physrevlett.71.2710openalex-snapshot
Solvable model of spatiotemporal chaos
inferredcites →https://doi.org/10.1126/science.1099962openalex-snapshot
Oscillations in NF-κB Signaling Control the Dynamics of Gene Expression
inferredcites →https://doi.org/10.1140/epjb/e2013-30986-5openalex-snapshot
Derivative-variable correlation reveals the structure of dynamical networks
inferredcites →https://doi.org/10.2307/j.ctvc772kpopenalex-snapshot
Linear Systems Theory
inferredcites →https://doi.org/10.3389/fgene.2012.00008openalex-snapshot
Statistical Inference and Reverse Engineering of Gene Regulatory Networks from Observational Expression Data

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Reconstruction of noise-driven nonlinear dynamic networks with some hidden nodes
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Reconstructing nonlinear networks subject to fast-varying noises by using linearization with expanded variables
inferred← citeshttps://doi.org/10.1016/j.neucom.2020.03.083openalex-snapshot
Chimeras in an adaptive neuronal network with burst-timing-dependent plasticity
inferred← citeshttps://doi.org/10.1016/j.physa.2018.02.166openalex-snapshot
Reconstructing networks from dynamics with correlated noise
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Network structure from a characterization of interactions in complex systems
inferred← citeshttps://doi.org/10.1038/srep44639openalex-snapshot
Reconstruction of noise-driven nonlinear networks from node outputs by using high-order correlations
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Using machine learning to assess short term causal dependence and infer network links
inferred← citeshttps://doi.org/10.1088/1367-2630/16/8/085013openalex-snapshot
Reconstructing effective phase connectivity of oscillator networks from observations
inferred← citeshttps://doi.org/10.1088/1367-2630/aae941openalex-snapshot
Decoupling approximation robustly reconstructs directed dynamical networks
inferred← citeshttps://doi.org/10.1088/1751-8121/aa7925openalex-snapshot
Evolutionary optimization of network reconstruction from derivative-variable correlations
inferred← citeshttps://doi.org/10.1098/rsta.2019.0015openalex-snapshot
A practical method for estimating coupling functions in complex dynamical systems
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Revealing directed effective connectivity of cortical neuronal networks from measurements
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Solving the inverse problem of noise-driven dynamic networks
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Reconstructing links in directed networks from noisy dynamics
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Coupling strength versus coupling impact in nonidentical bidirectionally coupled dynamics
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Time-varying coupling functions: Dynamical inference and cause of synchronization transitions
inferred← citeshttps://doi.org/10.1103/physreve.95.022311openalex-snapshot
Reconstructing network topology and coupling strengths in directed networks of discrete-time dynamics
inferred← citeshttps://doi.org/10.1103/physreve.99.012319openalex-snapshot
Inferring directed networks using a rank-based connectivity measure
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Spectral identification of networks with inputs
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The ill-posedness of derivative interpolation and regularized derivative interpolation for band-limited functions by sampling
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Depicting network structures from variable data produced by unknown colored-noise driven dynamics
inferred← citeshttps://doi.org/10.1209/0295-5075/119/30004openalex-snapshot
Reconstruction of a scalar voltage-based neural field network from observed time series
inferred← citeshttps://doi.org/10.1209/0295-5075/124/18002openalex-snapshot
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Network structure identification via Koopman analysis and sparse identification
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Trend Analysis of Chlorella sp. Immobilization Versus Capacitance Measurements
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Effective phase connectivity from observations
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