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Multiplex visibility graphs to investigate recurrent neural network dynamics

https://doi.org/10.1038/srep44037
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What this work says

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

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On the Quantification of Dynamics in Reservoir Computing
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A Practical Guide to Applying Echo State Networks
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Are Biological Systems Poised at Criticality?
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Information processing in echo state networks at the edge of chaos
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Why neurons mix: high dimensionality for higher cognition
inferredcites →https://doi.org/10.1016/j.cosrev.2009.03.005openalex-snapshot
Reservoir computing approaches to recurrent neural network training
inferredcites →https://doi.org/10.1016/j.neucom.2012.01.032openalex-snapshot
Regularization and stability in reservoir networks with output feedback
inferredcites →https://doi.org/10.1016/j.neucom.2012.12.041openalex-snapshot
Short term memory in input-driven linear dynamical systems
inferredcites →https://doi.org/10.1016/j.neunet.2004.06.009openalex-snapshot
Recursive self-organizing network models
inferredcites →https://doi.org/10.1016/j.neunet.2010.10.003openalex-snapshot
A neurodynamical model for working memory
inferredcites →https://doi.org/10.1016/j.neunet.2012.06.003openalex-snapshot
On the equivalence of Hopfield networks and Boltzmann Machines
inferredcites →https://doi.org/10.1016/j.neunet.2012.07.005openalex-snapshot
Re-visiting the echo state property
inferredcites →https://doi.org/10.1016/j.neunet.2012.11.011openalex-snapshot
Reservoir computing and extreme learning machines for non-linear time-series data analysis
inferredcites →https://doi.org/10.1016/j.neunet.2014.09.003openalex-snapshot
Deep learning in neural networks: An overview
inferredcites →https://doi.org/10.1016/j.neunet.2015.08.010openalex-snapshot
Prediction of telephone calls load using Echo State Network with exogenous variables
inferredcites →https://doi.org/10.1016/j.physa.2011.04.020openalex-snapshot
Horizontal visibility graphs transformed from fractional Brownian motions: Topological properties versus the Hurst index
inferredcites →https://doi.org/10.1016/j.physrep.2005.10.009openalex-snapshot
Complex networks: Structure and dynamics
inferredcites →https://doi.org/10.1016/j.physrep.2013.11.002openalex-snapshot
Power laws and self-organized criticality in theory and nature
inferredcites →https://doi.org/10.1016/j.physrep.2014.07.001openalex-snapshot
The structure and dynamics of multilayer networks
inferredcites →https://doi.org/10.1016/j.pneurobio.2013.02.002openalex-snapshot
From fixed points to chaos: Three models of delayed discrimination
inferredcites →https://doi.org/10.1016/s0166-4115(97)80111-2openalex-snapshot
Serial Order: A Parallel Distributed Processing Approach
inferredcites →https://doi.org/10.1038/ncomms3521openalex-snapshot
Griffiths phases and the stretching of criticality in brain networks
inferredcites →https://doi.org/10.1038/nn.4042openalex-snapshot
A neural network that finds a naturalistic solution for the production of muscle activity
inferredcites →https://doi.org/10.1038/nphys2741openalex-snapshot
Universality in network dynamics
inferredcites →https://doi.org/10.1038/srep00514openalex-snapshot
Information Processing Capacity of Dynamical Systems
inferredcites →https://doi.org/10.1038/srep12858openalex-snapshot
Optimal nonlinear information processing capacity in delay-based reservoir computers
inferredcites →https://doi.org/10.1038/srep15508openalex-snapshot
Network structure of multivariate time series
inferredcites →https://doi.org/10.1049/ic:20040485openalex-snapshot
Applying social network analysis to the information in CVS repositories
inferredcites →https://doi.org/10.1063/1.3676686openalex-snapshot
Analytical properties of horizontal visibility graphs in the Feigenbaum scenario
inferredcites →https://doi.org/10.1068/b2684openalex-snapshot
From Isovists to Visibility Graphs: A Methodology for the Analysis of Architectural Space
inferredcites →https://doi.org/10.1073/pnas.1514188112openalex-snapshot
Thermodynamics and signatures of criticality in a network of neurons
inferredcites →https://doi.org/10.1080/00018730601170527openalex-snapshot
Characterization of complex networks: A survey of measurements
inferredcites →https://doi.org/10.1093/comnet/cnu016openalex-snapshot
Multilayer networks
inferredcites →https://doi.org/10.1103/physreva.32.1007openalex-snapshot
Spin-glass models of neural networks
inferredcites →https://doi.org/10.1103/physreve.75.027105openalex-snapshot
Generalizations of the clustering coefficient to weighted complex networks
inferredcites →https://doi.org/10.1103/physreve.76.056119openalex-snapshot
Approximating the largest eigenvalue of network adjacency matrices
inferredcites →https://doi.org/10.1103/physreve.80.046103openalex-snapshot
Horizontal visibility graphs: Exact results for random time series
inferredcites →https://doi.org/10.1103/physreve.82.011903openalex-snapshot
Stimulus-dependent suppression of chaos in recurrent neural networks
inferredcites →https://doi.org/10.1103/physreve.82.036120openalex-snapshot
Description of stochastic and chaotic series using visibility graphs
inferredcites →https://doi.org/10.1103/physreve.88.062918openalex-snapshot
Quasiperiodic graphs at the onset of chaos
inferredcites →https://doi.org/10.1103/physrevlett.89.208701openalex-snapshot
Assortative Mixing in Networks
inferredcites →https://doi.org/10.1103/physrevx.3.041022openalex-snapshot
Mathematical Formulation of Multilayer Networks
inferredcites →https://doi.org/10.1109/tnnls.2016.2630802openalex-snapshot
Investigating Echo-State Networks Dynamics by Means of Recurrence Analysis
inferredcites →https://doi.org/10.1109/tnnls.2016.2644268openalex-snapshot
Determination of the Edge of Criticality in Echo State Networks Through Fisher Information Maximization
inferredcites →https://doi.org/10.1126/science.1091277openalex-snapshot
Harnessing Nonlinearity: Predicting Chaotic Systems and Saving Energy in Wireless Communication
inferredcites →https://doi.org/10.1126/science.1225244openalex-snapshot
Anticipating Critical Transitions
inferredcites →https://doi.org/10.1162/089976604323057443openalex-snapshot
Real-Time Computation at the Edge of Chaos in Recurrent Neural Networks
inferredcites →https://doi.org/10.1162/artl_a_00041openalex-snapshot
Fisher Information at the Edge of Chaos in Random Boolean Networks
inferredcites →https://doi.org/10.1162/neco.2007.19.1.111openalex-snapshot
Analysis and Design of Echo State Networks
inferredcites →https://doi.org/10.1162/neco_a_00200openalex-snapshot
Recurrent Kernel Machines: Computing with Infinite Echo State Networks
inferredcites →https://doi.org/10.1162/neco_a_00730openalex-snapshot
Input-Anticipating Critical Reservoirs Show Power Law Forgetting of Unexpected Input Events
inferredcites →https://doi.org/10.1371/journal.pcbi.0020165openalex-snapshot
Computational Aspects of Feedback in Neural Circuits
inferredcites →https://doi.org/10.1371/journal.pcbi.1004967openalex-snapshot
Reservoir Computing Properties of Neural Dynamics in Prefrontal Cortex
inferredcites →https://doi.org/10.1371/journal.pcbi.1005258openalex-snapshot
Encoding in Balanced Networks: Revisiting Spike Patterns and Chaos in Stimulus-Driven Systems
inferredcites →https://doi.org/10.1371/journal.pone.0022411openalex-snapshot
Feigenbaum Graphs: A Complex Network Perspective of Chaos
inferredcites →https://doi.org/10.1371/journal.pone.0097857openalex-snapshot
Weighted Multiplex Networks
inferredcites →https://doi.org/10.1371/journal.pone.0108004openalex-snapshot
Distinguishing Noise from Chaos: Objective versus Subjective Criteria Using Horizontal Visibility Graph
inferredcites →https://doi.org/10.25088/complexsystems.21.3.193openalex-snapshot
Discriminating Chaotic Time Series with Visibility Graph Eigenvalues
inferredcites →https://doi.org/10.3389/fncom.2016.00094openalex-snapshot
Toward an Integration of Deep Learning and Neuroscience
inferredcites →https://doi.org/10.48550/arxiv.1210.0137openalex-snapshot
Data for Development: the D4D Challenge on Mobile Phone Data
inferredcites →https://doi.org/10.7551/mitpress/8476.001.0001openalex-snapshot
Networks of the Brain

What points at this work

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

inferred← citeshttps://doi.org/10.1002/widm.1404openalex-snapshot
Time series analysis via network science: Concepts and algorithms
inferred← citeshttps://doi.org/10.1007/978-3-030-43883-8_3openalex-snapshot
Deep Randomized Neural Networks
inferred← citeshttps://doi.org/10.1007/s10479-023-05623-9openalex-snapshot
Visibility graph and graph convolution networks-based segmentation of carbon emission in China
inferred← citeshttps://doi.org/10.1007/s10618-022-00826-3openalex-snapshot
Novel features for time series analysis: a complex networks approach
inferred← citeshttps://doi.org/10.1007/s11869-023-01310-7openalex-snapshot
Environmental pollution in North-Eastern Italy and its influence on chronic obstructive pulmonary disease: time series modelling and analysis using visibility graphs
inferred← citeshttps://doi.org/10.1016/j.apr.2019.10.011openalex-snapshot
Multiplex Visibility Graphs as a complementary tool for describing the relation between ground level O3 and No2
inferred← citeshttps://doi.org/10.1016/j.asoc.2018.01.009openalex-snapshot
Neuro-heuristics for nonlinear singular Thomas-Fermi systems
inferred← citeshttps://doi.org/10.1016/j.chaos.2024.114864openalex-snapshot
Higher-order-interaction in multiplex neuronal network with electric and synaptic coupling
inferred← citeshttps://doi.org/10.1016/j.cnsns.2019.01.012openalex-snapshot
Tetradic motif profiles of horizontal visibility graphs
inferred← citeshttps://doi.org/10.1016/j.knosys.2021.107478openalex-snapshot
Natural visibility encoding for time series and its application in stock trend prediction
inferred← citeshttps://doi.org/10.1016/j.neucom.2017.11.073openalex-snapshot
Local Lyapunov exponents of deep echo state networks
inferred← citeshttps://doi.org/10.1016/j.patcog.2019.106973openalex-snapshot
Learning representations of multivariate time series with missing data
inferred← citeshttps://doi.org/10.1016/j.physa.2019.121748openalex-snapshot
Visibility graph analysis of economy policy uncertainty indices
inferred← citeshttps://doi.org/10.1016/j.physa.2022.127227openalex-snapshot
Analysis of precipitation characteristics in Shanghai based on the visibility graph algorithm
inferred← citeshttps://doi.org/10.1016/j.physa.2024.130004openalex-snapshot
Visibility graph analysis of the grains and oilseeds indices
inferred← citeshttps://doi.org/10.1016/j.physrep.2018.10.005openalex-snapshot
Complex network approaches to nonlinear time series analysis
inferred← citeshttps://doi.org/10.1038/s41598-018-22332-7openalex-snapshot
Prediction of pKa Values for Neutral and Basic Drugs based on Hybrid Artificial Intelligence Methods
inferred← citeshttps://doi.org/10.1080/21642583.2025.2546844openalex-snapshot
Vector visibility graph for rare event classification in complex system multivariate time series data
inferred← citeshttps://doi.org/10.1089/neu.2018.5775openalex-snapshot
Visibility Graph Analysis of Intraspinal Pressure Signal Predicts Functional Outcome in Spinal Cord Injured Patients
inferred← citeshttps://doi.org/10.1103/physreve.102.052312openalex-snapshot
Mapping images into ordinal networks
inferred← citeshttps://doi.org/10.1103/physrevresearch.3.043135openalex-snapshot
Unifying framework for information processing in stochastically driven dynamical systems
inferred← citeshttps://doi.org/10.1109/access.2023.3343467openalex-snapshot
Probabilistic Load Forecasting With Reservoir Computing
inferred← citeshttps://doi.org/10.1109/tnnls.2020.3001377openalex-snapshot
Reservoir Computing Approaches for Representation and Classification of Multivariate Time Series
inferred← citeshttps://doi.org/10.1142/s0218127422501486openalex-snapshot
Stability Analysis and Coexisting Behaviors of a Delayed Multiplex Network Under Electromagnetic Radiation
inferred← citeshttps://doi.org/10.1177/00033197221124779openalex-snapshot
Daylight Saving Time transitions and Cardiovascular Disease in Andalusia: Time Series Modeling and Analysis Using Visibility Graphs
inferred← citeshttps://doi.org/10.1209/0295-5075/119/48008openalex-snapshot
Analytic degree distributions of horizontal visibility graphs mapped from unrelated random series and multifractal binomial measures
inferred← citeshttps://doi.org/10.1209/0295-5075/125/18002openalex-snapshot
Triadic time series motifs
inferred← citeshttps://doi.org/10.1209/0295-5075/132/58002openalex-snapshot
Mapping coupled time-series onto a complex network
inferred← citeshttps://doi.org/10.3390/e24121709openalex-snapshot
Reservoir Dynamic Interpretability for Time Series Prediction: A Permutation Entropy View
inferred← citeshttps://doi.org/10.3390/fractalfract9040208openalex-snapshot
Fractal, Spectral, and Topological Analysis of the Reservoir-Induced Seismicity of Pertusillo Area (Southern Italy)
inferred← citeshttps://doi.org/10.3390/math12213320openalex-snapshot
TVGeAN: Tensor Visibility Graph-Enhanced Attention Network for Versatile Multivariant Time Series Learning Tasks
inferred← citeshttps://doi.org/10.3390/modelling1010001openalex-snapshot
Time Series Clustering: A Complex Network-Based Approach for Feature Selection in Multi-Sensor Data
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