Machine Learning Link Inference of Noisy Delay-Coupled Networks with Optoelectronic Experimental Tests

We devise a machine learning technique to solve the general problem of inferring network links that have time delays using only time series data of the network nodal states. This task has applications in many fields, e.g., from applied physics, data science, and engineering to neuroscience and biolo...

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Autores principales: Amitava Banerjee, Joseph D. Hart, Rajarshi Roy, Edward Ott
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Publicado: American Physical Society 2021
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spelling oai:doaj.org-article:0f450d9779a84d8e80673fbb0ccf9b062021-12-02T17:02:09ZMachine Learning Link Inference of Noisy Delay-Coupled Networks with Optoelectronic Experimental Tests10.1103/PhysRevX.11.0310142160-3308https://doaj.org/article/0f450d9779a84d8e80673fbb0ccf9b062021-07-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.11.031014http://doi.org/10.1103/PhysRevX.11.031014https://doaj.org/toc/2160-3308We devise a machine learning technique to solve the general problem of inferring network links that have time delays using only time series data of the network nodal states. This task has applications in many fields, e.g., from applied physics, data science, and engineering to neuroscience and biology. Our approach is to first train a type of machine learning system known as reservoir computing to mimic the dynamics of the unknown network. We then use the trained parameters of the reservoir system output layer to deduce an estimate of the unknown network structure. Our technique, by its nature, is noninvasive but is motivated by the widely used invasive network inference method, whereby the responses to active perturbations applied to the network are observed and employed to infer network links (e.g., knocking down genes to infer gene regulatory networks). We test this technique on experimental and simulated data from delay-coupled optoelectronic oscillator networks, with both identical and heterogeneous delays along the links. We show that the technique often yields very good results, particularly if the system does not exhibit synchrony. We also find that the presence of dynamical noise can strikingly enhance the accuracy and ability of our technique, especially in networks that exhibit synchrony.Amitava BanerjeeJoseph D. HartRajarshi RoyEdward OttAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 11, Iss 3, p 031014 (2021)
institution DOAJ
collection DOAJ
language EN
topic Physics
QC1-999
spellingShingle Physics
QC1-999
Amitava Banerjee
Joseph D. Hart
Rajarshi Roy
Edward Ott
Machine Learning Link Inference of Noisy Delay-Coupled Networks with Optoelectronic Experimental Tests
description We devise a machine learning technique to solve the general problem of inferring network links that have time delays using only time series data of the network nodal states. This task has applications in many fields, e.g., from applied physics, data science, and engineering to neuroscience and biology. Our approach is to first train a type of machine learning system known as reservoir computing to mimic the dynamics of the unknown network. We then use the trained parameters of the reservoir system output layer to deduce an estimate of the unknown network structure. Our technique, by its nature, is noninvasive but is motivated by the widely used invasive network inference method, whereby the responses to active perturbations applied to the network are observed and employed to infer network links (e.g., knocking down genes to infer gene regulatory networks). We test this technique on experimental and simulated data from delay-coupled optoelectronic oscillator networks, with both identical and heterogeneous delays along the links. We show that the technique often yields very good results, particularly if the system does not exhibit synchrony. We also find that the presence of dynamical noise can strikingly enhance the accuracy and ability of our technique, especially in networks that exhibit synchrony.
format article
author Amitava Banerjee
Joseph D. Hart
Rajarshi Roy
Edward Ott
author_facet Amitava Banerjee
Joseph D. Hart
Rajarshi Roy
Edward Ott
author_sort Amitava Banerjee
title Machine Learning Link Inference of Noisy Delay-Coupled Networks with Optoelectronic Experimental Tests
title_short Machine Learning Link Inference of Noisy Delay-Coupled Networks with Optoelectronic Experimental Tests
title_full Machine Learning Link Inference of Noisy Delay-Coupled Networks with Optoelectronic Experimental Tests
title_fullStr Machine Learning Link Inference of Noisy Delay-Coupled Networks with Optoelectronic Experimental Tests
title_full_unstemmed Machine Learning Link Inference of Noisy Delay-Coupled Networks with Optoelectronic Experimental Tests
title_sort machine learning link inference of noisy delay-coupled networks with optoelectronic experimental tests
publisher American Physical Society
publishDate 2021
url https://doaj.org/article/0f450d9779a84d8e80673fbb0ccf9b06
work_keys_str_mv AT amitavabanerjee machinelearninglinkinferenceofnoisydelaycouplednetworkswithoptoelectronicexperimentaltests
AT josephdhart machinelearninglinkinferenceofnoisydelaycouplednetworkswithoptoelectronicexperimentaltests
AT rajarshiroy machinelearninglinkinferenceofnoisydelaycouplednetworkswithoptoelectronicexperimentaltests
AT edwardott machinelearninglinkinferenceofnoisydelaycouplednetworkswithoptoelectronicexperimentaltests
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