Reconstruction of network structures from marked point processes using multi-dimensional scaling
Kaori Kuroda,
Hiroki Hashiguchi,
Kantaro Fujiwara and
Tohru Ikeguchi
Physica A: Statistical Mechanics and its Applications, 2014, vol. 415, issue C, 194-204
Abstract:
We propose a method of estimating network structures only from observed marked point processes using the multi-dimensional scaling. In this method, first, we calculate a spike time metric which quantifies a metric distance between the observed marked point processes. Next, to represent a relationship among point processes in the Euclidean space, we apply the multi-dimensional scaling to the metric distance between point processes. Then we apply the partialization analysis to the obtained coordinate vectors by the multi-dimensional scaling. As a result, we can estimate the network structures from multiple point processes even though the elements have many common spurious inputs from the other elements.
Keywords: Multi-dimensional scaling; Point processes; Marked point processes; Partialization analysis (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:415:y:2014:i:c:p:194-204
DOI: 10.1016/j.physa.2014.08.001
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