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Estimating Fiedler value on large networks based on random walk observations

Alexandre Reiffers-Masson 1 Thierry Chonavel 2, 3 Yezekael Hayel
3 Lab-STICC_IMTA_CID_TOMS
Lab-STICC - Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance
Abstract : In this paper, we describe an iterative scheme which is able to estimate the Fiedler value of a network when the topology is initially unknown. The only available information is the one obtained through a random walk process over the network. Our algorithm is based on the Rayleigh quotient optimization problem and the theory of stochastic approximation. We explain the different tools used to construct our algorithm and we describe our iterative scheme. Finally, we illustrate its performance through a numerical study. Index Terms Fiedler value, stochastic approximation, random walk based observations.
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https://hal-imt-atlantique.archives-ouvertes.fr/hal-02974433
Contributor : Alexandre Reiffers-Masson <>
Submitted on : Wednesday, October 21, 2020 - 6:26:59 PM
Last modification on : Wednesday, November 4, 2020 - 3:15:02 AM

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  • HAL Id : hal-02974433, version 1

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Alexandre Reiffers-Masson, Thierry Chonavel, Yezekael Hayel. Estimating Fiedler value on large networks based on random walk observations. 2020. ⟨hal-02974433⟩

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