Fractional Graph-based Semi-Supervised Learning

Sarah de Nigris 1 Esteban Bautista 1 Patrice Abry 2 Konstantin Avrachenkov 3 Paulo Gonçalves 1
1 DANTE - Dynamic Networks : Temporal and Structural Capture Approach
Inria Grenoble - Rhône-Alpes, LIP - Laboratoire de l'Informatique du Parallélisme, IXXI - Institut Rhône-Alpin des systèmes complexes
3 NEO - Network Engineering and Operations
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : Graph-based semi-supervised learning for classifica- tion endorses a nice interpretation in terms of diffusive random walks, where the regularisation factor in the original optimisation formulation plays the role of a restarting probability. Recently, a new type of biased random walks for characterising certain dynamics on networks have been defined and rely on the γ- th power of the standard Laplacian matrix Lγ, with γ > 0. In particular, these processes embed long range transitions, the Le ́vy flights, that are capable of one-step jumps between far- distant states (nodes) of the graph. The present contribution envisions to build upon these volatile random walks to propose a new version of graph based semi-supervised learning algorithms whose classification outcome could benefit from the dynamics induced by the fractional transition matrix
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Conference papers
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https://hal.inria.fr/hal-01586767
Contributor : Paulo Gonçalves <>
Submitted on : Wednesday, September 13, 2017 - 11:32:17 AM
Last modification on : Wednesday, April 3, 2019 - 1:10:08 AM

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  • HAL Id : hal-01586767, version 1

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Sarah de Nigris, Esteban Bautista, Patrice Abry, Konstantin Avrachenkov, Paulo Gonçalves. Fractional Graph-based Semi-Supervised Learning. EUSIPCO 2017 - 25th European Signal Processing Conference, Aug 2017, Kos Island, Greece. ⟨hal-01586767⟩

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