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Communication Dans Un Congrès Année : 2018

MODELING SIGNALS OVER DIRECTED GRAPHS THROUGH FILTERING

Résumé

In this paper, we discuss the problem of modeling a graph signal on a directed graph when observing only partially the graph signal. The graph signal is recovered using a learned graph filter. The novelty is to use the random walk operator associated to an ergodic random walk on the graph, so as to define and learn a graph filter, expressed as a polynomial of this operator. Through the study of different cases, we show the efficiency of the signal modeling using the random walk operator compared to existing methods using the adjacency matrix or ignoring the directions in the graph.
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Dates et versions

hal-02399335 , version 1 (09-12-2019)

Identifiants

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Harry Sevi, Gabriel Rilling, Pierre Borgnat. MODELING SIGNALS OVER DIRECTED GRAPHS THROUGH FILTERING. 2018 IEEE Global Conference on Signal and Information Processing (GlobalSIP), Nov 2018, Anaheim, United States. pp.718-722, ⟨10.1109/GlobalSIP.2018.8646534⟩. ⟨hal-02399335⟩
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