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Benjamin Girault

6 accepted papers

2021

Orthogonality and Zero DC Tradeoffs in Biorthogonal Graph Filterbanks

Dion Eustathios Olivier Tzamarias, Eduardo Pavez, Benjamin Girault, Antonio Ortega, Ian Blanes, Joan Serra-Sagristà
ICASSP 2021accepted

Biorthogonal graph wavelet filterbanks, also known as GraphBior, are one of the most popular graph transforms used in image compression, but up to now, they could be designed based on two known admissible fundamental matrices: i) the random walk Laplacian, which heavily penalizes low degree pixels,…

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2021

Spectral Folding And Two-Channel Filter-Banks On Arbitrary Graphs

Eduardo Pavez, Benjamin Girault, Antonio Ortega, Philip A. Chou
ICASSP 2021accepted

In the past decade, several multi-resolution representation theories for graph signals have been proposed. Bipartite filter-banks stand out as the most natural extension of time domain filter-banks, in part because perfect reconstruction, orthogonality and bi-orthogonality conditions in the graph sp…

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2020

Graph Vertex Sampling with Arbitrary Graph Signal Hilbert Spaces

Benjamin Girault, Antonio Ortega, Shrikanth S. Narayayan
ICASSP 2020accepted

Graph vertex sampling set selection aims at selecting a set of vertices of a graph such that the space of graph signals that can be reconstructed exactly from those samples alone is maximal. In this context, we propose to extend sampling set selection based on spectral proxies to arbitrary Hilbert s…

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2019

Bluetooth Based Indoor Localization Using Triplet Embeddings

Karel Mundnich, Benjamin Girault, Shrikanth S. Narayanan
ICASSP 2019accepted

We propose a novel algorithm for indoor localization using triplet embeddings through Bluetooth connectivity streams obtained in very noisy settings with irregular sampling schemes using environmental sensors distributed ad hoc inside buildings. We pose the problem as a matrix completion problem, wh…

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2017

Towards a definition of local stationarity for graph signals

Benjamin Girault, Shrikanth S. Narayanan, Antonio Ortega
ICASSP 2017accepted

In this paper, we extend the recent definition of graph stationarity into a definition of local stationarity. Doing so, we present a metric to assess local stationarity using projections on localized atoms on the graph. Energy of these projections defines the local power spectrum of the signal. We u…

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