Search Results for author: Nathanael Perraudin

Found 13 papers, 2 papers with code

Evaluating GANs via Duality

no code implementations ICLR 2019 Paulina Grnarova, Kfir. Y. Levy, Aurelien Lucchi, Nathanael Perraudin, Thomas Hofmann, Andreas Krause

Generative Adversarial Networks (GANs) have shown great results in accurately modeling complex distributions, but their training is known to be difficult due to instabilities caused by a challenging minimax optimization problem.

A domain agnostic measure for monitoring and evaluating GANs

1 code implementation NeurIPS 2019 Paulina Grnarova, Kfir. Y. Levy, Aurelien Lucchi, Nathanael Perraudin, Ian Goodfellow, Thomas Hofmann, Andreas Krause

Evaluations are essential for: (i) relative assessment of different models and (ii) monitoring the progress of a single model throughout training.

Inpainting of long audio segments with similarity graphs

no code implementations22 Jul 2016 Nathanael Perraudin, Nicki Holighaus, Piotr Majdak, Peter Balazs

We present a novel method for the compensation of long duration data loss in audio signals, in particular music.

Predicting the evolution of stationary graph signals

no code implementations12 Jul 2016 Andreas Loukas, Nathanael Perraudin

An emerging way of tackling the dimensionality issues arising in the modeling of a multivariate process is to assume that the inherent data structure can be captured by a graph.

Towards stationary time-vertex signal processing

no code implementations22 Jun 2016 Nathanael Perraudin, Andreas Loukas, Francesco Grassi, Pierre Vandergheynst

Graph-based methods for signal processing have shown promise for the analysis of data exhibiting irregular structure, such as those found in social, transportation, and sensor networks.

Denoising

Tracking Time-Vertex Propagation using Dynamic Graph Wavelets

no code implementations21 Jun 2016 Francesco Grassi, Nathanael Perraudin, Benjamin Ricaud

Graph Signal Processing generalizes classical signal processing to signal or data indexed by the vertices of a weighted graph.

Compressive Sensing

Low-Rank Matrices on Graphs: Generalized Recovery & Applications

no code implementations18 May 2016 Nauman Shahid, Nathanael Perraudin, Pierre Vandergheynst

Many real world datasets subsume a linear or non-linear low-rank structure in a very low-dimensional space.

Global and Local Uncertainty Principles for Signals on Graphs

no code implementations10 Mar 2016 Nathanael Perraudin, Benjamin Ricaud, David Shuman, Pierre Vandergheynst

Accordingly, we suggest a new way to incorporate a notion of locality, and develop local uncertainty principles that bound the concentration of the analysis coefficients of each atom of a localized graph spectral filter frame in terms of quantities that depend on the local structure of the graph around the center vertex of the given atom.

Compressive PCA for Low-Rank Matrices on Graphs

no code implementations5 Feb 2016 Nauman Shahid, Nathanael Perraudin, Gilles Puy, Pierre Vandergheynst

We introduce a novel framework for an approxi- mate recovery of data matrices which are low-rank on graphs, from sampled measurements.

Accelerated filtering on graphs using Lanczos method

no code implementations15 Sep 2015 Ana Susnjara, Nathanael Perraudin, Daniel Kressner, Pierre Vandergheynst

Signal-processing on graphs has developed into a very active field of research during the last decade.

Numerical Analysis

Fast Robust PCA on Graphs

no code implementations29 Jul 2015 Nauman Shahid, Nathanael Perraudin, Vassilis Kalofolias, Gilles Puy, Pierre Vandergheynst

Clustering experiments on 7 benchmark datasets with different types of corruptions and background separation experiments on 3 video datasets show that our proposed model outperforms 10 state-of-the-art dimensionality reduction models.

Clustering Dimensionality Reduction

UNLocBoX: A MATLAB convex optimization toolbox for proximal-splitting methods

no code implementations4 Feb 2014 Nathanael Perraudin, Vassilis Kalofolias, David Shuman, Pierre Vandergheynst

Convex optimization is an essential tool for machine learning, as many of its problems can be formulated as minimization problems of specific objective functions.

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