no code implementations • 17 Oct 2023 • Antoine Salmona, Julie Delon, Agnès Desolneux
This is done by introducing new Gromov-type distances, designed to be isometry-invariant in Euclidean spaces and applicable for comparing GMMs across different dimensional spaces.
no code implementations • 19 Jul 2023 • Eloi Tanguy, Rémi Flamary, Julie Delon
We investigate the regularity and optimisation properties of this energy, as well as its Monte-Carlo approximation $\mathcal{E}_p$ (estimating the expectation in SW using only $p$ samples) and show convergence results on the critical points of $\mathcal{E}_p$ to those of $\mathcal{E}$, as well as an almost-sure uniform convergence and a uniform Central Limit result on the process $\mathcal{E}_p(Y)$.
no code implementations • 28 Apr 2023 • Keanu Sisouk, Julie Delon, Julien Tierny
This paper presents a computational framework for the concise encoding of an ensemble of persistence diagrams, in the form of weighted Wasserstein barycenters [100], [102] of a dictionary of atom diagrams.
no code implementations • 6 Sep 2022 • Antoine Monod, Julie Delon, Matias Tassano, Andrés Almansa
Under a Bayesian formalism, the method consists in using a deep convolutional denoising network in place of the proximal operator of the prior in an alternating optimization scheme.
1 code implementation • 29 Jun 2022 • Antoine Salmona, Valentin De Bortoli, Julie Delon, Agnès Desolneux
More precisely, we show that the total variation distance and the Kullback-Leibler divergence between the generated and the data distribution are bounded from below by a constant depending on the mode separation and the Lipschitz constant.
no code implementations • 16 Jan 2022 • Rémi Laumont, Valentin De Bortoli, Andrés Almansa, Julie Delon, Alain Durmus, Marcelo Pereyra
Bayesian methods to solve imaging inverse problems usually combine an explicit data likelihood function with a prior distribution that explicitly models expected properties of the solution.
1 code implementation • 18 Oct 2021 • Antoine Monod, Julie Delon, Thomas Veit
HDR+ is an image processing pipeline presented by Google in 2016.
1 code implementation • 16 Jul 2021 • Mathieu Pont, Jules Vidal, Julie Delon, Julien Tierny
We extend recent work on the edit distance [106] and introduce a new metric, called the Wasserstein distance between merge trees, which is purposely designed to enable efficient computations of geodesics and barycenters.
no code implementations • 8 Mar 2021 • Rémi Laumont, Valentin De Bortoli, Andrés Almansa, Julie Delon, Alain Durmus, Marcelo Pereyra
The proposed algorithms are demonstrated on several canonical problems such as image deblurring, inpainting, and denoising, where they are used for point estimation as well as for uncertainty visualisation and quantification.
5 code implementations • CVPR 2020 • Matias Tassano, Julie Delon, Thomas Veit
In this paper, we propose a state-of-the-art video denoising algorithm based on a convolutional neural network architecture.
Ranked #5 on Video Denoising on Set8 sigma10
1 code implementation • 4 Jun 2019 • Matias Tassano, Julie Delon, Thomas Veit
Previous neural network based approaches to video denoising have been unsuccessful as their performance cannot compete with the performance of patch-based methods.
Ranked #5 on Video Denoising on DAVIS sigma30
no code implementations • 10 Jun 2017 • Cecilia Aguerrebere, Andrés Almansa, Julie Delon, Yann Gousseau, Pablo Musé
In this work, we propose the use of a hyperprior to model image patches, in order to stabilize the estimation procedure.
no code implementations • CVPR 2016 • Oriel Frigo, Neus Sabater, Julie Delon, Pierre Hellier
This paper presents a novel unsupervised method to transfer the style of an example image to a source image.