1 code implementation • 11 Mar 2024 • Anthony Frion, Lucas Drumetz, Guillaume Tochon, Mauro Dalla Mura, Albdeldjalil Aïssa El Bey
In the context of an increasing popularity of data-driven models to represent dynamical systems, many machine learning-based implementations of the Koopman operator have recently been proposed.
1 code implementation • 11 Mar 2024 • Clément Bonet, Lucas Drumetz, Nicolas Courty
On Euclidean spaces, a popular alternative is the Sliced-Wasserstein distance, which leverages a closed-form solution of the Wasserstein distance in one dimension, but which is not readily available on manifolds.
no code implementations • 6 Mar 2024 • Raphael Baena, Lucas Drumetz, Vincent Gripon
In classification, it is usual to observe that models trained on a given set of classes can generalize to previously unseen ones, suggesting the ability to learn beyond the initial task.
1 code implementation • 7 Feb 2024 • Tanmoy Mondal, Ricardo Mendoza, Lucas Drumetz
We propose a deep learning-based architecture to automatically simulate the underwater effects where only a dehazing-like image formation equation is known to the network, and the additional degradation due to the other unknown factors if inferred in a data-driven way.
no code implementations • 22 Dec 2023 • Naoufal El Bekri, Lucas Drumetz, Franck Vermet
The generative paradigm has become increasingly important in machine learning and deep learning models.
2 code implementations • 5 Oct 2023 • Mohamad Jouni, Mauro Dalla Mura, Lucas Drumetz, Pierre Comon
Matrix models become insufficient when the hyperspectral image (HSI) is represented as a high-order tensor with additional features in a multimodal, multifeature framework.
1 code implementation • 11 Sep 2023 • Anthony Frion, Lucas Drumetz, Mauro Dalla Mura, Guillaume Tochon, Abdeldjalil Aïssa El Bey
With the increasing availability of large scale datasets, computational power and tools like automatic differentiation and expressive neural network architectures, sequential data are now often treated in a data-driven way, with a dynamical model trained from the observation data.
1 code implementation • 5 May 2023 • Anthony Frion, Lucas Drumetz, Guillaume Tochon, Mauro Dalla Mura, Abdeldjalil Aïssa El Bey
Over the last few years, massive amounts of satellite multispectral and hyperspectral images covering the Earth's surface have been made publicly available for scientific purpose, for example through the European Copernicus project.
no code implementations • 13 Mar 2023 • Anthony Frion, Lucas Drumetz, Mauro Dalla Mura, Guillaume Tochon, Abdeldjalil Aissa El Bey
Over the last few years, several works have proposed deep learning architectures to learn dynamical systems from observation data with no or little knowledge of the underlying physics.
2 code implementations • 10 Mar 2023 • Clément Bonet, Benoît Malézieux, Alain Rakotomamonjy, Lucas Drumetz, Thomas Moreau, Matthieu Kowalski, Nicolas Courty
When dealing with electro or magnetoencephalography records, many supervised prediction tasks are solved by working with covariance matrices to summarize the signals.
1 code implementation • 16 Jan 2023 • Yassir Bendou, Lucas Drumetz, Vincent Gripon, Giulia Lioi, Bastien Pasdeloup
Then, we introduce a downstream classifier meant to exploit the presence of multiple objects to improve the performance of few-shot classification, in the case of extreme settings where only one shot is given for its class.
1 code implementation • 18 Nov 2022 • Clément Bonet, Laetitia Chapel, Lucas Drumetz, Nicolas Courty
It has been shown beneficial for many types of data which present an underlying hierarchical structure to be embedded in hyperbolic spaces.
no code implementations • 28 Oct 2022 • Yassine El Ouahidi, Lucas Drumetz, Giulia Lioi, Nicolas Farrugia, Bastien Pasdeloup, Vincent Gripon
BCI Motor Imagery datasets usually are small and have different electrodes setups.
no code implementations • 17 Oct 2022 • Lucas Drumetz, Alexandre Reiffers-Masson, Naoufal El Bekri, Franck Vermet
The application of Euclidean methods to integrate differential equations lying on such objects does not respect the geometry of the manifold, which can cause many numerical issues.
no code implementations • 23 Sep 2022 • Aymane Abdali, Vincent Gripon, Lucas Drumetz, Bartosz Boguslawski
We consider a novel formulation of the problem of Active Few-Shot Classification (AFSC) where the objective is to classify a small, initially unlabeled, dataset given a very restrained labeling budget.
1 code implementation • 22 Sep 2022 • Guillaume Morel, Lucas Drumetz, Simon Benaïchouche, Nicolas Courty, François Rousseau
Normalizing Flows (NF) are powerful likelihood-based generative models that are able to trade off between expressivity and tractability to model complex densities.
1 code implementation • 7 Aug 2022 • Raphael Baena, Lucas Drumetz, Vincent Gripon
In this paper we are interested in the problem of solving fine-grain classification or regression, using a model trained on coarse-grain labels only.
1 code implementation • 17 Jun 2022 • Clément Bonet, Paul Berg, Nicolas Courty, François Septier, Lucas Drumetz, Minh-Tan Pham
Many variants of the Wasserstein distance have been introduced to reduce its original computational burden.
1 code implementation • 12 Jan 2022 • Raphael Baena, Lucas Drumetz, Vincent Gripon
Mixup is a data-dependent regularization technique that consists in linearly interpolating input samples and associated outputs.
Ranked #9 on Image Classification on Fashion-MNIST
1 code implementation • 21 Oct 2021 • Clément Bonet, Nicolas Courty, François Septier, Lucas Drumetz
However, it requires solving a nested optimization problem at each iteration, and is known for its computational challenges, especially in high dimension.
no code implementations • 21 Oct 2021 • Clément Bonet, Nicolas Courty, François Septier, Lucas Drumetz
In the context of optimal transport methods, the subspace detour approach was recently presented by Muzellec and Cuturi (2019).
no code implementations • 8 Oct 2021 • Carlos Lassance, Myriam Bontonou, Mounia Hamidouche, Bastien Pasdeloup, Lucas Drumetz, Vincent Gripon
This chapter is composed of four main parts: tools for visualizing intermediate layers in a DNN, denoising data representations, optimizing graph objective functions and regularizing the learning process.
no code implementations • 18 May 2021 • Noura Dridi, Lucas Drumetz, Ronan Fablet
They are notable for the ability to include a deterministic component of the system and a stochastic one to represent random unknown factors.
no code implementations • 18 Feb 2021 • Raphael Baena, Lucas Drumetz, Vincent Gripon
The field of Graph Signal Processing (GSP) has proposed tools to generalize harmonic analysis to complex domains represented through graphs.
no code implementations • 12 Jan 2021 • Mounia Hamidouche, Carlos Lassance, Yuqing Hu, Lucas Drumetz, Bastien Pasdeloup, Vincent Gripon
In machine learning, classifiers are typically susceptible to noise in the training data.
no code implementations • 17 Nov 2020 • Joaquim Estopinan, Guillaume Tochon, Lucas Drumetz
Making the most of multispectral image time-series is a promising but still relatively under-explored research direction because of the complexity of jointly analyzing spatial, spectral and temporal information.