Search Results for author: Nicolas Brunel

Found 6 papers, 3 papers with code

Conformal Approach To Gaussian Process Surrogate Evaluation With Coverage Guarantees

1 code implementation15 Jan 2024 Edgar Jaber, Vincent Blot, Nicolas Brunel, Vincent Chabridon, Emmanuel Remy, Bertrand Iooss, Didier Lucor, Mathilde Mougeot, Alessandro Leite

Gaussian processes (GPs) are a Bayesian machine learning approach widely used to construct surrogate models for the uncertainty quantification of computer simulation codes in industrial applications.

Conformal Prediction Gaussian Processes +2

Shape Analysis of Euclidean Curves under Frenet-Serret Framework

no code implementations ICCV 2023 Perrine Chassat, Juhyun Park, Nicolas Brunel

Geometric frameworks for analyzing curves are common in applications as they focus on invariant features and provide visually satisfying solutions to standard problems such as computing invariant distances, averaging curves, or registering curves.

Robust PCA for Anomaly Detection and Data Imputation in Seasonal Time Series

no code implementations3 Aug 2022 Hong-Lan Botterman, Julien Roussel, Thomas Morzadec, Ali Jabbari, Nicolas Brunel

We propose a robust principal component analysis (RPCA) framework to recover low-rank and sparse matrices from temporal observations.

Anomaly Detection Imputation +2

MAPIE: an open-source library for distribution-free uncertainty quantification

3 code implementations25 Jul 2022 Vianney Taquet, Vincent Blot, Thomas Morzadec, Louis Lacombe, Nicolas Brunel

Estimating uncertainties associated with the predictions of Machine Learning (ML) models is of crucial importance to assess their robustness and predictive power.

Conformal Prediction Multi-class Classification +1

Forgetting leads to chaos in attractor networks

no code implementations30 Nov 2021 Ulises Pereira-Obilinovic, Johnatan Aljadeff, Nicolas Brunel

We show that for a forgetting time scale that optimizes storage capacity, the qualitative features of the network's memory retrieval dynamics are age-dependent: most recent memories are retrieved as fixed-point attractors while older memories are retrieved as chaotic attractors characterized by strong heterogeneity and temporal fluctuations.

Retrieval

Bayesian reconstruction of memories stored in neural networks from their connectivity

1 code implementation16 May 2021 Sebastian Goldt, Florent Krzakala, Lenka Zdeborová, Nicolas Brunel

The advent of comprehensive synaptic wiring diagrams of large neural circuits has created the field of connectomics and given rise to a number of open research questions.

Bayesian Inference

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