Search Results for author: Silvère Bonnabel

Found 7 papers, 4 papers with code

Invariant Kalman Filtering with Noise-Free Pseudo-Measurements

no code implementations16 Apr 2024 Sven Goffin, Silvère Bonnabel, Olivier Brüls, Pierre Sacré

We relate the constraints to group-theoretic properties and study the behavior of the IEKF in the presence of such noise-free measurements.

Pose Estimation

Variational Gaussian approximation of the Kushner optimal filter

no code implementations3 Oct 2023 Marc Lambert, Silvère Bonnabel, Francis Bach

The solution to this last proximal loss is given by implicit updates on the mean and covariance that we proposed earlier.

Variational inference via Wasserstein gradient flows

1 code implementation31 May 2022 Marc Lambert, Sinho Chewi, Francis Bach, Silvère Bonnabel, Philippe Rigollet

Along with Markov chain Monte Carlo (MCMC) methods, variational inference (VI) has emerged as a central computational approach to large-scale Bayesian inference.

Bayesian Inference Variational Inference

Associating Uncertainty to Extended Poses for on Lie Group IMU Preintegration with Rotating Earth

1 code implementation28 Jul 2020 Martin Brossard, Axel Barrau, Paul Chauchat, Silvère Bonnabel

The recently introduced matrix group SE2(3) provides a 5x5 matrix representation for the orientation, velocity and position of an object in the 3-D space, a triplet we call ''extended pose''.

Robotics

AI-IMU Dead-Reckoning

2 code implementations12 Apr 2019 Martin Brossard, Axel Barrau, Silvère Bonnabel

In this paper we propose a novel accurate method for dead-reckoning of wheeled vehicles based only on an Inertial Measurement Unit (IMU).

Dead-Reckoning Prediction Navigate

On the Covariance of ICP-based Scan-matching Techniques

no code implementations16 Oct 2014 Silvère Bonnabel, Martin Barczyk, François Goulette

This paper considers the problem of estimating the covariance of roto-translations computed by the Iterative Closest Point (ICP) algorithm.

valid

The invariant extended Kalman filter as a stable observer

3 code implementations6 Oct 2014 Axel Barrau, Silvère Bonnabel

We analyze the convergence aspects of the invariant extended Kalman filter (IEKF), when the latter is used as a deterministic non-linear observer on Lie groups, for continuous-time systems with discrete observations.

Systems and Control

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