no code implementations • 16 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.
no code implementations • 3 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.
1 code implementation • 31 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.
1 code implementation • 28 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
2 code implementations • 12 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).
no code implementations • 16 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.
3 code implementations • 6 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