1 code implementation • 26 Jul 2023 • Maxime Leiber, Yosra Marnissi, Axel Barrau, Mohammed El Badaoui
In this paper, we propose a differentiable version of the short-time Fourier transform (STFT) that allows for gradient-based optimization of the hop length or the frame temporal position by making these parameters continuous.
1 code implementation • 26 Jul 2023 • Maxime Leiber, Yosra Marnissi, Axel Barrau, Mohammed El Badaoui
The resulting differentiable adaptive STFT possesses commendable properties, such as the ability to adapt in the same time-frequency representation to both transient and stationary components, while being easily optimized by gradient descent.
1 code implementation • 23 Aug 2022 • Maxime Leiber, Axel Barrau, Yosra Marnissi, Dany Abboud
In this paper, we revisit the use of spectrograms in neural networks, by making the window length a continuous parameter optimizable by gradient descent instead of an empirically tuned integer-valued hyperparameter.
no code implementations • 5 Apr 2022 • Paul Chauchat, Silvere Bonnabel, Axel Barrau
In this paper we address smoothing-that is, optimisation-based-estimation techniques for localisation problems in the case where motion sensors are very accurate.
no code implementations • 12 Jan 2022 • Axel Barrau, Silvere Bonnabel
While many works exploiting an existing Lie group structure have been proposed for state estimation, in particular the Invariant Extended Kalman Filter (IEKF), few papers address the construction of a group structure that allows casting a given system into the framework of invariant filtering.
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
1 code implementation • 25 Feb 2020 • Martin Brossard, Silvere Bonnabel, Axel Barrau
This paper proposes a learning method for denoising gyroscopes of Inertial Measurement Units (IMUs) using ground truth data, and estimating in real time the orientation (attitude) of a robot in dead reckoning.
no code implementations • 7 Jan 2020 • Sébastien Razakarivony, Axel Barrau
In order to situate this new class of methods in the general picture of the Mean Shift theory, we alo give a synthetic exposure of existing results of this field.
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).
1 code implementation • 6 Mar 2019 • Martin Brossard, Axel Barrau, Silvere Bonnabel
This paper proposes a real-time approach for long-term inertial navigation based only on an Inertial Measurement Unit (IMU) for self-localizing wheeled robots.
Robotics
1 code implementation • 21 Oct 2015 • Axel Barrau, Silvere Bonnabel
In this paper we address the inconsistency of the EKF-based SLAM algorithm that stems from non-observability of the origin and orientation of the global reference frame.
Robotics Systems and Control
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