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Bibliographic Details
Main Authors: Kulkarni, Abhijeet M., Poulakakis, Ioannis, Huang, Guoquan
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2603.18308
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author Kulkarni, Abhijeet M.
Poulakakis, Ioannis
Huang, Guoquan
author_facet Kulkarni, Abhijeet M.
Poulakakis, Ioannis
Huang, Guoquan
contents Proprioceptive-only state estimation is attractive for legged robots since it is computationally cheaper and is unaffected by perceptually degraded conditions. The history of joint-level measurements contains rich information that can be used to infer the dynamics of the system and subsequently produce navigational measurements. Recent approaches produce these estimates with learned measurement models and fuse with IMU data, under a Gaussian noise assumption. However, this assumption can easily break down with limited training data and render the estimates inconsistent and potentially divergent. In this work, we propose a proprioceptive-only state estimation framework for legged robots that characterizes the measurement noise using set-coverage statements that do not assume any distribution. We develop a practical and computationally inexpensive method to use these set-coverage measurements with a Gaussian filter in a systematic way. We validate the approach in both simulation and two real-world quadrupedal datasets. Comparison with the Gaussian baselines shows that our proposed method remains consistent and is not prone to drift under real noise scenarios.
format Preprint
id arxiv_https___arxiv_org_abs_2603_18308
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Proprioceptive-only State Estimation for Legged Robots with Set-Coverage Measurements of Learned Dynamics
Kulkarni, Abhijeet M.
Poulakakis, Ioannis
Huang, Guoquan
Robotics
Proprioceptive-only state estimation is attractive for legged robots since it is computationally cheaper and is unaffected by perceptually degraded conditions. The history of joint-level measurements contains rich information that can be used to infer the dynamics of the system and subsequently produce navigational measurements. Recent approaches produce these estimates with learned measurement models and fuse with IMU data, under a Gaussian noise assumption. However, this assumption can easily break down with limited training data and render the estimates inconsistent and potentially divergent. In this work, we propose a proprioceptive-only state estimation framework for legged robots that characterizes the measurement noise using set-coverage statements that do not assume any distribution. We develop a practical and computationally inexpensive method to use these set-coverage measurements with a Gaussian filter in a systematic way. We validate the approach in both simulation and two real-world quadrupedal datasets. Comparison with the Gaussian baselines shows that our proposed method remains consistent and is not prone to drift under real noise scenarios.
title Proprioceptive-only State Estimation for Legged Robots with Set-Coverage Measurements of Learned Dynamics
topic Robotics
url https://arxiv.org/abs/2603.18308