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The kinematics of many mechanical systems encountered in robotics and other fields, such as single-bearing attitude estimation and SLAM, are naturally posed on homogeneous spaces: That is, their state lies in a smooth manifold equipped with…

Systems and Control · Electrical Eng. & Systems 2021-07-13 Pieter van Goor , Tarek Hamel , Robert Mahony

Orientation estimation for 3D objects is a common problem that is usually tackled with traditional nonlinear filtering techniques such as the extended Kalman filter (EKF) or the unscented Kalman filter (UKF). Most of these techniques assume…

Systems and Control · Computer Science 2016-08-19 Igor Gilitschenski , Gerhard Kurz , Simon J. Julier , Uwe D. Hanebeck

It is imperative to accelerate the training of neural network force field such as Deep Potential, which usually requires thousands of images based on first-principles calculation and a couple of days to generate an accurate potential energy…

Computational Physics · Physics 2022-12-15 Siyu Hu , Wentao Zhang , Qiuchen Sha , Feng Pan , Lin-Wang Wang , Weile Jia , Guangmng Tan , Tong Zhao

The ensemble Kalman filter (EnKF) is a popular technique for performing inference in state-space models (SSMs), particularly when the dynamic process is high-dimensional. Unlike reweighting methods such as sequential Monte Carlo (SMC, i.e.…

This paper analyzes directional tracking in 2D with the extended Kalman filter on Lie groups (LG-EKF). The study stems from the problem of tracking objects moving in 2D Euclidean space, with the observer measuring direction only, thus…

Robotics · Computer Science 2017-08-21 Ivan Markovic , Josip Cesic , Ivan Petrovic

Accurate structural response prediction forms a main driver for structural health monitoring and control applications. This often requires the proposed model to adequately capture the underlying dynamics of complex structural systems. In…

Machine Learning · Computer Science 2023-07-04 Wei Liu , Zhilu Lai , Kiran Bacsa , Eleni Chatzi

Conventional Wi-Fi received signal strength indicator (RSSI) fingerprinting cannot meet the growing demand for accurate indoor localization and navigation due to its lower accuracy, while solutions based on light detection and ranging…

Robotics · Computer Science 2025-09-30 Zeyi Li , Zhe Tang , Kyeong Soo Kim , Sihao Li , Jeremy S. Smith

The main goal of this project is that the basic EKF-based SLAM operation can be implemented sufficiently for estimating the state of the UGV that is operated in this real environment involving dynamic objects. Several problems in practical…

Robotics · Computer Science 2019-05-17 Roni Permana Saputra

This work develops a learning-based contact estimator for legged robots that bypasses the need for physical sensors and takes multi-modal proprioceptive sensory data as input. Unlike vision-based state estimators, proprioceptive state…

Robotics · Computer Science 2021-11-30 Tzu-Yuan Lin , Ray Zhang , Justin Yu , Maani Ghaffari

Multi-object tracking (MOT) is a crucial component of situational awareness in military defense applications. With the growing use of unmanned aerial systems (UASs), MOT methods for aerial surveillance is in high demand. Application of MOT…

Computer Vision and Pattern Recognition · Computer Science 2021-10-06 Wanlin Xie , Jaime Ide , Daniel Izadi , Sean Banger , Thayne Walker , Ryan Ceresani , Dylan Spagnuolo , Christopher Guagliano , Henry Diaz , Jason Twedt

Deep Learners (DLs) are the state-of-art predictive mechanism with applications in many fields requiring complex high dimensional data processing. Although conventional DLs get trained via gradient descent with back-propagation, Kalman…

Machine Learning · Statistics 2023-07-21 Ved Piyush , Yuchen Yan , Yuzhen Zhou , Yanbin Yin , Souparno Ghosh

The ensemble Kalman filter (EnKF) is a method for combining a dynamical model with data in a sequential fashion. Despite its widespread use, there has been little analysis of its theoretical properties. Many of the algorithmic innovations…

Probability · Mathematics 2015-06-17 D. T. B. Kelly , K. J. H. Law , A. M. Stuart

We present ESLAM, an efficient implicit neural representation method for Simultaneous Localization and Mapping (SLAM). ESLAM reads RGB-D frames with unknown camera poses in a sequential manner and incrementally reconstructs the scene…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Mohammad Mahdi Johari , Camilla Carta , François Fleuret

The present paper introduces a novel methodology for Unscented Kalman Filtering (UKF) on manifolds that extends previous work by the authors on UKF on Lie groups. Beyond filtering performance, the main interests of the approach are its…

Robotics · Computer Science 2020-03-12 Martin Brossard , Axel Barrau , Silvere Bonnabel

The extended Kalman filter (EKF) is a cornerstone of nonlinear state estimation, yet its performance is fundamentally limited by noise-model mismatch and linearization errors. We develop a residual-aware distributionally robust EKF that…

Systems and Control · Electrical Eng. & Systems 2026-04-06 Minhyuk Jang , Jungjin Lee , Astghik Hakobyan , Naira Hovakimyan , Insoon Yang

This paper presents a deep learning enhanced adaptive unscented Kalman filter (UKF) for predicting human arm motion in the context of manufacturing. Unlike previous network-based methods that solely rely on captured human motion data, which…

Robotics · Computer Science 2024-02-21 Wansong Liu , Sibo Tian , Boyi Hu , Xiao Liang , Minghui Zheng

Extended Kalman Filter (EKF) has been a popular approach to localization a mobile robot. However, the performance of the EKF and the quality of the estimation depends on the correct a priori knowledge of process and measurement noise…

Other Computer Science · Computer Science 2010-04-20 Ramazan Havangi , Mohammad Ali Nekoui , Mohammad Teshnehlab

The Kalman filter is a fundamental tool for state estimation in dynamical systems. While originally developed for linear Gaussian settings, it has been extended to nonlinear problems through approaches such as the extended and unscented…

Optimization and Control · Mathematics 2025-09-10 Yuan Wu , Sicheng He

The simultaneous localization and mapping (SLAM) problem is considered in three dimensions. The proposed algorithm, differential geometric SLAM (DG-SLAM), employs methods from differential geometry to propagate the state and map estimates.…

Robotics · Computer Science 2015-06-02 David Evan Zlotnik , James Richard Forbes

This paper studies the distributed state estimation problem for a class of discrete time-varying systems over sensor networks. Firstly, it is shown that a networked Kalman filter with optimal gain parameter is actually a centralized filter,…

Systems and Control · Computer Science 2017-11-15 Xingkang He , Wenchao Xue , Haitao Fang
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