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A single-index model (SIM) provides for parsimonious multi-dimensional nonlinear regression by combining parametric (linear) projection with univariate nonparametric (non-linear) regression models. We show that a particular Gaussian process…

Methodology · Statistics 2011-08-18 Robert B. Gramacy , Heng Lian

This paper proposes a novel framework for implicit multi-camera system calibration utilizing Gaussian Process (GP) regression. Conventional explicit calibration methods are constrained by rigid mathematical models and struggle with complex,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-11 Ivan De Boi , Bart Ribbens , Veronika Golanova , Ursula Kapov , Simon Verspeek

This paper presents a tightly-coupled multi-sensor fusion algorithm termed LiDAR-inertial-camera fusion (LIC-Fusion), which efficiently fuses IMU measurements, sparse visual features, and extracted LiDAR points. In particular, the proposed…

Robotics · Computer Science 2019-11-04 Xingxing Zuo , Patrick Geneva , Woosik Lee , Yong Liu , Guoquan Huang

State estimation with sensors is essential for mobile robots. Due to different performance of sensors in different environments, how to fuse measurements of various sensors is a problem. In this paper, we propose a tightly coupled…

Robotics · Computer Science 2021-09-17 Yupeng Jia , Haiyong Luo , Fang Zhao , Guanlin Jiang , Yuhang Li , Jiaquan Yan , Zhuqing Jiang , Zitian Wang

This paper proposes a resilient state estimator for LTI discrete-time systems. The dynamic equation of the system is assumed to be affected by a bounded process noise. As to the available measurements, they are potentially corrupted by a…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Alexandre Kircher , Laurent Bako , Eric Blanco , Mohamed Benallouch

This paper proposes an online learning method of Gaussian process state-space model (GP-SSM). GP-SSM is a probabilistic representation learning scheme that represents unknown state transition and/or measurement models as Gaussian processes…

Robotics · Computer Science 2024-10-30 Soon-Seo Park , Young-Jin Park , Youngjae Min , Han-Lim Choi

State estimation is a critical foundational module in robotics applications, where robustness and performance are paramount. Although in recent years, many works have been focusing on improving one of the most widely adopted state…

Robotics · Computer Science 2024-05-24 Luqi Wang , Yang Xu , Shaojie Shen

Integrating multiple LiDAR sensors can significantly enhance a robot's perception of the environment, enabling it to capture adequate measurements for simultaneous localization and mapping (SLAM). Indeed, solid-state LiDARs can bring in…

Robotics · Computer Science 2023-03-07 Li Qingqing , Yu Xianjia , Jorge Peña Queralta , Tomi Westerlund

This paper presents a 3D lidar SLAM system based on improved regionalized Gaussian process (GP) map reconstruction to provide both low-drift state estimation and mapping in real-time for robotics applications. We utilize spatial GP…

Robotics · Computer Science 2023-03-10 Jianyuan Ruan , Bo Li , Yinqiang Wang , Zhou Fang

Motion capture using sparse inertial sensors has shown great promise due to its portability and lack of occlusion issues compared to camera-based tracking. Existing approaches typically assume that IMU sensors are tightly attached to the…

Graphics · Computer Science 2025-08-14 Andela Ilic , Jiaxi Jiang , Paul Streli , Xintong Liu , Christian Holz

We examine an analytic variational inference scheme for the Gaussian Process State Space Model (GPSSM) - a probabilistic model for system identification and time-series modelling. Our approach performs variational inference over both the…

Machine Learning · Statistics 2018-12-11 Alessandro Davide Ialongo , Mark van der Wilk , Carl Edward Rasmussen

We propose a framework for tightly-coupled lidar inertial odometry via smoothing and mapping, LIO-SAM, that achieves highly accurate, real-time mobile robot trajectory estimation and map-building. LIO-SAM formulates lidar-inertial odometry…

Robotics · Computer Science 2020-07-15 Tixiao Shan , Brendan Englot , Drew Meyers , Wei Wang , Carlo Ratti , Daniela Rus

A key challenge with controlling complex dynamical systems is to accurately model them. However, this requirement is very hard to satisfy in practice. Data-driven approaches such as Gaussian processes (GPs) have proved quite effective by…

Robotics · Computer Science 2022-03-08 Mouhyemen Khan , Akash Patel , Abhijit Chatterjee

With the transition to a smart grid, we are witnessing a significant growth in sensor deployments and smart metering infrastructure in the distribution system. However, information from these sensors and meters are typically unevenly…

Systems and Control · Electrical Eng. & Systems 2020-11-24 Shweta Dahale , Balasubramaniam Natarajan

Gaussian Process state-space models capture complex temporal dependencies in a principled manner by placing a Gaussian Process prior on the transition function. These models have a natural interpretation as discretized stochastic…

Machine Learning · Computer Science 2022-02-24 Krista Longi , Jakob Lindinger , Olaf Duennbier , Melih Kandemir , Arto Klami , Barbara Rakitsch

Aided inertial navigation system (INS), typically consisting of an inertial measurement unit (IMU) and an exteroceptive sensor, has been widely accepted as a feasible solution for navigation. Compared with vision-aided and LiDAR-aided INS,…

Robotics · Computer Science 2024-11-01 Shuolong Chen , Xingxing Li , Shengyu Li , Yuxuan Zhou , Shiwen Wang

This letter proposes a new approach for Inertial Measurement Unit (IMU) preintegration, a fundamental building block that can be leveraged in different optimization-based Inertial Navigation System (INS) localization solutions. Inspired by…

Robotics · Computer Science 2025-08-22 Giulio Delama , Alessandro Fornasier , Robert Mahony , Stephan Weiss

Leveraging wearable devices for motion reconstruction has emerged as an economical and viable technique. Certain methodologies employ sparse Inertial Measurement Units (IMUs) on the human body and harness data-driven strategies to model…

Computer Vision and Pattern Recognition · Computer Science 2024-01-12 Xueyuan Yang , Chao Yao , Xiaojuan Ban

The ability to estimate 3D movements of users over edge computing-enabled networks, such as 5G/6G networks, is a key enabler for the new era of extended reality (XR) and Metaverse applications. Recent advancements in deep learning have…

Signal Processing · Electrical Eng. & Systems 2024-09-04 Nguyen Quang Hieu , Dinh Thai Hoang , Diep N. Nguyen

Real-time human motion reconstruction from a sparse set of (e.g. six) wearable IMUs provides a non-intrusive and economic approach to motion capture. Without the ability to acquire position information directly from IMUs, recent works took…

Computer Vision and Pattern Recognition · Computer Science 2022-12-12 Yifeng Jiang , Yuting Ye , Deepak Gopinath , Jungdam Won , Alexander W. Winkler , C. Karen Liu