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For most LiDAR-inertial odometry, accurate initial states, including temporal offset and extrinsic transformation between LiDAR and 6-axis IMUs, play a significant role and are often considered as prerequisites. However, such information…

Robotics · Computer Science 2022-09-16 Fangcheng Zhu , Yunfan Ren , Fu Zhang

In this work we propose tailored model order reduction for varying boundary optimal control problems governed by parametric partial differential equations. With varying boundary control, we mean that a specific parameter changes where the…

Numerical Analysis · Mathematics 2024-01-22 Maria Strazzullo , Fabio Vicini

We present a novel approach for the detection of events in systems of ordinary differential equations. The new method combines the unique features of Taylor integrators with state-of-the-art polynomial root finding techniques to yield a…

Earth and Planetary Astrophysics · Physics 2022-06-30 Francesco Biscani , Dario Izzo

Accurate and robust global localization is essential to robotics applications. We propose a novel global localization method that employs the map traversability as a hidden observation. The resulting map-corrected odometry localization is…

Robotics · Computer Science 2019-10-02 Cheng Peng , David Weikersdorfer

When the disturbance input matrix is nonlinear, existing disturbance observer design methods rely on the solvability of a partial differential equation or the existence of an output function with a uniformly well-defined disturbance…

Systems and Control · Electrical Eng. & Systems 2024-06-21 Yujie Wang , Xiangru Xu

Machine learning models, while progressively advanced, rely heavily on the IID assumption, which is often unfulfilled in practice due to inevitable distribution shifts. This renders them susceptible and untrustworthy for deployment in…

Machine Learning · Computer Science 2024-03-05 Han Yu , Jiashuo Liu , Xingxuan Zhang , Jiayun Wu , Peng Cui

Radar presents a promising alternative to lidar and vision in autonomous vehicle applications, able to detect objects at long range under a variety of weather conditions. However, distinguishing between occupied and free space from raw…

Robotics · Computer Science 2019-05-13 Rob Weston , Sarah Cen , Paul Newman , Ingmar Posner

Optical Deflectometric Tomography (ODT) provides an accurate characterization of transparent materials whose complex surfaces present a real challenge for manufacture and control. In ODT, the refractive index map (RIM) of a transparent…

Computer Vision and Pattern Recognition · Computer Science 2013-10-31 Adriana Gonzalez , Laurent Jacques , Christophe De Vleeschouwer , Philippe Antoine

A reduced-order model based on Proper Orthogonal Decomposition (POD) is proposed for the bidomain equations of cardiac electrophysiology. Its accuracy is assessed through electrocardiograms in various configurations, including myocardium…

Numerical Analysis · Mathematics 2012-07-23 Muriel Boulakia , Elisa Schenone , Jean-Frédéric Gerbeau

Gauss's method of orbit determination (OD) and its variants are among the most popular initial state estimation techniques for astronomers and engineers alike. However, owing to its assumptions regarding the two-body problem, Gauss's method…

Applications · Statistics 2026-03-03 Ishan Paranjape , Tarun Hejmadi , Utkarsh Ranjan Mishra , Suman Chakravorty

Unsupervised Outlier Detection (UOD) is a critical task in data mining and machine learning, aiming to identify instances that significantly deviate from the majority. Without any label, deep UOD methods struggle with the misalignment…

Machine Learning · Computer Science 2025-05-13 Yuang Zhang , Liping Wang , Yihong Huang , Yuanxing Zheng , Fan Zhang , Xuemin Lin

We propose a new algorithm for computing validated bounds for the solutions to the first order variational equations associated to ODEs. These validated solutions are the kernel of numerics computer-assisted proofs in dynamical systems…

Numerical Analysis · Mathematics 2020-10-15 Irmina Walawska , Daniel Wilczak

Modern inertial measurements units (IMUs) are small, cheap, energy efficient, and widely employed in smart devices and mobile robots. Exploiting inertial data for accurate and reliable pedestrian navigation supports is a key component for…

Robotics · Computer Science 2020-01-14 Changhao Chen , Peijun Zhao , Chris Xiaoxuan Lu , Wei Wang , Andrew Markham , Niki Trigoni

We propose POLAR, a novel radar-guided depth estimation method that introduces polynomial fitting to efficiently transform scaleless depth predictions from pretrained monocular depth estimation (MDE) models into metric depth maps. Unlike…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Patrick Rim , Hyoungseob Park , Vadim Ezhov , Jeffrey Moon , Alex Wong

Learning-based inertial odometry has achieved remarkable progress in pedestrian navigation. However, extending these methods to quadruped robots remains challenging due to their distinct and highly dynamic motion patterns. Models that…

Robotics · Computer Science 2026-04-24 Dehan Shen , Changhao Chen

We present a novel algorithm for online, real-time orientation estimation. Our algorithm integrates gyroscope data and corrects the resulting orientation estimate for integration drift using accelerometer and magnetometer data. This…

Signal Processing · Electrical Eng. & Systems 2019-10-02 Manon Kok , Thomas B. Schön

Periodic orbits are among the simplest non-equilibrium solutions to dynamical systems, and they play a significant role in our modern understanding of the rich structures observed in many systems. For example, it is known that embedded…

Dynamical Systems · Mathematics 2021-03-18 Jason J. Bramburger , J. Nathan Kutz , Steven L. Brunton

Aggressive motions from agile flights or traversing irregular terrain induce motion distortion in LiDAR scans that can degrade state estimation and mapping. Some methods exist to mitigate this effect, but they are still too simplistic or…

Robotics · Computer Science 2023-03-08 Kenny Chen , Ryan Nemiroff , Brett T. Lopez

One of basic difficulties of machine learning is handling unknown rotations of objects, for example in image recognition. A related problem is evaluation of similarity of shapes, for example of two chemical molecules, for which direct…

Machine Learning · Computer Science 2018-01-04 Jarek Duda

Unmanned and intelligent agricultural systems are crucial for enhancing agricultural efficiency and for helping mitigate the effect of labor shortage. However, unlike urban environments, agricultural fields impose distinct and unique…

Robotics · Computer Science 2024-12-05 Hanzhe Teng , Yipeng Wang , Dimitrios Chatziparaschis , Konstantinos Karydis
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