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Accurate state estimation for robotic systems evolving on Lie group manifolds, such as legged robots, is a prerequisite for achieving agile control. However, this task is challenged by nonlinear observation models defined on curved…

Robotics · Computer Science 2026-04-14 Tianyi Zhang , Wenhan Cao , Chang Liu , Yao Lyu , Shengbo Eben Li

In this paper, we give a simple formula for sectional curvatures on the general linear group, which is also valid for many other matrix groups. Similar formula is given for a reductive Lie group. We also discuss the relation between…

Differential Geometry · Mathematics 2021-08-03 Luyining Gan , Ming Liao , Tin-Yau Tam

Robotic-assisted orthopaedic surgeries demand accurate, automated leg manipulation for improved spatial accuracy to reduce iatrogenic damage. In this study, we propose novel rigid body designs and an optical tracking volume setup for…

Robotics · Computer Science 2019-09-09 Mario Strydom , Artur Banach , Liao Wu , Ross Crawford , Jonathan Roberts , Anjali Jaiprakash

The exact renormalization group is applied to the world sheet theory describing bosonic open string backgrounds to obtain the equations of motion for the fields of the open string. Using loop variable techniques the equations can be…

High Energy Physics - Theory · Physics 2008-11-26 B. Sathiapalan

With the recent advances in machine learning, problems that traditionally would require accurate modeling to be solved analytically can now be successfully approached with data-driven strategies. Among these, computing the inverse…

Robotics · Computer Science 2021-03-31 Gian Maria Marconi , Raffaello Camoriano , Lorenzo Rosasco , Carlo Ciliberto

Many robots utilize commercial force/torque sensors to identify inertial properties of unknown objects. However, such sensors can be difficult to apply to small-sized robots due to their weight, size, and cost. In this paper, we propose a…

Robotics · Computer Science 2024-10-28 Zizhou Lao , Yuanfeng Han , Yunshan Ma , Gregory S. Chirikjian

We propose a novel framework for learning stabilizable nonlinear dynamical systems for continuous control tasks in robotics. The key contribution is a control-theoretic regularizer for dynamics fitting rooted in the notion of…

Optimization and Control · Mathematics 2019-08-01 Sumeet Singh , Spencer M. Richards , Vikas Sindhwani , Jean-Jacques E. Slotine , Marco Pavone

Accurate modelling of object deformations is crucial for a wide range of robotic manipulation tasks, where interacting with soft or deformable objects is essential. Current methods struggle to generalise to unseen forces or adapt to new…

Robotics · Computer Science 2025-05-20 Sean M. V. Collins , Brendan Tidd , Mahsa Baktashmotlagh , Peyman Moghadam

For a robot with redundant sensors and actuators distributed throughout its body, it is difficult to construct a controller or a neural network using all of them due to computational cost and complexity. Therefore, it is effective to…

We present an approach to learn fast and dynamic robot motions without exceeding limits on the position $\theta$, velocity $\dot{\theta}$, acceleration $\ddot{\theta}$ and jerk $\dddot{\theta}$ of each robot joint. Movements are generated…

Robotics · Computer Science 2021-03-30 Jonas C. Kiemel , Torsten Kröger

Legged robot locomotion is a challenging task due to a myriad of sub-problems, such as the hybrid dynamics of foot contact and the effects of the desired gait on the terrain. Accurate and efficient state estimation of the floating base and…

Robotics · Computer Science 2022-12-20 Varun Agrawal , Sylvain Bertrand , Robert Griffin , Frank Dellaert

In this study a new approach to the problem of transverse vibrations of an ideal string is presented. Unlike previous studies, assumptions such as constant tension, inextensibility, constant crosssectional area, small deformations and…

General Physics · Physics 2013-10-04 Namik Ciblak

We present a method for system identification of flexible objects by measuring forces and displacement during interaction with a manipulating arm. We model the object's structure and flexibility by a chain of rigid bodies connected by…

Robotics · Computer Science 2014-02-13 Timothy M. Caldwell , Dave Coleman , Nikolaus Correll

We present a novel approach to accelerate stochastic gradient descent (SGD) by utilizing curvature information obtained from Hessian-vector products or finite differences of parameters and gradients, similar to the BFGS algorithm. Our…

Machine Learning · Computer Science 2024-02-08 Omead Pooladzandi , Xi-Lin Li

Collaborative robots stand to have an immense impact on both human welfare in domestic service applications and industrial superiority in advanced manufacturing with dexterous assembly. The outstanding challenge is providing robotic…

Robotics · Computer Science 2023-03-07 Won Kyung Do , Bianca Jurewicz , Monroe Kennedy

SLOT (Soft Legged Omnidirectional Tetrapod), a tendon-driven soft quadruped robot with 3D-printed TPU legs, is presented to study physics-informed modeling and control of compliant legged locomotion using only four actuators. Each leg is…

Robotics · Computer Science 2026-02-19 Saumya Karan , Neerav Maram , Suraj Borate , Madhu Vadali

Off-line robot dynamic identification methods are mostly based on the use of the inverse dynamic model, which is linear with respect to the dynamic parameters. This model is sampled while the robot is tracking reference trajectories that…

Robotics · Computer Science 2010-09-24 Maxime Gautier , Alexandre Janot , Pierre-Olivier Vandanjon

Robots in dynamic environments need fast, accurate models of how objects move in their environments to support agile planning. In sports such as ping pong, analytical models often struggle to accurately predict ball trajectories with spins…

Robotics · Computer Science 2025-02-24 Qingyu Xiao , Zixuan Wu , Matthew Gombolay

Deformable objects manipulation can benefit from representations that seamlessly integrate vision and touch while handling occlusions. In this work, we present a novel approach for, and real-world demonstration of, multimodal visuo-tactile…

Robotics · Computer Science 2022-10-10 Youngsun Wi , Andy Zeng , Pete Florence , Nima Fazeli

This article introduces the Clarke transform and Clarke coordinates, which present a solution to the disengagement of an arbitrary number of coupled displacement actuation of continuum and soft robots. The Clarke transform utilizes the…

Robotics · Computer Science 2024-09-26 Reinhard Grassmann , Anastasiia Senyk , Jessica Burgner-Kahrs