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Generating robot motion for multiple tasks in dynamic environments is challenging, requiring an algorithm to respond reactively while accounting for complex nonlinear relationships between tasks. In this paper, we develop a novel policy…

Robotics · Computer Science 2020-07-29 Ching-An Cheng , Mustafa Mukadam , Jan Issac , Stan Birchfield , Dieter Fox , Byron Boots , Nathan Ratliff

We introduce the Riemannian Motion Policy (RMP), a new mathematical object for modular motion generation. An RMP is a second-order dynamical system (acceleration field or motion policy) coupled with a corresponding Riemannian metric. The…

Robotics · Computer Science 2018-07-26 Nathan D. Ratliff , Jan Issac , Daniel Kappler , Stan Birchfield , Dieter Fox

RMPflow is a recently proposed policy-fusion framework based on differential geometry. While RMPflow has demonstrated promising performance, it requires the user to provide sensible subtask policies as Riemannian motion policies (RMPs: a…

Robotics · Computer Science 2019-10-09 Mustafa Mukadam , Ching-An Cheng , Dieter Fox , Byron Boots , Nathan Ratliff

In this paper, we present a Riemannian Motion Policy (RMP)flow-based whole-body control framework for improved dynamic legged locomotion. RMPflow is a differential geometry-inspired algorithm for fusing multiple task-space policies (RMPs)…

Robotics · Computer Science 2023-11-07 Daniel Marew , Misha Lvovsky , Shangqun Yu , Shotaro Sessions , Donghyun Kim

We introduce Riemannian Flow Matching Policies (RFMP), a novel model for learning and synthesizing robot visuomotor policies. RFMP leverages the efficient training and inference capabilities of flow matching methods. By design, RFMP…

Robotics · Computer Science 2024-08-28 Max Braun , Noémie Jaquier , Leonel Rozo , Tamim Asfour

We consider the problem of learning motion policies for acceleration-based robotics systems with a structured policy class specified by RMPflow. RMPflow is a multi-task control framework that has been successfully applied in many robotics…

Robotics · Computer Science 2021-03-11 Anqi Li , Ching-An Cheng , M. Asif Rana , Man Xie , Karl Van Wyk , Nathan Ratliff , Byron Boots

Robotic systems often need to consider multiple tasks concurrently. This challenge calls for controller synthesis algorithms that fulfill multiple control specifications while maintaining the stability of the overall system. In this paper,…

Systems and Control · Computer Science 2019-09-04 Anqi Li , Ching-An Cheng , Byron Boots , Magnus Egerstedt

This paper describes the pragmatic design and construction of geometric fabrics for shaping a robot's task-independent nominal behavior, capturing behavioral components such as obstacle avoidance, joint limit avoidance, redundancy…

Robotics · Computer Science 2021-06-29 Mandy Xie , Karl Van Wyk , Anqi Li , Muhammad Asif Rana , Qian Wan , Dieter Fox , Byron Boots , Nathan Ratliff

In many applications, multi-robot systems are required to achieve multiple objectives. For these multi-objective tasks, it is oftentimes hard to design a single control policy that fulfills all the objectives simultaneously. In this paper,…

Robotics · Computer Science 2019-09-04 Anqi Li , Mustafa Mukadam , Magnus Egerstedt , Byron Boots

Despite decades of work in fast reactive planning and control, challenges remain in developing reactive motion policies on non-Euclidean manifolds and enforcing constraints while avoiding undesirable potential function local minima. This…

Robotics · Computer Science 2021-03-26 Andrew Bylard , Riccardo Bonalli , Marco Pavone

Generating robot motion that fulfills multiple tasks simultaneously is challenging due to the geometric constraints imposed by the robot. In this paper, we propose to solve multi-task problems through learning structured policies from human…

Robotics · Computer Science 2021-03-12 M. Asif Rana , Anqi Li , Dieter Fox , Sonia Chernova , Byron Boots , Nathan Ratliff

Generating collision-free motion in dynamic, partially observable environments is a fundamental challenge for robotic manipulators. Classical motion planners can compute globally optimal trajectories but require full environment knowledge…

Robotics · Computer Science 2025-09-09 Jiahui Yang , Jason Jingzhou Liu , Yulong Li , Youssef Khaky , Kenneth Shaw , Deepak Pathak

Traditional motion planning methods for robots with many degrees-of-freedom, such as mobile manipulators, are often computationally prohibitive for real-world settings. In this paper, we propose a novel multi-model motion planning pipeline,…

Robotics · Computer Science 2025-06-11 Neşet Ünver Akmandor , Sarvesh Prajapati , Mark Zolotas , Taşkın Padır

Diffusion-based visuomotor policies excel at learning complex robotic tasks by effectively combining visual data with high-dimensional, multi-modal action distributions. However, diffusion models often suffer from slow inference due to…

Robotics · Computer Science 2025-08-08 Haoran Ding , Noémie Jaquier , Jan Peters , Leonel Rozo

We examine a wide class of stochastic approximation algorithms for solving (stochastic) nonlinear problems on Riemannian manifolds. Such algorithms arise naturally in the study of Riemannian optimization, game theory and optimal transport,…

Optimization and Control · Mathematics 2022-12-29 Mohammad Reza Karimi , Ya-Ping Hsieh , Panayotis Mertikopoulos , Andreas Krause

End-to-end learning for autonomous navigation has received substantial attention recently as a promising method for reducing modeling error. However, its data complexity, especially around generalization to unseen environments, is high. We…

Robotics · Computer Science 2019-04-04 Xiangyun Meng , Nathan Ratliff , Yu Xiang , Dieter Fox

Flow-matching policies have emerged as a powerful paradigm for generalist robotics. These models are trained to imitate an action chunk, conditioned on sensor observations and textual instructions. Often, training demonstrations are…

Machine Learning · Computer Science 2025-07-22 Samuel Pfrommer , Yixiao Huang , Somayeh Sojoudi

Recent progress in randomized motion planners has led to the development of a new class of sampling-based algorithms that provide asymptotic optimality guarantees, notably the RRT* and the PRM* algorithms. Careful analysis reveals that the…

Robotics · Computer Science 2016-09-21 Oktay Arslan , Panagiotis Tsiotras

In many robot control problems, factors such as stiffness and damping matrices and manipulability ellipsoids are naturally represented as symmetric positive definite (SPD) matrices, which capture the specific geometric characteristics of…

Robotics · Computer Science 2020-10-14 Fares J. Abu-Dakka , Ville Kyrki

Open-loop end-to-end neural motion planners have recently been proposed to improve motion planning for robotic manipulators. These methods enable planning directly from sensor observations without relying on a privileged collision checker…

Robotics · Computer Science 2026-04-09 Davood Soleymanzadeh , Xiao Liang , Minghui Zheng
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