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Robotic dexterous manipulation requires continuously reconciling objectives and constraints defined on heterogeneous geometric spaces: a robot controlled on a $\mathbb{R}^7$ configuration manifold may need to track end effector poses on…

Robotics · Computer Science 2026-05-22 Albert Wu , Riccardo Bonalli , Thomas Lew , C. Karen Liu

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

Dynamical System (DS)-based closed-loop control is a simple and effective way to generate reactive motion policies that well generalize to the robotic workspace, while retaining stability guarantees. Lately the formalism has been expanded…

Robotics · Computer Science 2024-06-04 Bernardo Fichera , Aude Billard

We develop a novel policy synthesis algorithm, RMPflow, based on geometrically consistent transformations of Riemannian Motion Policies (RMPs). RMPs are a class of reactive motion policies designed to parameterize non-Euclidean behaviors as…

Robotics · Computer Science 2019-04-09 Ching-An Cheng , Mustafa Mukadam , Jan Issac , Stan Birchfield , 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

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 many robot motion planning problems, task objectives and physical constraints induce non-Euclidean geometry on the configuration space, yet many planners operate using Euclidean distances that ignore this structure. We address the…

Robotics · Computer Science 2026-05-15 Phone Thiha Kyaw , Jonathan Kelly

The generation of energy-efficient and dynamic-aware robot motions that satisfy constraints such as joint limits, self-collisions, and collisions with the environment remains a challenge. In this context, Riemannian geometry offers…

Robotics · Computer Science 2023-07-31 Holger Klein , Noémie Jaquier , Andre Meixner , Tamim Asfour

It is difficult to create robust, reusable, and reactive behaviors for robots that can be easily extended and combined. Frameworks such as Behavior Trees are flexible but difficult to characterize, especially when designing reactions and…

Robotics · Computer Science 2019-08-07 Chris Paxton , Nathan Ratliff , Clemens Eppner , Dieter Fox

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

In real-world industrial environments, modern robots often rely on human operators for crucial decision-making and mission synthesis from individual tasks. Effective and safe collaboration between humans and robots requires systems that can…

Robotics · Computer Science 2024-06-26 Mike Allenspach , Michael Pantic , Rik Girod , Lionel Ott , Roland Siegwart

In this paper, we propose a whole-body planning framework that unifies dynamic locomotion and manipulation tasks by formulating a single multi-contact optimal control problem. We model the hybrid nature of a generic multi-limbed mobile…

Robotics · Computer Science 2021-03-02 Jean-Pierre Sleiman , Farbod Farshidian , Maria Vittoria Minniti , Marco Hutter

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

As an important branch of embodied artificial intelligence, mobile manipulators are increasingly applied in intelligent services, but their redundant degrees of freedom also limit efficient motion planning in cluttered environments. To…

Robotics · Computer Science 2025-04-01 Chenyu Zhang , Shiying Sun , Kuan Liu , Chuanbao Zhou , Xiaoguang Zhao , Min Tan , Yanlong Huang

Motion planning problems for physically-coupled multi-robot systems in cluttered environments are challenging due to their high dimensionality. Existing methods combining sampling-based planners with trajectory optimization produce…

Robotics · Computer Science 2025-05-16 Khaled Wahba , Wolfgang Hönig

Computing optimal, collision-free trajectories for high-dimensional systems is a challenging problem. Sampling-based planners struggle with the dimensionality, whereas trajectory optimizers may get stuck in local minima due to inherent…

Robotics · Computer Science 2023-05-12 Thomas Cohn , Mark Petersen , Max Simchowitz , Russ Tedrake

Probabilistic Latent Variable Models (LVMs) excel at modeling complex, high-dimensional data through lower-dimensional representations. Recent advances show that equipping these latent representations with a Riemannian metric unlocks…

Machine Learning · Computer Science 2025-05-20 Luis Augenstein , Noémie Jaquier , Tamim Asfour , Leonel Rozo

Planning problems are hard, motion planning, for example, isPSPACE-hard. Such problems are even more difficult in the presence of uncertainty. Although, Markov Decision Processes (MDPs) provide a formal framework for such problems, finding…

Artificial Intelligence · Computer Science 2013-01-14 Carlos E. Guestrin , Dirk Ormoneit

Modular manipulators composed of pre-manufactured and interchangeable modules offer high adaptability across diverse tasks. However, their deployment requires generating feasible motions while jointly optimizing morphology and mounted pose…

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