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Rotary positional embeddings (RoPE) are widely used in large language models to encode token positions through multiplicative rotations, yet their behavior at long context lengths remains poorly characterized. In this work, we reinterpret…

Machine Learning · Computer Science 2026-02-12 Feilong Liu

Centipede-like robots offer unique locomotion advantages due to their small cross-sectional area for accessing confined spaces, and their redundant legs enhance robustness in cluttered environments such as search-and-rescue and pipe…

Recoverable robust optimization is a popular multi-stage approach, in which it is possible to adjust a first-stage solution after the uncertain cost scenario is revealed. We consider recoverable robust optimization in combination with…

Computational Complexity · Computer Science 2024-11-28 Christoph Grüne , Lasse Wulf

Reorientation (turning in plane) plays a critical role for all robots in any field application, especially those that in confined spaces. While important, reorientation remains a relatively unstudied problem for robots, including limbless…

Robotics · Computer Science 2022-03-04 Tianyu Wang , Baxi Chong , Yuelin Deng , Ruijie Fu , Howie Choset , Daniel I. Goldman

It is necessary for a mobile robot to be able to efficiently plan a path from its starting, or current, location to a desired goal location. This is a trivial task when the environment is static. However, the operational environment of the…

Robotics · Computer Science 2017-04-18 Devin Connell , Hung Manh La

Modularity in robotics holds great potential. In principle, modular robots can be disassembled and reassembled in different robots, and possibly perform new tasks. Nevertheless, actually exploiting modularity is yet an unsolved problem:…

Robotics · Computer Science 2022-04-14 Federico Pigozzi , Yujin Tang , Eric Medvet , David Ha

The intrinsic modularity and reconfigurability of modular reconfigurable robots (MRR) confer advantages such as versatility, fault tolerance, and economic efficacy, thereby showcasing considerable potential across diverse applications. The…

Robotics · Computer Science 2023-10-17 Guanqi Liang , Di Wu , Yuxiao Tu , Tin Lun Lam

When deploying reinforcement learning policies to physical robots, actuator rate constraints -- hard limits on how fast each joint can move per control step -- are unavoidable. These limits vary substantially across joints due to…

Machine Learning · Computer Science 2026-05-07 Qijun Liao , Zhaoxin Yu , Jue Yang

We present the first results on the parameterized complexity of reconfiguration problems, where a reconfiguration version of an optimization problem $Q$ takes as input two feasible solutions $S$ and $T$ and determines if there is a sequence…

Computational Complexity · Computer Science 2013-08-23 Amer E. Mouawad , Naomi Nishimura , Venkatesh Raman , Narges Simjour , Akira Suzuki

Across various scientific and engineering domains, a growing interest in flexible and deployable structures is becoming evident. These structures facilitate seamless transitions between distinct states of shape and find broad applicability…

Rings and Algebras · Mathematics 2024-01-26 Yang Liu , Yi Ouyang , Dominik L. Michels

In this work we develop arbitrary-order Discontinuous Skeletal Gradient Discretisations (DSGD) on general polytopal meshes. Discontinuous Skeletal refers to the fact that the globally coupled unknowns are broken polynomial on the mesh…

Numerical Analysis · Mathematics 2018-10-09 Daniele A. Di Pietro , Jérôme Droniou , Gianmarco Manzini

In automated manufacturing, robots must reliably assemble parts of various geometries and low tolerances. Ideally, they plan the required motions autonomously. This poses a substantial challenge due to high-dimensional state spaces and…

This paper introduces the Omnidirectional Tractable Three Module Robot for traversing inside complex pipe networks. The robot consists of three omnidirectional modules fixed 120{\deg} apart circumferentially which can rotate about their…

Robotics · Computer Science 2020-02-20 Kartik Suryavanshi , Rama Vadapalli , Praharsha Budharaja , Abhishek Sarkar , Madhava Krishna

Isoperimetric robots are large scale, untethered inflatable robots that can undergo large shape changes, but have only been demonstrated in one 3D shape -- an octahedron. These robots consist of independent triangles that can change shape…

Robotics · Computer Science 2025-05-06 Nathan Usevitch , Isaac Weaver , James Usevitch

We investigate a novel setting for polytope rigidity, where a flex must preserve edge lengths and the planarity of faces, but is allowed to change the shapes of faces. For instance, the regular cube is flexible in this notion. We present…

Combinatorics · Mathematics 2026-03-11 Matthias Himmelmann , Bernd Schulze , Martin Winter

Combinatorial reconfiguration is a growing research field studying problems on the transformability between a pair of solutions of a search problem. We consider the approximability of optimization variants of reconfiguration problems; e.g.,…

Discrete Mathematics · Computer Science 2025-01-07 Naoto Ohsaka

Developing robust locomotion controllers for bipedal robots with closed kinematic chains presents unique challenges, particularly since most reinforcement learning (RL) approaches simplify these parallel mechanisms into serial models during…

There is increasing demand for automated systems that can fabricate 3D structures. Robotic spatial extrusion has become an attractive alternative to traditional layer-based 3D printing due to a manipulator's flexibility to print large,…

Robotics · Computer Science 2020-02-07 Caelan Reed Garrett , Yijiang Huang , Tomás Lozano-Pérez , Caitlin Tobin Mueller

In this paper, we examine the problem of push recovery for bipedal robot locomotion and present a reactive decision-making and robust planning framework for locomotion resilient to external perturbations. Rejecting perturbations is an…

Robotics · Computer Science 2022-03-04 Zhaoyuan Gu , Nathan Boyd , Ye Zhao

The aim of this work is to enable quadrupedal robots to mount skateboards using Reverse Curriculum Reinforcement Learning. Although prior work has demonstrated skateboarding for quadrupeds that are already positioned on the board, the…

Robotics · Computer Science 2025-05-13 Danil Belov , Artem Erkhov , Elizaveta Pestova , Ilya Osokin , Dzmitry Tsetserukou , Pavel Osinenko