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This paper introduces a deep learning system based on a quantum neural network for the binary classification of points of a specific geometric pattern (Two-Moons Classification problem) on a plane. We believe that the use of hybrid deep…

Quantum Physics · Physics 2022-08-10 Marco Simonetti , Damiano Perri , Osvaldo Gervasi

This paper introduces a challenging object grasping task and proposes a self-supervised learning approach. The goal of the task is to grasp an object which is not feasible with a single parallel gripper, but only with harnessing environment…

Robotics · Computer Science 2021-04-06 Hengyue Liang , Xibai Lou , Yang Yang , Changhyun Choi

Deep learning and reinforcement learning methods have recently been used to solve a variety of problems in continuous control domains. An obvious application of these techniques is dexterous manipulation tasks in robotics which are…

Geometric algebra is an optimal frame work for calculating with vectors. The geometric algebra of a space includes elements that represent all the its subspaces (lines, planes, volumes, ...). Conformal geometric algebra expands this…

Computer Vision and Pattern Recognition · Computer Science 2013-06-07 Eckhard Hitzer

We study the multi-agent formation control problem in a directed graph. The relative configurations are expressed by unit dual quaternions (UDQs). We call such a weighted directed graph a unit dual quaternion directed graph (UDQDG). We show…

Rings and Algebras · Mathematics 2024-11-07 Liqun Qi , Chunfeng Cui , Chen Ouyang

Topological phase classifications have been intensively studied via machine-learning techniques where different forms of the training data are proposed in order to maximize the information extracted from the systems of interests. Due to the…

Quantum Physics · Physics 2023-05-08 Min-Ruei Lin , Wan-Ju Li , Shin-Ming Huang

Quantum simulation promises to address many challenges in fields ranging from quantum chemistry to material science, and high-energy physics, and could be implemented in noisy intermediate-scale quantum devices. A challenge in building good…

Quantum Physics · Physics 2020-07-22 Yi-Xiang Liu , Jordan Hines , Zhi Li , Ashok Ajoy , Paola Cappellaro

As the twin movements of open science and open source bring an ever greater share of the scientific process into the digital realm, new opportunities arise for the meta-scientific study of science itself, including of data science and…

Statistics Theory · Mathematics 2020-06-17 Evan Patterson

We design an efficient data structure for computing a suitably defined approximate depth of any query point in the arrangement $\mathcal{A}(S)$ of a collection $S$ of $n$ halfplanes or triangles in the plane or of halfspaces or simplices in…

Computational Geometry · Computer Science 2020-06-23 Dror Aiger , Haim Kaplan , Micha Sharir

Symmetry is a fundamental aspect of many real-world robotic tasks. However, current deep reinforcement learning (DRL) approaches can seldom harness and exploit symmetry effectively. Often, the learned behaviors fail to achieve the desired…

Robotics · Computer Science 2024-03-08 Mayank Mittal , Nikita Rudin , Victor Klemm , Arthur Allshire , Marco Hutter

Deformable object manipulation (DOM) represents a critical challenge in robotics, with applications spanning healthcare, manufacturing, food processing, and beyond. Unlike rigid objects, deformable objects exhibit infinite dimensionality,…

Robotics · Computer Science 2026-02-27 Ryan Paul McKennaa , John Oyekan

Dual quaternions can represent rigid body motion in 3D spaces, and have found wide applications in robotics, 3D motion modelling and control, and computer graphics. In this paper, we introduce three different right linear independency for a…

Numerical Analysis · Mathematics 2023-05-05 Chen Ling , Liqun Qi , Hong Yan

Recent advances in robotics have been largely driven by imitation learning, which depends critically on large-scale, high-quality demonstration data. However, collecting such data remains a significant challenge-particularly for mobile…

Robotics · Computer Science 2025-10-07 Yilin Mei , Peng Qiu , Wei Zhang , WenChao Zhang , Wenjie Song

Deformable object manipulation (DOM) for robots has a wide range of applications in various fields such as industrial, service and health care sectors. However, compared to manipulation of rigid objects, DOM poses significant challenges for…

Robotics · Computer Science 2023-12-19 Feida Gu , Yanmin Zhou , Zhipeng Wang , Shuo Jiang , Bin He

In this work, we present two Deep Reinforcement Learning (Deep-RL) approaches to enhance the problem of mapless navigation for a terrestrial mobile robot. Our methodology focus on comparing a Deep-RL technique based on the Deep Q-Network…

The study of general two dimensional models of gravity allows to tackle basic questions of quantum gravity, bypassing important technical complications which make the treatment in higher dimensions difficult. As the physically important…

High Energy Physics - Theory · Physics 2010-11-19 D. Grumiller , W. Kummer , D. V. Vassilevich

Digital Twin (DT) has gained great interest as an innovative technology in Industry 4.0 that enables advanced modeling, simulation, and optimization of service and manufacturing systems. This article provides an extensive review of the…

General Mathematics · Mathematics 2026-01-26 Sarow Saeedi

The shift from a linear to a circular economy has the potential to simultaneously reduce uncertainties of material supplies and waste generation. However, to date, the development of robotic and, more generally, autonomous systems have been…

Robotics · Computer Science 2024-11-28 Federico Zocco , Wassim M. Haddad , Andrea Corti , Monica Malvezzi

Using duality in optimization theory we formulate a dual approach to the S-matrix bootstrap that provides rigorous bounds to 2D QFT observables as a consequence of unitarity, crossing symmetry and analyticity of the scattering matrix. We…

High Energy Physics - Theory · Physics 2020-12-02 Andrea L Guerrieri , Alexandre Homrich , Pedro Vieira

This article is an exhaustive revision of concepts and formulas related to quaternions and rotations in 3D space, and their proper use in estimation engines such as the error-state Kalman filter. The paper includes an in-depth study of the…

Robotics · Computer Science 2017-11-08 Joan Solà