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Human movement studies and analyses have been fundamental in many scientific domains, ranging from neuroscience to education, pattern recognition to robotics, health care to sports, and beyond. Previous speech motor models were proposed to…

Neurons and Cognition · Quantitative Biology 2024-02-01 C. Carmona-Duarte , M. A. Ferrer , R. Plamondon , A. Gomez-Rodellar , P. Gomez-Vilda

The Kinematic Theory of rapid movements and its associated Sigma-Lognormal model have been extensively used in a large variety of applications. While the physical and biological meaning of the model have been widely tested and validated for…

Computer Vision and Pattern Recognition · Computer Science 2024-02-08 Miguel A. Ferrer , Moises Diaz , Cristina Carmona-Duarte , Rejean Plamondon

Large image generation and vision models, combined with differentiable rendering technologies, have become powerful tools for generating paths that can be drawn or painted by a robot. However, these tools often overlook the intrinsic…

Recent research on mobile robots has focused on increasing their adaptability to unpredictable and unstructured environments using soft materials and structures. However, the determination of key design parameters and control over these…

Robotics · Computer Science 2024-03-20 Keqi Zhu , Haotian Guo , Wei Yu , Hassen Nigatu , Tong Li , Huixu Dong

We propose a novel Transformer-based architecture for the task of generative modelling of 3D human motion. Previous work commonly relies on RNN-based models considering shorter forecast horizons reaching a stationary and often implausible…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Emre Aksan , Manuel Kaufmann , Peng Cao , Otmar Hilliges

Given a network of $N$ static nodes in $D$-dimensional space and the pairwise distances between them, the challenge of estimating the coordinates of the nodes is a well-studied problem. However, for numerous application domains, the nodes…

Signal Processing · Electrical Eng. & Systems 2022-03-08 Anurodh Mishra , Raj Thilak Rajan

We survey an area of recent development, relating dynamics to theoretical computer science. We discuss the theoretical limits of simulation and computation of interesting quantities in dynamical systems. We will focus on central objects of…

Dynamical Systems · Mathematics 2011-04-15 Stefano Galatolo , Mathieu Hoyrup , Cristóbal Rojas

We introduce a simple framework for learning aggressive maneuvers in flight control of UAVs. Having inspired from biological environment, dynamic movement primitives are analyzed and extended using nonlinear contraction theory. Accordingly,…

Robotics · Computer Science 2008-10-15 Baris E. Perk , J. J. E. Slotine

We introduce the concept of a "transitory" dynamical system---one whose time-dependence is confined to a compact interval---and show how to quantify transport between two-dimensional Lagrangian coherent structures for the Hamiltonian case.…

Chaotic Dynamics · Physics 2015-03-17 B. A. Mosovsky , J. D. Meiss

We propose TRAM, a two-stage method to reconstruct a human's global trajectory and motion from in-the-wild videos. TRAM robustifies SLAM to recover the camera motion in the presence of dynamic humans and uses the scene background to derive…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Yufu Wang , Ziyun Wang , Lingjie Liu , Kostas Daniilidis

We develop quantum electrodynamics into a kinetic-theory-like evolution equation for electrons, positrons and photons. To keep the "collision rules" simple, we make use of longitudinal and temporal photons in addition to the usual…

High Energy Physics - Theory · Physics 2018-03-09 Hans Christian Öttinger

Spatiotemporal imaging has applications in e.g. cardiac diagnostics, surgical guidance, and radiotherapy monitoring, In this paper, we explain the temporal motion by identifying the underlying dynamics, only based on the sequential images.…

Medical Physics · Physics 2024-10-16 Niklas Gunnarsson , Peter Kimstrand , Jens Sjölund , Thomas B. Schön

This paper investigates trajectory prediction for robotics, to improve the interaction of robots with moving targets, such as catching a bouncing ball. Unexpected, highly-non-linear trajectories cannot easily be predicted with…

Computer Vision and Pattern Recognition · Computer Science 2020-01-16 Marco Monforte , Ander Arriandiaga , Arren Glover , Chiara Bartolozzi

One of the fundamental postulates of the special relativity theory is existence of a single system of universal coordinate transforms for inertial reference frames, that is coordinate transforms, which are uniquely determined by space-time…

Mathematical Physics · Physics 2021-02-10 Ya. I. Grushka

The study of toy models in loop quantum gravity (LQG), defined as truncations of the full theory, is relevant to both the development of the LQG phenomenology, in cosmology and astrophysics, and the progress towards the resolution of the…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Eneko Aranguren , Iñaki Garay , Etera R. Livine

In this paper, the dynamic modeling of a seven linked humanoid robot, is accurately developed, in the three dimensional space using the Newton-Euler formalism. The aim of this study is to provide a clear and a systematic approach so that…

Robotics · Computer Science 2014-05-13 Amira Aloulou , Olfa Boubaker

This work introduces a new approach to velocity averaging lemmas in kinetic theory. This approach -- based upon the classical energy method -- provides a powerful duality principle in kinetic transport equations which allows for a natural…

Analysis of PDEs · Mathematics 2021-09-15 Diogo Arsénio , Nicolas Lerner

Important classes of active matter systems can be modeled using kinetic theories. However, kinetic theories can be high dimensional and challenging to simulate. Reduced-order representations based on tracking only low-order moments of the…

Computational Physics · Physics 2023-08-15 Suryanarayana Maddu , Scott Weady , Michael J. Shelley

Dynamic walking on bipedal robots has evolved from an idea in science fiction to a practical reality. This is due to continued progress in three key areas: a mathematical understanding of locomotion, the computational ability to encode this…

Robotics · Computer Science 2020-10-16 Jenna Reher , Aaron D. Ames

The functional demands of robotic systems often require completing various tasks or behaviors under the effect of disturbances or uncertain environments. Of increasing interest is the autonomy for dynamic robots, such as multirotors, motor…

Robotics · Computer Science 2022-09-16 Wyatt Ubellacker , Aaron Ames
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