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Measurements of the position of a relativistic particle is considered in the framework of the Restricted-Path-Integral (RPI) approach. The amplitude describing such a measurement is shown to be exponentially small outside the light cone of…

Quantum Physics · Physics 2009-11-06 Michael B. Mensky , Horst von Borzeszkowski

The goal of this note is to fill a gap in the proof of the first two items of Theorem 5.1 in [4], which relies on Polya type inequalities and the characterization of the equality cases for monotone rearrangements given in Propositions 4.1…

Analysis of PDEs · Mathematics 2025-03-10 B. Pellacci , G. Pisante , D. Schiera

It has been pointed out to the author by David Glickenstein that the proof of the (closely related) Lemmas 1.2 and 3.2 in the title paper is incorrect. The statements of both Lemmas are correct, and the purpose of this note is to give a…

Metric Geometry · Mathematics 2007-05-23 Igor Rivin

In future linear colliders the luminosity will depend on maintaining the small emittance aspect ratio delivered by damping rings. Correction of cross-plane coupling can be important in preventing dilution of the beam emittance. In order to…

Accelerator Physics · Physics 2007-05-23 M. D. Woodley , P. E. Emma

We address the problem of estimating the inputs of a dynamical system from measurements of the system's outputs. To this end, we introduce a novel estimation algorithm that explicitly trades off bias and variance to optimally reduce the…

Machine Learning · Computer Science 2019-09-20 Sebastian Curi , Kfir Y. Levy , Andreas Krause

Anytime a robot manipulator is controlled via visual feedback, the transformation between the robot and camera frame must be known. However, in the case where cameras can only capture a portion of the robot manipulator in order to better…

Robotics · Computer Science 2021-09-07 Florian Richter , Jingpei Lu , Ryan K. Orosco , Michael C. Yip

The method to estimate the predictability of human mobility was proposed in [C. Song \emph{et al.}, Science {\bf 327}, 1018 (2010)], which is extensively followed in exploring the predictability of disparate time series. However, the…

Physics and Society · Physics 2019-03-27 Paiheng Xu , Likang Yin , Zhongtao Yue , Tao Zhou

In this paper, we propose a novel model for time series prediction in which difference-attention LSTM model and error-correction LSTM model are respectively employed and combined in a cascade way. While difference-attention LSTM model…

Machine Learning · Computer Science 2020-08-26 Yuxuan Liu , Jiangyong Duan , Juan Meng

Localization is an important required task for enabling vehicle autonomy for underwater vehicles. Localization entails the determination of position of the center of mass and orientation of a vehicle from the available measurements. In this…

Optimization and Control · Mathematics 2019-07-03 Sai Krishna Kanth Hari , Kaarthik Sundar , Jose Braga , Joao Teixeira , Joao Sousa , Swaroop Darbha

Continuum fitting uncertainties are a major source of error in estimates of the temperature-density relation (usually parametrized as a power-law, $T \propto \Delta^{\gamma - 1} $) of the inter-galactic medium (IGM) through the flux…

Cosmology and Nongalactic Astrophysics · Physics 2012-09-28 Khee-Gan Lee

The high accuracy of modern space astrometry requires the use of General Relativity to model the propagation of stellar light through the gravitational field encountered from a source to a given observer inside the Solar System. In this…

General Relativity and Quantum Cosmology · Physics 2009-02-17 Mariateresa Crosta , Alberto Vecchiato

The problem of identifying the 3D pose of a known object from a given 2D image has important applications in Computer Vision. Our proposed method of registering a 3D model of a known object on a given 2D photo of the object has numerous…

Computer Vision and Pattern Recognition · Computer Science 2013-12-02 Srimal Jayawardena , Marcus Hutter , Nathan Brewer

Looming, traditionally defined as the relative expansion of objects in the observer's retina, is a fundamental visual cue for perception of threat and can be used to accomplish collision free navigation. The measurement of the looming cue…

Computer Vision and Pattern Recognition · Computer Science 2022-03-16 Juan D. Yepes , Daniel Raviv

In this work, we tackle the problem of online camera-to-robot pose estimation from single-view successive frames of an image sequence, a crucial task for robots to interact with the world.

Robotics · Computer Science 2023-07-25 Yang Tian , Jiyao Zhang , Zekai Yin , Hao Dong

Human pose estimation is a key step to action recognition. We propose a method of estimating 3D human poses from a single image, which works in conjunction with an existing 2D pose/joint detector. 3D pose estimation is challenging because…

Computer Vision and Pattern Recognition · Computer Science 2014-06-10 Chunyu Wang , Yizhou Wang , Zhouchen Lin , Alan L. Yuille , Wen Gao

We propose an approach for estimating the relative pose between calibrated image pairs by jointly exploiting points, lines, and their coincidences in a hybrid manner. We investigate all possible configurations where these data modalities…

Computer Vision and Pattern Recognition · Computer Science 2023-09-29 Petr Hruby , Shaohui Liu , Rémi Pautrat , Marc Pollefeys , Daniel Barath

The attitude of a rigid body evolves on the three-dimensional special orthogonal group, and it is often estimated by measuring reference directions, such as gravity or magnetic field, using an onboard sensor. As a single direction…

Optimization and Control · Mathematics 2021-07-01 Weixin Wang , Kanishke Gamagedara , Taeyoung Lee

A new procedure of the linear position measurement which allows to obtain sensitivity better than the Standard Quantum Limit and close to the Energetic Quantum Limit is proposed and analyzed in details. Proposed method is based on the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 S. L. Danilishin , F. Ya. Khalili

Due to the omission of a hypothesis from an elementary lemma in the author's paper "Gleason parts and point derivations for uniform algebras with dense invertible group", some of the proofs presented in that paper are flawed. We prove here…

Complex Variables · Mathematics 2019-10-28 Alexander J. Izzo

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
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