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It is well known that the length and orientation of a shadow cast by a vertical gnomon depends on the time of the day and on the season of the year. But it also depends on the latitude of the site of observation. During the equinoxes, the…

科普物理 · 物理学 2015-06-16 Nestor Camino , Alejandro Gangui

Dual-comb (DC) ranging is an established method for high-precision and high-accuracy distance measurements. It is, however, restricted by an inherent length ambiguity and the requirement for complex control loops for comb stabilization.…

Mathematical methods of step-by-step and combined shifts are proposed for experimental data processing to reconstruct the measuring system impulse response distorted by shift-invariant blur. Proposed methods base on direct non-blind…

信号处理 · 电气工程与系统科学 2019-01-24 Andrey V. Novikov-Borodin

The properties of the Bigeometric or proportional derivative are presented and discussed explicitly. Based on this derivative, the Bigeometric Taylor theorem is worked out. As an application of this calculus, the Bigeometric Runge-Kutta…

综合数学 · 数学 2015-01-21 Mustafa Riza , BuĞÇE EminaĞA

Clever sampling methods can be used to improve the handling of big data and increase its usefulness. The subject of this study is remote sensing, specifically airborne laser scanning point clouds representing different classes of ground…

机器学习 · 统计学 2014-09-17 Ronald Hochreiter , Christoph Waldhauser

As robotics advances toward integrating soft structures, anthropomorphic shapes, and complex tasks, soft and highly stretchable mechanotransducers are becoming essential. To reliably measure tactile and proprioceptive data while ensuring…

机器人学 · 计算机科学 2025-02-26 Lukas Cha , Sonja Groß , Shuai Mao , Tim Braun , Sami Haddadin , Liang He

Tracking the kinematics of fast-moving objects is an important diagnostic tool for science and engineering. Existing optical methods include high-speed CCD/CMOS imaging, streak cameras, lidar, serial time-encoded imaging and sequentially…

Invariant measures encode the long-time behaviour of a dynamical system. In this work, we propose an optimization-based method to discover invariant measures directly from data gathered from a system. Our method does not require an explicit…

动力系统 · 数学 2025-10-09 Jason J. Bramburger , Giovanni Fantuzzi

Existing drift detection methods focus on designing sensitive test statistics. They treat the detection threshold as a fixed hyperparameter, set once to balance false alarms and late detections, and applied uniformly across all datasets and…

机器学习 · 计算机科学 2025-11-14 Pengqian Lu , Jie Lu , Anjin Liu , En Yu , Guangquan Zhang

We study a fully discrete finite element method for variable-order time-fractional diffusion equations with a time-dependent variable order. Optimal convergence estimates are proved with the first-order accuracy in time (and second order…

数值分析 · 数学 2019-05-15 Xiangcheng Zheng , Fanhai Zeng , Hong Wang

This paper proposes a method of estimating a target-object shape, the location of which is unknown, through the use of location-unknown mobile distance sensors. The direction of the sensor is fixed from the moving direction. Typically,…

信号处理 · 电气工程与系统科学 2017-12-04 Hiroshi Saito

We consider the problem of tracking moving targets using mobile wireless sensors (of possibly different types). This is a joint estimation and control problem in which a tracking system must take into account both target and sensor…

信号处理 · 电气工程与系统科学 2025-03-03 Jingwei Hu , Dave Zachariah , Petre Stoica

The time discretization of stochastic spectral fractional wave equation is studied by using the difference methods. Firstly, we exploit rectangle formula to get a low order time discretization, whose the strong convergence order is smaller…

数值分析 · 数学 2021-06-08 Xing Liu

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…

计算机视觉与模式识别 · 计算机科学 2020-01-16 Marco Monforte , Ander Arriandiaga , Arren Glover , Chiara Bartolozzi

A new generation of terrestrial gravitational wave detectors is currently being planned for the next decade, and it is expected to detect most of the coalescences of compact objects in the universe with masses up to a thousand times the…

广义相对论与量子宇宙学 · 物理学 2025-10-27 Josiel Mendonça Soares de Souza , Riccardo Sturani

We present a new measurement principle to determine the absolute time delay of a waveform from an optical reference plane to an electrical reference plane and vice versa. We demonstrate a method based on this principle with 2 ps…

光学 · 物理学 2018-05-28 H. Z. Peek , T. J. Pinkert , P. P. M. Jansweijer , J. C. J. Koelemeij

Compressive Sensing, which offers exact reconstruction of sparse signal from a small number of measurements, has tremendous potential for trajectory compression. In order to optimize the compression, trajectory compression algorithms need…

信息论 · 计算机科学 2013-07-29 Rajib Rana , Mingrui Yang , Tim Wark , Chun Tung Chou , Wen Hu

In fiber optic sensing, time delays induced by polarization mode dispersion can distort signals in systems relying on phase or intensity variations for measurement, degrading performance, especially in long distance, high-precision…

光学 · 物理学 2025-01-08 Wei-Qian Zhao , Zi-Fu Su , Ya-Fei Yu , Jin-Dong Wang

With the advancement of GPS and remote sensing technologies, large amounts of geospatial and spatiotemporal data are being collected from various domains, driving the need for effective and efficient prediction methods. Given spatial data…

机器学习 · 计算机科学 2020-12-25 Zhe Jiang

We investigate an inverse source problem of the time-harmonic elastic wave equation. Some novel sampling-type numerical schemes are proposed to identify the moment tensor point sources in the Lam\'e system from near-field measurements.…

数值分析 · 数学 2021-11-24 Xianchao Wang , Yukun Guo , Sara Bousba