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In this paper, we systematically review a series of effective methods for studying the qualitative properties of solutions to fractional equations. Beginning with the pioneering extension method and the method of moving planes in integral…

Analysis of PDEs · Mathematics 2026-01-28 Wenxiong Chen , Yahong Guo , Congming Li

A common way of speeding up powder diffraction measurements is the use of one or two dimensional detectors. This usually goes along with worse resolution and asymmetric peak profiles. In this work the influence of a straight linear detector…

Materials Science · Physics 2015-03-26 Dominik Kriegner , Zdenek Matej , Radomir Kuzel , Vaclav Holy

We present a method to over-approximate reachable tubes over compact time-intervals, for linear continuous-time, time-varying control systems whose initial states and inputs are subject to compact convex uncertainty. The method uses…

Optimization and Control · Mathematics 2021-02-10 Mohamed Serry , Gunther Reissig

This work is concerned with an inverse scattering problem of determining unknown scatterers from time-dependent acoustic measurements. A novel time-domain direct sampling method is developed to efficiently determine both the locations and…

Numerical Analysis · Mathematics 2023-12-08 Yukun Guo , Hongjie Li , Xianchao Wang

This paper presents a method for real-time estimation of 2-dimensional direction of arrival (2D-DOA) of one or more sound sources using a nonlinear array of three microphones. 2D-DOA is estimated employing frame-level time difference of…

Audio and Speech Processing · Electrical Eng. & Systems 2023-05-10 Anton Kovalyov , Kashyap Patel , Issa Panahi

This paper presents a new approach to the detection of discontinuities in the n-th derivative of observational data. This is achieved by performing two polynomial approximations at each interstitial point. The polynomials are coupled by…

Signal Processing · Electrical Eng. & Systems 2019-12-02 Dimitar Ninevski , Paul O'Leary

We focus in this paper in the estimation of a target trajectory defined by whether a time constant parameter in a simple stochastic process or a random walk with binary observations. The binary observation comes from binary derivative…

Information Theory · Computer Science 2012-04-25 Adrien Ickowicz

We have developed a new technique called Direct Shear Mapping (DSM) to measure gravitational lensing shear directly from observations of a single background source. The technique assumes the velocity map of an un-lensed, stably-rotating…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-26 Catherine O. de Burgh-Day , Edward N. Taylor , Rachel L. Webster , Andrew M. Hopkins

This work presents a numerical investigation of different approximation techniques for the temporal weights used in the Dual Weighted Residual (DWR) method applied to a time-dependent convection-diffusion equation which is assumed to be…

Numerical Analysis · Mathematics 2024-07-19 Marius Paul Bruchhäuser , Markus Bause

Measuring device is proposed for determining a linear dimension. The device comprises three associated longitudinally moving parts one of which is a scale. The integer part of the device reading is being taken from the standard millimeter…

Instrumentation and Detectors · Physics 2014-11-25 Zaid A. I. Alsmadi , Ahmad B. B. Badry , Irfan A. Badruddin , T. M. Indra Mahlia

In the data deluge context, pattern recognition or labeling in streams is becoming quite an essential and pressing task as data flows inside always bigger streams. The assessment of such tasks is not so easy when dealing with temporal data,…

Information Retrieval · Computer Science 2016-12-01 Pierre-François Marteau

This paper presents the method for the localization and grabbing of the long straight conductor based only on the magnetic field generated by the alternating current flowing through the conductor. The method uses two magnetometers mounted…

Robotics · Computer Science 2023-09-12 Goran Vasiljevic , Dean Martinovic , Matko Orsag , Stjepan Bogdan

In the field of bioimaging, an important part of analyzing the motion of objects is tracking. We propose a method that applies the Sinkhorn distance for solving the optimal transport problem to track objects. The advantage of this method is…

Image and Video Processing · Electrical Eng. & Systems 2019-09-04 Daigo Okada , Naotoshi Nakamura , Takuya Wada , Ayako Iwasaki , Ryo Yamada

The wideband timing technique enables the high-precision simultaneous estimation of pulsar Times of Arrival (ToAs) and Dispersion Measures (DMs) while effectively modeling frequency-dependent profile evolution. We present two novel…

Many time series data mining problems can be solved with repeated use of distance measure. Examples of such tasks include similarity search, clustering, classification, anomaly detection and segmentation. For over two decades it has been…

Machine Learning · Computer Science 2022-09-07 Renjie Wu , Eamonn J. Keogh

Realtime shape estimation of continuum objects and manipulators is essential for developing accurate planning and control paradigms. The existing methods that create dense point clouds from camera images, and/or use distinguishable markers…

Robotics · Computer Science 2024-10-23 Jiaming Zhang , Zhaomeng Zhang , Yihao Liu , Yaqian Chen , Amir Kheradmand , Mehran Armand

Dimensionality reduction methods are an essential tool for multidimensional data analysis, and many interesting processes can be studied as time-dependent multivariate datasets. There are, however, few studies and proposals that leverage on…

Graphics · Computer Science 2020-02-19 E. F. Vernier , R. Garcia , I. P. da Silva , J. L. D. Comba , A. C. Telea

The Dynamic Time Warping (DTW) is a popular similarity measure between time series. The DTW fails to satisfy the triangle inequality and its computation requires quadratic time. Hence, to find closest neighbors quickly, we use bounding…

Databases · Computer Science 2012-01-16 Daniel Lemire

Starting from a dataset with input/output time series generated by multiple deterministic linear dynamical systems, this paper tackles the problem of automatically clustering these time series. We propose an extension to the so-called…

Systems and Control · Computer Science 2018-03-09 Oliver Lauwers , Bart De Moor

A check of the eccentricity of the aluminised kapton straw tubes used in the BTeV experiment is accomplished using X-ray tomography of the section of tubes modules. 2 and 3-dimensional images of the single tubes and of the modules are…

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