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We present a novel nonnegative tensor decomposition method, called Legendre decomposition, which factorizes an input tensor into a multiplicative combination of parameters. Thanks to the well-developed theory of information geometry, the…

Machine Learning · Statistics 2020-01-29 Mahito Sugiyama , Hiroyuki Nakahara , Koji Tsuda

Curving beams are a promising new method for bypassing obstacles in future millimeter-wave to sub-terahertz (sub-THz) networks but lack a general predictive model for their reflections from arbitrary surfaces. We show that, unfortunately,…

Signal Processing · Electrical Eng. & Systems 2026-01-12 Caroline Jane Spindel , Edward Knightly

This report reviews methods of pattern recognition and event reconstruction used in modern high energy physics experiments. After a brief introduction into general concepts of particle detectors and statistical evaluation, different…

Data Analysis, Statistics and Probability · Physics 2009-11-10 Rainer Mankel

Tracking-by-detection has become an attractive tracking technique, which treats tracking as a category detection problem. However, the task in tracking is to search for a specific object, rather than an object category as in detection. In…

Computer Vision and Pattern Recognition · Computer Science 2015-10-13 Changxin Gao , Feifei Chen , Jin-Gang Yu , Rui Huang , Nong Sang

Reconstructing charged particle tracks is a fundamental task in modern collider experiments. The unprecedented particle multiplicities expected at the High-Luminosity Large Hadron Collider (HL-LHC) pose significant challenges for track…

High Energy Physics - Experiment · Physics 2025-12-16 Samuel Van Stroud , Philippa Duckett , Max Hart , Nikita Pond , Sébastien Rettie , Gabriel Facini , Tim Scanlon

In this paper, we present a joint end-to-end line segment detection algorithm using Transformers that is post-processing and heuristics-guided intermediate processing (edge/junction/region detection) free. Our method, named LinE segment…

Computer Vision and Pattern Recognition · Computer Science 2021-05-03 Yifan Xu , Weijian Xu , David Cheung , Zhuowen Tu

This short note modifies a reconstruction method by the author (Comm. PDE, 45(9):1118-1133, 2020), for reconstructing piecewise constant conductivities in the Calder\'on problem (electrical impedance tomography). In the former paper, a…

Analysis of PDEs · Mathematics 2025-12-08 Henrik Garde

The development of complex component software systems can be made more manageable by first creating an abstract model and then incrementally adding details. Model transformation is an approach to add such details in a controlled way. In…

Logic in Computer Science · Computer Science 2015-04-13 Anton Wijs

Classical Transformer-based line segment detection methods have delivered impressive results. However, we observe that some accurately detected line segments are assigned low confidence scores during prediction, causing them to be ranked…

Computer Vision and Pattern Recognition · Computer Science 2025-02-26 Xin Tong , Shi Peng , Baojie Tian , Yufei Guo , Xuhui Huang , Zhe Ma

We describe a method by which the number of intersections one ellipse makes inside the plane of another can be determined. The method is based on applying a transformation that reverts one ellipse to the unit circle, and examining the…

Geometric Topology · Mathematics 2025-09-19 Jonathan Strange , Ryan Blair , Alexander R. Klotz

In HEP experiments the description of the trajectory of a charged particle is obtained from a fit to measurements in tracking detectors. The parametrization of the trajectory has to account for bending in the magnetic field, energy loss and…

Instrumentation and Detectors · Physics 2012-01-23 Claus Kleinwort

A track finding algorithm has been developed for reconstruction of e+e- pairs. It combines the information of the electromagnetic calorimeter with the information provided by the Tracker. Results on reconstruction efficiency of converted…

Data Analysis, Statistics and Probability · Physics 2017-08-23 Nancy Marinelli

Analysis of data from particle physics experiments traditionally sacrifices some sensitivity to new particles for the sake of practical computability, effectively ignoring some potentially striking signatures. However, recent advances in…

High Energy Physics - Experiment · Physics 2025-10-21 Qiyu Sha , Daniel Murnane , Max Fieg , Shelley Tong , Mark Zakharyan , Yaquan Fang , Daniel Whiteson

Time series anomaly detection is crucial for maintaining stable systems. Existing methods face two main challenges. First, it is difficult to directly model the dependencies of diverse and complex patterns within the sequences. Second, many…

Machine Learning · Computer Science 2025-04-22 Wenxin Zhang , Cuicui Luo

The concept of measurement in classical scattering is interpreted as an overlap of a particle packet with some area in phase space that describes the detector. Considering that usually we record the passage of particles at some point in…

Classical Physics · Physics 2010-04-27 C Jung , T H Seligman , J M Torres

In this paper, we consider Legendre trajectories of trans-$S$-manifolds. We obtain curvature characterizations of these curves and give a classification theorem. We also investigate Legendre curves whose Frenet frame fields are linearly…

Differential Geometry · Mathematics 2022-02-01 Şaban Güvenç

We propose a new algorithm for real-time detection and tracking of elliptic patterns suitable for real-world robotics applications. The method fits ellipses to each contour in the image frame and rejects ellipses that do not yield a good…

Robotics · Computer Science 2021-12-09 Azarakhsh Keipour , Guilherme A. S. Pereira , Sebastian Scherer

This paper proposes new methods for analyzing dynamic images registered by multichannel, highly sensitive detectors with low spatial but high temporal resolution. The principal characteristic of the approach is the absence of factorization…

Instrumentation and Methods for Astrophysics · Physics 2024-10-10 S. A. Sharakin , R. E. Saraev

Lane detection, the process of identifying lane markings as approximated curves, is widely used for lane departure warning and adaptive cruise control in autonomous vehicles. The popular pipeline that solves it in two steps -- feature…

Computer Vision and Pattern Recognition · Computer Science 2020-12-01 Ruijin Liu , Zejian Yuan , Tie Liu , Zhiliang Xiong

Entanglement is fundamental inasmuch because it rephrases the quest for the classical-quantum demarcation line, and it also has potentially enormous practical applications in modern information technology. In this work, employing the…

Quantum Physics · Physics 2024-06-26 Xiaofen Huang , Tinggui Zhang , Naihuan Jing
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