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Machine learning (ML) methods provide advanced means for understanding inherent patterns within large and complex datasets. Here, we employ the principal component analysis (PCA) and the diffusion map (DM) techniques to evaluate the glass…

Soft Condensed Matter · Physics 2024-07-01 Artem Glova , Mikko Karttunen

Kernel principal component analysis (KPCA) is a well-recognized nonlinear dimensionality reduction method that has been widely used in nonlinear fault detection tasks. As a kernel trick-based method, KPCA inherits two major problems. First,…

Machine Learning · Computer Science 2024-10-28 Zelin Ren , Xuebing Yang , Yuchen Jiang , Wensheng Zhang

In this work, the residual complexity (RC) similarity measure, is employed for time delay estimation (TDE) in gas pipe leak localization. The properties of TDE by RC is compared with those of Cross Correlation(CC) and Mutual Information(MI)…

Instrumentation and Detectors · Physics 2013-08-27 A. M. Ahmadi , A. Amjadi , A. R. Bahrampour , H. Ravanbod

This machine learning study investigates a lowcost edge device integrated with an embedded system having computer vision and resulting in an improved performance in inferencing time and precision of object detection and classification. A…

Robotics · Computer Science 2024-10-08 Richard C. Rodriguez , Jonah Elijah P. Bardos

Current and next-generation particle tracking detectors will incorporate precision timing capabilities with resolutions approaching tens of picoseconds. Using Technology Computer-Aided Design (TCAD) simulations of Low-Gain Avalanche Diode…

Deep learning (DL) compilers rely on cost models and auto-tuning to optimize tensor programs for target hardware. However, existing approaches depend on large offline datasets, incurring high collection costs and offering suboptimal…

Machine Learning · Computer Science 2026-04-15 Chaoyao Shen , Linfeng Jiang , Yixian Shen , Tao Xu , Guoqing Li , Anuj Pathania , Andy D. Pimentel , Meng Zhang

We study the distributed computing setting in which there are multiple servers, each holding a set of points, who wish to compute functions on the union of their point sets. A key task in this setting is Principal Component Analysis (PCA),…

Machine Learning · Computer Science 2014-12-24 Maria-Florina Balcan , Vandana Kanchanapally , Yingyu Liang , David Woodruff

In this paper, we propose a new algorithm for the estimation of multiple time delays (TDs). Since a TD is a fundamental spatial cue for sensor array signal processing techniques, many methods for estimating it have been studied. Most of…

Signal Processing · Electrical Eng. & Systems 2022-03-24 Kouei Yamaoka , Yukoh Wakabayashi , Nobutaka Ono

Factor analysis and principal component analysis (PCA) are used in many application areas. The first step, choosing the number of components, remains a serious challenge. Our work proposes improved methods for this important problem. One of…

Methodology · Statistics 2019-09-17 Edgar Dobriban , Art B. Owen

Ultrasound shear wave elasticity imaging is a valuable tool for quantifying the elastic properties of tissue. Typically, the shear wave velocity is derived and mapped to an elasticity value, which neglects information such as the shape of…

Image and Video Processing · Electrical Eng. & Systems 2022-04-29 Maximilian Neidhardt , Marcel Bengs , Sarah Latus , Stefan Gerlach , Christian J. Cyron , Johanna Sprenger , Alexander Schlaefer

The problem of principle component analysis (PCA) is traditionally solved by spectral or algebraic methods. We show how computing the leading principal component could be reduced to solving a \textit{small} number of well-conditioned {\it…

Optimization and Control · Mathematics 2015-11-26 Dan Garber , Elad Hazan

Electroencephalography (EEG) signals are resultants of extremely complex brain activity. Some details of this hidden dynamics might be accessible through e.g. joint distributions $\rho_{\Delta t}$ of signals of pairs of electrodes shifted…

Signal Processing · Electrical Eng. & Systems 2023-05-30 Jarek Duda

Gait recognition aims to distinguish different walking patterns by analyzing video-level human silhouettes, rather than relying on appearance information. Previous research on gait recognition has primarily focused on extracting local or…

Computer Vision and Pattern Recognition · Computer Science 2023-07-26 Qian Wu , Ruixuan Xiao , Kaixin Xu , Jingcheng Ni , Boxun Li , Ziyao Xu

Track finding and fitting algorithm in the ALICE Time projection chamber (TPC) based on Kalman-filtering is presented. Implementation of particle identification (PID) using d$E$/d$x$ measurement is discussed. Filtering and PID algorithm is…

Data Analysis, Statistics and Probability · Physics 2007-05-23 M. Ivanov , K. Safarik , Y. Belikov , J. Bracinik

The measurement of optical ultrafast laser pulses is done indirectly because the required bandwidth to measure these pulses exceeds the bandwidth of current electronics. As a result, this measurement problem is often posed as a 1-D phase…

Optics · Physics 2023-04-28 Daniel J Kane , Andrei B. Vakhtin

Spectral clustering is a novel clustering method which can detect complex shapes of data clusters. However, it requires the eigen decomposition of the graph Laplacian matrix, which is proportion to $O(n^3)$ and thus is not suitable for…

Machine Learning · Computer Science 2013-07-02 Nguyen Lu Dang Khoa , Sanjay Chawla

The generalized cross correlation (GCC) is regarded as the most popular approach for estimating the time difference of arrival (TDOA) between the signals received at two sensors. Time delay estimates are obtained by maximizing the GCC…

Audio and Speech Processing · Electrical Eng. & Systems 2020-03-25 Maximo Cobos , Fabio Antonacci , Luca Comanducci , Augusto Sarti

The discovery of Partial Differential Equations (PDEs) is an essential task for applied science and engineering. However, data-driven discovery of PDEs is generally challenging, primarily stemming from the sensitivity of the discovered…

Machine Learning · Statistics 2024-03-27 Aoxue Chen , Yifan Du , Liyao Mars Gao , Guang Lin

Principal Component Analysis (PCA) is a very successful dimensionality reduction technique, widely used in predictive modeling. A key factor in its widespread use in this domain is the fact that the projection of a dataset onto its first…

Machine Learning · Statistics 2017-05-19 Xianghui Luo , Robert J. Durrant

Pseudospectral approximation provides a means to approximate the dynamics of delay differential equations (DDE) by ordinary differential equations (ODE). This article develops a computer-aided algorithm to determine the distance between the…

Dynamical Systems · Mathematics 2024-05-14 Shane Kepley , Babette A. J. de Wolff