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In this work, time series analysis techniques are used to analyze sequential, equispaced mass measurements of a Si density artifact, collected from an electromechanical transducer. Specifically, techniques such as Power Spectral Density,…

数据分析、统计与概率 · 物理学 2012-03-01 Dimitra Georgakaki , Chris Mitsas , Hariton Polatoglou

Time series data is used in a wide range of real world applications. In a variety of domains , detailed analysis of time series data (via Forecasting and Anomaly Detection) leads to a better understanding of how events associated with a…

机器学习 · 计算机科学 2022-03-11 Yunus Parvej Faniband , Iskandar Ishak , Sadiq M. Sait

The study of topology is strictly speaking, a topic in pure mathematics. However in only a few years, Topological Data Analysis (TDA), which refers to methods of utilizing topological features in data (such as connected components, tunnels,…

应用统计 · 统计学 2019-09-25 Nalini Ravishanker , Renjie Chen

Spectroscopically measuring low levels of non-equilibrium phenomena (e.g. emission in the presence of a large thermal background) can be problematic due to an unfavorable signal-to-noise ratio. An approach is presented to use time-series…

地球物理 · 物理学 2015-04-08 John Scoville

This paper introduces new methodology based on the field of Topological Data Analysis for detecting anomalies in multivariate time series, that aims to detect global changes in the dependency structure between channels. The proposed…

统计理论 · 数学 2024-06-11 Frédéric Chazal , Martin Royer , Clément Levrard

Improvement in time resolution sometimes introduces short-range random noises into temporal data sequences. These noises affect the results of power-spectrum analyses and the Detrended Fluctuation Analysis (DFA). The DFA is one of useful…

数据分析、统计与概率 · 物理学 2009-02-05 Shin-ichi Tadaki

Singular spectrum analysis (SSA), starting from the second half of the XX century, has been a rapidly developing method of time series analysis. Since it can be called principal component analysis for time series, SSA will definitely be a…

统计方法学 · 统计学 2021-01-26 Nina Golyandina

As a consequence of the high variability of load demand and renewable generation, long-term and high-resolution inputs are required for power system expansion planning, making the problem intractable in real-world applications. Time series…

最优化与控制 · 数学 2025-10-29 Ruiqi Zhang , Ensieh Sharifnia , Simon H. Tindemans

Acquisition and analysis of time-tagged events is a ubiquitous tool in scientific and industrial applications. With increasing time resolution, number of input channels, and acquired events, the amount of data can be overwhelming for…

仪器与探测器 · 物理学 2021-08-31 Zuzeng Lin , Lucas Schweickert , Samuel Gyger , Klaus D. Jöns , Val Zwiller

Time series aggregation (TSA) aims to construct temporally aggregated optimization models that accurately represent the output space of their full-scale counterparts while using a significantly reduced temporal dimensionality. This paper…

最优化与控制 · 数学 2026-03-16 Thomas Klatzer , David Cardona-Vasquez , Luca Santosuosso , Sonja Wogrin

Singular spectrum analysis (SSA) as a nonparametric tool for decomposition of an observed time series into sum of interpretable components such as trend, oscillations and noise is considered. The separability of these series components by…

统计方法学 · 统计学 2016-01-25 Nina Golyandina , Alex Shlemov

The continuous advances in data collection and storage techniques allow us to observe and record real-life processes in great detail. Examples include financial transaction data, fMRI images, satellite photos, earths pollution distribution…

统计方法学 · 统计学 2015-02-26 Łukasz Kidziński

Time Series Analysis (TSA) is a critical workload to extract valuable information from collections of sequential data, e.g., detecting anomalies in electrocardiograms. Subsequence Dynamic Time Warping (sDTW) is the state-of-the-art…

E-science of photometric data requires automatic procedures and a precise recognition of periodic patterns to perform science as well as possible on large data. Analytical equations that enable us to set the best constraints to properly…

天体物理仪器与方法 · 物理学 2018-09-19 C. E. Ferreira Lopes , N. J. G. Cross , F. Jablonski

Time series anomaly detection (TSAD) is an evolving area of research motivated by its critical applications, such as detecting seismic activity, sensor failures in industrial plants, predicting crashes in the stock market, and so on. Across…

Correlation coefficients play a pivotal role in quantifying linear relationships between random variables. Yet, their application to time series data is very challenging due to temporal dependencies. This paper introduces a novel approach…

统计方法学 · 统计学 2024-01-09 Johan Medrano , Abderrahmane Kheddar , Sofiane Ramdani

Time series analysis is fundamental to characterizing the variability inherent in multi-wavelength emissions from blazars. However, a major observational challenge lies in the need for well-sampled, temporally uniform data, which is often…

高能天体物理现象 · 物理学 2025-10-23 P. Peñil , N. Torres-Albà , A. Rico , S. Buson , M. Ajello , A. Domínguez , S. Adhikari

One of the fundamental problems of using optimization models that use different time series as data input, is the trade-off between model accuracy and computational tractability. To overcome the computational intractability of these full…

最优化与控制 · 数学 2022-06-08 Sonja Wogrin

Time series anomaly detection (TSAD) is becoming increasingly vital due to the rapid growth of time series data across various sectors. Anomalies in web service data, for example, can signal critical incidents such as system failures or…

机器学习 · 计算机科学 2024-11-06 Jiaxin Zhuang , Leon Yan , Zhenwei Zhang , Ruiqi Wang , Jiawei Zhang , Yuantao Gu

Transient stability analysis (TSA) plays an important role in power system analysis to investigate the stability of power system. Traditionally, transient stability analysis methods have been developed using time domain simulation by means…

系统与控制 · 电气工程与系统科学 2021-06-08 Xiang Zhang , Renchang Dai , Peng Wei , Yijing Liu , Guangyi Liu , Zhiwei Wang
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