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A method is proposed to generate an optimal fit of a number of connected linear trend segments onto time-series data. To be able to efficiently handle many lines, the method employs a stochastic search procedure to determine optimal…

Quantitative Methods · Quantitative Biology 2017-04-11 Myrl G. Marmarelis

This contribution is the chapter 2 of the book "geodetic time series analysis" (10.1007/978-3-030-21718-1). The book is dedicated to the art of fitting a trajectory model to those geodetic time series in order to extract accurate…

Other Statistics · Statistics 2019-08-30 Machiel S. Bos , Jean-Philippe Montillet , Simon D. P. Williams , Rui M. S. Fernandes

Causal discovery between collections of time-series data can help diagnose causes of symptoms and hopefully prevent faults before they occur. However, reliable causal discovery can be very challenging, especially when the data acquisition…

Machine Learning · Computer Science 2023-01-12 Haonan Chen , Bo Yuan Chang , Mohamed A. Naiel , Georges Younes , Steven Wardell , Stan Kleinikkink , John S. Zelek

In this work the significance of treating a set of measurements as a time series is being explored. Time Series Analysis (TSA) techniques, part of the Exploratory Data Analysis (EDA) approach, can provide much insight regarding the…

Data Analysis, Statistics and Probability · Physics 2012-03-01 Dimitra Georgakaki , Chris Mitsas , Hariton Polatoglou

Recent advances in data collection technology, accompanied by the ever-rising volume and velocity of streaming data, underscore the vital need for time series analytics. In this regard, time-series anomaly detection has been an important…

Machine Learning · Computer Science 2024-12-31 Paul Boniol , Qinghua Liu , Mingyi Huang , Themis Palpanas , John Paparrizos

Real-world deployment of machine learning models is challenging because data evolves over time. While no model can work when data evolves in an arbitrary fashion, if there is some pattern to these changes, we might be able to design methods…

Machine Learning · Computer Science 2024-05-03 Rasool Fakoor , Jonas Mueller , Zachary C. Lipton , Pratik Chaudhari , Alexander J. Smola

Examples of cyclic (periodic) behavior in geophysical data abound. In many cases the primary period is known, such as in daily measurements of rain, temperature, and sea level. However, many time series of measurements contain cycles of…

Methodology · Statistics 2019-10-08 Xueheng Shi , Colin Gallagher

The study of experimental data is a relevant task in several physical, chemical and biological applications. In particular, the analysis of chaotic dynamics in cardiac systems is crucial as it can be related to some pathological…

An increasing body of research focuses on using neural networks to model time series. A common assumption in training neural networks via maximum likelihood estimation on time series is that the errors across time steps are uncorrelated.…

Machine Learning · Computer Science 2021-10-12 Fan-Keng Sun , Christopher I. Lang , Duane S. Boning

Context: Several approaches to estimate frequency, phase and amplitude errors in time series analyses were reported in the literature, but they are either time consuming to compute, grossly overestimating the error, or are based on…

Astrophysics · Physics 2009-11-13 T. Kallinger , P. Reegen , W. W. Weiss

In machine learning, a bias occurs whenever training sets are not representative for the test data, which results in unreliable models. The most common biases in data are arguably class imbalance and covariate shift. In this work, we aim to…

Machine Learning · Computer Science 2018-04-04 Patrick Glauner , Radu State , Petko Valtchev , Diogo Duarte

Information on natural phenomena and engineering systems is typically contained in data. Data can be corrupted by systematic errors in models and experiments. In this paper, we propose a tool to uncover the spatiotemporal solution of the…

Fluid Dynamics · Physics 2023-06-21 Daniel Kelshaw , Luca Magri

Time series data captures properties that change over time. Such data occurs widely, ranging from the scientific and medical domains to the industrial and environmental domains. When the properties in time series exhibit spatial variations,…

Databases · Computer Science 2025-04-03 Bin Yang , Yuxuan Liang , Chenjuan Guo , Christian S. Jensen

Periodicity detection is an important task in time series analysis, but still a challenging problem due to the diverse characteristics of time series data like abrupt trend change, outlier, noise, and especially block missing data. In this…

Machine Learning · Computer Science 2023-03-08 Qingsong Wen , Linxiao Yang , Liang Sun

In the traditional framework of spectral learning of stochastic time series models, model parameters are estimated based on trajectories of fully recorded observations. However, real-world time series data often contain missing values, and…

Machine Learning · Computer Science 2018-10-22 Tianlin Liu

Time series forecasting plays a crucial role in many real-world applications, and numerous complex forecasting models have been proposed in recent years. Despite their architectural innovations, most state-of-the-art models report only…

Machine Learning · Computer Science 2025-05-28 Reza Nematirad , Anil Pahwa , Balasubramaniam Natarajan

Time series classification is an important task in its own right, and it is often a precursor to further downstream analytics. To date, virtually all works in the literature have used either shape-based classification using a distance…

Machine Learning · Computer Science 2019-12-23 Sara Alaee , Alireza Abdoli , Christian Shelton , Amy C. Murillo , Alec C. Gerry , Eamonn Keogh

Distant and weak supervision allow to obtain large amounts of labeled training data quickly and cheaply, but these automatic annotations tend to contain a high amount of errors. A popular technique to overcome the negative effects of these…

Machine Learning · Computer Science 2021-03-02 Michael A. Hedderich , Dawei Zhu , Dietrich Klakow

This paper addresses the problem of detecting and characterizing local variability in time series and other forms of sequential data. The goal is to identify and characterize statistically significant variations, at the same time…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Jeffrey D. Scargle , Jay P. Norris , Brad Jackson , James Chiang

Sensor data has been playing an important role in machine learning tasks, complementary to the human-annotated data that is usually rather costly. However, due to systematic or accidental mis-operations, sensor data comes very often with a…

Machine Learning · Computer Science 2017-11-22 Jingguang Zhou , Zili Huang
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