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Symbolic Aggregate approximation (SAX) is a classical symbolic approach in many time series data mining applications. However, SAX only reflects the segment mean value feature and misses important information in a segment, namely the trend…

Machine Learning · Computer Science 2019-05-03 Yufeng Yu , Yuelong Zhu , Dingsheng Wan , Qun Zhao , Huan Liu

Piecewise Linear Approximation (PLA) is a well-established tool to reduce the size of the representation of time series by approximating the series by a sequence of line segments while keeping the error introduced by the approximation…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-10 Romaric Duvignau , Vincenzo Gulisano , Marina Papatriantafilou , Vladimir Savic

Time series mining is an important branch of data mining, as time series data is ubiquitous and has many applications in several domains. The main task in time series mining is classification. Time series representation methods play an…

Machine Learning · Computer Science 2021-12-28 Muhammad Marwan Muhammad Fuad

Processing and analyzing time series data\-sets have become a central issue in many domains requiring data management systems to support time series as a native data type. A crucial prerequisite of these systems is time series matching,…

Databases · Computer Science 2021-10-12 Lars Kegel , Claudio Hartmann , Maik Thiele , Wolfgang Lehner

This paper introduces a multiscale analysis based on optimal piecewise linear approximations of time series. An optimality criterion is formulated and on its base a computationally effective algorithm is constructed for decomposition of a…

Data Analysis, Statistics and Probability · Physics 2007-05-23 I. Zaliapin , A. Gabrielov , V. Keilis-Borok

The Symbolic Aggregate approXimation (SAX) is a very popular symbolic dimensionality reduction technique of time series data, as it has several advantages over other dimensionality reduction techniques. One of its major advantages is its…

Machine Learning · Computer Science 2020-10-05 Muhammad Marwan Muhammad Fuad

The paper presents a new method of trend extraction in the framework of the Singular Spectrum Analysis (SSA) approach. This method is easy to use, does not need specification of models of time series and trend, allows to extract trend in…

Methodology · Statistics 2009-06-06 Theodore Alexandrov

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

Traditional pairwise sequence alignment is based on matching individual samples from two sequences, under time monotonicity constraints. However, in many application settings matching subsequences (segments) instead of individual samples…

Databases · Computer Science 2016-09-28 Shahriar Shariat , Vladimir Pavlovic

Sample average approximation (SAA) is a technique for obtaining approximate solutions to stochastic programs that uses the average from a random sample to approximate the expected value that is being optimized. Since the outcome from…

Optimization and Control · Mathematics 2026-01-22 Harshit Kothari , James R. Luedtke

This version is ***superseded*** by a full version that can be found at http://www.itu.dk/people/pagh/papers/mining-jour.pdf, which contains stronger theoretical results and fixes a mistake in the reporting of experiments. Abstract:…

Data Structures and Algorithms · Computer Science 2010-02-17 Andrea Campagna , Rasmus Pagh

Domain generalization aim to train models to effectively perform on samples that are unseen and outside of the distribution. Adversarial data augmentation (ADA) is a widely used technique in domain generalization. It enhances the model…

Machine Learning · Computer Science 2024-10-16 Byeong Tak Lee , Joon-myoung Kwon , Yong-Yeon Jo

Detecting anomalies in time series data is a challenging task with broad relevance in many applications. Existing methods work effectively only under idealized conditions, typically focusing on point anomalies or assuming a constant…

Methodology · Statistics 2025-09-01 Yiyin Zhang , Florian Pein , Idris Eckley

This paper considers a structural-factor approach to modeling high-dimensional time series and space-time data by decomposing individual series into trend, seasonal, and irregular components. For ease in analyzing many time series, we…

Methodology · Statistics 2019-03-19 Zhaoxing Gao , Ruey S Tsay

Computing the agreement between two continuous sequences is of great interest in statistics when comparing two instruments or one instrument with a gold standard. The probability of agreement (PA) quantifies the similarity between two…

Methodology · Statistics 2025-05-20 Jonathan Acosta , Ronny Vallejos , Aaron M. Ellison , Felipe Osorio , Mario de Castro

In multivariate time series classification, although current sequence analysis models have excellent classification capabilities, they show significant shortcomings when dealing with long sequence multivariate data, such as prolonged…

Machine Learning · Computer Science 2024-10-29 Enshuo Yan , Huachuan Wang , Weihao Xia

This paper proposes a piecewise autoregression for general integer-valued time series. The conditional mean of the process depends on a parameter which is piecewise constant over time. We derive an inference procedure based on a penalized…

Statistics Theory · Mathematics 2019-11-05 Mamadou Lamine Diop , William Kengne

In this paper we present a novel algorithm and efficient data structure for anomaly detection based on temporal data. Time-series data are represented by a sequence of symbolic time intervals, describing increasing and decreasing trends, in…

Data Structures and Algorithms · Computer Science 2019-11-05 Roni Mateless , Michael Segal , Robert Moskovitch

In recent years, proposed studies on time-series anomaly detection (TAD) report high F1 scores on benchmark TAD datasets, giving the impression of clear improvements in TAD. However, most studies apply a peculiar evaluation protocol called…

Machine Learning · Computer Science 2022-01-05 Siwon Kim , Kukjin Choi , Hyun-Soo Choi , Byunghan Lee , Sungroh Yoon

Time series are difficult to monitor, summarize and predict. Segmentation organizes time series into few intervals having uniform characteristics (flatness, linearity, modality, monotonicity and so on). For scalability, we require fast…

Databases · Computer Science 2007-05-23 Daniel Lemire
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