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This article considers a nonparametric method for detecting change points in non-stationary time series. The proposed method will divide the time series into several segments so that between two adjacent segments, the normalized spectral…

Statistics Theory · Mathematics 2020-11-05 Zixiang Guan , Gemai Chen

Time-series anomaly detection deals with the problem of detecting anomalous timesteps by learning normality from the sequence of observations. However, the concept of normality evolves over time, leading to a "new normal problem", where the…

Machine Learning · Computer Science 2024-01-23 Dongmin Kim , Sunghyun Park , Jaegul Choo

Electronic health records (EHR) consist of longitudinal clinical observations portrayed with sparsity, irregularity, and high-dimensionality, which become major obstacles in drawing reliable downstream clinical outcomes. Although there…

Machine Learning · Computer Science 2020-11-17 Ahmad Wisnu Mulyadi , Eunji Jun , Heung-Il Suk

Time series classification has received great attention over the past decade with a wide range of methods focusing on predictive performance by exploiting various types of temporal features. Nonetheless, little emphasis has been placed on…

Machine Learning · Computer Science 2018-09-17 Isak Karlsson , Jonathan Rebane , Panagiotis Papapetrou , Aristides Gionis

We present a novel approach to test for heteroscedasticity of a non-stationary time series that is based on Gini's mean difference of logarithmic local sample variances. In order to analyse the large sample behaviour of our test statistic,…

Statistics Theory · Mathematics 2021-05-24 Sara Kristin Schmidt , Max Wornowizki , Roland Fried , Herold Dehling

This work presents a framework for studying temporal networks using zigzag persistence, a tool from the field of Topological Data Analysis (TDA). The resulting approach is general and applicable to a wide variety of time-varying graphs. For…

Computational Geometry · Computer Science 2023-08-15 Audun Myers , David Muñoz , Firas Khasawneh , Elizabeth Munch

A new method is proposed which allows a reconstruction of time series based on higher order multiscale statistics given by a hierarchical process. This method is able to model the time series not only on a specific scale but for a range of…

Data Analysis, Statistics and Probability · Physics 2009-11-13 A. P. Nawroth , J. Peinke

Many studies of biomedical time series signals aim to measure the association between frequency-domain properties of time series and clinical and behavioral covariates. However, the time-varying dynamics of these associations are largely…

Methodology · Statistics 2016-10-05 Scott A. Bruce , Martica H. Hall , Daniel J. Buysse , Robert T. Krafty

Electronic records contain sequences of events, some of which take place all at once in a single visit, and others that are dispersed over multiple visits, each with a different timestamp. We postulate that fine temporal detail, e.g.,…

Machine Learning · Computer Science 2019-04-30 Mohammad Taha Bahadori , Zachary Chase Lipton

Classification of time series is a growing problem in different disciplines due to the progressive digitalization of the world. Currently, the state-of-the-art in time series classification is dominated by The Hierarchical Vote Collective…

Machine Learning · Computer Science 2021-10-18 Francisco J. Baldán , José M. Benítez

The experimental proofs of strong time invariance violation in optics are discussed. Time noninvariance is the only real physical base for explanation the origin of the most phenomena in nonlinear optics. The experimental study of forward…

General Physics · Physics 2007-05-23 V. A. Kuz'menko

Research into time series classification has tended to focus on the case of series of uniform length. However, it is common for real-world time series data to have unequal lengths. Differing time series lengths may arise from a number of…

Machine Learning · Computer Science 2019-10-11 Chang Wei Tan , Francois Petitjean , Eamonn Keogh , Geoffrey I. Webb

We propose a novel measure of degree heterogeneity, for unweighted and undirected complex networks, which requires only the degree distribution of the network for its computation. We show that the proposed measure can be applied to all…

Physics and Society · Physics 2017-10-03 Rinku Jacob , K. P. Harikrishnan , R. Misra , G. Ambika

For a broad class of nonlinear time series known as Bernoulli shifts, we establish the asymptotic normality of the smoothed periodogram estimator of the long-run variance. This estimator uses only a narrow band of Fourier frequencies around…

Statistics Theory · Mathematics 2025-05-09 Vaidotas Characiejus , Piotr Kokoszka , Xiangdong Meng

In this paper, we propose a technique for time series clustering using community detection in complex networks. Firstly, we present a method to transform a set of time series into a network using different distance functions, where each…

Machine Learning · Statistics 2015-08-20 Leonardo N. Ferreira , Liang Zhao

Time series are widely used as signals in many classification/regression tasks. It is ubiquitous that time series contains many missing values. Given multiple correlated time series data, how to fill in missing values and to predict their…

Machine Learning · Computer Science 2018-05-29 Wei Cao , Dong Wang , Jian Li , Hao Zhou , Lei Li , Yitan Li

Time-reversal (TR) symmetry is crucial for understanding a wide range of physical phenomena, and plays a key role in constraining fundamental particle interactions and in classifying phases of quantum matter. In this work, we introduce an…

Statistical Mechanics · Physics 2026-03-23 Kabir Khanna , Abhishek Kumar , Romain Vasseur , Andreas W. W. Ludwig

Linear models are foundational tools in statistics and ubiquitous across the applied sciences. However, conventional statistical inference -- such as $t$-tests and $F$-tests -- are only valid at fixed sample sizes, making them unsuitable…

Methodology · Statistics 2025-07-08 Michael Lindon , Dae Woong Ham , Martin Tingley , Iavor Bojinov

We investigate the behavior of the Generalized Likelihood Ratio Test (GLRT) (Fan, Zhang and Zhang [Ann. Statist. 29 (2001) 153-193]) for time varying coefficient models where the regressors and errors are non-stationary time series and can…

Statistics Theory · Mathematics 2014-02-05 Zhou Zhou

The limited penetrable horizontal visibility graph algorithm was recently introduced to map time series in complex networks. We extend this visibility graph and create a directed limited penetrable horizontal visibility graph and an image…

Physics and Society · Physics 2018-05-23 Minggang Wang , Andre L. M. Vilela , Ruijin Du , Longfeng Zhao , Gaogao Dong , Lixin Tian , H. Eugene Stanley
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