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Time series in real-world applications often have missing observations, making typical analytical methods unsuitable. One method for dealing with missing data is the concept of amplitude modulation. While this principle works with any data,…

Methodology · Statistics 2024-04-19 Simon Nik

Time-series anomaly detection plays an important role in engineering processes, like development, manufacturing and other operations involving dynamic systems. These processes can greatly benefit from advances in the field, as…

Machine Learning · Computer Science 2024-11-22 Lucas Correia , Jan-Christoph Goos , Philipp Klein , Thomas Bäck , Anna V. Kononova

This paper describes a methodology for automated univariate time series forecasting using regression trees and their ensembles: bagging and random forests. The key aspects that are addressed are: the use of an autoregressive approach and…

Machine Learning · Computer Science 2026-02-03 Francisco Martínez , María P. Frías

Missing data arises when certain values are not recorded or observed for variables of interest. However, most of the statistical theory assume complete data availability. To address incomplete databases, one approach is to fill the gaps…

Handling missing data in time series is a complex problem due to the presence of temporal dependence. General-purpose imputation methods, while widely used, often distort key statistical properties of the data, such as variance and…

Methodology · Statistics 2026-03-18 Guilherme Pumi , Taiane Schaedler Prass , Douglas Krauthein Verdum

Missing data are ubiquitous in empirical databases, yet statistical analyses typically require complete data matrices. Multiple imputation offers a principled solution for filling these gaps. This study evaluates the performance of several…

Computation · Statistics 2026-02-05 Enzo Porto Brasil

Periodic autoregressive (PAR) time series with finite variance is considered as one of the most common models of second-order cyclostationary processes. However, in the real applications, the signals with periodic characteristics may be…

Methodology · Statistics 2024-03-13 Wojciech Żuławiński , Agnieszka Wyłomańska

COVID-19 pandemic has brought to the fore epidemiological models which, though describing a wealth of behaviors, have previously received little attention in signal processing literature. In this work, a generalized time-varying…

Methodology · Statistics 2025-08-13 Barbara Pascal , Samuel Vaiter

Multivariate network time series are ubiquitous in modern systems, yet existing network autoregressive models typically treat nodes as scalar processes, ignoring cross-variable spillovers. To capture these complex interactions without the…

Methodology · Statistics 2026-01-06 Qi Lyu , Xiaoyu Zhang , Guodong Li , Di Wang

Real-world datasets often have missing values associated with complex generative processes, where the cause of the missingness may not be fully observed. This is known as missing not at random (MNAR) data. However, many imputation methods…

Machine Learning · Computer Science 2021-10-29 Chao Ma , Cheng Zhang

Missing values are largely inevitable in gene expression microarray studies. Data sets often have significant omissions due to individuals dropping out of experiments, errors in data collection, image corruptions, and so on. Missing data…

Quantitative Methods · Quantitative Biology 2018-09-18 Marie Li

Earth observation (EO) applications involving complex and heterogeneous data sources are commonly approached with machine learning models. However, there is a common assumption that data sources will be persistently available. Different…

Machine Learning · Computer Science 2024-10-15 Francisco Mena , Diego Arenas , Marcela Charfuelan , Marlon Nuske , Andreas Dengel

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

Missing values widely exist in many real-world datasets, which hinders the performing of advanced data analytics. Properly filling these missing values is crucial but challenging, especially when the missing rate is high. Many approaches…

Machine Learning · Computer Science 2018-08-07 Hongbao Zhang , Pengtao Xie , Eric Xing

Standard approaches for variable selection in linear models are not tailored to deal properly with high-dimensional and incomplete data. Currently, methods dedicated to high-dimensional data handle missing values by ad-hoc strategies, like…

Methodology · Statistics 2021-06-09 Avner Bar-Hen , Vincent Audigier

We introduce a novel modeling approach for time series imputation and forecasting, tailored to address the challenges often encountered in real-world data, such as irregular samples, missing data, or unaligned measurements from multiple…

In applications such as object tracking, time-series data inevitably carry missing observations. Following the success of deep learning-based models for various sequence learning tasks, these models increasingly replace classic approaches…

Computer Vision and Pattern Recognition · Computer Science 2021-12-03 Stefan Becker , Ronny Hug , Wolfgang Hübner , Michael Arens , Brendan T. Morris

Real-time network traffic forecasting is crucial for network management and early resource allocation. Existing network traffic forecasting approaches operate under the assumption that the network traffic data is fully observed. However, in…

Networking and Internet Architecture · Computer Science 2025-06-12 Lei Deng , Wenhan Xu , Jingwei Li , Danny H. K. Tsang

Missing value imputation is a fundamental problem in spatiotemporal modeling, from motion tracking to the dynamics of physical systems. Deep autoregressive models suffer from error propagation which becomes catastrophic for imputing…

Machine Learning · Computer Science 2019-10-30 Yukai Liu , Rose Yu , Stephan Zheng , Eric Zhan , Yisong Yue

In this paper, we present a novel feature extraction procedure to predict interval-valued time series by combing transfer learning and imaging approaches. Initially, we represent interval-valued time series using a bivariate point-valued…

Applications · Statistics 2025-04-07 Wan Tian , Zhongfeng Qin , Tao Hu
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