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Time series prediction with missing values is an important problem of time series analysis since complete data is usually hard to obtain in many real-world applications. To model the generation of time series, autoregressive (AR) model is a…

Machine Learning · Statistics 2019-08-28 Xi Chen , Hongzhi Wang , Yanjie Wei , Jianzhong Li , Hong Gao

One of the most common procedures in modern data analytics is filling in missing values in times series. For a variety of reasons, the data provided by clients to obtain a forecast, or other forms of data analysis, may have missing values,…

Classical Analysis and ODEs · Mathematics 2025-11-13 Will Burstein , Alex Iosevich , Azita Mayeli , Hari Sarang Nathan

Multivariate time series is a very active topic in the research community and many machine learning tasks are being used in order to extract information from this type of data. However, in real-world problems data has missing values, which…

Machine Learning · Computer Science 2019-03-26 Samuel Arcadinho , Paulo Mateus

This tutorial aims to provide signal processing (SP) and machine learning (ML) practitioners with vital tools, in an accessible way, to answer the question: How to deal with missing data? There are many strategies to handle incomplete…

Signal Processing · Electrical Eng. & Systems 2026-01-06 Alexandre Hippert-Ferrer , Aude Sportisse , Amirhossein Javaheri , Mohammed Nabil El Korso , Daniel P. Palomar

Time series classification with missing data is a prevalent issue in time series analysis, as temporal data often contain missing values in practical applications. The traditional two-stage approach, which handles imputation and…

Machine Learning · Computer Science 2024-08-13 Pengshuai Yao , Mengna Liu , Xu Cheng , Fan Shi , Huan Li , Xiufeng Liu , Shengyong Chen

Performance estimation aims at estimating the loss that a predictive model will incur on unseen data. These procedures are part of the pipeline in every machine learning project and are used for assessing the overall generalisation ability…

Machine Learning · Computer Science 2021-08-31 Vitor Cerqueira , Luis Torgo , Igor Mozetic

Time series data with missing values is common across many domains. Healthcare presents special challenges due to prolonged periods of sensor disconnection. In such cases, having a confidence measure for imputed values is critical. Most…

Machine Learning · Computer Science 2025-07-15 Addison Weatherhead , Anna Goldenberg

The estimation of missing input vector elements in real time processing applications requires a system that possesses the knowledge of certain characteristics such as correlations between variables, which are inherent in the input space.…

Applications · Statistics 2007-05-23 Fulufhelo V. Nelwamondo , Shakir Mohamed , Tshilidzi Marwala

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

There are many time series in the literature with high dimension yet limited sample sizes, such as macroeconomic variables, and it is almost impossible to obtain efficient estimation and accurate prediction by using the corresponding…

Methodology · Statistics 2025-10-30 Yuchang Lin , Qianqian Zhu , Guodong Li

Time series are all around in real-world applications. However, unexpected accidents for example broken sensors or missing of the signals will cause missing values in time series, making the data hard to be utilized. It then does harm to…

Machine Learning · Computer Science 2020-11-24 Chenguang Fang , Chen Wang

Multivariate time series alignment is critical for ensuring coherent analysis across variables, but missing values and timestamp inconsistencies make this task highly challenging. Existing approaches often rely on prior imputation, which…

Databases · Computer Science 2025-12-23 Ding Jia , Jingyu Zhu , Yu Sun , Aoqian Zhang , Shaoxu Song , Haiwei Zhang , Xiaojie Yuan

Time series analysis is widely used in many fields such as power energy, economics, and transportation, including different tasks such as forecasting, anomaly detection, classification, etc. Missing values are widely observed in these…

Machine Learning · Computer Science 2024-10-11 Zhixian Wang , Linxiao Yang , Liang Sun , Qingsong Wen , Yi Wang

The imputation of missing values in multivariate time series (MTS) data is critical in ensuring data quality and producing reliable data-driven predictive models. Apart from many statistical approaches, a few recent studies have proposed…

Machine Learning · Computer Science 2023-05-17 Maksims Kazijevs , Manar D. Samad

Missing data in time series is a challenging issue affecting time series analysis. Missing data occurs due to problems like data drops or sensor malfunctioning. Imputation methods are used to fill in these values, with quality of imputation…

Machine Learning · Computer Science 2023-04-11 Karan Aggarwal , Jaideep Srivastava

Imputation of missing data in large regions of satellite imagery is necessary when the acquired image has been damaged by shadows due to clouds, or information gaps produced by sensor failure. The general approach for imputation of missing…

Applications · Statistics 2010-06-23 Valeria Rulloni , Oscar Bustos , Ana Georgina Flesia

We propose a method for filling gaps and removing interferences in time series for applications involving continuous monitoring of environmental variables. The approach is non-parametric and based on an iterative pattern-matching between…

Geophysics · Physics 2015-08-11 Gregoire Mariethoz , Niklas Linde , Damien Jougnot , Hassan Rezaee

We present an approach that uses a deep learning model, in particular, a MultiLayer Perceptron (MLP), for estimating the missing values of a variable in multivariate time series data. We focus on filling a long continuous gap (e.g.,…

Heterogeneous but complementary sources of data provide an unprecedented opportunity for developing accurate statistical models of systems. Although the existing methods have shown promising results, they are mostly applicable to situations…

Applications · Statistics 2020-08-18 Feng Wang , Mostafa Reisi Gahrooei , Zhen Zhong , Tao Tang , Jianjun Shi

We develop an estimation methodology for a factor model for high-dimensional matrix-valued time series, where common stochastic trends and common stationary factors can be present. We study, in particular, the estimation of (row and column)…

Methodology · Statistics 2025-01-06 Rong Chen , Simone Giannerini , Greta Goracci , Lorenzo Trapani
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