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Observations made in continuous time are often irregular and contain the missing values across different channels. One approach to handle the missing data is imputing it using splines, by fitting the piecewise polynomials to the observed…

Machine Learning · Computer Science 2022-10-20 Marin Biloš , Emanuel Ramneantu , Stephan Günnemann

A time series represents a set of observations collected over time. Typically, these observations are captured with a uniform sampling frequency (e.g. daily). When data points are observed in uneven time intervals the time series is…

Machine Learning · Computer Science 2022-01-03 Pedro Costa , Vitor Cerqueira , João Vinagre

Irregularly sampled time series (ISTS) data has irregular temporal intervals between observations and different sampling rates between sequences. ISTS commonly appears in healthcare, economics, and geoscience. Especially in the medical…

Machine Learning · Computer Science 2020-10-27 Chenxi Sun , Shenda Hong , Moxian Song , Hongyan Li

Given a set of synchronous time series, each associated with a sensor-point in space and characterized by inter-series relationships, the problem of spatiotemporal forecasting consists of predicting future observations for each point.…

Machine Learning · Computer Science 2024-06-11 Ivan Marisca , Cesare Alippi , Filippo Maria Bianchi

Supervised learning with irregularly sampled time series have been a challenge to Machine Learning methods due to the obstacle of dealing with irregular time intervals. Some papers introduced recently recurrent neural network models that…

Machine Learning · Computer Science 2020-03-23 Rafael T. Sousa , Lucas A. Pereira , Anderson S. Soares

Multivariate time-series data are used in many classification and regression predictive tasks, and recurrent models have been widely used for such tasks. Most common recurrent models assume that time-series data elements are of equal length…

Machine Learning · Computer Science 2020-09-21 Mehak Gupta , Rahmatollah Beheshti

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

Data-driven methods that detect anomalies in times series data are ubiquitous in practice, but they are in general unable to provide helpful explanations for the predictions they make. In this work we propose a model-agnostic algorithm that…

Modeling multivariate time series as temporal signals over a (possibly dynamic) graph is an effective representational framework that allows for developing models for time series analysis. In fact, discrete sequences of graphs can be…

Machine Learning · Computer Science 2022-10-11 Ivan Marisca , Andrea Cini , Cesare Alippi

As one of the most commonly seen data challenges, missing data, in particular, multiple, non-monotone missing patterns, complicates estimation and inference due to the fact that missingness mechanisms are often not missing at random, and…

Methodology · Statistics 2025-04-21 Jianing Dong , Raymond K. W. Wong , Kwun Chuen Gary Chan

Irregular multivariate time series (IMTS) are characterized by irregular time intervals within variables and unaligned observations across variables, posing challenges in learning temporal and variable dependencies. Many existing IMTS…

Machine Learning · Computer Science 2025-05-26 Boyuan Li , Yicheng Luo , Zhen Liu , Junhao Zheng , Jianming Lv , Qianli Ma

Modeling Irregularly-sampled and Multivariate Time Series (IMTS) is crucial across a variety of applications where different sets of variates may be missing at different time-steps due to sensor malfunctions or high data acquisition costs.…

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

Irregularly sampled multivariate time series are ubiquitous in various fields, particularly in healthcare, and exhibit two key characteristics: intra-series irregularity and inter-series discrepancy. Intra-series irregularity refers to the…

Machine Learning · Computer Science 2023-06-19 Jiawen Zhang , Shun Zheng , Wei Cao , Jiang Bian , Jia Li

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

Multivariate time series (MTS) data are becoming increasingly ubiquitous in diverse domains, e.g., IoT systems, health informatics, and 5G networks. To obtain an effective representation of MTS data, it is not only essential to consider…

Machine Learning · Computer Science 2020-10-06 Yang Jiao , Kai Yang , Shaoyu Dou , Pan Luo , Sijia Liu , Dongjin Song

Deep learning methods achieve remarkable predictive performance in modeling complex, large-scale data. However, assessing the quality of derived models has become increasingly challenging, as more classical statistical assumptions may no…

Machine Learning · Statistics 2026-03-02 Daniele Zambon , Cesare Alippi

Recent state-of-the-art forecasting methods are trained on collections of time series. These methods, often referred to as global models, can capture common patterns in different time series to improve their generalization performance.…

Machine Learning · Computer Science 2024-04-30 Vitor Cerqueira , Nuno Moniz , Ricardo Inácio , Carlos Soares

Detection of periodic patterns of interest within noisy time series data plays a critical role in various tasks, spanning from health monitoring to behavior analysis. Existing learning techniques often rely on labels or clean versions of…

Machine Learning · Computer Science 2025-06-24 Berken Utku Demirel , Christian Holz

Detecting anomalous time series is key for scientific, medical and industrial tasks, but is challenging due to its inherent unsupervised nature. In recent years, progress has been made on this task by learning increasingly more complex…

Machine Learning · Computer Science 2022-02-09 Yedid Hoshen