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We demonstrate a simple strategy to cope with missing data in sequential inputs, addressing the task of multilabel classification of diagnoses given clinical time series. Collected from the pediatric intensive care unit (PICU) at Children's…

Machine Learning · Computer Science 2016-11-14 Zachary C. Lipton , David C. Kale , Randall Wetzel

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

The forecasting of multi-variate time processes through graph-based techniques has recently been addressed under the graph signal processing framework. However, problems in the representation and the processing arise when each time series…

Signal Processing · Electrical Eng. & Systems 2020-04-20 Alberto Natali , Elvin Isufi , Geert Leus

As a special infinite-order vector autoregressive (VAR) model, the vector autoregressive moving average (VARMA) model can capture much richer temporal patterns than the widely used finite-order VAR model. However, its practicality has long…

Methodology · Statistics 2024-02-27 Yao Zheng

Irregular sampling occurs in many time series modeling applications where it presents a significant challenge to standard deep learning models. This work is motivated by the analysis of physiological time series data in electronic health…

Machine Learning · Computer Science 2021-06-08 Satya Narayan Shukla , Benjamin M. Marlin

The purpose of this paper is to propose a time-varying vector autoregressive model (TV-VAR) for forecasting multivariate time series. The model is casted into a state-space form that allows flexible description and analysis. The volatility…

Statistical Finance · Quantitative Finance 2008-12-02 K. Triantafyllopoulos

Time Series forecasting (univariate and multivariate) is a problem of high complexity due the different patterns that have to be detected in the input, ranging from high to low frequencies ones. In this paper we propose a new model for…

Machine Learning · Computer Science 2019-03-07 Matteo Maggiolo , Gerasimos Spanakis

Modeling inter-dependencies between time-series is the key to achieve high performance in anomaly detection for multivariate time-series data. The de-facto solution to model the dependencies is to feed the data into a recurrent neural…

Machine Learning · Computer Science 2021-08-17 Yuhang Wu , Mengting Gu , Lan Wang , Yusan Lin , Fei Wang , Hao Yang

Survival regression is widely used to model time-to-events data, to explore how covariates may influence the occurrence of events. Modern datasets often encompass a vast number of covariates across many subjects, with only a subset of the…

Methodology · Statistics 2024-09-18 Abhishek Mandal , Abhisek Chakraborty

Many important problems can be modeled as a system of interconnected entities, where each entity is recording time-dependent observations or measurements. In order to spot trends, detect anomalies, and interpret the temporal dynamics of…

Machine Learning · Computer Science 2017-06-13 David Hallac , Youngsuk Park , Stephen Boyd , Jure Leskovec

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

A model based on a thermodynamic approach is proposed for predicting the dynamics of communicable epidemics in a city, when the epidemic is governed by controlling efforts of multiple scales so that an entropy is associated with the system.…

Medical Physics · Physics 2013-10-01 W. B. Wang , Z. N. Wu , Z. M. Cao , R. F. Hu

The accurate estimation of time-varying transmission rates is fundamental for understanding infectious disease dynamics and implementing effective public health interventions. To this end, we propose an improved inverse method for…

Populations and Evolution · Quantitative Biology 2025-12-17 Shuanglin Jing , Yuting Huang , Hai-Feng Huo

In several countries, including Italy, a prominent approach to population health surveillance involves conducting repeated cross-sectional surveys at short intervals of time. These surveys gather information on the health status of…

Applications · Statistics 2025-04-10 Mattia Stival , Lorenzo Schiavon , Stefano Campostrini

Vector autoregressive (VAR) models have become a staple in the analysis of multivariate time series and are formulated in the time domain as difference equations, with an implied covariance structure. In many contexts, it is desirable to…

Methodology · Statistics 2014-06-04 Scott H. Holan , Tucker S. McElroy , Guohui Wu

In this article there is no intention to repeat basic concepts about risk management, but we will try to define why often is usefull the time series analysis during the assessment of risks, and how is possible to compute a significative…

Applications · Statistics 2016-01-13 Gianluca Rosso

Although increasingly used as a data resource for assembling cohorts, electronic health records (EHRs) pose many analytic challenges. In particular, a patient's health status influences when and what data are recorded, generating sampling…

Methodology · Statistics 2020-04-28 Yifei Sun , Charles E. McCulloch , Kieren A. Marr , Chiung-Yu Huang

Aggregation of large databases in a specific format is a frequently used process to make the data easily manageable. Interval-valued data is one of the data types that is generated by such an aggregation process. Using traditional methods…

Methodology · Statistics 2020-01-09 Ufuk Beyaztas , Han Lin Shang , Abdel-Salam G. Abdel-Salam

Time series of matrix-valued data are increasingly available in various areas including economics, finance, social science, among others. These data may shed light on the inter-dynamical relationships between two sets of attributes, for…

Methodology · Statistics 2026-04-22 Fei Wu , Kung-Sik Chan

Multivariate data sources with components of different information value seem to appear frequently in practice. Models in which the components change their homogeneity at different times are of significant importance. The fact whether any…

Optimization and Control · Mathematics 2020-11-04 Krzysztof Szajowski