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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

Autoregressive models are ubiquitous tools for the analysis of time series in many domains such as computational neuroscience and biomedical engineering. In these domains, data is, for example, collected from measurements of brain activity.…

Signal Processing · Electrical Eng. & Systems 2023-05-02 Jonas F. Haderlein , Andre D. H. Peterson , Anthony N. Burkitt , Iven M. Y. Mareels , David B. Grayden

The class of autoregressive (AR) processes is extensively used to model temporal dependence in observed time series. Such models are easily available and routinely fitted using freely available statistical software like R. A potential…

Methodology · Statistics 2020-10-13 Sigrunn H. Sørbye , Pedro G. Nicolau , Håvard Rue

The role of epidemiological models is crucial for informing public health officials during a public health emergency, such as the COVID-19 pandemic. However, traditional epidemiological models fail to capture the time-varying effects of…

Methodology · Statistics 2022-06-17 Adam Spannaus , Theodore Papamarkou , Samantha Erwin , J. Blair Christian

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

The Coronavirus Disease 2019 (COVID-19) has a profound impact on global health and economy, making it crucial to build accurate and interpretable data-driven predictive models for COVID-19 cases to improve policy making. The extremely large…

Machine Learning · Computer Science 2023-05-02 Yangyi Zhang , Sui Tang , Guo Yu

COVID-19 has been a public health emergency of international concern since early 2020. Reliable forecasting is critical to diminish the impact of this disease. To date, a large number of different forecasting models have been proposed,…

Machine Learning · Computer Science 2021-10-04 Yun Zhao , Yuqing Wang , Junfeng Liu , Haotian Xia , Zhenni Xu , Qinghang Hong , Zhiyang Zhou , Linda Petzold

We demonstrate the ability of statistical data assimilation to identify the measurements required for accurate state and parameter estimation in an epidemiological model for the novel coronavirus disease COVID-19. Our context is an effort…

Populations and Evolution · Quantitative Biology 2020-08-04 Eve Armstrong , Manuela Runge , Jaline Gerardin

The unprecedented global crisis brought about by the COVID-19 pandemic has sparked numerous efforts to create predictive models for the detection and prognostication of SARS-CoV-2 infections with the goal of helping health systems allocate…

Severe acute respiratory disease SARS-CoV-2 has had a found impact on public health systems and healthcare emergency response especially with respect to making decisions on the most effective measures to be taken at any given time. As…

Machine Learning · Computer Science 2023-09-19 Charithea Stylianides , Kleanthis Malialis , Panayiotis Kolios

This paper extends the canonical model of epidemiology, the SIRD model, to allow for time-varying parameters for real-time measurement and prediction of the trajectory of the Covid-19 pandemic. Time variation in model parameters is captured…

Econometrics · Economics 2023-02-01 Cem Cakmakli , Yasin Simsek

To capture the death rates and strong weekly, biweekly and probably monthly patterns in the Canada COVID-19, we utilize the generalized additive models in the absence of direct statistically based measurement of infection rates. By…

Applications · Statistics 2020-08-04 Farzali Izadi

The COVID-19 pandemic has impacted lives and economies across the globe, leading to many deaths. While vaccination is an important intervention, its roll-out is slow and unequal across the globe. Therefore, extensive testing still remains…

Numerous COVID-19 clinical decision support systems have been developed. However many of these systems do not have the merit for validity due to methodological shortcomings including algorithmic bias. Methods Logistic regression models were…

Machine Learning · Computer Science 2021-11-02 Yifan Li , Garrett Yoon , Mustafa Nasir-Moin , David Rosenberg , Sean Neifert , Douglas Kondziolka , Eric Karl Oermann

Interpreting deep learning time series models is crucial in understanding the model's behavior and learning patterns from raw data for real-time decision-making. However, the complexity inherent in transformer-based time series models poses…

A multiple objective space-time forecasting approach is presented involving cyclical curve log-regression, and multivariate time series spatial residual correlation analysis. Specifically, the mean quadratic loss function is minimized in…

Machine Learning · Statistics 2021-03-30 A. Torres-Signes , M. P. Frías , M. D. Ruiz-Medina

COVID-19 pandemic has an unprecedented impact all over the world since early 2020. During this public health crisis, reliable forecasting of the disease becomes critical for resource allocation and administrative planning. The results from…

Machine Learning · Computer Science 2021-04-07 Xiaoyong Jin , Yu-Xiang Wang , Xifeng Yan

This paper characterizes the impact of covariate serial dependence on the non-asymptotic estimation error bound of penalized regressions (PRs). Focusing on the direct relationship between the degree of cross-correlation between covariates…

Statistics Theory · Mathematics 2023-02-14 Simone Tonini , Francesca Chiaromonte , Alessandro Giovannelli

Coronavirus disease 2019 (COVID-19) is a global public health crisis that has been declared a pandemic by World Health Organization. Forecasting country-wise COVID-19 cases is necessary to help policymakers and healthcare providers prepare…

Machine Learning · Computer Science 2020-06-25 Arko Barman

This paper deals with the problem of estimating variables in nonlinear models for the spread of disease and its application to the COVID-19 epidemic. First unconstrained methods are revisited and they are shown to correspond to the…

Optimization and Control · Mathematics 2020-08-20 Mauricio C. de Oliveira
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