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We consider the problem of detecting and quantifying the periodic component of a function given noise-corrupted observations of a limited number of input/output tuples. Our approach is based on Gaussian process regression which provides a…

Statistics Theory · Mathematics 2016-08-22 Nicolas Durrande , James Hensman , Magnus Rattray , Neil D. Lawrence

The first known case of Coronavirus disease 2019 (COVID-19) was identified in December 2019. It has spread worldwide, leading to an ongoing pandemic, imposed restrictions and costs to many countries. Predicting the number of new cases and…

New coronavirus disease (COVID-19) has constituted a global pandemic and has spread to most countries and regions in the world. By understanding the development trend of a regional epidemic, the epidemic can be controlled using the…

Physics and Society · Physics 2020-05-15 Bingjie Yan , Xiangyan Tang , Boyi Liu , Jun Wang , Yize Zhou , Guopeng Zheng , Qi Zou , Yao Lu , Wenxuan Tu

The COVID-19 pandemic demonstrated that fast and accurate analysis of continually collected infectious disease surveillance data is crucial for situational awareness and policy making. Coalescent-based phylodynamic analysis can use genetic…

Methodology · Statistics 2024-07-29 Catalina M. Medina , Julia A. Palacios , Volodymyr M. Minin

The ability to predict future states is crucial to informed decision-making while interacting with dynamic environments. With cameras providing a prevalent and information-rich sensing modality, the problem of predicting future states from…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Nikhil U. Shinde , Xiao Liang , Florian Richter , Michael C. Yip

Gaussian Process state-space models capture complex temporal dependencies in a principled manner by placing a Gaussian Process prior on the transition function. These models have a natural interpretation as discretized stochastic…

Machine Learning · Computer Science 2022-02-24 Krista Longi , Jakob Lindinger , Olaf Duennbier , Melih Kandemir , Arto Klami , Barbara Rakitsch

Recent outbreak of the novel coronavirus COVID-19 has affected all of our lives in one way or the other. While medical researchers are working hard to find a cure and doctors/nurses to attend the affected individuals, measures such as…

Methodology · Statistics 2020-07-23 Arkaprava Roy , Sayar Karmakar

We present a probabilistic cross-correlation approach to estimate time delays in the context of reverberation mapping (RM) of Active Galactic Nuclei (AGN). We reformulate the traditional interpolated cross-correlation method as a…

Instrumentation and Methods for Astrophysics · Physics 2023-06-07 F. Pozo Nuñez , N. Gianniotis , K. L. Polsterer

Bayesian posterior distributions arising in modern applications, including inverse problems in partial differential equation models in tomography and subsurface flow, are often computationally intractable due to the large computational cost…

Machine Learning · Statistics 2023-02-10 Tapio Helin , Andrew Stuart , Aretha Teckentrup , Konstantinos Zygalakis

Within the past two decades, Gaussian process regression has been increasingly used for modeling dynamical systems due to some beneficial properties such as the bias variance trade-off and the strong connection to Bayesian mathematics. As…

Systems and Control · Electrical Eng. & Systems 2021-02-11 Thomas Beckers

High dimensional time series are endemic in applications of machine learning such as robotics (sensor data), computational biology (gene expression data), vision (video sequences) and graphics (motion capture data). Practical nonlinear…

Machine Learning · Statistics 2011-07-26 Andreas C. Damianou , Michalis K. Titsias , Neil D. Lawrence

The continuously growing number of COVID-19 cases pressures healthcare services worldwide. Accurate short-term forecasting is thus vital to support country-level policy making. The strategies adopted by countries to combat the pandemic…

Methodology · Statistics 2021-04-07 Thiago de Paula Oliveira , Rafael de Andrade Moral

We propose a functional MIDAS model to leverage high-frequency information for forecasting and nowcasting distributions observed at a lower frequency. We approximate the low-frequency distribution using Functional Principal Component…

Econometrics · Economics 2024-11-11 Massimiliano Marcellino , Andrea Renzetti , Tommaso Tornese

We propose a Bayesian model for mixed ordinal and continuous multivariate data to evaluate a latent spatial Gaussian process. Our proposed model can be used in many contexts where mixed continuous and discrete multivariate responses are…

Methodology · Statistics 2013-05-22 Erin M. Schliep , Jennifer A. Hoeting

The COVID-19 pandemic has demonstrated the increasing need of policymakers for timely estimates of macroeconomic variables. A prior UNCTAD research paper examined the suitability of long short-term memory artificial neural networks (LSTM)…

Machine Learning · Statistics 2022-03-23 Daniel Hopp

Epidemic forecasts are only as good as the accuracy of epidemic measurements. Is epidemic data, particularly COVID-19 epidemic data, clean and devoid of noise? Common sense implies the negative answer. While we cannot evaluate the…

Populations and Evolution · Quantitative Biology 2023-04-25 Long MA , Piet Van Mieghem , Maksim Kitsak

The problem of dealing with misreported data is very common in a wide range of contexts for different reasons. The current situation caused by the Covid-19 worldwide pandemic is a clear example, where the data provided by official sources…

Modeling the spatiotemporal nature of the spread of infectious diseases can provide useful intuition in understanding the time-varying aspect of the disease spread and the underlying complex spatial dependency observed in people's mobility…

Machine Learning · Computer Science 2021-11-10 Padmaksha Roy , Shailik Sarkar , Subhodip Biswas , Fanglan Chen , Zhiqian Chen , Naren Ramakrishnan , Chang-Tien Lu

The spread of COVID-19 has been greatly impacted by regulatory policies and behavior patterns that vary across counties, states, and countries. Population-level dynamics of COVID-19 can generally be described using a set of ordinary…

Applications · Statistics 2022-04-11 Joshua P. Keller , Tianjian Zhou , Andee Kaplan , G. Brooke Anderson , Wen Zhou

This work addresses the issue of motion compensation and pattern tracking in event camera data. An event camera generates asynchronous streams of events triggered independently by each of the pixels upon changes in the observed intensity.…

Computer Vision and Pattern Recognition · Computer Science 2023-03-07 Cedric Le Gentil , Ignacio Alzugaray , Teresa Vidal-Calleja
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