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We develop a new class of dynamic multivariate Poisson count models that allow for fast online updating and we refer to these models as multivariate Poisson-scaled beta (MPSB). The MPSB model allows for serial dependence in the counts as…

Methodology · Statistics 2016-09-16 Tevfik Aktekin , Nicholas G. Polson , Refik Soyer

Following [Diggle 2011, Greenland 1995], we give a simple formula for the Bayesian posterior density of a prevalence parameter based on unreliable testing of a population. This problem is of particular importance when the false positive…

Applications · Statistics 2020-09-14 Jonathan Baxter

The COVID19 pandemic, a unique and devastating respiratory disease outbreak, has affected global populations as the disease spreads rapidly. Recent Deep Learning breakthroughs may improve COVID19 prediction and forecasting as a tool of…

Image and Video Processing · Electrical Eng. & Systems 2023-10-24 Md Aminul Islam , Shabbir Ahmed Shuvo , Mohammad Abu Tareq Rony , M Raihan , Md Abu Sufian

A new coronavirus disease, called COVID-19, appeared in the Chinese region of Wuhan at the end of last year; since then the virus spread to other countries, including most of Europe. We propose a differential equation governing the…

Populations and Evolution · Quantitative Biology 2020-09-15 Giorgio Sonnino , Pasquale Nardone

We extend the classical Susceptible-Infected-Recovered (SIR) model to a network-based framework where the degree distribution of nodes follows a Poisson distribution. This extension incorporates an additional parameter representing the mean…

Populations and Evolution · Quantitative Biology 2025-01-03 Josephine K. Wairimu , Andrew Gothard , Grzegorz A. Rempala

As COVID-19 transitions into an endemic disease that remains constantly present in the population at a stable level, monitoring its prevalence without invasive measures becomes increasingly important. In this paper, we present a deep neural…

Quantitative Methods · Quantitative Biology 2025-12-02 Yifei Chen , Eric Liang

COVID-19 has affected more than 223 countries worldwide. There is a pressing need for non invasive, low costs and highly scalable solutions to detect COVID-19, especially in low-resource countries where PCR testing is not ubiquitously…

Sound · Computer Science 2022-09-09 Wafaa Aljbawi , Sami O. Simmons , Visara Urovi

We study the SIR epidemiological model, with a variable contagion rate, applied to the evolution of COVID19 in Cuba. It is highlighted that an increase in the predictive character depends on understanding the dynamics for the temporal…

Populations and Evolution · Quantitative Biology 2020-04-24 Nana Cabo Bizet , Alejandro Cabo Montes de Oca

High-dimensional count data poses significant challenges for statistical analysis, necessitating effective methods that also preserve explainability. We focus on a low rank constrained variant of the Poisson log-normal model, which relates…

Optimization and Control · Mathematics 2025-06-17 Bastien Batardière , Julien Chiquet , Joon Kwon , Julien Stoehr

In this paper, we propose a new method of Bayesian measurement for spectral deconvolution, which regresses spectral data into the sum of unimodal basis function such as Gaussian or Lorentzian functions. Bayesian measurement is a framework…

Signal Processing · Electrical Eng. & Systems 2019-05-01 Kenji Nagata , Yoh-ichi Mototake , Rei Muraoka , Takehiko Sasaki , Masato Okada

Background: This paper provides a systematic review of the application of Artificial Intelligence (AI) in the form of Machine Learning (ML) and Deep Learning (DL) techniques in fighting against the effects of novel coronavirus disease…

Image and Video Processing · Electrical Eng. & Systems 2021-10-29 M. Rubaiyat Hossain Mondal , Subrato Bharati , Prajoy Podder

Respiratory diseases kill million of people each year. Diagnosis of these pathologies is a manual, time-consuming process that has inter and intra-observer variability, delaying diagnosis and treatment. The recent COVID-19 pandemic has…

Image and Video Processing · Electrical Eng. & Systems 2020-12-01 Juan E. Arco , A. Ortiz , J. Ramirez , F. J. Martinez-Murcia , Yu-Dong Zhang , Juan M. Gorriz

Bayesian nonparametric methods are a popular choice for analysing survival data due to their ability to flexibly model the distribution of survival times. These methods typically employ a nonparametric prior on the survival function that is…

Methodology · Statistics 2022-02-22 Edwin Fong , Brieuc Lehmann

Quantifying COVID-19 infection over time is an important task to manage the hospitalization of patients during a global pandemic. Recently, deep learning-based approaches have been proposed to help radiologists automatically quantify…

Image and Video Processing · Electrical Eng. & Systems 2022-03-22 Tobias Czempiel , Coco Rogers , Matthias Keicher , Magdalini Paschali , Rickmer Braren , Egon Burian , Marcus Makowski , Nassir Navab , Thomas Wendler , Seong Tae Kim

A learning-based posterior distribution estimation method, Probabilistic Dipole Inversion (PDI), is proposed to solve quantitative susceptibility mapping (QSM) inverse problem in MRI with uncertainty estimation. A deep convolutional neural…

Image and Video Processing · Electrical Eng. & Systems 2020-04-28 Jinwei Zhang , Hang Zhang , Mert Sabuncu , Pascal Spincemaille , Thanh Nguyen , Yi Wang

We analyze repeated cross-sectional survey data collected by the Institute of Global Health Innovation, to characterize the perception and behavior of the Italian population during the Covid-19 pandemic, focusing on the period that spans…

Applications · Statistics 2022-06-22 Emanuele Aliverti , Massimilano Russo

SARS-CoV-2, the causative agent of COVID-19, remains a global health concern due to its high transmissibility and evolving variants. Although vaccination efforts and therapeutic advancements have mitigated disease severity, emerging…

Image and Video Processing · Electrical Eng. & Systems 2025-09-30 Anjali Dharmik

Background: In medical imaging, images are usually treated as deterministic, while their uncertainties are largely underexplored. Purpose: This work aims at using deep learning to efficiently estimate posterior distributions of imaging…

Image and Video Processing · Electrical Eng. & Systems 2023-03-20 Xiaofeng Liu , Thibault Marin , Tiss Amal , Jonghye Woo , Georges El Fakhri , Jinsong Ouyang

This article presents a new model to predict the evolution of infective diseases under uncertainty or low-quality information, just as it has happened in the initial scenario during the CoVid-19 spread in China and Europe. The model has…

Other Quantitative Biology · Quantitative Biology 2020-04-14 Efren M. Benavides

With the huge spike in the COVID-19 cases across the globe and reverse transcriptase-polymerase chain reaction (RT-PCR) test remains a key component for rapid and accurate detection of severe acute respiratory syndrome coronavirus 2…

Machine Learning · Computer Science 2021-10-20 Satvik Tripathi