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We present a new Bayesian inference method for compartmental models that takes into account the intrinsic stochasticity of the process. We show how to formulate a SIR-type Markov jump process as the solution of a stochastic differential…

Methodology · Statistics 2020-04-23 Benjamin Nguyen-Van-Yen , Pierre Del Moral , Bernard Cazelles

The current global health emergency triggered by the pandemic COVID-19 is one of the greatest challenges mankind face in this generation. Computational simulations have played an important role to predict the development of the current…

Populations and Evolution · Quantitative Biology 2020-06-11 Kok Yew Ng , Meei Mei Gui

The global pandemic of the 2019-nCov requires the evaluation of policy interventions to mitigate future social and economic costs of quarantine measures worldwide. We propose an epidemiological model for forecasting and policy evaluation…

Applications · Statistics 2020-10-30 Philip Nadler , Shuo Wang , Rossella Arcucci , Xian Yang , Yike Guo

This article was motivated by the desire to improve Markov chain Monte Carlo methods for spatial survival models in which the locations of individuals in space are known. For a dataset comprising information on n individuals, standard…

Methodology · Statistics 2015-01-09 Benjamin M. Taylor

Mathematical modeling is one of the key factors of the effective control of newly found infectious diseases, such as COVID-19. Our knowledge about the parameters and the course of the infection is highly limited in the beginning of the…

Quantitative Methods · Quantitative Biology 2021-10-13 Péter Boldog , Norbert Bogya , Zsolt Vizi

The Metropolis-Hastings algorithm is a fundamental Markov chain Monte Carlo (MCMC) method for sampling and inference. With the advent of Big Data, distributed and parallel variants of MCMC methods are attracting increased attention. In this…

Data Structures and Algorithms · Computer Science 2019-07-16 Weiming Feng , Thomas P. Hayes , Yitong Yin

We consider a stochastic Susceptible-Exposed-Infected-Recovered (SEIR) epidemiological model with a contact rate that fluctuates seasonally. Through the use of a nonlinear, stochastic projection, we are able to analytically determine the…

Populations and Evolution · Quantitative Biology 2013-09-11 Eric Forgoston , Ira B. Schwartz

Quantitative proteomics plays a central role in uncovering regulatory mechanisms, identifying disease biomarkers, and guiding the development of precision therapies. These insights are often obtained through complex Bayesian models, whose…

Quantitative Methods · Quantitative Biology 2025-09-11 Matthew Carter , Lee Devlin , Alexander Philips , Edward Pyzer-Knapp , Paul Spirakis , Simon Maskell

Optimal decision-making under partial observability requires agents to balance reducing uncertainty (exploration) against pursuing immediate objectives (exploitation). In this paper, we introduce a novel policy optimization framework for…

Machine Learning · Computer Science 2025-12-05 Hany Abdulsamad , Sahel Iqbal , Simo Särkkä

The parameter estimation of epidemic data-driven models is a crucial task. In some cases, we can formulate a better model by describing uncertainty with appropriate noise terms. However, because of the limited extent and partial…

Methodology · Statistics 2021-11-30 Fernando Baltazar-Larios , Francisco Delgado-Vences , Saul Diaz-Infante

Applying a ML approach to the temporal variability of the Spike protein sequence enables us to identify, classify and track emerging virus variants. Our analysis is unbiased, in the sense that it does not require any prior knowledge of the…

This paper proposes a new Sequential Monte Carlo algorithm to perform online estimation in the context of state space models when either the transition density of the latent state or the conditional likelihood of an observation given a…

Applications · Statistics 2021-05-10 Alice Martin , Marie-Pierre Etienne , Pierre Gloaguen , Sylvain Le Corff , Jimmy Olsson

To investigate a dilemma of statistical and computational efficiency faced by long-run variance estimators, we propose a decomposition of kernel weights in a quadratic form and some online inference principles. These proposals allow us to…

Methodology · Statistics 2024-09-10 Man Fung Leung , Kin Wai Chan

Objectives. Public health officials need tools to assist with anticipating the healthcare resources required to confront the SARS-COV-2 pandemic. We built a modeling tool to aid practicing public health officials with estimating healthcare…

Populations and Evolution · Quantitative Biology 2020-05-14 Gabriel Rainisch , Eduardo A. Undurraga , Gerardo Chowell

We investigate different mean-field-like approximations for stochastic dynamics on graphs, within the framework of a cluster-variational approach. In analogy with its equilibrium counterpart, this approach allows one to give a unified view…

Statistical Mechanics · Physics 2017-07-31 Alessandro Pelizzola , Marco Pretti

Time-dependent data often exhibit characteristics, such as non-stationarity and heavy-tailed errors, that would be inappropriate to model with the typical assumptions used in popular models. Thus, more flexible approaches are required to be…

Machine Learning · Statistics 2023-11-02 Taole Sha , Michael Minyi Zhang

In this work we look at several mathematical models that have been constructed during the present pandemic to address dfferent issues of importance to public health policies about epidemic scenarios and thier causes. We start by briefly…

Populations and Evolution · Quantitative Biology 2021-04-19 Jorge X. Velasco-Hernandez

A plethora of prediction models of SARS-CoV-2 pandemic were proposed in the past. Prediction performances not only depend on the structure and features of the model, but also on its parametrization. Official databases are often biased due…

Populations and Evolution · Quantitative Biology 2021-09-27 Yuri Kheifetz , Holger Kirsten , Markus Scholz

This work provides an overview on deterministic and stochastic models that have previously been proposed by us to study the transmission dynamics of the Coronavirus Disease 2019 (COVID-19) in Europe and USA. Briefly, we describe realistic…

Populations and Evolution · Quantitative Biology 2022-07-11 Giorgio Sonnino , Philippe Peeters , Pasquale Nardone

Sequential Monte Carlo (SMC) methods comprise one of the most successful approaches to approximate Bayesian filtering. However, SMC without good proposal distributions struggle in high dimensions. We propose nested sequential Monte Carlo…

Computation · Statistics 2016-12-30 Christian A. Naesseth , Fredrik Lindsten , Thomas B. Schön