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An insufficient supply of effective SARS-CoV-2 vaccine in most countries demands an effective vaccination strategy to minimize the damage caused by the disease. Currently, many countries vaccinate their population in descending order of age…

Physics and Society · Physics 2022-09-28 Bukyoung Jhun , Hoyun Choi

We revisit the problem of designing optimal, individually rational matching mechanisms (in a general sense, allowing for cycles in directed graphs), where each player --- who is associated with a subset of vertices --- matches as many of…

Data Structures and Algorithms · Computer Science 2016-09-15 Avrim Blum , Ioannis Caragiannis , Nika Haghtalab , Ariel D. Procaccia , Eviatar B. Procaccia , Rohit Vaish

The COVID-19 pandemic has led to a need for widespread and rapid vaccine development. As several vaccines have recently been approved for human use or are in different stages of development, governments across the world are preparing…

We consider a variant of sequential testing by betting where, at each time step, the statistician is presented with multiple data sources (arms) and obtains data by choosing one of the arms. We consider the composite global null hypothesis…

Methodology · Statistics 2026-03-19 Ricardo J. Sandoval , Ian Waudby-Smith , Michael I. Jordan

The global SARS-CoV-2 (COVID-19) pandemic highlighted the challenge of equitable vaccine distribution between high- and low-income countries. Many high-income countries were reluctant or slow to distribute extra doses of the vaccine to…

Populations and Evolution · Quantitative Biology 2024-08-21 Abraham Holleran , Susan E. Martonosi , Michael Veatch

In this paper, we study the distributed optimization problem using approximate first-order information. We suppose the agent can repeatedly call an inexact first-order oracle of each individual objective function and exchange information…

Optimization and Control · Mathematics 2022-08-26 Kui Zhu , Yichen Zhang , Yutao Tang

The paper uses machine learning and mathematical modeling to predict future vaccine distribution and solve the problem of allocating vaccines to different types of hospitals. They collected data and analyzed it, finding factors such as…

Computers and Society · Computer Science 2023-06-13 Baiqiao Yin , Jiaqing Yuan , Weichen Lv , Jiehui Huang , Guian Fang

In this paper we introduce an approach to the management of infectious disease diffusion through the formulation of a controlled compartmental SVIR (Susceptible-Vaccinated-Infected-Recovered) model. We consider a cost functional…

Optimization and Control · Mathematics 2023-11-28 Alessandro Ramponiand M. Elisabetta Tessitore

Most people struggle with prioritizing work. While inexact heuristics have been developed over time, there is still no tractable principled algorithm for deciding which of the many possible tasks one should tackle in any given day, month,…

Artificial Intelligence · Computer Science 2021-09-16 Saksham Consul , Jugoslav Stojcheski , Valkyrie Felso , Falk Lieder

The dynamics of infectious diseases spread is crucial in determining their risk and offering ways to contain them. We study sequential vaccination of individuals in networks. In the original (deterministic) version of the Firefighter…

Systems and Control · Computer Science 2017-11-23 Guy Tennenholtz , Constantine Caramanis , Shie Mannor

We study two-player reachability games on finite graphs. At each state the interaction between the players is concurrent and there is a stochastic Nature. Players also play stochastically. The literature tells us that 1) Player B, who wants…

Computer Science and Game Theory · Computer Science 2021-10-29 Benjamin Bordais , Patricia Bouyer , Stéphane Le Roux

Incorporating vaccination into mathematical models appears deceptively simple: models integrate vaccine-derived protections, such as reduced susceptibility to infection, using parameters informed by empirical estimates of vaccine efficacy…

Populations and Evolution · Quantitative Biology 2026-05-19 Casey E. Middleton , Oliver Eales , James M. McCaw , Freya M. Shearer

We analyze an optimal control version of a simple SIRS epidemiology model. The policy maker can adopt policies to diminish the contact rate between infected and susceptible individuals, at a specific economic cost. The arrival of a vaccine…

Populations and Evolution · Quantitative Biology 2020-06-09 Evangelos Magirou

Many interventions, such as vaccines in clinical trials or coupons in online marketplaces, must be assigned sequentially without full knowledge of their effects. Multi-armed bandit algorithms have proven successful in such settings.…

Machine Learning · Statistics 2026-05-07 Aidan Gleich , Eric Laber , Alexander Volfovsky

The response of the immune system to different vaccination patterns is studied with a simple model. It is argued that the history and characteristics of the pattern defines very different secondary immune responses in the case of infection.…

Other Quantitative Biology · Quantitative Biology 2009-11-10 P. Etchegoin

Optimal strategies for epidemic containment are focused on dismantling the contact network through effective immunization with minimal costs. However, network fragmentation is seldom accessible in practice and may present extreme side…

Physics and Society · Physics 2020-02-26 Guilherme S. Costa , Silvio C. Ferreira

Seasonal influenza presents an ongoing challenge to public health. The rapid evolution of the flu virus necessitates annual vaccination campaigns, but the decision to get vaccinated or not in a given year is largely voluntary, at least in…

Populations and Evolution · Quantitative Biology 2021-01-21 Irena Papst , Kevin P. O'Keeffe , Steven H. Strogatz

Many scenarios where agents with restrictions compete for resources can be cast as maximum matching problems on bipartite graphs. Our focus is on resource allocation problems where agents may have restrictions that make them incompatible…

Artificial Intelligence · Computer Science 2022-09-13 Yohai Trabelsi , Abhijin Adiga , Sarit Kraus , S. S. Ravi

The aim of this work is to investigate the optimal vaccine sharing between two SIR centers in the presence of migration fluxes of susceptibles and infected individuals during the mumps outbreak. Optimality of the vaccine allocation means…

Quantitative Methods · Quantitative Biology 2018-09-11 A. Chernov , M. Kelbert , A. Shemendyuk

In multi-objective optimization, a single decision vector must balance the trade-offs between many objectives. Solutions achieving an optimal trade-off are said to be Pareto optimal: these are decision vectors for which improving any one…

Optimization and Control · Mathematics 2023-08-07 Abhishek Roy , Geelon So , Yi-An Ma