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A treatment regime is a function that maps individual patient information to a recommended treatment, hence explicitly incorporating the heterogeneity in need for treatment across individuals. Patient responses are dichotomous and can be…

Machine Learning · Statistics 2016-07-07 Yingfei Wang , Warren Powell

Malaria is one of the deadliest infectious diseases globally, causing hundreds of thousands of deaths each year. It disproportionately affects young children, with two-thirds of fatalities occurring in under-fives. Individuals acquire…

Populations and Evolution · Quantitative Biology 2023-06-07 Zhuolin Qu , Denis Patterson , Lauren Childs , Christina Edholm , Joan Ponce , Olivia Prosper , Lihong Zhao

Healthcare systems are facing serious challenges in balancing their human resources to cope with volatile service demand, while at the same time providing necessary job satisfaction to the healthcare workers. We propose in this paper a…

Optimization and Control · Mathematics 2021-03-09 Duy Anh Nguyen

In this paper we propose and study a spatial diffusion model for the control of anthracnose disease in a bounded domain. The model is a generalization of the one previously developed in [14]. We use the model to simulate two different types…

Optimization and Control · Mathematics 2016-08-08 David Jaurès Fotsa Mbogne , Christopher Thron

Covid-19 has caused hundred of thousands of deaths and an economic damage amounting to trillions of dollars, creating a desire for the rapid development of vaccine. Once available, vaccine is gradually produced, evoking the question on how…

Populations and Evolution · Quantitative Biology 2020-06-30 Jens Grauer , Hartmut Löwen , Benno Liebchen

The proliferation of mobile devices has led to the collection of large amounts of population data. This situation has prompted the need to utilize this rich, multidimensional data in practical applications. In response to this trend, we…

Applications · Statistics 2024-07-18 Tomoya Wakayama , Shonosuke Sugasawa

A smart city improves operational efficiency and comfort of living by harnessing techniques such as the Internet of Things (IoT) to collect and process data for decision making. To better support smart cities, data collected by IoT should…

Networking and Internet Architecture · Computer Science 2021-06-10 Laha Ale , Ning Zhang , Scott A. King , Jose Guardiola

We introduce an agent-based model describing a susceptible-infectious-susceptible (SIS) system of humans and mosquitoes to predict malaria epidemiological scenarios in realistic biological conditions. Emphasis is given to the transition…

Populations and Evolution · Quantitative Biology 2019-03-12 João Sequeira , Jorge Louçã , António M. Mendes , Pedro G. Lind

This paper studies the problem of globally optimizing a variable of interest that is part of a causal model in which a sequence of interventions can be performed. This problem arises in biology, operational research, communications and,…

Machine Learning · Statistics 2020-05-27 Virginia Aglietti , Xiaoyu Lu , Andrei Paleyes , Javier González

Many epidemic models are naturally defined as individual-based models: where we track the state of each individual within a susceptible population. Inference for individual-based models is challenging due to the high-dimensional state-space…

Methodology · Statistics 2025-08-04 Lorenzo Rimella , Christopher Jewell , Paul Fearnhead

The increasing prominence of temporal networks in online social platforms and dynamic communication systems has made influence maximization a critical research area. Various diffusion models have been proposed to capture the spread of…

Social and Information Networks · Computer Science 2025-07-31 Aaqib Zahoor , Iqra Altaf Gillani , Janibul Bashir

Adversarial optimal transport has been proven useful as a mathematical formulation to model resource allocation problems to maximize the efficiency of transportation with an adversary, who modifies the data. It is often the case, however,…

Computer Science and Game Theory · Computer Science 2024-03-05 Yinan Hu , Juntao Chen , Quanyan Zhu

Switched systems in which the manipulated control action is the time-depending switching signal describe many engineering problems, mainly related to biomedical applications. In such a context, to control the system means to select an…

We investigate the time-optimal control problem in SIR (Susceptible-Infected-Recovered) epidemic models, focusing on different control policies: vaccination, isolation, culling, and reduction of transmission. Applying the Pontryagin's…

Optimization and Control · Mathematics 2017-06-15 Luca Bolzoni , Elena Bonacini , Cinzia Soresina , Maria Groppi

Conventionally, the resource allocation is formulated as an optimization problem and solved online with instantaneous scenario information. Since most resource allocation problems are not convex, the optimal solutions are very difficult to…

Machine Learning · Computer Science 2017-12-20 Jun-Bo Wang , Junyuan Wang , Yongpeng Wu , Jin-Yuan Wang , Huiling Zhu , Min Lin , Jiangzhou Wang

A mathematical model for time development of metastases and their distribution in size and carrying capacity is presented. The model is used to theoretically investigate anti-cancer therapies such as surgery and chemical treatments…

Tissues and Organs · Quantitative Biology 2013-06-21 Sebastien Benzekry , Dominique Barbolosi , Assia Benabdallah , Florence Hubert , Philip Hahnfeldt

This paper proposes a hierarchical Bayesian multitask learning model that is applicable to the general multi-task binary classification learning problem where the model assumes a shared sparsity structure across different tasks. We derive a…

We study an optimal control problem where the objective is to find the best vaccine allocation during an epidemic outbreak. The epidemic dynamics is described by an age-structured SIR model with nonlocal interactions. Both the infection and…

Optimization and Control · Mathematics 2026-05-19 Luís Almeida , Romain Ducasse , Elisa Paparelli

Malaria remains a significant global health burden, particularly in resource-limited regions where timely and accurate diagnosis is critical to effective treatment and control. Deep Learning (DL) has emerged as a transformative tool for…

Machine Learning · Computer Science 2025-01-03 Kiswendsida Kisito Kabore , Desire Guel

We introduce a unified framework for contextual and causal Bayesian optimisation, which aims to design intervention policies maximising the expectation of a target variable. Our approach leverages both observed contextual information and…

Machine Learning · Computer Science 2026-02-04 Vahan Arsenyan , Antoine Grosnit , Haitham Bou-Ammar , Arnak Dalalyan