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Contact matrices are an important ingredient in age-structured epidemic models to inform the simulated spread of the disease between sub-groups of the population. These matrices are generally derived using resource-intensive diary-based…

Stochastic models in which agents interact with their neighborhood according to a network topology are a powerful modeling framework to study the emergence of complex dynamic patterns in real-world systems. Stochastic simulations are often…

Social and Information Networks · Computer Science 2021-01-27 Gerrit Großmann , Luca Bortolussi , Verena Wolf

Multiple systems estimation is a key approach for quantifying hidden populations such as the number of victims of modern slavery. The UK Government published an estimate of 10,000 to 13,000 victims, constructed by the present author, as…

Applications · Statistics 2023-04-04 Bernard W. Silverman

As natural disasters become increasingly frequent, the need for efficient and equitable evacuation planning has become more critical. This paper proposes a data-driven, reinforcement learning-based framework to optimize bus-based…

Machine Learning · Computer Science 2024-12-10 Fang Tang , Han Wang , Maria Laura Delle Monache

Spreading processes are ubiquitous in natural and artificial systems. They can be studied via a plethora of models, depending on the specific details of the phenomena under study. Disease contagion and rumor spreading are among the most…

Markov chains are a common framework for individual-based state and time discrete models in ecology and evolution. Their use, however, is largely limited to systems with a low number of states, since the transition matrices involved pose…

Quantitative Methods · Quantitative Biology 2014-07-10 Katja Reichel , Valentin Bahier , Cédric Midoux , Jean-Pierre Masson , Solenn Stoeckel

Analyzing, understanding, and describing human behavior is advantageous in different settings, such as web browsing or traffic navigation. Understanding human behavior naturally helps to improve and optimize the underlying infrastructure or…

Machine Learning · Computer Science 2024-01-09 Tobias Koopmann , Jan Pfister , André Markus , Astrid Carolus , Carolin Wienrich , Andreas Hotho

Markov chains are a natural and well understood tool for describing one-dimensional patterns in time or space. We show how to infer $k$-th order Markov chains, for arbitrary $k$, from finite data by applying Bayesian methods to both…

Statistics Theory · Mathematics 2009-11-13 Christopher C. Strelioff , James P. Crutchfield , Alfred W. Hubler

Predicting relative risk (RR) of spatial clusters is a complex task in public health that can be achieved through various statistical and machine-learning methods for different time intervals. However, high-resolution longitudinal data is…

Methodology · Statistics 2025-12-23 Lyza Iamrache , Kamel Rekab , Majid Bani-Yagoub , Julia Pluta , Abdelghani Mehailia

We propose a Markov chain model for credit rating changes. We do not use any distributional assumptions on the asset values of the rated companies but directly model the rating transitions process. The parameters of the model are estimated…

Risk Management · Quantitative Finance 2014-01-21 David Wozabal , Ronald Hochreiter

We formulate some simple conditions under which a Markov chain may be approximated by the solution to a differential equation, with quantifiable error probabilities. The role of a choice of coordinate functions for the Markov chain is…

Probability · Mathematics 2008-04-23 R. W. R. Darling , J. R. Norris

This paper presents a mixed-methodology to forecast illegal border crossings in Europe across five key migratory routes, with a one-year time horizon. The methodology integrates machine learning techniques with qualitative insights from…

Machine Learning · Computer Science 2025-12-17 C. Bosco , U. Minora , D. de Rigo , J. Pingsdorf , R. Cortinovis

In this Letter we follow the short-ranged Syrian refugees' migration to Lebanon as documented by the UNHCR. We propose a model inspired by the Debye-H\"{u}ckel theory and show that it properly predicts the refugees' mobility while the…

Physics and Society · Physics 2017-11-15 Sara Najem

With the global refugee crisis at a historic high, there is a growing need to assess the impact of refugee settlements on their hosting countries and surrounding environments. Because fires are an important land management practice in…

Machine Learning · Computer Science 2021-08-02 Robert Huppertz , Catherine Nakalembe , Hannah Kerner , Ramani Lachyan , Maxime Rischard

This paper describes how a time-varying Markov model was used to forecast housing development at a master-planned community during a transition from high to low growth. Our approach draws on detailed historical data to model the dynamics of…

Econometrics · Economics 2024-08-30 Christopher K. Allsup , Irene S. Gabashvili

We introduce a constrained priority mechanism that combines outcome-based matching from machine-learning with preference-based allocation schemes common in market design. Using real-world data, we illustrate how our mechanism could be…

General Economics · Economics 2020-08-13 Avidit Acharya , Kirk Bansak , Jens Hainmueller

Existing theories of migration either focus on micro- or macroscopic behavior of populations; that is, either the average behavior of entire population is modeled directly, or decisions of individuals are modeled directly. In this work, we…

Physics and Society · Physics 2013-05-10 Babak Fotouhi , Michael G. Rabbat

The advent of modern computers has added an increased emphasis on channeling computational power and statistical methods into digital humanities. Including increased statistical rigor in history poses unique challenges due to the inherent…

Applications · Statistics 2019-08-02 Zachary Mullen , Ashton Wiens , Eric Vance , Henry Lovejoy

Resettlement agencies have started to adopt data-driven algorithmic matching to match refugees to locations using employment rate as a measure of utility. Given a pool of refugees, data-driven algorithmic matching utilizes a classifier to…

Computers and Society · Computer Science 2024-07-19 Seungeon Lee , Nina Corvelo Benz , Suhas Thejaswi , Manuel Gomez-Rodriguez

Well-executed emergency evacuations can save lives and reduce suffering. However, decision makers struggle to determine optimal evacuation policies given the chaos, uncertainty, and value judgments inherent in emergency evacuations. We…

Computers and Society · Computer Science 2022-10-18 Lisa J. Einstein , Robert J. Moss , Mykel J. Kochenderfer