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We focus on the problem of uncertainty informed allocation of medical resources (vaccines) to heterogeneous populations for managing epidemic spread. We tackle two related questions: (1) For a compartmental ordinary differential equation…

Optimization and Control · Mathematics 2023-07-04 Samarth Gupta , Saurabh Amin

We develop a Bayesian nonparametric extension of the popular Plackett-Luce choice model that can handle an infinite number of choice items. Our framework is based on the theory of random atomic measures, with the prior specified by a gamma…

Machine Learning · Statistics 2012-11-20 Francois Caron , Yee Whye Teh

A population-level analysis is proposed to address data sparsity when building predictive models for engineering infrastructure. Utilising an interpretable hierarchical Bayesian approach and operational fleet data, domain expertise is…

Machine Learning · Statistics 2023-05-15 L. A. Bull , D. Di Francesco , M. Dhada , O. Steinert , T. Lindgren , A. K. Parlikad , A. B. Duncan , M. Girolami

Additive nonparametric regression models provide an attractive tool for variable selection in high dimensions when the relationship between the response and predictors is complex. They offer greater flexibility compared to parametric…

Machine Learning · Statistics 2016-07-12 Garret Vo , Debdeep Pati

Bayesian optimisation is a popular technique for hyperparameter learning but typically requires initial exploration even in cases where similar prior tasks have been solved. We propose to transfer information across tasks using learnt…

Machine Learning · Statistics 2019-05-28 Ho Chung Leon Law , Peilin Zhao , Lucian Chan , Junzhou Huang , Dino Sejdinovic

Semi- and non-parametric mixture of regressions are a very useful flexible class of mixture of regressions in which some or all of the parameters are non-parametric functions of the covariates. These models are, however, based on the…

Methodology · Statistics 2026-01-21 Peterson Mambondimumwe , Sphiwe B. Skhosana , Najmeh Nakhaei Rad

We study the problem of containing epidemic spreading processes in temporal networks. We specifically focus on the problem of finding a resource allocation to suppress epidemic infection, provided that an empirical time-series data of…

Social and Information Networks · Computer Science 2019-04-16 Masaki Ogura , Junichi Harada

Compartmental epidemic models have been widely used for predicting the course of epidemics, from estimating the basic reproduction number to guiding intervention policies. Studies commonly acknowledge these models' assumptions but less…

Populations and Evolution · Quantitative Biology 2022-11-23 Alexander F. Siegenfeld , Pratyush K. Kollepara , Yaneer Bar-Yam

Species sampling processes have long served as the fundamental framework for modeling random discrete distributions and exchangeable sequences. However, data arising from distinct but related sources require a broader notion of…

Statistics Theory · Mathematics 2026-02-03 Beatrice Franzolini , Antonio Lijoi , Igor Prünster , Giovanni Rebaudo

Burstiness, the tendency of interaction events to be heterogeneously distributed in time, is critical to information diffusion in physical and social systems. However, an analytical framework capturing the effect of burstiness on generic…

Physics and Society · Physics 2020-07-14 Samuel Unicomb , Gerardo Iñiguez , James P. Gleeson , Márton Karsai

The primary tool for predicting infectious disease spread and intervention effectiveness is the mass action Susceptible-Infected-Recovered model of Kermack and McKendrick. Its usefulness derives largely from its conceptual and mathematical…

Populations and Evolution · Quantitative Biology 2015-09-03 Joel C. Miller , Anja C. Slim , Erik M. Volz

In this paper we propose a generalized Gaussian process concurrent regression model for functional data where the functional response variable has a binomial, Poisson or other non-Gaussian distribution from an exponential family while the…

Methodology · Statistics 2014-02-03 Bo Wang , Jian Qing Shi

We propose a compartmental model for epidemiology wherein the population is split into groups with either comply or refuse to comply with protocols designed to slow the spread of a disease. Parallel to the disease spread, we assume that…

Dynamical Systems · Mathematics 2025-11-27 Christian Parkinson , Weinan Wang

Gaussian processes are a versatile framework for learning unknown functions in a manner that permits one to utilize prior information about their properties. Although many different Gaussian process models are readily available when the…

The analysis of diffusion processes in real-world propagation scenarios often involves estimating variables that are not directly observed. These hidden variables include parental relationships, the strengths of connections between nodes,…

Social and Information Networks · Computer Science 2016-05-12 Shohreh Shaghaghian , Mark Coates

We develop a scalable deep non-parametric generative model by augmenting deep Gaussian processes with a recognition model. Inference is performed in a novel scalable variational framework where the variational posterior distributions are…

Machine Learning · Computer Science 2016-03-02 Zhenwen Dai , Andreas Damianou , Javier González , Neil Lawrence

When partitioning workflows in realistic scenarios, the knowledge of the processing units is often vague or unknown. A naive approach to addressing this issue is to perform many controlled experiments for different workloads, each…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-03 Freddy C. Chua , Bernardo A. Huberman

In this paper we consider a network of spatially distributed sensors which collect measurement samples of a spatial field, and aim at estimating in a distributed way (without any central coordinator) the entire field by suitably fusing all…

Systems and Control · Computer Science 2018-05-23 Francesco Sasso , Angelo Coluccia , Giuseppe Notarstefano

We present a new family of exchangeable stochastic processes, the Functional Neural Processes (FNPs). FNPs model distributions over functions by learning a graph of dependencies on top of latent representations of the points in the given…

Machine Learning · Computer Science 2019-11-05 Christos Louizos , Xiahan Shi , Klamer Schutte , Max Welling

Modeling epidemic spread is critical for informing policy decisions aimed at mitigation. Accordingly, in this work we present a new data-driven method based on Gaussian process regression (GPR) to model epidemic spread through the…

Machine Learning · Statistics 2025-06-23 Baike She , Lei Xin , Philip E. Paré , Matthew Hale