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We lay theoretical foundations for new database release mechanisms that allow third-parties to construct consistent estimators of population statistics, while ensuring that the privacy of each individual contributing to the database is…

Machine Learning · Statistics 2018-06-01 Matej Balog , Ilya Tolstikhin , Bernhard Schölkopf

We propose a novel framework for the differentially private ERM, input perturbation. Existing differentially private ERM implicitly assumed that the data contributors submit their private data to a database expecting that the database…

Machine Learning · Statistics 2017-10-23 Kazuto Fukuchi , Quang Khai Tran , Jun Sakuma

A general stochastic model for susceptible -> infective -> recovered (SIR) epidemics in non homogeneous populations is considered. The heterogeneity is a very important aspect here since it allows more realistic but also more complex…

Populations and Evolution · Quantitative Biology 2020-08-13 Zeynep Gökçe İşlier , Wolfgang Hörmann , Refik Güllü

We consider the problem of privacy protection in Reinforcement Learning (RL) algorithms that operate over population processes, a practical but understudied setting that includes, for example, the control of epidemics in large populations…

Machine Learning · Computer Science 2024-06-26 Samuel Yang-Zhao , Kee Siong Ng

Differential privacy is becoming a gold standard for privacy research; it offers a guaranteed bound on loss of privacy due to release of query results, even under worst-case assumptions. The theory of differential privacy is an active…

In public health interventions such as distributing preexposure prophylaxis (PrEP) for HIV prevention, decision makers often use seeding algorithms to identify key individuals who can amplify intervention impact. However, building a…

Social and Information Networks · Computer Science 2025-11-27 Yuxin Liu , M. Amin Rahimian , Fang-Yi Yu

Privacy-preserving machine learning algorithms are crucial for the increasingly common setting in which personal data, such as medical or financial records, are analyzed. We provide general techniques to produce privacy-preserving…

Machine Learning · Computer Science 2011-02-18 Kamalika Chaudhuri , Claire Monteleoni , Anand D. Sarwate

The reproductive number R_0 (and its value after initial disease emergence R) has long been used to predict the likelihood of pathogen invasion, to gauge the potential severity of an epidemic, and to set policy around interventions.…

Populations and Evolution · Quantitative Biology 2020-06-29 Clara L. Shaw , David A. Kennedy

Differential privacy (DP) is getting attention as a privacy definition when publishing statistics of a dataset. This paper focuses on the limitation that DP inevitably causes two-sided error, which is not desirable for epidemic analysis…

Cryptography and Security · Computer Science 2022-09-07 Shun Takagi , Yang Cao , Masatoshi Yoshikawa

Using a recently proposed privacy definition of R\'enyi Differential Privacy (RDP), we re-examine the inherent privacy of releasing a single sample from a posterior distribution. We exploit the impact of the prior distribution in mitigating…

Machine Learning · Computer Science 2017-10-04 Joseph Geumlek , Shuang Song , Kamalika Chaudhuri

We study a multi-type SIR epidemic process among a heterogeneous population that interacts through a network. When we base social contact on a random graph with given vertex degrees, we give limit theorems on the fraction of infected…

Physics and Society · Physics 2021-11-02 Hamed Amini , Andreea Minca

In this work, we revisit the basic reproduction rate $\mathcal{R}_{0}$ definition for analysis of epidemic-non-epidemic phases describing the dynamics of the discrete stochastic version of the epidemic $SIR$ model based on the Master…

Biological Physics · Physics 2007-05-23 O. E. Aiello , M. A. A. da Silva

Many infectious diseases can lead to re-infection. We examined the relationship between the prevalence of repeat infection and the basic reproductive number (R0). First we solved a generic, deterministic compartmental model of re-infection…

Populations and Evolution · Quantitative Biology 2019-03-15 Joshua Feldman , Sharmistha Mishra

One goal of statistical privacy research is to construct a data release mechanism that protects individual privacy while preserving information content. An example is a {\em random mechanism} that takes an input database $X$ and outputs a…

Statistics Theory · Mathematics 2012-01-11 Larry Wasserman , Shuheng Zhou

We propose two SIR models which incorporate sociological behavior of groups of individuals. It is these differences in behaviors which impose different infection rates on the individual susceptible populations, rather than biological…

Dynamical Systems · Mathematics 2022-07-26 Robert F. Allen , Katherine Heller , Matthew A. Pons

It is common practice to use data containing personal information to build predictive models in the framework of empirical risk minimization (ERM). While these models can be highly accurate in prediction, sharing the results from these…

Machine Learning · Statistics 2024-09-30 Spencer Giddens , Yiwang Zhou , Kevin R. Krull , Tara M. Brinkman , Peter X. K. Song , Fang Liu

For nearly a century, the initial reproduction number (R0) has been used as a one number summary to compare outbreaks of infectious disease, yet there is no `standard' estimator for R0. Difficulties in estimating R0 arise both from how a…

Populations and Evolution · Quantitative Biology 2020-03-25 Shannon Gallagher , Andersen Chang , William F. Eddy

Imagine a group of citizens willing to collectively contribute their personal data for the common good to produce socially useful information, resulting from data analytics or machine learning computations. Sharing raw personal data with a…

Cryptography and Security · Computer Science 2021-12-24 Riad Ladjel , Nicolas Anciaux , Aurélien Bellet , Guillaume Scerri

Randomized controlled trials (RCTs) have become powerful tools for assessing the impact of interventions and policies in many contexts. They are considered the gold standard for causal inference in the biomedical fields and many social…

We study a collaborative revenue management problem where multiple decentralized parties agree to share some of their capacities. This collaboration is performed by constructing a large mathematical programming model available to all…

Optimization and Control · Mathematics 2021-12-30 Utku Karaca , S. Ilker Birbil , Nursen Aydin , Gizem Mullaoglu