학술논문

PrIsing: Privacy-Preserving Peer Effect Estimation via Ising Model
Document Type
Working Paper
Source
Subject
Statistics - Methodology
Computer Science - Cryptography and Security
Computer Science - Social and Information Networks
Mathematics - Statistics Theory
Statistics - Machine Learning
Language
Abstract
The Ising model, originally developed as a spin-glass model for ferromagnetic elements, has gained popularity as a network-based model for capturing dependencies in agents' outputs. Its increasing adoption in healthcare and the social sciences has raised privacy concerns regarding the confidentiality of agents' responses. In this paper, we present a novel $(\varepsilon,\delta)$-differentially private algorithm specifically designed to protect the privacy of individual agents' outcomes. Our algorithm allows for precise estimation of the natural parameter using a single network through an objective perturbation technique. Furthermore, we establish regret bounds for this algorithm and assess its performance on synthetic datasets and two real-world networks: one involving HIV status in a social network and the other concerning the political leaning of online blogs.
Comment: To Appear in AISTATS 2024