Seeding with Differentially Private Network Information
In public health applications such as HIV prevention, complete behavioral contact networks are often unavailable; only privacy-sensitive, sequential contact samples can be obtained. Method: This paper introduces the first differentially private influence maximization seeding algorithm, supporting both centralized and local privacy models. It integrates randomized data collection, cascade-based influence estimation from sampled cascades, and rigorous theoretical analysis of estimation error bounds—ensuring performance guarantees under limited samples. Contribution/Results: Experiments show that under centralized differential privacy, algorithmic performance degrades gracefully as the privacy budget decreases; under local differential privacy, a larger budget is required to maintain effectiveness—consistent with theoretical predictions. This work provides the first solution for identifying high-impact individuals in privacy-constrained public health interventions that simultaneously offers provable theoretical guarantees and empirical efficacy.