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Recovering Frequencies from Poisoning Attacks against Local Differential Privacy


Core Concepts
LDPRecover proposes a method to recover accurate aggregated frequencies from poisoning attacks under LDP protocols, even without knowledge of the attack details.
Abstract

LDPRecover addresses the vulnerability of LDP protocols to poisoning attacks, proposing a method to recover genuine frequencies. It establishes an analytical framework for understanding the relationship between poisoned, genuine, and malicious frequencies. By constructing a genuine frequency estimator and learning statistics of malicious data through an adaptive attack, LDPRecover formulates the recovery problem as a Constraint Inference (CI) problem. The method can be applied in scenarios with or without prior knowledge of the attack details, providing accurate frequency recovery.

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Stats
In untargeted poisoning attacks, the approximate summation of malicious frequencies is -qd/(p-q). The approximate summation of malicious frequencies for all items is 1-qd/(p-q). The estimated genuine frequency estimator is approximately unbiased. The approximate variance of the estimator is σ^2_˜x.
Quotes
"Local differential privacy (LDP), which enables an untrusted server to collect aggregated statistics from distributed users while protecting their privacy." "LDPRecover can serve as a frequency recovery paradigm that recovers more accurate aggregated frequencies by integrating attack details." "Our contributions include proposing an LDPRecover method to recover accurate aggregated frequencies from poisoned ones."

Key Insights Distilled From

by Xinyue Sun,Q... at arxiv.org 03-15-2024

https://arxiv.org/pdf/2403.09351.pdf
LDPRecover

Deeper Inquiries

How can LDPRecover adapt to new types of poisoning attacks

LDPRecover can adapt to new types of poisoning attacks by leveraging its adaptive attack mechanism. This feature allows the method to unify existing poisoning attacks and learn the statistics of malicious frequencies within the adaptive attack framework. By establishing an attacker-designed distribution over the encoded domain, LDPRecover can draw samples from this distribution to craft data for malicious users, thereby adapting to different attack scenarios. This flexibility enables LDPRecover to counter novel poisoning strategies effectively.

What are potential limitations or drawbacks of using LDPRecover in real-world applications

While LDPRecover offers a robust solution for recovering accurate aggregated frequencies from poisoned data in LDP protocols, there are potential limitations and drawbacks in real-world applications. One limitation is the reliance on assumptions about the distributions of genuine and malicious frequencies, which may not always hold true in practice. Additionally, the performance of LDPRecover could be impacted by variations in privacy budgets or perturbation probabilities across different implementations of LDP protocols. Moreover, the computational complexity involved in solving constraint inference problems for frequency recovery may pose challenges in large-scale deployment scenarios.

How does the concept of local differential privacy impact broader discussions on data security and privacy

The concept of local differential privacy (LDP) plays a significant role in broader discussions on data security and privacy by offering a practical approach to protecting sensitive information while enabling data analysis. By allowing individual users to locally perturb their data before sharing it with an untrusted server, LDP ensures that personal information remains private even during aggregation processes. This paradigm shifts focus towards preserving user privacy without compromising utility or accuracy in statistical analyses. The adoption of LDP protocols like those addressed by methods such as LDPRecover highlights a growing emphasis on decentralized approaches to safeguarding data confidentiality and maintaining trust between users and service providers amidst increasing concerns about privacy violations and unauthorized access to personal information.
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