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Byzantine-Resilient Secure Federated Learning (2007.11115v2)

Published 21 Jul 2020 in cs.CR, cs.DC, cs.LG, and stat.ML

Abstract: Secure federated learning is a privacy-preserving framework to improve machine learning models by training over large volumes of data collected by mobile users. This is achieved through an iterative process where, at each iteration, users update a global model using their local datasets. Each user then masks its local model via random keys, and the masked models are aggregated at a central server to compute the global model for the next iteration. As the local models are protected by random masks, the server cannot observe their true values. This presents a major challenge for the resilience of the model against adversarial (Byzantine) users, who can manipulate the global model by modifying their local models or datasets. Towards addressing this challenge, this paper presents the first single-server Byzantine-resilient secure aggregation framework (BREA) for secure federated learning. BREA is based on an integrated stochastic quantization, verifiable outlier detection, and secure model aggregation approach to guarantee Byzantine-resilience, privacy, and convergence simultaneously. We provide theoretical convergence and privacy guarantees and characterize the fundamental trade-offs in terms of the network size, user dropouts, and privacy protection. Our experiments demonstrate convergence in the presence of Byzantine users, and comparable accuracy to conventional federated learning benchmarks.

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Authors (3)
  1. Jinhyun So (11 papers)
  2. Basak Guler (15 papers)
  3. A. Salman Avestimehr (80 papers)
Citations (208)

Summary

Byzantine-Resilient Secure Federated Learning: An Expert Review

The paper "Byzantine-Resilient Secure Federated Learning" presents a novel framework, BREA, addressing the double challenge of ensuring Byzantine fault-tolerance while preserving user privacy in a single-server federated learning setup. This paper stands out by being one of the first to tackle the Byzantine-resilience in conjunction with privacy in the federated learning context, a domain where distributed training occurs across several mobile devices without the need to share individual data with a central server.

Key Contributions

The core innovation of BREA is its ability to handle adversarial manipulations by malicious users, often referred to as Byzantine adversaries, while ensuring that individual user updates remain private. The authors introduce a multi-faceted approach that amalgamates stochastic quantization, verifiable secret sharing, secure distance computation, and distance-based outlier detection, concluding with a secure aggregation of selected user updates.

  1. Stochastic Quantization: This step ensures that user updates, which originally exist in a real-valued domain, are safely converted to a finite field suitable for secure computations and aggregation. The use of stochastic quantization retains unbiasedness while maintaining bounded variance, ensuring the fidelity of the updates during the transformation.
  2. Verifiable Secret Sharing: Leveraging Feldman’s verifiable secret sharing method enables honest indication that each user’s model updates are valid and correctly shared amongst users, safeguarding against malicious tampering of secret shares.
  3. Secure Distance Computation and User Selection: Utilizing secure computations on secret shares, the framework computes pairwise distances among user models to perform distance-based outlier detection. This is crucial for identifying and eliminating malicious updates by Byzantine adversaries.
  4. Robust Secure Model Aggregation: Finally, BREA ensures the aggregated model is robust against Byzantine faults. Through a secure model aggregation protocol, the global model can be updated confidently, being resilient to adversarial strategies.

Theoretical Analysis and Results

The authors provide theoretical guarantees for the convergence and security of BREA. A significant aspect of their analysis hinges on the understanding of the trade-offs between the network size, user dropouts, and the number of Byzantine users. The threshold condition showing "N ≥ 2A + 1 + max{m+2, D+2T}" is pivotal for understanding the balance needed between user numbers, tolerable number of adversaries (A), and potential dropouts (D). Here, N represents the total number of users, T the trusted thresholds protecting against collusions, and m is the number of model updates selected for aggregation.

Additionally, the framework ensures convergence to a stationary point, aligning with established stochastic gradient descent protocols. The privacy guarantees against inference of individual model updates are maintained even in scenarios with substantial dropout or Byzantine participation, ensuring practicability in mobile and IoT contexts.

Implications and Future Directions

The implications of BREA's framework are significant for practical federated learning systems, especially where the assurance against adversarial attacks is as crucial as maintaining user privacy. The framework’s ability to handle up to 30% Byzantine users without model performance degradation is noteworthy. Such resilience is vital as federated systems see increased deployment in scenarios demanding high privacy standards, such as healthcare and finance.

Further research directions could focus on optimizing communication overhead in larger networks by adopting more advanced coding techniques and exploring alternative outlier detection strategies that could improve efficiency in heterogeneous and non-i.i.d. data environments. Given the focus on a single-server paradigm, future explorations into multi-server models might further enhance security and resilience, particularly through the lens of Byzantine fault tolerance.

Conclusion

The paper provides a substantial contribution to secure federated learning by presenting a framework that is both theoretically sound and empirically validated. BREA stands as a pivotal advancement in federated learning, heralding new possibilities for applying secure and resilient distributed learning in adversarial settings without compromising user privacy.