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Decentralized Federated Averaging (2104.11375v1)

Published 23 Apr 2021 in cs.DC and stat.ML

Abstract: Federated averaging (FedAvg) is a communication efficient algorithm for the distributed training with an enormous number of clients. In FedAvg, clients keep their data locally for privacy protection; a central parameter server is used to communicate between clients. This central server distributes the parameters to each client and collects the updated parameters from clients. FedAvg is mostly studied in centralized fashions, which requires massive communication between server and clients in each communication. Moreover, attacking the central server can break the whole system's privacy. In this paper, we study the decentralized FedAvg with momentum (DFedAvgM), which is implemented on clients that are connected by an undirected graph. In DFedAvgM, all clients perform stochastic gradient descent with momentum and communicate with their neighbors only. To further reduce the communication cost, we also consider the quantized DFedAvgM. We prove convergence of the (quantized) DFedAvgM under trivial assumptions; the convergence rate can be improved when the loss function satisfies the P{\L} property. Finally, we numerically verify the efficacy of DFedAvgM.

Citations (176)

Summary

  • The paper introduces DFedAvgM, a novel approach that replaces centralized aggregation with peer-to-peer momentum-based SGD to mitigate privacy risks.
  • The paper establishes theoretical convergence guarantees under nonconvex scenarios, demonstrating competitive rates under the Polyak-Lojasiewicz condition.
  • The paper integrates quantization techniques to reduce communication costs, offering a practical solution for privacy-preserving and efficient model training.

Decentralized Federated Averaging

The paper “Decentralized Federated Averaging” offers a comprehensive exploration of a novel federated learning approach, termed Decentralized Federated Averaging with Momentum (DFedAvgM). Traditional federated learning approaches, like Federated Averaging (FedAvg), typically rely on a centralized server to aggregate model updates from multiple clients. While this centralized architecture offers robust communication efficiency, it presents significant drawbacks, notably privacy vulnerabilities and increased potential for server-side attacks. DFedAvgM mitigates these concerns by employing a decentralized approach, where communication occurs directly among clients arranged in a graph structure, removing the centralized server from the process.

Key Contributions and Results

Algorithmic Innovation: The authors propose DFedAvgM, which extends the central principles of FedAvg to a decentralized framework. Clients perform stochastic gradient descent (SGD) with momentum locally and share their model updates with neighboring clients rather than a central server. This decentralized communication efficiently reduces the communication costs inherent in server-client architectures.

Theoretical Grounding: The paper establishes convergence guarantees for DFedAvgM under general nonconvex optimization scenarios. Importantly, it demonstrates that incorporating momentum into the decentralized averaging algorithm can achieve convergence rates competitive with traditional SGD and decentralized SGD (DSGD). Moreover, the authors provide refined convergence analysis under the Polyak-Lojasiewicz (PL) condition, revealing potential for accelerated convergence rates when specific conditions are met.

Quantization Integration: To further enhance communication efficiency, the authors introduce a quantized version of DFedAvgM. This approach ensures that communication costs are kept minimal by transmitting quantized model updates, reducing the burden on network resources without significant loss of model performance.

Empirical Evaluation: Through extensive experiments across different datasets, architectures, and both IID and Non-IID settings, DFedAvgM demonstrated effectiveness comparable to FedAvg, with notable efficiency in communication reduction. Tests also verified DFedAvgM’s potential in safeguarding training data privacy against model membership inference attacks.

Implications and Future Directions

The implications of decentralized federated learning models like DFedAvgM are profound. By enabling direct client-to-client communication, the architecture inherently offers enhanced privacy protections and robustness against server-side attacks. Furthermore, decentralized mechanisms pave the way for real-world applications today constrained by privacy concerns or excessive communication overhead.

The paper paves the way for future exploration into network topology optimization in decentralized frameworks. While DFedAvgM adopts a simple graph structure, researchers might investigate complex topology designs that optimally balance communication cost and convergence speed. Such advancements would further bridge the gap between theory and practical application in diverse, data-sensitive environments.

Additionally, integrating advanced quantization techniques and asynchronous communication protocols could further enhance DFedAvgM’s efficiency, particularly in environments with limited bandwidth. As federated learning continues to gain traction in both academic and industrial spheres, decentralized strategies like DFedAvgM will undoubtedly play a crucial role in shaping the landscape of privacy-preserving machine learning.