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Adaptive Federated Learning with Entropy-based Decentralized Learning Rate


แนวคิดหลัก
By leveraging entropy as a new metric to measure the diversity among clients' local model parameters, the proposed FedEnt algorithm adaptively adjusts the learning rate for each client to achieve fast convergence of the global model under non-IID data distribution.
บทคัดย่อ

The paper proposes an adaptive Federated Learning (FL) algorithm called FedEnt that utilizes entropy to alleviate the negative influence of heterogeneity among participating clients. The key contributions are:

  1. FedEnt introduces an entropy term to measure the diversity among the local model parameters of all clients. This entropy term is incorporated into the objective function to adaptively adjust the learning rate for each client.

  2. Due to the lack of communication among clients during local training, a mean-field approach is introduced to estimate the terms related to other clients' local parameters. This enables a decentralized design of the adaptive learning rate for each client.

  3. Rigorous theoretical analysis is provided on the existence and determination of the mean-field estimators. The convergence rate of the proposed FedEnt algorithm is also proved.

  4. Extensive experiments on real-world datasets (MNIST, EMNIST-L, CIFAR10, CIFAR100) show that FedEnt outperforms state-of-the-art FL algorithms (FedAvg, FedAdam, FedProx, FedDyn) under non-IID settings and achieves faster convergence.

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สถิติ
The paper provides the following key statistics: The bounded gradient assumption states that the local gradient function ∇Fi(w) has a D-bound, i.e., ∥∇Fi(w)∥≤D. The L-Lipschitz smoothness assumption states that the local loss function Fi(w) is L-Lipschitz smooth, i.e., ∥∇Fi(w) −∇Fi(w′)∥≤L∥w −w′∥. Numerical experiments are conducted to determine the values of D and L under different datasets and local model setups, as shown in Table 2.
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ข้อมูลเชิงลึกที่สำคัญจาก

by Shensheng Zh... ที่ arxiv.org 04-15-2024

https://arxiv.org/pdf/2303.14966.pdf
Adaptive Federated Learning via New Entropy Approach

สอบถามเพิ่มเติม

How can the proposed FedEnt algorithm be extended to handle dynamic client participation, where clients may join or leave the federated learning process during training

To extend the FedEnt algorithm to handle dynamic client participation, where clients may join or leave the federated learning process during training, we can implement a mechanism for client registration and deregistration. Dynamic Client Registration: When a new client wants to join the federated learning process, they can register with the central server by providing their local dataset and model parameters. The server can then update the aggregation weights and mean-field estimators to incorporate the new client's information. Dynamic Client Deregistration: If a client needs to leave the federated learning process, the central server can adjust the aggregation weights and mean-field estimators accordingly to exclude the departing client's contribution. Adaptive Learning Rate Adjustment: With the addition or removal of clients, the entropy-based adaptive learning rate in FedEnt can be adjusted dynamically to account for the changing heterogeneity in the system. The mean-field terms can be recalculated to reflect the updated client composition. By implementing these dynamic client participation mechanisms, FedEnt can adapt to changes in the client population, ensuring efficient and effective federated learning even with varying client numbers.

What are the potential trade-offs between the convergence speed and model accuracy when adjusting the entropy-based adaptive learning rate in FedEnt

In FedEnt, there are potential trade-offs between convergence speed and model accuracy when adjusting the entropy-based adaptive learning rate. Convergence Speed vs. Model Accuracy: Increasing the learning rate based on entropy can lead to faster convergence by addressing parameter deviation among clients. However, a higher learning rate may result in overshooting and oscillations, potentially compromising model accuracy. Hyperparameter Optimization: The trade-off between convergence speed and model accuracy can be fine-tuned by optimizing the hyperparameters in FedEnt. Parameters like the entropy weight, decay rate, and aggregation weight can be adjusted to strike a better balance between speed and accuracy. Regularization Techniques: Incorporating regularization techniques can help mitigate the trade-offs. Techniques like L1 or L2 regularization can prevent overfitting and stabilize the learning process, enhancing both convergence speed and model accuracy. By carefully optimizing the hyperparameters and incorporating regularization techniques, FedEnt can achieve a balance between convergence speed and model accuracy, ensuring optimal performance in federated learning tasks.

Can the hyperparameters be further optimized to strike a better balance

The entropy-based approach in FedEnt can be combined with other federated optimization techniques to further improve overall performance. Here are some ways to integrate the entropy-based approach with other methods: Partial Client Selection: By incorporating entropy-based client selection, the system can prioritize clients with diverse data distributions, enhancing the overall model's generalization ability. Clients with unique data patterns can contribute more to the global model, improving performance. Asynchronous Aggregation: Utilizing entropy to adaptively adjust the aggregation frequency in asynchronous federated optimization can enhance the convergence speed. Clients with significant parameter deviations can trigger more frequent aggregation, ensuring faster convergence. Adaptive Weighted Aggregation: Combining entropy-based adaptive learning rates with weighted aggregation can optimize the contribution of each client based on their data distribution. Clients with higher entropy values can be assigned higher aggregation weights, improving the model's robustness. By integrating the entropy-based approach with partial client selection, asynchronous aggregation, and adaptive weighted aggregation, FedEnt can leverage the strengths of each technique to achieve superior performance in federated learning scenarios.
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