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[Feature Proposal] (New data partition strategy) Extended Dirichlet strategy #337

@liyipeng00

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@liyipeng00

Recently, I find one new data partition strategy called Extended Dirichlet strategy ~~~ ours :), which could be added in this repo.

It combines the two common partition strategies (i.e., Quantity-based class imbalance and Diribution-based class imbalance in Li et al. (2022)) to generate arbitrarily heterogeneous data. The difference is to add a step of allocating classes (labels) to determine the number of classes per client (denoted by $C$) before allocating samples via Dirichlet distribution (with concentrate parameter $\alpha$).

The implementation is in convergence. You can find more details in Convergence Analysis of Sequential Federated Learning on Heterogeneous Data.
[Figure:
Row 1: $C=2$ with $\alpha=0.1$, $\alpha=1.0$, $\alpha=10.0$;
Row 2: $C=5$ with $\alpha=0.1$, $\alpha=1.0$, $\alpha=10.0$;
Row 3: $C=10$ with $\alpha=0.1$, $\alpha=1.0$, $\alpha=10.0$; ]

Li, Q., Diao, Y., Chen, Q., & He, B. (2022, May). Federated learning on non-iid data silos: An experimental study. In 2022 IEEE 38th International Conference on Data Engineering (ICDE) (pp. 965-978). IEEE.

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