🤖 AI Summary
Federated learning (FL) faces two key challenges: high communication overhead and performance degradation under non-independent and identically distributed (Non-IID) data. While Analytical Federated Learning (AFL) achieves single-round aggregation and distributional robustness, it is restricted to linear models; nonlinear extensions (e.g., DeepAFL) forfeit the single-round advantage. This paper proposes SAFLe, a framework enabling scalable nonlinear modeling under strict single-round communication constraints. Its core innovation lies in a bucketed feature representation coupled with sparse grouped embeddings—mathematically proven to be equivalent to high-dimensional linear regression. This equivalence preserves AFL’s single-aggregation mechanism while endowing it with strong nonlinear expressivity. Experiments across multiple benchmarks demonstrate that SAFLe significantly outperforms linear AFL and multi-round DeepAFL in accuracy, while maintaining minimal communication cost and excellent scalability—establishing a new state-of-the-art for analytical federated learning.
📝 Abstract
Federated Learning (FL) is plagued by two key challenges: high communication overhead and performance collapse on heterogeneous (non-IID) data. Analytic FL (AFL) provides a single-round, data distribution invariant solution, but is limited to linear models. Subsequent non-linear approaches, like DeepAFL, regain accuracy but sacrifice the single-round benefit. In this work, we break this trade-off. We propose SAFLe, a framework that achieves scalable non-linear expressivity by introducing a structured head of bucketed features and sparse, grouped embeddings. We prove this non-linear architecture is mathematically equivalent to a high-dimensional linear regression. This key equivalence allows SAFLe to be solved with AFL's single-shot, invariant aggregation law. Empirically, SAFLe establishes a new state-of-the-art for analytic FL, significantly outperforming both linear AFL and multi-round DeepAFL in accuracy across all benchmarks, demonstrating a highly efficient and scalable solution for federated vision.