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cs.LG2026

Solution-space heterogeneity shapes federated learning dynamics across partial differential equations

Ping Luo, Jiahuan Wang, Ziqing Wen +2

Federated scientific machine learning enables institutions to train neural surrogates without centralizing local physical data, yet studies of partial differential equations (PDEs)…

cs.LG2026

FedACT: Federated Adaptive Coordinate Trust Modulation for Robust Transformer Training under Data Heterogeneity

Shuai Li, Qinglin Wang, Ping Luo +8

Federated Transformer training increasingly relies on local AdamW, whose adaptive updates can provide much stronger local progress than SGD-based training. However, under heterogen…

cs.LG2026

MoLS: SNR-Guided Module-Wise Learning-Rate Calibration for Large Language Models

Ziqing Wen, Zhouyang Liu, Jiahuan Wang +5

Large language models (LLMs) contain functionally distinct modules with heterogeneous gradient statistics. Although Adam(W) adapts updates at the parameter level, selecting relativ…

cs.LG2026

Stability and Generalization for Decentralized Markov SGD

Jiahuan Wang, Ziqing Wen, Ping Luo +2

Stochastic gradient methods are central to large-scale learning, yet their generalization theory typically relies on independent sampling assumptions. In many practical application…

cs.LG2026

Local Gradient Regulation Stabilizes Federated Learning under Client Heterogeneity

Ping Luo, Jiahuan Wang, Ziqing Wen +2

Federated learning (FL) enables collaborative model training across distributed clients without sharing raw data, yet its stability is fundamentally challenged by statistical heter…