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On Second-order Optimization Methods for Federated Learning

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arxiv 2109.02388 v1 pith:DKQBDRT5 submitted 2021-09-06 cs.LG

classification cs.LG
keywords localsecond-orderfederatedoptimizationdistributedfedavglearningmethods
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We consider federated learning (FL), where the training data is distributed across a large number of clients. The standard optimization method in this setting is Federated Averaging (FedAvg), which performs multiple local first-order optimization steps between communication rounds. In this work, we evaluate the performance of several second-order distributed methods with local steps in the FL setting which promise to have favorable convergence properties. We (i) show that FedAvg performs surprisingly well against its second-order competitors when evaluated under fair metrics (equal amount of local computations)-in contrast to the results of previous work. Based on our numerical study, we propose (ii) a novel variant that uses second-order local information for updates and a global line search to counteract the resulting local specificity.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. pFedSOP : Accelerating Training Of Personalized Federated Learning Using Second-Order Optimization

    cs.DC 2025-06 reject novelty 4.0 of 10

    pFedSOP combines Gompertz-weighted local/global gradients with a rank-one Fisher Information Matrix update to speed up personalized federated learning, but the convergence proof is invalid and the update reduces to no...

  2. Accelerated Training of Federated Learning via Second-Order Methods

    cs.LG 2025-05 conditional novelty 3.0 of 10

    A survey that categorizes second-order federated learning methods and argues they reduce communication rounds, based on results borrowed from the cited papers rather than new experiments.

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