Federated Optimization: Distributed Machine Learning for On-Device Intelligence
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Abstract (arXiv)
We introduce a new and increasingly relevant setting for distributed optimization in machine learning, where the data defining the optimization are unevenly distributed over an extremely large number of nodes. The goal is to train a high-quality centralized model. We refer to this setting as Federated Optimization. In this setting, communication efficiency is of the utmost importance and minimizing the number of rounds of communication is the principal goal. A motivating example arises when we keep the training data locally on users' mobile devices instead of logging it to a data center for training. In federated optimziation, the devices are used as compute nodes performing computation on their local data in order to update a global model. We suppose that we have extremely large number of devices in the network --- as many as the number of users of a given service, each of which has only a tiny fraction of the total data available. In particular, we expect the number of data points available locally to be much smaller than the number of devices. Additionally, since different users generate data with different patterns, it is reasonable to assume that no device has a representative sample of the overall distribution. We show that existing algorithms are not suitable for this setting, and propose a new algorithm which shows encouraging experimental results for sparse convex problems. This work also sets a path for future research needed in the context of federated optimization.
Key facts. Cited by 558 papers in the map (data through 7 Oct 2026). First posted on arXiv 8 Oct 2016.
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Citing papers per year: 2021: 121; 2022: 120; 2023: 126; 2024: 98; 2025: 63; 2026: 30.
558 papers.
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- 2024On the Relevance of Byzantine Robust Optimization Against Data Poisoning1 May 2024
- 2024FedMIA: An Effective Membership Inference Attack Exploiting "All for One" Principle in Federated Learning9 Feb 2024
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- 2022Git Re-Basin: Merging Models modulo Permutation Symmetriescited by 460
- 2021See through Gradients: Image Batch Recovery via GradInversioncited by 320
- 2021A Field Guide to Federated Optimizationcited by 312
- 2021Training Neural Networks with Fixed Sparse Maskscited by 212
- 2021Adversary Instantiation: Lower Bounds for Differentially Private Machine Learningcited by 193
- 2022FedDC: Federated Learning with Non-IID Data via Local Drift Decoupling and Correctioncited by 181
- 2023FederatedScope-LLM: A Comprehensive Package for Fine-tuning Large Language Models in Federated Learningcited by 146
- 2023Dataset Distillation: A Comprehensive Reviewcited by 126
- 2021Distributed Learning in Wireless Networks: Recent Progress and Future Challengescited by 125
- 2021Linear Convergence in Federated Learning: Tackling Client Heterogeneity and Sparse Gradientscited by 122
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- 2026Robust Federated Q-Learning with Almost No Communication24 Aug 2026
- 2026Polar Code Based Federated Learning: Convergence Analysis and Resource Allocation14 Aug 2026
- 2026Robust Federated Learning Under Real-World Client Churn8 Jul 2026
- 2026Efficient Network Inference via Hardware-Aware Architecture Search, Model Pruning & Quantization22 Jun 2026
- 2026Provably Communication-Efficient and Privacy-Preserving Federated Graph Neural Networks25 May 2026
- 2026Optimized Federated Knowledge Distillation with Distributed Neural Architecture Search20 May 2026
- 2026FedOUI: OUI-Guided Client Weighting for Federated Aggregation12 May 2026
- 2026Evaluating Federated Learning approaches for mammography under breast density heterogeneity9 May 2026
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- 2026Byzantine-Robust Distributed SGD: A Unified Analysis and Tight Error Bounds11 Apr 2026
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