Federated Optimization:Distributed Optimization Beyond the Datacenter
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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 distributed (unevenly) over an extremely large number of nodes, but the goal remains to train a high-quality centralized model. We refer to this setting as Federated Optimization. In this setting, communication efficiency is of utmost importance. A motivating example for federated optimization arises when we keep the training data locally on users' mobile devices rather than logging it to a data center for training. Instead, the mobile devices are used as nodes performing computation on their local data in order to update a global model. We suppose that we have an extremely large number of devices in our network, each of which has only a tiny fraction of data available totally; 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, we 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. This work also sets a path for future research needed in the context of federated optimization.
Key facts. Cited by 195 papers in the map (data through 14 Oct 2026). First posted on arXiv 11 Nov 2015.
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Citing papers per year: 2021: 55; 2022: 48; 2023: 34; 2024: 26; 2025: 21; 2026: 11.
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- 2021Membership Inference Attacks on Machine Learning: A Surveycited by 321
- 2021Robbing the Fed: Directly Obtaining Private Data in Federated Learning with Modified Modelscited by 108
- 2021Fast Federated Learning in the Presence of Arbitrary Device Unavailabilitycited by 72
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- 2022Efficient Split-Mix Federated Learning for On-Demand and In-Situ Customizationcited by 35
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- 2024Dealing Doubt: Unveiling Threat Models in Gradient Inversion Attacks under Federated Learning, A Survey and Taxonomy16 May 2024
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- 2021Membership Inference Attacks on Machine Learning: A Surveycited by 321
- 2022An Equivalence Between Data Poisoning and Byzantine Gradient Attackscited by 16
- 2024Unlearning during Learning: An Efficient Federated Machine Unlearning Methodcited by 14
- 2024Ferrari: Federated Feature Unlearning via Optimizing Feature Sensitivitycited by 11
- 2023Who Leaked the Model? Tracking IP Infringers in Accountable Federated Learningcited by 10
- 2022Thinking Two Moves Ahead: Anticipating Other Users Improves Backdoor Attacks in Federated Learningcited by 7
- 2024Privacy-Preserving Split Learning with Vision Transformers using Patch-Wise Random and Noisy CutMixcited by 2
- 2026DualOptim+: Bridging Shared and Decoupled Optimizer States for Better Machine Unlearning in Large Language Modelscited by 0
- 2026Dual-Locking Learned AI Models: A PIN-Based Sparse QIM Watermarking and Adaptive Index Permutation Approachcited by 0
- 2026Dual-Locking Learned AI Models: A PIN-Based Sparse QIM Watermarking and Adaptive Index Permutation Approach19 Sep 2026
- 2026DualOptim+: Bridging Shared and Decoupled Optimizer States for Better Machine Unlearning in Large Language Models20 May 2026
- 2024Privacy-Preserving Split Learning with Vision Transformers using Patch-Wise Random and Noisy CutMix2 Aug 2024
- 2024Unlearning during Learning: An Efficient Federated Machine Unlearning Method24 May 2024
- 2024Ferrari: Federated Feature Unlearning via Optimizing Feature Sensitivity23 May 2024
- 2023Who Leaked the Model? Tracking IP Infringers in Accountable Federated Learning6 Dec 2023
- 2022Thinking Two Moves Ahead: Anticipating Other Users Improves Backdoor Attacks in Federated Learning17 Oct 2022
- 2022An Equivalence Between Data Poisoning and Byzantine Gradient Attacks17 Feb 2022
- 2021Membership Inference Attacks on Machine Learning: A Survey14 Mar 2021
- 2021Robbing the Fed: Directly Obtaining Private Data in Federated Learning with Modified Modelscited by 108
- 2021Fast Federated Learning in the Presence of Arbitrary Device Unavailabilitycited by 72
- 2023TARGET: Federated Class-Continual Learning via Exemplar-Free Distillationcited by 65
- 2021Deep Learning in Human Activity Recognition with Wearable Sensors: A Review on Advancescited by 54
- 2022Federated Learning via Inexact ADMMcited by 44
- 2021FedCor: Correlation-Based Active Client Selection Strategy for Heterogeneous Federated Learningcited by 43
- 2021Gradient Disaggregation: Breaking Privacy in Federated Learning by Reconstructing the User Participant Matrixcited by 43
- 2021Sharp Bounds for Federated Averaging (Local SGD) and Continuous Perspectivecited by 38
- 2021Scaling Federated Learning for Fine-tuning of Large Language Modelscited by 36
- 2021Non-IID data and Continual Learning processes in Federated Learning: A long road aheadcited by 36
- 2022Efficient Split-Mix Federated Learning for On-Demand and In-Situ Customizationcited by 35
- 2021Concept drift detection and adaptation for federated and continual learningcited by 32
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- 2026Theoretical Foundations of Communication-Efficient, Robust, and Practical Distributed and Federated Optimization6 Aug 2026
- 2026An AI-Based Solution for Secure Service Provisioning in IoT29 Jun 2026
- 2026Byzantine-Robust Optimization under (L0, L1)-Smoothness12 Mar 2026
- 2026Deep Learning-based Assessment of the Relation Between the Third Molar and Mandibular Canal on Panoramic Radiographs using Local, Centralized, and Federated Learning12 Mar 2026
- 2026Communication-Efficient Federated Learning by Exploiting Spatio-Temporal Correlations of Gradients15 Jan 2026
- 2026Lean Clients, Full Accuracy: Hybrid Zeroth- and First-Order Split Federated Learning14 Jan 2026
- 2026Proof of Reasoning for Privacy Enhanced Federated Blockchain Learning at the Edge12 Jan 2026
- 2025Scaling Unsupervised Multi-Source Federated Domain Adaptation through Group-Wise Discrepancy Minimization9 Oct 2025
- 2025Impact of Labeling Inaccuracy and Image Noise on Tooth Segmentation in Panoramic Radiographs using Federated, Centralized and Local Learning8 Sep 2025
- 2025Benchmarking Federated Learning for Throughput Prediction in 5G Live Streaming Applications11 Aug 2025
- 2025SHeRL-FL: When Representation Learning Meets Split Learning in Hierarchical Federated Learning11 Aug 2025
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