Federated Learning of a Mixture of Global and Local Models
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Abstract (arXiv)
We propose a new optimization formulation for training federated learning models. The standard formulation has the form of an empirical risk minimization problem constructed to find a single global model trained from the private data stored across all participating devices. In contrast, our formulation seeks an explicit trade-off between this traditional global model and the local models, which can be learned by each device from its own private data without any communication. Further, we develop several efficient variants of SGD (with and without partial participation and with and without variance reduction) for solving the new formulation and prove communication complexity guarantees. Notably, our methods are similar but not identical to federated averaging / local SGD, thus shedding some light on the role of local steps in federated learning. In particular, we are the first to i) show that local steps can improve communication for problems with heterogeneous data, and ii) point out that personalization yields reduced communication complexity.
Key facts. Cited by 208 papers in the map (data through 7 Oct 2026). First posted on arXiv 10 Feb 2020.
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Citing papers per year: 2020: 2; 2021: 47; 2022: 50; 2023: 42; 2024: 34; 2025: 24; 2026: 9.
208 papers.
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- 2021Exploiting Shared Representations for Personalized Federated Learningcited by 537
- 2021Towards Personalized Federated Learningcited by 462
- 2021Federated Learning on Non-IID Data: A Surveycited by 345
- 2021A Field Guide to Federated Optimizationcited by 312
- 2021Personalized Federated Learning using Hypernetworkscited by 210
- 2021Federated Multi-Task Learning under a Mixture of Distributionscited by 189
- 2021FedBABU: Towards Enhanced Representation for Federated Image Classificationcited by 180
- 2023Heterogeneous Federated Learning: State-of-the-art and Research Challengescited by 160
- 2021Federated Learning for Open Bankingcited by 138
- 2022ProxSkip: Yes! Local Gradient Steps Provably Lead to Communication Acceleration! Finally!cited by 134
- 2021Multi-Center Federated Learning: Clients Clustering for Better Personalizationcited by 112
- 2021Parameterized Knowledge Transfer for Personalized Federated Learningcited by 108
38 more
- 2023Personalized Federated Learning with Feature Alignment and Classifier Collaborationcited by 97
- 2021Federated Reconstruction: Partially Local Federated Learningcited by 78
- 2021Personalized Federated Learning with Gaussian Processescited by 76
- 2022Personalized Federated Learning via Variational Bayesian Inferencecited by 68
- 2023Advances and Challenges in Meta-Learning: A Technical Reviewcited by 65
- 2021Federated Multi-armed Bandits with Personalizationcited by 62
- 2021What Do We Mean by Generalization in Federated Learning?cited by 62
- 2021Personalized Federated Learning through Local Memorizationcited by 57
- 2021Adapt to Adaptation: Learning Personalization for Cross-Silo Federated Learningcited by 53
- 2023FedSpeed: Larger Local Interval, Less Communication Round, and Higher Generalization Accuracycited by 49
- 2023Dynamic Regularized Sharpness Aware Minimization in Federated Learning: Approaching Global Consistency and Smooth Landscapecited by 46
- 2024Global and Local Prompts Cooperation via Optimal Transport for Federated Learningcited by 45
- 2022pFL-Bench: A Comprehensive Benchmark for Personalized Federated Learningcited by 44
- 2022A Survey on Heterogeneous Federated Learningcited by 42
- 2023Recent Advances on Federated Learning: A Systematic Surveycited by 40
- 2022Test-Time Robust Personalization for Federated Learningcited by 39
- 2023Heterogeneous Federated Knowledge Graph Embedding Learning and Unlearningcited by 39
- 2021Sharp Bounds for Federated Averaging (Local SGD) and Continuous Perspectivecited by 38
- 2021Non-IID data and Continual Learning processes in Federated Learning: A long road aheadcited by 36
- 2022On Privacy and Personalization in Cross-Silo Federated Learningcited by 36
- 2022FedTP: Federated Learning by Transformer Personalizationcited by 36
- 2022FedPop: A Bayesian Approach for Personalised Federated Learningcited by 35
- 2021Personalized Federated Learning: A Unified Framework and Universal Optimization Techniquescited by 34
- 2022CD2-pFed: Cyclic Distillation-guided Channel Decoupling for Model Personalization in Federated Learningcited by 34
- 2024Towards Efficient Replay in Federated Incremental Learningcited by 33
- 2021QuPeD: Quantized Personalization via Distillation with Applications to Federated Learningcited by 32
- 2022Motley: Benchmarking Heterogeneity and Personalization in Federated Learningcited by 31
- 2022Achieving Personalized Federated Learning with Sparse Local Modelscited by 30
- 2021Federated f-Differential Privacycited by 29
- 2022Disentangled Federated Learning for Tackling Attributes Skew via Invariant Aggregation and Diversity Transferringcited by 28
- 2021A New Look and Convergence Rate of Federated Multi-Task Learning with Laplacian Regularizationcited by 27
- 2021Personalized Federated Learning by Structured and Unstructured Pruning under Data Heterogeneitycited by 27
- 2023Privacy and Fairness in Federated Learning: on the Perspective of Trade-offcited by 26
- 2023The Best of Both Worlds: Accurate Global and Personalized Models through Federated Learning with Data-Free Hyper-Knowledge Distillationcited by 25
- 2020Specialized federated learning using a mixture of expertscited by 23
- 2021Personalized Federated Learning with Contextualized Generalizationcited by 23
- 2021Fed-ensemble: Improving Generalization through Model Ensembling in Federated Learningcited by 23
- 2021The Internet of Federated Things (IoFT): A Vision for the Future and In-depth Survey of Data-driven Approaches for Federated Learningcited by 23
50 most cited of 208 All 208 (JSON)
- 2026Decentralized Optimization with Cross-Coupled Mixed Affine Constraints26 Sep 2026
- 2026FlatLand: Personalized Graph Federated Learning via Tailored Lorentz Space21 Aug 2026
- 2026Federated Attention Autoencoders with a Stochastic Aggregation Scheme for Anomaly Detection9 Aug 2026
- 2026FL-OA: A Byzantine-Robust Federated Learning Framework with Outsourced Auditing for Intelligent Devices2 Aug 2026
- 2026SP-CACW: Convergence-Aware Client Weighting for Selfish Personalized Learning28 Jun 2026
- 2026Prototype-Regularized Federated Learning for Cross-Domain Aspect Sentiment Triplet Extraction10 Apr 2026
- 2026HEART-PFL: Stable Personalized Federated Learning under Heterogeneity with Hierarchical Directional Alignment and Adversarial Knowledge Transfer25 Mar 2026
- 2026Federated Ensemble Learning with Progressive Model Personalization15 Feb 2026
- 2026Collaborative and Efficient Fine-tuning: Leveraging Task Similarity6 Feb 2026
- 2025Multi-Frequency Federated Learning for Human Activity Recognition Using Head-Worn Sensors2 Dec 2025
- 2025Communication-Constrained Private Decentralized Online Personalized Mean Estimation2 Nov 2025
- 2025Local Performance vs. Out-of-Distribution Generalization: An Empirical Analysis of Personalized Federated Learning in Heterogeneous Data Environments28 Oct 2025
38 more
- 2025Personalized Collaborative Learning with Affinity-Based Variance Reduction17 Oct 2025
- 2025Personalized federated prototype learning in mixed heterogeneous data scenarios4 Oct 2025
- 2025Dynamic Clustering for Personalized Federated Learning on Heterogeneous Edge Devices3 Aug 2025
- 2025DICE: Data Influence Cascade in Decentralized Learning9 Jul 2025
- 2025CLoVE: Personalized Federated Learning through Clustering of Loss Vector Embeddings27 Jun 2025
- 2025FedBKD: Distilled Federated Learning to Embrace Gerneralization and Personalization on Non-IID Data25 Jun 2025
- 2025Black-Box Privacy Attacks on Shared Representations in Multitask Learning19 Jun 2025
- 2025SPIRE: Conditional Personalization for Federated Diffusion Generative Models14 Jun 2025
- 2025Regret-Optimal Q-Learning with Low Cost for Single-Agent and Federated Reinforcement Learning5 Jun 2025
- 2025FedFACT: A Provable Framework for Controllable Group-Fairness Calibration in Federated Learning4 Jun 2025
- 2025Lazy But Effective: Collaborative Personalized Federated Learning with Heterogeneous Data5 May 2025
- 2025DP2FL: Dual Prompt Personalized Federated Learning in Foundation Models23 Apr 2025
- 2025Towards Balancing Preference and Performance through Adaptive Personalized Explainability21 Mar 2025
- 2025pFedFair: Towards Optimal Group Fairness-Accuracy Trade-off in Heterogeneous Federated Learning19 Mar 2025
- 2025dFLMoE: Decentralized Federated Learning via Mixture of Experts for Medical Data Analysis13 Mar 2025
- 2025Probabilistic Federated Prompt-Tuning with Non-IID and Imbalanced Data27 Feb 2025
- 2025Gap-Dependent Bounds for Federated Q-learning5 Feb 2025
- 2025Decoding FL Defenses: Systemization, Pitfalls, and Remedies3 Feb 2025
- 2025Tackling Feature and Sample Heterogeneity in Decentralized Multi-Task Learning: A Sheaf-Theoretic Approach3 Feb 2025
- 2025Multiplayer Federated Learning: Reaching Equilibrium with Less Communication14 Jan 2025
- 2025ML Mule: Mobile-Driven Context-Aware Collaborative Learning13 Jan 2025
- 2024Rehearsal-Free Continual Federated Learning with Synergistic Synaptic Intelligence18 Dec 2024
- 2024Personalized Federated Fine-Tuning for LLMs via Data-Driven Heterogeneous Model Architectures28 Nov 2024
- 2024Differentially-Private Collaborative Online Personalized Mean Estimation11 Nov 2024
- 2024Analysis of regularized federated learning3 Nov 2024
- 2024Efficient and Robust Regularized Federated Recommendation3 Nov 2024
- 2024Personalized Federated Learning with Adaptive Feature Aggregation and Knowledge Transfer19 Oct 2024
- 2024Personalizing Low-Rank Bayesian Neural Networks Via Federated Learning18 Oct 2024
- 2024Understanding the Statistical Accuracy-Communication Trade-off in Personalized Federated Learning with Minimax Guarantees11 Oct 2024
- 2024Aiding Global Convergence in Federated Learning via Local Perturbation and Mutual Similarity Information7 Oct 2024
- 2024Federated X-armed Bandit with Flexible Personalisation11 Sep 2024
- 2024pFedGPA: Diffusion-based Generative Parameter Aggregation for Personalized Federated Learning9 Sep 2024
- 2024Federated Sequence-to-Sequence Learning for Load Disaggregation from Unbalanced Low-Resolution Smart Meter Data15 Aug 2024
- 2024Heterogeneity: An Open Challenge for Federated On-board Machine Learning13 Aug 2024
- 2024Friends in Unexpected Places: Enhancing Local Fairness in Federated Learning through Clustering27 Jul 2024
- 2024HF-Fed: Hierarchical based customized Federated Learning Framework for X-Ray Imaging25 Jul 2024
- 2024The Diversity Bonus: Learning from Dissimilar Distributed Clients in Personalized Federated Learning22 Jul 2024
- 2024Combining Federated Learning and Control: A Survey12 Jul 2024
50 newest of 208 All 208 (JSON)
- 2021Exploiting Shared Representations for Personalized Federated Learningcited by 537
- 2021Towards Personalized Federated Learningcited by 462
- 2021Federated Learning on Non-IID Data: A Surveycited by 345
- 2021A Field Guide to Federated Optimizationcited by 312
- 2021Personalized Federated Learning using Hypernetworkscited by 210
- 2021Federated Multi-Task Learning under a Mixture of Distributionscited by 189
- 2021FedBABU: Towards Enhanced Representation for Federated Image Classificationcited by 180
- 2023Heterogeneous Federated Learning: State-of-the-art and Research Challengescited by 160
- 2021Federated Learning for Open Bankingcited by 138
- 2022ProxSkip: Yes! Local Gradient Steps Provably Lead to Communication Acceleration! Finally!cited by 134
- 2021Multi-Center Federated Learning: Clients Clustering for Better Personalizationcited by 112
- 2021Parameterized Knowledge Transfer for Personalized Federated Learningcited by 108
12 most cited of 200 All 200 (JSON)
- 2026Decentralized Optimization with Cross-Coupled Mixed Affine Constraints26 Sep 2026
- 2026FlatLand: Personalized Graph Federated Learning via Tailored Lorentz Space21 Aug 2026
- 2026Federated Attention Autoencoders with a Stochastic Aggregation Scheme for Anomaly Detection9 Aug 2026
- 2026FL-OA: A Byzantine-Robust Federated Learning Framework with Outsourced Auditing for Intelligent Devices2 Aug 2026
- 2026SP-CACW: Convergence-Aware Client Weighting for Selfish Personalized Learning28 Jun 2026
- 2026Prototype-Regularized Federated Learning for Cross-Domain Aspect Sentiment Triplet Extraction10 Apr 2026
- 2026HEART-PFL: Stable Personalized Federated Learning under Heterogeneity with Hierarchical Directional Alignment and Adversarial Knowledge Transfer25 Mar 2026
- 2026Federated Ensemble Learning with Progressive Model Personalization15 Feb 2026
- 2026Collaborative and Efficient Fine-tuning: Leveraging Task Similarity6 Feb 2026
- 2025Multi-Frequency Federated Learning for Human Activity Recognition Using Head-Worn Sensors2 Dec 2025
- 2025Communication-Constrained Private Decentralized Online Personalized Mean Estimation2 Nov 2025
- 2025Local Performance vs. Out-of-Distribution Generalization: An Empirical Analysis of Personalized Federated Learning in Heterogeneous Data Environments28 Oct 2025
12 newest of 200 All 200 (JSON)