CoCoA: A General Framework for Communication-Efficient Distributed Optimization
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Abstract (arXiv)
The scale of modern datasets necessitates the development of efficient distributed optimization methods for machine learning. We present a general-purpose framework for distributed computing environments, CoCoA, that has an efficient communication scheme and is applicable to a wide variety of problems in machine learning and signal processing. We extend the framework to cover general non-strongly-convex regularizers, including L1-regularized problems like lasso, sparse logistic regression, and elastic net regularization, and show how earlier work can be derived as a special case. We provide convergence guarantees for the class of convex regularized loss minimization objectives, leveraging a novel approach in handling non-strongly-convex regularizers and non-smooth loss functions. The resulting framework has markedly improved performance over state-of-the-art methods, as we illustrate with an extensive set of experiments on real distributed datasets.
Key facts. Cited by 69 papers in the map (data through 7 Oct 2026). First posted on arXiv 7 Nov 2016.
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Citing papers per year: 2021: 22; 2022: 15; 2023: 11; 2024: 13; 2025: 7; 2026: 1.
69 papers.
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- 2021A Field Guide to Federated Optimizationcited by 312
- 2021FedMix: Approximation of Mixup under Mean Augmented Federated Learningcited by 108
- 2022Federated Learning via Inexact ADMMcited by 44
- 2021Communication Efficiency in Federated Learning: Achievements and Challengescited by 40
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- 2021Towards Demystifying Serverless Machine Learning Trainingcited by 16
- 2021LocalNewton: Reducing Communication Bottleneck for Distributed Learningcited by 15
- 2021Distributed Methods with Compressed Communication for Solving Variational Inequalities, with Theoretical Guaranteescited by 15
38 more
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- 2023Federated Empirical Risk Minimization via Second-Order Methodcited by 9
- 2021Federated Gaussian Process: Convergence, Automatic Personalization and Multi-fidelity Modelingcited by 8
- 2022FedGiA: An Efficient Hybrid Algorithm for Federated Learningcited by 8
- 2022Compression and Data Similarity: Combination of Two Techniques for Communication-Efficient Solving of Distributed Variational Inequalitiescited by 8
- 2021Clustered Federated Learning via Generalized Total Variation Minimizationcited by 7
- 2025Efficient Distributed Optimization under Heavy-Tailed Noisecited by 7
- 2021The Gradient Convergence Bound of Federated Multi-Agent Reinforcement Learning with Efficient Communicationcited by 5
- 2021Linear Regression with Distributed Learning: A Generalization Error Perspectivecited by 4
- 2021Local and Global Uniform Convexity Conditionscited by 4
- 2021RingFed: Reducing Communication Costs in Federated Learning on Non-IID Datacited by 4
- 2022Communication Efficient Federated Learning via Ordered ADMM in a Fully Decentralized Settingcited by 4
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- 2022A Primal-Dual Algorithm for Hybrid Federated Learningcited by 4
- 2023RHFedMTL: Resource-Aware Hierarchical Federated Multi-Task Learningcited by 4
- 2024Post-Fair Federated Learning: Achieving Group and Community Fairness in Federated Learning via Post-processingcited by 4
- 2023Memory-Constrained Algorithms for Convex Optimization via Recursive Cutting-Planescited by 3
- 2024Second-order Information Promotes Mini-Batch Robustness in Variance-Reduced Gradientscited by 3
- 2024Communication-Efficient Federated Group Distributionally Robust Optimizationcited by 3
- 2021Distributed Sparse Feature Selection in Communication-Restricted Networkscited by 2
- 2022Contextual Model Aggregation for Fast and Robust Federated Learning in Edge Computingcited by 2
- 2022FLECS-CGD: A Federated Learning Second-Order Framework via Compression and Sketching with Compressed Gradient Differencescited by 2
- 2023A Multi-Token Coordinate Descent Method for Semi-Decentralized Vertical Federated Learningcited by 2
- 2022Reducing Training Time in Cross-Silo Federated Learning using Multigraph Topologycited by 1
- 2022Communication-Efficient {Federated} Learning Using Censored Heavy Ball Descentcited by 1
- 2022Continual Learning with Distributed Optimization: Does CoCoA Forget?cited by 1
- 2023Decentralized Entropic Optimal Transport for Distributed Distribution Comparisoncited by 1
- 2023Distributed Semi-Supervised Sparse Statistical Inferencecited by 1
- 2024Optimal Data Splitting in Distributed Optimization for Machine Learningcited by 1
- 2024Analysis of Total Variation Minimization for Clustered Federated Learningcited by 1
- 2024Gradient Descent is Pareto-Optimal in the Oracle Complexity and Memory Tradeoff for Feasibility Problemscited by 1
- 2024Communication-Efficient Distributed Deep Learning via Federated Dynamic Averagingcited by 1
- 2024Local Methods with Adaptivity via Scalingcited by 1
- 2024Optimizing the Optimal Weighted Average: Efficient Distributed Sparse Classificationcited by 1
50 most cited of 69 All 69 (JSON)
- 2026Exploring New Frontiers in Vertical Federated Learning: the Role of Saddle Point Reformulation17 Feb 2026
- 2025Certifying the Right to Be Forgotten: Primal-Dual Optimization for Sample and Label Unlearning in Vertical Federated Learning29 Dec 2025
- 2025Federated k-Means over Networks10 Oct 2025
- 2025Decentralized Optimization with Topology-Independent Communication17 Sep 2025
- 2025FedAPM: Federated Learning via ADMM with Partial Model Personalization5 Jun 2025
- 2025Efficient Distributed Optimization under Heavy-Tailed Noise6 Feb 2025
- 2025On the Relationship Between CoCoA and ADMM for Distributed Empirical Risk Minimization1 Feb 2025
- 2025Communication-Efficient, 2D Parallel Stochastic Gradient Descent for Distributed-Memory Optimization13 Jan 2025
- 2024GP-FL: Model-Based Hessian Estimation for Second-Order Over-the-Air Federated Learning5 Dec 2024
- 2024Communication-Efficient Federated Group Distributionally Robust Optimization8 Oct 2024
- 2024On ADMM in Heterogeneous Federated Learning: Personalization, Robustness, and Fairness23 Jul 2024
- 2024Optimizing the Optimal Weighted Average: Efficient Distributed Sparse Classification3 Jun 2024
38 more
- 2024Local Methods with Adaptivity via Scaling2 Jun 2024
- 2024Communication-Efficient Distributed Deep Learning via Federated Dynamic Averaging31 May 2024
- 2024Post-Fair Federated Learning: Achieving Group and Community Fairness in Federated Learning via Post-processing28 May 2024
- 2024Flattened one-bit stochastic gradient descent: compressed distributed optimization with controlled variance17 May 2024
- 2024Second-order Information Promotes Mini-Batch Robustness in Variance-Reduced Gradients23 Apr 2024
- 2024Gradient Descent is Pareto-Optimal in the Oracle Complexity and Memory Tradeoff for Feasibility Problems10 Apr 2024
- 2024Analysis of Total Variation Minimization for Clustered Federated Learning10 Mar 2024
- 2024Training Neural Networks from Scratch with Parallel Low-Rank Adapters26 Feb 2024
- 2024Optimal Data Splitting in Distributed Optimization for Machine Learning15 Jan 2024
- 2023Distributed Continual Learning with CoCoA in High-dimensional Linear Regression4 Dec 2023
- 2023Resource-constrained knowledge diffusion processes inspired by human peer learning1 Dec 2023
- 2023Federated Learning for Sparse Principal Component Analysis15 Nov 2023
- 2023Personalized Federated Learning via ADMM with Moreau Envelope12 Nov 2023
- 2023A Multi-Token Coordinate Descent Method for Semi-Decentralized Vertical Federated Learning18 Sep 2023
- 2023Distributed Semi-Supervised Sparse Statistical Inference17 Jun 2023
- 2023Memory-Constrained Algorithms for Convex Optimization via Recursive Cutting-Planes16 Jun 2023
- 2023FedDec: Peer-to-peer Aided Federated Learning11 Jun 2023
- 2023RHFedMTL: Resource-Aware Hierarchical Federated Multi-Task Learning1 Jun 2023
- 2023Federated Empirical Risk Minimization via Second-Order Method27 May 2023
- 2023Decentralized Entropic Optimal Transport for Distributed Distribution Comparison28 Jan 2023
- 2022Continual Learning with Distributed Optimization: Does CoCoA Forget?30 Nov 2022
- 2022FeDXL: Provable Federated Learning for Deep X-Risk Optimization26 Oct 2022
- 2022FLECS-CGD: A Federated Learning Second-Order Framework via Compression and Sketching with Compressed Gradient Differences18 Oct 2022
- 2022A Primal-Dual Algorithm for Hybrid Federated Learning14 Oct 2022
- 2022Communication-Efficient {Federated} Learning Using Censored Heavy Ball Descent24 Sep 2022
- 2022Recovery Guarantees for Distributed-OMP15 Sep 2022
- 2022Cerberus: Exploring Federated Prediction of Security Events7 Sep 2022
- 2022Reducing Training Time in Cross-Silo Federated Learning using Multigraph Topology20 Jul 2022
- 2022Compression and Data Similarity: Combination of Two Techniques for Communication-Efficient Solving of Distributed Variational Inequalities19 Jun 2022
- 2022FedGiA: An Efficient Hybrid Algorithm for Federated Learning3 May 2022
- 2022Federated Learning via Inexact ADMM22 Apr 2022
- 2022FedADMM: A Robust Federated Deep Learning Framework with Adaptivity to System Heterogeneity7 Apr 2022
- 2022Over-the-Air Federated Learning via Second-Order Optimization29 Mar 2022
- 2022Contextual Model Aggregation for Fast and Robust Federated Learning in Edge Computing23 Mar 2022
- 2022Communication Efficient Federated Learning via Ordered ADMM in a Fully Decentralized Setting5 Feb 2022
- 2021Federated Learning with Superquantile Aggregation for Heterogeneous Data17 Dec 2021
- 2021Learning Linear Models Using Distributed Iterative Hessian Sketching8 Dec 2021
- 2021Federated Gaussian Process: Convergence, Automatic Personalization and Multi-fidelity Modeling28 Nov 2021
50 newest of 69 All 69 (JSON)
- 2021A Field Guide to Federated Optimizationcited by 312
- 2021FedMix: Approximation of Mixup under Mean Augmented Federated Learningcited by 108
- 2022Federated Learning via Inexact ADMMcited by 44
- 2021Communication Efficiency in Federated Learning: Achievements and Challengescited by 40
- 2021Game of Gradients: Mitigating Irrelevant Clients in Federated Learningcited by 35
- 2021SpreadGNN: Serverless Multi-task Federated Learning for Graph Neural Networkscited by 30
- 2022FedADMM: A Robust Federated Deep Learning Framework with Adaptivity to System Heterogeneitycited by 25
- 2021Applications of Federated Learning in Smart Cities: Recent Advances, Taxonomy, and Open Challengescited by 17
- 2024Training Neural Networks from Scratch with Parallel Low-Rank Adapterscited by 17
- 2021Towards Demystifying Serverless Machine Learning Trainingcited by 16
- 2021LocalNewton: Reducing Communication Bottleneck for Distributed Learningcited by 15
- 2021Distributed Methods with Compressed Communication for Solving Variational Inequalities, with Theoretical Guaranteescited by 15
12 most cited of 68 All 68 (JSON)
- 2026Exploring New Frontiers in Vertical Federated Learning: the Role of Saddle Point Reformulation17 Feb 2026
- 2025Federated k-Means over Networks10 Oct 2025
- 2025Decentralized Optimization with Topology-Independent Communication17 Sep 2025
- 2025FedAPM: Federated Learning via ADMM with Partial Model Personalization5 Jun 2025
- 2025Efficient Distributed Optimization under Heavy-Tailed Noise6 Feb 2025
- 2025On the Relationship Between CoCoA and ADMM for Distributed Empirical Risk Minimization1 Feb 2025
- 2025Communication-Efficient, 2D Parallel Stochastic Gradient Descent for Distributed-Memory Optimization13 Jan 2025
- 2024GP-FL: Model-Based Hessian Estimation for Second-Order Over-the-Air Federated Learning5 Dec 2024
- 2024Communication-Efficient Federated Group Distributionally Robust Optimization8 Oct 2024
- 2024On ADMM in Heterogeneous Federated Learning: Personalization, Robustness, and Fairness23 Jul 2024
- 2024Optimizing the Optimal Weighted Average: Efficient Distributed Sparse Classification3 Jun 2024
- 2024Local Methods with Adaptivity via Scaling2 Jun 2024
12 newest of 68 All 68 (JSON)