LoCoDL: Communication-Efficient Distributed Learning with Local Training and Compression
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Abstract (arXiv)
In Distributed optimization and Learning, and even more in the modern framework of federated learning, communication, which is slow and costly, is critical. We introduce LoCoDL, a communication-efficient algorithm that leverages the two popular and effective techniques of Local training, which reduces the communication frequency, and Compression, in which short bitstreams are sent instead of full-dimensional vectors of floats. LoCoDL works with a large class of unbiased compressors that includes widely-used sparsification and quantization methods. LoCoDL provably benefits from local training and compression and enjoys a doubly-accelerated communication complexity, with respect to the condition number of the functions and the model dimension, in the general heterogenous regime with strongly convex functions. This is confirmed in practice, with LoCoDL outperforming existing algorithms.
Key facts. Cited by 11 papers in the map (data through 7 Oct 2026). Builds on 44 of its 63 references that are in the map. First posted on arXiv 7 Mar 2024.
Builds on
44 of 63 references.
References · 44
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32 more
- 2022ProxSkip: Yes! Local Gradient Steps Provably Lead to Communication Acceleration! Finally!cited by 134
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Citing papers per year: 2024: 2; 2025: 3; 2026: 6.
11 papers.
- 2025Unbiased and Sign Compression in Distributed Learning: Comparing Noise Resilience via SDEscited by 4
- 2024Accelerated Methods with Compressed Communications for Distributed Optimization Problems under Data Similaritycited by 2
- 2024Convergence of Decentralized Stochastic Subgradient-based Methods for Nonsmooth Nonconvex functionscited by 1
- 2025Decentralized Optimization with Topology-Independent Communicationcited by 1
- 2026BiCoLoR: Communication-Efficient Optimization with Bidirectional Compression and Local Trainingcited by 1
- 2026Gradient Compression May Hurt Generalization: A Remedy by Synthetic Data Guided Sharpness Aware Minimizationcited by 1
- 2026FedSLoP: Memory-Efficient Federated Learning with Low-Rank Gradient Projectioncited by 1
- 2025Provable Reduction in Communication Rounds for Non-Smooth Convex Federated Learningcited by 0
- 2026SA-PEF: Step-Ahead Partial Error Feedback for Efficient Federated Learningcited by 0
- 2026LoDAdaC: a unified local training-based decentralized framework with adaptive gradients and compressed communicationcited by 0
- 2026LOSCAR-SGD: Local SGD with Communication-Computation Overlap and Delay-Corrected Sparse Model Averagingcited by 0
- 2026LOSCAR-SGD: Local SGD with Communication-Computation Overlap and Delay-Corrected Sparse Model Averaging20 May 2026
- 2026FedSLoP: Memory-Efficient Federated Learning with Low-Rank Gradient Projection27 Apr 2026
- 2026LoDAdaC: a unified local training-based decentralized framework with adaptive gradients and compressed communication11 Apr 2026
- 2026Gradient Compression May Hurt Generalization: A Remedy by Synthetic Data Guided Sharpness Aware Minimization12 Feb 2026
- 2026SA-PEF: Step-Ahead Partial Error Feedback for Efficient Federated Learning28 Jan 2026
- 2026BiCoLoR: Communication-Efficient Optimization with Bidirectional Compression and Local Training18 Jan 2026
- 2025Decentralized Optimization with Topology-Independent Communication17 Sep 2025
- 2025Provable Reduction in Communication Rounds for Non-Smooth Convex Federated Learning27 Mar 2025
- 2025Unbiased and Sign Compression in Distributed Learning: Comparing Noise Resilience via SDEs24 Feb 2025
- 2024Accelerated Methods with Compressed Communications for Distributed Optimization Problems under Data Similarity21 Dec 2024
- 2024Convergence of Decentralized Stochastic Subgradient-based Methods for Nonsmooth Nonconvex functions18 Mar 2024