Error Compensated Quantized SGD and its Applications to Large-scale Distributed Optimization
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Abstract (arXiv)
Large-scale distributed optimization is of great importance in various applications. For data-parallel based distributed learning, the inter-node gradient communication often becomes the performance bottleneck. In this paper, we propose the error compensated quantized stochastic gradient descent algorithm to improve the training efficiency. Local gradients are quantized to reduce the communication overhead, and accumulated quantization error is utilized to speed up the convergence. Furthermore, we present theoretical analysis on the convergence behaviour, and demonstrate its advantage over competitors. Extensive experiments indicate that our algorithm can compress gradients by a factor of up to two magnitudes without performance degradation.
Key facts. Cited by 76 papers in the map (data through 14 Oct 2026). First posted on arXiv 21 Jun 2018.
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Citing papers per year: 2021: 26; 2022: 14; 2023: 14; 2024: 13; 2025: 6; 2026: 3.
76 papers.
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38 more
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- 2025Subspace Networks: Scaling Decentralized Training with Communication-Efficient Model Parallelismcited by 12
- 2021Federated Learning over Wireless Networks: A Band-limited Coordinated Descent Approachcited by 11
- 2023Lower Bounds and Accelerated Algorithms in Distributed Stochastic Optimization with Communication Compressioncited by 11
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- 2021The Gradient Convergence Bound of Federated Multi-Agent Reinforcement Learning with Efficient Communicationcited by 5
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50 most cited of 76 All 76 (JSON)
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- 2025Machine Learning and CPU (Central Processing Unit) Scheduling Co-Optimization over a Network of Computing Centers29 Oct 2025
- 2025Tight analyses of first-order methods with error feedback5 Jun 2025
- 2025Subspace Networks: Scaling Decentralized Training with Communication-Efficient Model Parallelism2 Jun 2025
- 2025It Takes a Good Model to Train a Good Model: Generalized Gaussian Priors for Optimized LLMs31 May 2025
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38 more
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- 2024FedAQ: Communication-Efficient Federated Edge Learning via Joint Uplink and Downlink Adaptive Quantization26 Jun 2024
- 2024Distributed Training of Large Graph Neural Networks with Variable Communication Rates25 Jun 2024
- 2024Distributed Stochastic Gradient Descent with Staleness: A Stochastic Delay Differential Equation Based Framework17 Jun 2024
- 2024Minimal Communication-Cost Statistical Learning12 Jun 2024
- 2024Automated Federated Pipeline for Parameter-Efficient Fine-Tuning of Large Language Models9 Apr 2024
- 2024Communication-Efficient Large-Scale Distributed Deep Learning: A Comprehensive Survey9 Apr 2024
- 2024On the Convergence of Federated Learning Algorithms without Data Similarity29 Feb 2024
- 2024Communication Efficient ConFederated Learning: An Event-Triggered SAGA Approach28 Feb 2024
- 2024Communication-Efficient Distributed Learning with Local Immediate Error Compensation19 Feb 2024
- 2023RS-DGC: Exploring Neighborhood Statistics for Dynamic Gradient Compression on Remote Sensing Image Interpretation29 Dec 2023
- 2023Contractive error feedback for gradient compression13 Dec 2023
- 2023Data-Aware Gradient Compression for FL in Communication-Constrained Mobile Computing13 Nov 2023
- 2023CORE: Common Random Reconstruction for Distributed Optimization with Provable Low Communication Complexity23 Sep 2023
- 2023FwdLLM: Efficient FedLLM using Forward Gradient26 Aug 2023
- 2023Stochastic Controlled Averaging for Federated Learning with Communication Compression16 Aug 2023
- 2023Adaptive Message Quantization and Parallelization for Distributed Full-graph GNN Training2 Jun 2023
- 2023Clip21: Error Feedback for Gradient Clipping30 May 2023
- 2023Sharpened Lazy Incremental Quasi-Newton Method26 May 2023
- 2023Unbiased Compression Saves Communication in Distributed Optimization: When and How Much?25 May 2023
- 2023Lower Bounds and Accelerated Algorithms in Distributed Stochastic Optimization with Communication Compression12 May 2023
- 2023Compressed Regression over Adaptive Networks7 Apr 2023
- 2023FedREP: A Byzantine-Robust, Communication-Efficient and Privacy-Preserving Framework for Federated Learning9 Mar 2023
- 2023Magnitude Matters: Fixing SIGNSGD Through Magnitude-Aware Sparsification in the Presence of Data Heterogeneity19 Feb 2023
- 2022Federated Few-Shot Learning for Mobile NLP12 Dec 2022
- 2022GlueFL: Reconciling Client Sampling and Model Masking for Bandwidth Efficient Federated Learning3 Dec 2022
- 2022Towards Practical Few-shot Federated NLP1 Dec 2022
- 2022Analysis of Error Feedback in Federated Non-Convex Optimization with Biased Compression25 Nov 2022
- 2022Adaptive Top-K in SGD for Communication-Efficient Distributed Learning24 Oct 2022
- 2022Personalized Federated Learning with Communication Compression12 Sep 2022
- 2022Quantized Adaptive Subgradient Algorithms and Their Applications11 Aug 2022
- 2022Lower Bounds and Nearly Optimal Algorithms in Distributed Learning with Communication Compression8 Jun 2022
- 2022ByteComp: Revisiting Gradient Compression in Distributed Training28 May 2022
- 2022FedAdapter: Efficient Federated Learning for Modern NLP20 May 2022
- 2022On Distributed Adaptive Optimization with Gradient Compression11 May 2022
- 2022Federated Random Reshuffling with Compression and Variance Reduction8 May 2022
- 2022Secure Distributed/Federated Learning: Prediction-Privacy Trade-Off for Multi-Agent System24 Apr 2022
- 2022Adaptive Differential Filters for Fast and Communication-Efficient Federated Learning9 Apr 2022
50 newest of 76 All 76 (JSON)
- 2021A Field Guide to Federated Optimizationcited by 315
- 2023Stochastic Controlled Averaging for Federated Learning with Communication Compressioncited by 101
- 2021Pufferfish: Communication-efficient Models At No Extra Costcited by 61
- 2021Federated Learning over Wireless Device-to-Device Networks: Algorithms and Convergence Analysiscited by 51
- 2024Automated Federated Pipeline for Parameter-Efficient Fine-Tuning of Large Language Modelscited by 49
- 2022Lower Bounds and Nearly Optimal Algorithms in Distributed Learning with Communication Compressioncited by 33
- 2021An Efficient Statistical-based Gradient Compression Technique for Distributed Training Systemscited by 32
- 2021Permutation Compressors for Provably Faster Distributed Nonconvex Optimizationcited by 32
- 2021Time-Correlated Sparsification for Communication-Efficient Federated Learningcited by 26
- 2021On the Utility of Gradient Compression in Distributed Training Systemscited by 26
- 2023FwdLLM: Efficient FedLLM using Forward Gradientcited by 26
- 2022FedAdapter: Efficient Federated Learning for Modern NLPcited by 25
12 most cited of 76 All 76 (JSON)
- 2026Mixtures of Subspaces for Bandwidth Efficient Context Parallel Training15 Jun 2026
- 2026Learned Subspace Compression for Communication-Efficient Pipeline Parallelism3 Jun 2026
- 2026A Tight Theory of Error Feedback Algorithms in Distributed Optimization29 May 2026
- 2025Machine Learning and CPU (Central Processing Unit) Scheduling Co-Optimization over a Network of Computing Centers29 Oct 2025
- 2025Tight analyses of first-order methods with error feedback5 Jun 2025
- 2025Subspace Networks: Scaling Decentralized Training with Communication-Efficient Model Parallelism2 Jun 2025
- 2025It Takes a Good Model to Train a Good Model: Generalized Gaussian Priors for Optimized LLMs31 May 2025
- 2025γ-FedHT: Stepsize-Aware Hard-Threshold Gradient Compression in Federated Learning18 May 2025
- 2025Smoothed Normalization for Efficient Distributed Private Optimization19 Feb 2025
- 2024MARINA-P: Superior Performance in Non-smooth Federated Optimization with Adaptive Stepsizes22 Dec 2024
- 2024Sketched Adaptive Federated Deep Learning: A Sharp Convergence Analysis11 Nov 2024
- 2024Communication-Efficient Federated Learning over Wireless Channels via Gradient Sketching30 Oct 2024
12 newest of 76 All 76 (JSON)