Compressed-VFL: Communication-Efficient Learning with Vertically Partitioned Data
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Abstract (arXiv)
We propose Compressed Vertical Federated Learning (C-VFL) for communication-efficient training on vertically partitioned data. In C-VFL, a server and multiple parties collaboratively train a model on their respective features utilizing several local iterations and sharing compressed intermediate results periodically. Our work provides the first theoretical analysis of the effect message compression has on distributed training over vertically partitioned data. We prove convergence of non-convex objectives at a rate of O(frac1√T) when the compression error is bounded over the course of training. We provide specific requirements for convergence with common compression techniques, such as quantization and top-k sparsification. Finally, we experimentally show compression can reduce communication by over 90% without a significant decrease in accuracy over VFL without compression.
Key facts. Cited by 36 papers in the map (data through 14 Oct 2026). Builds on 33 of its 60 references that are in the map. First posted on arXiv 16 Jun 2022.
Builds on
33 of 60 references.
References · 33
- 2016Communication-Efficient Learning of Deep Networks from Decentralized Datacited by 7,669
- 2019Advances and Open Problems in Federated Learningcited by 3,046
- 2018Federated Optimization in Heterogeneous Networkscited by 2,987
- 2016Optimization Methods for Large-Scale Machine Learningcited by 1,150
- 2019Towards Federated Learning at Scale: System Designcited by 832
- 2020Inverting Gradients -- How easy is it to break privacy in federated learning?cited by 712
- 2018signSGD: Compressed Optimisation for Non-Convex Problemscited by 571
- 2017Deep Gradient Compression: Reducing the Communication Bandwidth for Distributed Trainingcited by 478
- 2018Adaptive Federated Learning in Resource Constrained Edge Computing Systemscited by 409
- 2019Federated Learning in Mobile Edge Networks: A Comprehensive Surveycited by 408
- 2014Understanding Deep Image Representations by Inverting Themcited by 403
- 2018Sparsified SGD with Memorycited by 376
21 more
- 2019Error Feedback Fixes SignSGD and other Gradient Compression Schemescited by 310
- 2018Distributed learning of deep neural network over multiple agentscited by 279
- 2017TernGrad: Ternary Gradients to Reduce Communication in Distributed Deep Learningcited by 256
- 2018Don't Use Large Mini-Batches, Use Local SGDcited by 202
- 2019Client-Edge-Cloud Hierarchical Federated Learningcited by 202
- 2016Practical Secure Aggregation for Federated Learning on User-Held Datacited by 178
- 2017Private federated learning on vertically partitioned data via entity resolution and additively homomorphic encryptioncited by 176
- 2019SecureBoost: A Lossless Federated Learning Frameworkcited by 176
- 2021Improving Multimodal Fusion with Hierarchical Mutual Information Maximization for Multimodal Sentiment Analysiscited by 131
- 2020UVeQFed: Universal Vector Quantization for Federated Learningcited by 107
- 2018SGD and Hogwild! Convergence Without the Bounded Gradients Assumptioncited by 95
- 2020VAFL: a Method of Vertical Asynchronous Federated Learningcited by 87
- 2020Multi-Participant Multi-Class Vertical Federated Learningcited by 47
- 2020SplitNN-driven Vertical Partitioningcited by 42
- 2021PyVertical: A Vertical Federated Learning Framework for Multi-headed SplitNNcited by 35
- 2019A Communication Efficient Collaborative Learning Framework for Distributed Featurescited by 21
- 2020Hybrid Federated Learning: Algorithms and Implementationcited by 14
- 2015SparkNet: Training Deep Networks in Sparkcited by 13
- 2021Multi-Tier Federated Learning for Vertically Partitioned Datacited by 7
- 2021Towards Secure and Practical Machine Learning via Secret Sharing and Random Permutationcited by 5
- 2016Secure Multi-Party Computation Based Privacy Preserving Extreme Learning Machine Algorithm Over Vertically Distributed Datacited by 2
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Citing papers per year: 2022: 3; 2023: 11; 2024: 10; 2025: 7; 2026: 5.
36 papers.
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- 2022Vertical Federated Learning: Concepts, Advances and Challengescited by 108
- 2023Reducing Communication for Split Learning by Randomized Top-k Sparsificationcited by 22
- 2022Vertical Federated Learning: A Structured Literature Reviewcited by 17
- 2023LESS-VFL: Communication-Efficient Feature Selection for Vertical Federated Learningcited by 14
- 2024Vertical Federated Learning for Effectiveness, Security, Applicability: A Surveycited by 14
- 2022Improving Privacy-Preserving Vertical Federated Learning by Efficient Communication with ADMMcited by 10
- 2023VFLAIR: A Research Library and Benchmark for Vertical Federated Learningcited by 8
- 2024Federated Transformer: Multi-Party Vertical Federated Learning on Practical Fuzzily Linked Datacited by 8
- 2023VertiBench: Advancing Feature Distribution Diversity in Vertical Federated Learning Benchmarkscited by 6
- 2023Online Vertical Federated Learning for Cooperative Spectrum Sensingcited by 6
- 2024Communication-Efficient Hybrid Federated Learning for E-health with Horizontal and Vertical Data Partitioningcited by 6
- 2023Federated Deep Multi-View Clustering with Global Self-Supervisioncited by 5
24 more
- 2025Integrated Sensing, Communication, and Computation for Over-the-Air Federated Edge Learningcited by 5
- 2025Vertical Federated Learning in Practice: The Good, the Bad, and the Uglycited by 4
- 2023A Multi-Token Coordinate Descent Method for Semi-Decentralized Vertical Federated Learningcited by 3
- 2024Communication-efficient Vertical Federated Learning via Compressed Error Feedbackcited by 3
- 2024A Differentially Private Blockchain-Based Approach for Vertical Federated Learningcited by 3
- 2023Secure and Fast Asynchronous Vertical Federated Learning via Cascaded Hybrid Optimizationcited by 2
- 2023Defending Label Inference Attacks in Split Learning under Regression Settingcited by 2
- 2023Robust Collaborative Inference with Vertically Split Data Over Dynamic Device Environmentscited by 2
- 2024Mask-Encoded Sparsification: Mitigating Biased Gradients in Communication-Efficient Split Learningcited by 2
- 2024Towards Active Participant Centric Vertical Federated Learning: Some Representations May Be All You Needcited by 2
- 2025FlexP-SFT: A Flexible Aggregation-Free Framework for On-Device Personalized Split Federated Fine-Tuning of LLMscited by 2
- 2024Hybrid FedGraph: An efficient hybrid federated learning algorithm using graph convolutional neural networkcited by 1
- 2024Vertical Federated Learning Hybrid Local Pre-trainingcited by 1
- 2026AutoEncoder-Compressed Parallel Split Learning for Pre-trained Model Fine-Tuningcited by 1
- 2023EASTER: Embedding Aggregation-based Heterogeneous Models Training in Vertical Federated Learningcited by 0
- 2024Computation and Communication Efficient Lightweighting Vertical Federated Learning for Smart Building IoTcited by 0
- 2025Multimodal Federated Learning: A Survey through the Lens of Different FL Paradigmscited by 0
- 2025Event-Driven Online Vertical Federated Learningcited by 0
- 2025X-VFL: A New Vertical Federated Learning Framework with Cross Completion and Decision Subspace Alignmentcited by 0
- 2025PubSub-VFL: Towards Efficient Two-Party Split Learning in Heterogeneous Environments via Publisher/Subscriber Architecturecited by 0
- 2026On the Convergence of Stochastic Gradient Descent with Perturbed Forward-Backward Passescited by 0
- 2026Learning Unknown Interdependencies for Decentralized Root Cause Analysis in Nonlinear Dynamical Systemscited by 0
- 2026Optimizing Server Placement for Vertical Federated Learning in Dynamic Edge/Fog Networkscited by 0
- 2026CausShield: Sample Reconstruction-Resilient Vertical FL via Causal Representation Learningcited by 0
- 2026AutoEncoder-Compressed Parallel Split Learning for Pre-trained Model Fine-Tuning20 Jul 2026
- 2026CausShield: Sample Reconstruction-Resilient Vertical FL via Causal Representation Learning6 Jun 2026
- 2026Optimizing Server Placement for Vertical Federated Learning in Dynamic Edge/Fog Networks10 May 2026
- 2026Learning Unknown Interdependencies for Decentralized Root Cause Analysis in Nonlinear Dynamical Systems25 Feb 2026
- 2026On the Convergence of Stochastic Gradient Descent with Perturbed Forward-Backward Passes24 Feb 2026
- 2025PubSub-VFL: Towards Efficient Two-Party Split Learning in Heterogeneous Environments via Publisher/Subscriber Architecture14 Oct 2025
- 2025Integrated Sensing, Communication, and Computation for Over-the-Air Federated Edge Learning21 Aug 2025
- 2025FlexP-SFT: A Flexible Aggregation-Free Framework for On-Device Personalized Split Federated Fine-Tuning of LLMs14 Aug 2025
- 2025X-VFL: A New Vertical Federated Learning Framework with Cross Completion and Decision Subspace Alignment7 Aug 2025
- 2025Event-Driven Online Vertical Federated Learning17 Jun 2025
- 2025Multimodal Federated Learning: A Survey through the Lens of Different FL Paradigms27 May 2025
- 2025Vertical Federated Learning in Practice: The Good, the Bad, and the Ugly12 Feb 2025
24 more
- 2024Federated Transformer: Multi-Party Vertical Federated Learning on Practical Fuzzily Linked Data23 Oct 2024
- 2024Towards Active Participant Centric Vertical Federated Learning: Some Representations May Be All You Need23 Oct 2024
- 2024Mask-Encoded Sparsification: Mitigating Biased Gradients in Communication-Efficient Split Learning25 Aug 2024
- 2024A Differentially Private Blockchain-Based Approach for Vertical Federated Learning9 Jul 2024
- 2024Communication-efficient Vertical Federated Learning via Compressed Error Feedback20 Jun 2024
- 2024Vertical Federated Learning for Effectiveness, Security, Applicability: A Survey25 May 2024
- 2024Vertical Federated Learning Hybrid Local Pre-training20 May 2024
- 2024Communication-Efficient Hybrid Federated Learning for E-health with Horizontal and Vertical Data Partitioning15 Apr 2024
- 2024Hybrid FedGraph: An efficient hybrid federated learning algorithm using graph convolutional neural network15 Apr 2024
- 2024Computation and Communication Efficient Lightweighting Vertical Federated Learning for Smart Building IoT30 Mar 2024
- 2023Robust Collaborative Inference with Vertically Split Data Over Dynamic Device Environments27 Dec 2023
- 2023Online Vertical Federated Learning for Cooperative Spectrum Sensing18 Dec 2023
- 2023EASTER: Embedding Aggregation-based Heterogeneous Models Training in Vertical Federated Learning20 Oct 2023
- 2023VFLAIR: A Research Library and Benchmark for Vertical Federated Learning15 Oct 2023
- 2023Federated Deep Multi-View Clustering with Global Self-Supervision24 Sep 2023
- 2023A Multi-Token Coordinate Descent Method for Semi-Decentralized Vertical Federated Learning18 Sep 2023
- 2023Defending Label Inference Attacks in Split Learning under Regression Setting18 Aug 2023
- 2023VertiBench: Advancing Feature Distribution Diversity in Vertical Federated Learning Benchmarks5 Jul 2023
- 2023Secure and Fast Asynchronous Vertical Federated Learning via Cascaded Hybrid Optimization28 Jun 2023
- 2023Reducing Communication for Split Learning by Randomized Top-k Sparsification29 May 2023
- 2023LESS-VFL: Communication-Efficient Feature Selection for Vertical Federated Learning3 May 2023
- 2022Vertical Federated Learning: A Structured Literature Review1 Dec 2022
- 2022Vertical Federated Learning: Concepts, Advances and Challenges23 Nov 2022
- 2022Improving Privacy-Preserving Vertical Federated Learning by Efficient Communication with ADMM20 Jul 2022
- 2022Vertical Federated Learning: Concepts, Advances and Challengescited by 108
- 2023Reducing Communication for Split Learning by Randomized Top-k Sparsificationcited by 22
- 2022Vertical Federated Learning: A Structured Literature Reviewcited by 17
- 2023LESS-VFL: Communication-Efficient Feature Selection for Vertical Federated Learningcited by 14
- 2024Vertical Federated Learning for Effectiveness, Security, Applicability: A Surveycited by 14
- 2022Improving Privacy-Preserving Vertical Federated Learning by Efficient Communication with ADMMcited by 10
- 2023VFLAIR: A Research Library and Benchmark for Vertical Federated Learningcited by 8
- 2024Federated Transformer: Multi-Party Vertical Federated Learning on Practical Fuzzily Linked Datacited by 8
- 2023VertiBench: Advancing Feature Distribution Diversity in Vertical Federated Learning Benchmarkscited by 6
- 2023Online Vertical Federated Learning for Cooperative Spectrum Sensingcited by 6
- 2024Communication-Efficient Hybrid Federated Learning for E-health with Horizontal and Vertical Data Partitioningcited by 6
- 2023Federated Deep Multi-View Clustering with Global Self-Supervisioncited by 5
12 most cited of 36 All 36 (JSON)
- 2026AutoEncoder-Compressed Parallel Split Learning for Pre-trained Model Fine-Tuning20 Jul 2026
- 2026CausShield: Sample Reconstruction-Resilient Vertical FL via Causal Representation Learning6 Jun 2026
- 2026Optimizing Server Placement for Vertical Federated Learning in Dynamic Edge/Fog Networks10 May 2026
- 2026Learning Unknown Interdependencies for Decentralized Root Cause Analysis in Nonlinear Dynamical Systems25 Feb 2026
- 2026On the Convergence of Stochastic Gradient Descent with Perturbed Forward-Backward Passes24 Feb 2026
- 2025PubSub-VFL: Towards Efficient Two-Party Split Learning in Heterogeneous Environments via Publisher/Subscriber Architecture14 Oct 2025
- 2025Integrated Sensing, Communication, and Computation for Over-the-Air Federated Edge Learning21 Aug 2025
- 2025FlexP-SFT: A Flexible Aggregation-Free Framework for On-Device Personalized Split Federated Fine-Tuning of LLMs14 Aug 2025
- 2025X-VFL: A New Vertical Federated Learning Framework with Cross Completion and Decision Subspace Alignment7 Aug 2025
- 2025Event-Driven Online Vertical Federated Learning17 Jun 2025
- 2025Multimodal Federated Learning: A Survey through the Lens of Different FL Paradigms27 May 2025
- 2025Vertical Federated Learning in Practice: The Good, the Bad, and the Ugly12 Feb 2025
12 newest of 36 All 36 (JSON)
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