A Quasi-Newton Method Based Vertical Federated Learning Framework for Logistic Regression
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Abstract (arXiv)
Data privacy and security becomes a major concern in building machine learning models from different data providers. Federated learning shows promise by leaving data at providers locally and exchanging encrypted information. This paper studies the vertical federated learning structure for logistic regression where the data sets at two parties have the same sample IDs but own disjoint subsets of features. Existing frameworks adopt the first-order stochastic gradient descent algorithm, which requires large number of communication rounds. To address the communication challenge, we propose a quasi-Newton method based vertical federated learning framework for logistic regression under the additively homomorphic encryption scheme. Our approach can considerably reduce the number of communication rounds with a little additional communication cost per round. Numerical results demonstrate the advantages of our approach over the first-order method.
Key facts. Cited by 37 papers in the map (data through 7 Oct 2026). First posted on arXiv 1 Dec 2019.
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Citing papers per year: 2021: 11; 2022: 10; 2023: 10; 2024: 3; 2025: 3.
37 papers.
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- 2023Trustworthy LLMs: a Survey and Guideline for Evaluating Large Language Models' Alignmentcited by 394
- 2021Federated Learning on Non-IID Data: A Surveycited by 345
- 2021Secure Bilevel Asynchronous Vertical Federated Learning with Backward Updatingcited by 37
- 2021FedV: Privacy-Preserving Federated Learning over Vertically Partitioned Datacited by 31
- 2023A Survey on Vertical Federated Learning: From a Layered Perspectivecited by 30
- 2022Differentially Private Label Protection in Split Learningcited by 25
- 2022FairVFL: A Fair Vertical Federated Learning Framework with Contrastive Adversarial Learningcited by 23
- 2022SphereFed: Hyperspherical Federated Learningcited by 19
- 2022Vertical Federated Learning: A Structured Literature Reviewcited by 17
- 2021AsySQN: Faster Vertical Federated Learning Algorithms with Better Computation Resource Utilizationcited by 16
- 2021ExPLoit: Extracting Private Labels in Split Learningcited by 15
- 2022Coresets for Vertical Federated Learning: Regularized Linear Regression and K-Means Clusteringcited by 14
25 more
- 2021Fed-EINI: An Efficient and Interpretable Inference Framework for Decision Tree Ensembles in Federated Learningcited by 10
- 2021Towards Efficient Synchronous Federated Training: A Survey on System Optimization Strategiescited by 9
- 2022Desirable Companion for Vertical Federated Learning: New Zeroth-Order Gradient Based Algorithmcited by 9
- 2023Robust and IP-Protecting Vertical Federated Learning against Unexpected Quitting of Partiescited by 7
- 2023Vertical Federated Learning over Cloud-RAN: Convergence Analysis and System Optimizationcited by 7
- 2024A Survey of Privacy Threats and Defense in Vertical Federated Learning: From Model Life Cycle Perspectivecited by 7
- 2021Efficient Batch Homomorphic Encryption for Vertically Federated XGBoostcited by 6
- 2022FedGBF: An efficient vertical federated learning framework via gradient boosting and baggingcited by 5
- 2021A Vertical Federated Learning Framework for Horizontally Partitioned Labelscited by 4
- 2022Differentially Private Vertical Federated Learningcited by 4
- 2023Secure Vertical Federated Learning Under Unreliable Connectivitycited by 4
- 2023GLASU: A Communication-Efficient Algorithm for Federated Learning with Vertically Distributed Graph Datacited by 3
- 2024URVFL: Undetectable Data Reconstruction Attack on Vertical Federated Learningcited by 3
- 2025Federated Granger Causality Learning for Interdependent Clients with State Space Representationcited by 3
- 2021Vertical federated learning based on DFP and BFGScited by 2
- 2021SecureBoost+: Large Scale and High-Performance Vertical Federated Gradient Boosting Decision Treecited by 2
- 2022Privacy Against Inference Attacks in Vertical Federated Learningcited by 2
- 2023Secure and Fast Asynchronous Vertical Federated Learning via Cascaded Hybrid Optimizationcited by 2
- 2023Privacy Against Agnostic Inference Attacks in Vertical Federated Learningcited by 1
- 2023Quadratic Functional Encryption for Secure Training in Vertical Federated Learningcited by 1
- 2023Flexible Differentially Private Vertical Federated Learning with Adaptive Feature Embeddingscited by 1
- 2024PackVFL: Efficient HE Packing for Vertical Federated Learningcited by 1
- 2022Game of Privacy: Towards Better Federated Platform Collaboration under Privacy Restrictioncited by 0
- 2025FedOSAA: Improving Federated Learning with One-Step Anderson Accelerationcited by 0
- 2025Event-Driven Online Vertical Federated Learningcited by 0
- 2025Event-Driven Online Vertical Federated Learning17 Jun 2025
- 2025FedOSAA: Improving Federated Learning with One-Step Anderson Acceleration14 Mar 2025
- 2025Federated Granger Causality Learning for Interdependent Clients with State Space Representation23 Jan 2025
- 2024PackVFL: Efficient HE Packing for Vertical Federated Learning1 May 2024
- 2024URVFL: Undetectable Data Reconstruction Attack on Vertical Federated Learning30 Apr 2024
- 2024A Survey of Privacy Threats and Defense in Vertical Federated Learning: From Model Life Cycle Perspective6 Feb 2024
- 2023Trustworthy LLMs: a Survey and Guideline for Evaluating Large Language Models' Alignment10 Aug 2023
- 2023Flexible Differentially Private Vertical Federated Learning with Adaptive Feature Embeddings26 Jul 2023
- 2023Secure and Fast Asynchronous Vertical Federated Learning via Cascaded Hybrid Optimization28 Jun 2023
- 2023Secure Vertical Federated Learning Under Unreliable Connectivity26 May 2023
- 2023Quadratic Functional Encryption for Secure Training in Vertical Federated Learning15 May 2023
- 2023Vertical Federated Learning over Cloud-RAN: Convergence Analysis and System Optimization4 May 2023
25 more
- 2023A Survey on Vertical Federated Learning: From a Layered Perspective4 Apr 2023
- 2023Robust and IP-Protecting Vertical Federated Learning against Unexpected Quitting of Parties28 Mar 2023
- 2023GLASU: A Communication-Efficient Algorithm for Federated Learning with Vertically Distributed Graph Data16 Mar 2023
- 2023Privacy Against Agnostic Inference Attacks in Vertical Federated Learning10 Feb 2023
- 2022Vertical Federated Learning: A Structured Literature Review1 Dec 2022
- 2022Differentially Private Vertical Federated Learning13 Nov 2022
- 2022Coresets for Vertical Federated Learning: Regularized Linear Regression and K-Means Clustering26 Oct 2022
- 2022Privacy Against Inference Attacks in Vertical Federated Learning24 Jul 2022
- 2022SphereFed: Hyperspherical Federated Learning19 Jul 2022
- 2022FairVFL: A Fair Vertical Federated Learning Framework with Contrastive Adversarial Learning7 Jun 2022
- 2022FedGBF: An efficient vertical federated learning framework via gradient boosting and bagging3 Apr 2022
- 2022Desirable Companion for Vertical Federated Learning: New Zeroth-Order Gradient Based Algorithm19 Mar 2022
- 2022Differentially Private Label Protection in Split Learning4 Mar 2022
- 2022Game of Privacy: Towards Better Federated Platform Collaboration under Privacy Restriction10 Feb 2022
- 2021Efficient Batch Homomorphic Encryption for Vertically Federated XGBoost8 Dec 2021
- 2021ExPLoit: Extracting Private Labels in Split Learning25 Nov 2021
- 2021SecureBoost+: Large Scale and High-Performance Vertical Federated Gradient Boosting Decision Tree21 Oct 2021
- 2021AsySQN: Faster Vertical Federated Learning Algorithms with Better Computation Resource Utilization26 Sep 2021
- 2021Towards Efficient Synchronous Federated Training: A Survey on System Optimization Strategies9 Sep 2021
- 2021A Vertical Federated Learning Framework for Horizontally Partitioned Labels18 Jun 2021
- 2021Federated Learning on Non-IID Data: A Survey12 Jun 2021
- 2021Fed-EINI: An Efficient and Interpretable Inference Framework for Decision Tree Ensembles in Federated Learning20 May 2021
- 2021FedV: Privacy-Preserving Federated Learning over Vertically Partitioned Data5 Mar 2021
- 2021Secure Bilevel Asynchronous Vertical Federated Learning with Backward Updating1 Mar 2021
- 2021Vertical federated learning based on DFP and BFGS23 Jan 2021
- 2023Trustworthy LLMs: a Survey and Guideline for Evaluating Large Language Models' Alignmentcited by 394
- 2021Federated Learning on Non-IID Data: A Surveycited by 345
- 2021Secure Bilevel Asynchronous Vertical Federated Learning with Backward Updatingcited by 37
- 2021FedV: Privacy-Preserving Federated Learning over Vertically Partitioned Datacited by 31
- 2023A Survey on Vertical Federated Learning: From a Layered Perspectivecited by 30
- 2022Differentially Private Label Protection in Split Learningcited by 25
- 2022FairVFL: A Fair Vertical Federated Learning Framework with Contrastive Adversarial Learningcited by 23
- 2022SphereFed: Hyperspherical Federated Learningcited by 19
- 2022Vertical Federated Learning: A Structured Literature Reviewcited by 17
- 2021AsySQN: Faster Vertical Federated Learning Algorithms with Better Computation Resource Utilizationcited by 16
- 2021ExPLoit: Extracting Private Labels in Split Learningcited by 15
- 2022Coresets for Vertical Federated Learning: Regularized Linear Regression and K-Means Clusteringcited by 14
12 most cited of 37 All 37 (JSON)
- 2025Event-Driven Online Vertical Federated Learning17 Jun 2025
- 2025FedOSAA: Improving Federated Learning with One-Step Anderson Acceleration14 Mar 2025
- 2025Federated Granger Causality Learning for Interdependent Clients with State Space Representation23 Jan 2025
- 2024PackVFL: Efficient HE Packing for Vertical Federated Learning1 May 2024
- 2024URVFL: Undetectable Data Reconstruction Attack on Vertical Federated Learning30 Apr 2024
- 2024A Survey of Privacy Threats and Defense in Vertical Federated Learning: From Model Life Cycle Perspective6 Feb 2024
- 2023Trustworthy LLMs: a Survey and Guideline for Evaluating Large Language Models' Alignment10 Aug 2023
- 2023Flexible Differentially Private Vertical Federated Learning with Adaptive Feature Embeddings26 Jul 2023
- 2023Secure and Fast Asynchronous Vertical Federated Learning via Cascaded Hybrid Optimization28 Jun 2023
- 2023Secure Vertical Federated Learning Under Unreliable Connectivity26 May 2023
- 2023Quadratic Functional Encryption for Secure Training in Vertical Federated Learning15 May 2023
- 2023Vertical Federated Learning over Cloud-RAN: Convergence Analysis and System Optimization4 May 2023
12 newest of 37 All 37 (JSON)