mlsanityData to 7 Oct 2026

CaPC Learning: Confidential and Private Collaborative Learning

arXiv 2102.05188 ↗First posted 9 Feb 2021cs.LG cs.CRcited by 33

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Abstract (arXiv)

Machine learning benefits from large training datasets, which may not always be possible to collect by any single entity, especially when using privacy-sensitive data. In many contexts, such as healthcare and finance, separate parties may wish to collaborate and learn from each other's data but are prevented from doing so due to privacy regulations. Some regulations prevent explicit sharing of data between parties by joining datasets in a central location (confidentiality). Others also limit implicit sharing of data, e.g., through model predictions (privacy). There is currently no method that enables machine learning in such a setting, where both confidentiality and privacy need to be preserved, to prevent both explicit and implicit sharing of data. Federated learning only provides confidentiality, not privacy, since gradients shared still contain private information. Differentially private learning assumes unreasonably large datasets. Furthermore, both of these learning paradigms produce a central model whose architecture was previously agreed upon by all parties rather than enabling collaborative learning where each party learns and improves their own local model. We introduce Confidential and Private Collaborative (CaPC) learning, the first method provably achieving both confidentiality and privacy in a collaborative setting. We leverage secure multi-party computation (MPC), homomorphic encryption (HE), and other techniques in combination with privately aggregated teacher models. We demonstrate how CaPC allows participants to collaborate without having to explicitly join their training sets or train a central model. Each party is able to improve the accuracy and fairness of their model, even in settings where each party has a model that performs well on their own dataset or when datasets are not IID and model architectures are heterogeneous across parties.

Key facts. Cited by 33 papers in the map (data through 7 Oct 2026). Builds on 13 of its 43 references that are in the map. First posted on arXiv 9 Feb 2021.

Builds on

13 of 43 references.

References · 13

  1. 2016Deep Learning with Differential Privacycited by 2,682
  2. 2016Membership Inference Attacks against Machine Learning Modelscited by 2,221
  3. 2016Equality of Opportunity in Supervised Learningcited by 2,000
  4. 2016Federated Learning: Strategies for Improving Communication Efficiencycited by 1,461
  5. 2018The Secret Sharer: Evaluating and Testing Unintended Memorization in Neural Networkscited by 847
  6. 2017Renyi Differential Privacycited by 643
  7. 2016Semi-supervised Knowledge Transfer for Deep Learning from Private Training Datacited by 347
  8. 2018Scalable Private Learning with PATEcited by 266
  9. 2018Gazelle: A Low Latency Framework for Secure Neural Network Inferencecited by 193
  10. 2020InstaHide: Instance-hiding Schemes for Private Distributed Learningcited by 90
  11. 2020TextHide: Tackling Data Privacy in Language Understanding Taskscited by 32
  12. 2018nGraph-HE: A Graph Compiler for Deep Learning on Homomorphically Encrypted Datacited by 24
1 more
  1. 2020Privacy-preserving Learning via Deep Net Pruningcited by 12

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 3; 2022: 14; 2023: 5; 2024: 7; 2025: 2; 2026: 2.

33 papers.

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  1. 2021Federated Learning for Smart Healthcare: A Surveycited by 182
  2. 2023Flocks of Stochastic Parrots: Differentially Private Prompt Learning for Large Language Modelscited by 80
  3. 2022Federated Learning for Privacy Preservation in Smart Healthcare Systems: A Comprehensive Surveycited by 31
  4. 2022Disparate Impact in Differential Privacy from Gradient Misalignmentcited by 31
  5. 2024Teach LLMs to Phish: Stealing Private Information from Language Modelscited by 29
  6. 2021ProgFed: Effective, Communication, and Computation Efficient Federated Learning by Progressive Trainingcited by 27
  7. 2023Practical Differentially Private and Byzantine-resilient Federated Learningcited by 18
  8. 2022Machine Learning with Confidential Computing: A Systematization of Knowledgecited by 13
  9. 2025Edge-Cloud Collaborative Computing on Distributed Intelligence and Model Optimization: A Surveycited by 13
  10. 2022The Future of Consumer Edge-AI Computingcited by 12
  11. 2024Open LLMs are Necessary for Current Private Adaptations and Outperform their Closed Alternativescited by 12
  12. 2022Federated Learning Attacks and Defenses: A Surveycited by 11
21 more
  1. 2022Individualized PATE: Differentially Private Machine Learning with Individual Privacy Guaranteescited by 10
  2. 2021SoK: Machine Learning Governancecited by 9
  3. 2022Private, Efficient, and Accurate: Protecting Models Trained by Multi-party Learning with Differential Privacycited by 7
  4. 2022Private and Reliable Neural Network Inferencecited by 6
  5. 2024Certification for Differentially Private Prediction in Gradient-Based Trainingcited by 6
  6. 2022SafeNet: The Unreasonable Effectiveness of Ensembles in Private Collaborative Learningcited by 5
  7. 2022Hierarchical Federated Learning with Privacycited by 4
  8. 2025CYCle: Choosing Your Collaborators Wisely to Enhance Collaborative Fairness in Decentralized Learningcited by 4
  9. 2022In Differential Privacy, There is Truth: On Vote Leakage in Ensemble Private Learningcited by 2
  10. 2023MLHOps: Machine Learning for Healthcare Operationscited by 2
  11. 2023Why Train More? Effective and Efficient Membership Inference via Memorizationcited by 2
  12. 2024Wildest Dreams: Reproducible Research in Privacy-preserving Neural Network Trainingcited by 2
  13. 2024FedPeWS: Personalized Warmup via Subnetworks for Enhanced Heterogeneous Federated Learningcited by 2
  14. 2022Privacy-Preserving Federated Learning via System Immersion and Random Matrix Encryptioncited by 1
  15. 2023Robust and Actively Secure Serverless Collaborative Learningcited by 1
  16. 2022Private Multi-Winner Voting for Machine Learningcited by 0
  17. 2022Encrypted machine learning of molecular quantum propertiescited by 0
  18. 2024Federated Learning with New Knowledge: Fundamentals, Advances, and Futurescited by 0
  19. 2024Immersion and Invariance-based Coding for Privacy-Preserving Federated Learningcited by 0
  20. 2026SoK: Enhancing Cryptographic Collaborative Learning with Differential Privacycited by 0
  21. 2026Certification-Based Differentially Private Learningcited by 0