Phocas: dimensional Byzantine-resilient stochastic gradient descent
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Abstract (arXiv)
We propose a novel robust aggregation rule for distributed synchronous Stochastic Gradient Descent~(SGD) under a general Byzantine failure model. The attackers can arbitrarily manipulate the data transferred between the servers and the workers in the parameter server~(PS) architecture. We prove the Byzantine resilience of the proposed aggregation rules. Empirical analysis shows that the proposed techniques outperform current approaches for realistic use cases and Byzantine attack scenarios.
Key facts. Cited by 13 papers in the map (data through 7 Oct 2026). First posted on arXiv 23 May 2018.
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Citing papers per year: 2021: 4; 2022: 1; 2023: 4; 2024: 1; 2025: 2; 2026: 1.
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- 2021Differential Privacy and Byzantine Resilience in SGD: Do They Add Up?cited by 17
- 2023Backdoor Attacks in Peer-to-Peer Federated Learningcited by 9
- 2023Byzantine-Robust Distributed Online Learning: Taming Adversarial Participants in An Adversarial Environmentcited by 8
- 2021Byzantine Fault-Tolerance in Federated Local SGD under 2f-Redundancycited by 7
- 2022zPROBE: Zero Peek Robustness Checks for Federated Learningcited by 6
- 2024Privacy-Preserving Aggregation for Decentralized Learning with Byzantine-Robustnesscited by 4
- 2021Combining Differential Privacy and Byzantine Resilience in Distributed SGDcited by 3
- 2021Stochastic Alternating Direction Method of Multipliers for Byzantine-Robust Distributed Learningcited by 1
- 2023A Robust Classification Framework for Byzantine-Resilient Stochastic Gradient Descentcited by 0
- 2023Flag Aggregator: Scalable Distributed Training under Failures and Augmented Losses using Convex Optimizationcited by 0
- 2025Coded Robust Aggregation for Distributed Learning under Byzantine Attackscited by 0
- 2025Find a Scapegoat: Poisoning Membership Inference Attack and Defense to Federated Learningcited by 0
- 2026Byzantine-Robust and Communication-Efficient Distributed Training: Compressive and Cyclic Gradient Coding17 Mar 2026
- 2025Find a Scapegoat: Poisoning Membership Inference Attack and Defense to Federated Learning1 Jul 2025
- 2025Coded Robust Aggregation for Distributed Learning under Byzantine Attacks17 May 2025
- 2024Privacy-Preserving Aggregation for Decentralized Learning with Byzantine-Robustness27 Apr 2024
- 2023Byzantine-Robust Distributed Online Learning: Taming Adversarial Participants in An Adversarial Environment16 Jul 2023
- 2023Flag Aggregator: Scalable Distributed Training under Failures and Augmented Losses using Convex Optimization12 Feb 2023
- 2023Backdoor Attacks in Peer-to-Peer Federated Learning23 Jan 2023
- 2023A Robust Classification Framework for Byzantine-Resilient Stochastic Gradient Descent16 Jan 2023
- 2022zPROBE: Zero Peek Robustness Checks for Federated Learning24 Jun 2022
- 2021Combining Differential Privacy and Byzantine Resilience in Distributed SGD8 Oct 2021
- 2021Byzantine Fault-Tolerance in Federated Local SGD under 2f-Redundancy26 Aug 2021
- 2021Stochastic Alternating Direction Method of Multipliers for Byzantine-Robust Distributed Learning13 Jun 2021
1 more
- 2021Differential Privacy and Byzantine Resilience in SGD: Do They Add Up?cited by 17
- 2023Backdoor Attacks in Peer-to-Peer Federated Learningcited by 9
- 2023Byzantine-Robust Distributed Online Learning: Taming Adversarial Participants in An Adversarial Environmentcited by 8
- 2021Byzantine Fault-Tolerance in Federated Local SGD under 2f-Redundancycited by 7
- 2022zPROBE: Zero Peek Robustness Checks for Federated Learningcited by 6
- 2024Privacy-Preserving Aggregation for Decentralized Learning with Byzantine-Robustnesscited by 4
- 2021Combining Differential Privacy and Byzantine Resilience in Distributed SGDcited by 3
- 2021Stochastic Alternating Direction Method of Multipliers for Byzantine-Robust Distributed Learningcited by 1
- 2023A Robust Classification Framework for Byzantine-Resilient Stochastic Gradient Descentcited by 0
- 2023Flag Aggregator: Scalable Distributed Training under Failures and Augmented Losses using Convex Optimizationcited by 0
- 2025Coded Robust Aggregation for Distributed Learning under Byzantine Attackscited by 0
- 2026Byzantine-Robust and Communication-Efficient Distributed Training: Compressive and Cyclic Gradient Codingcited by 0
- 2026Byzantine-Robust and Communication-Efficient Distributed Training: Compressive and Cyclic Gradient Coding17 Mar 2026
- 2025Coded Robust Aggregation for Distributed Learning under Byzantine Attacks17 May 2025
- 2024Privacy-Preserving Aggregation for Decentralized Learning with Byzantine-Robustness27 Apr 2024
- 2023Byzantine-Robust Distributed Online Learning: Taming Adversarial Participants in An Adversarial Environment16 Jul 2023
- 2023Flag Aggregator: Scalable Distributed Training under Failures and Augmented Losses using Convex Optimization12 Feb 2023
- 2023Backdoor Attacks in Peer-to-Peer Federated Learning23 Jan 2023
- 2023A Robust Classification Framework for Byzantine-Resilient Stochastic Gradient Descent16 Jan 2023
- 2022zPROBE: Zero Peek Robustness Checks for Federated Learning24 Jun 2022
- 2021Combining Differential Privacy and Byzantine Resilience in Distributed SGD8 Oct 2021
- 2021Byzantine Fault-Tolerance in Federated Local SGD under 2f-Redundancy26 Aug 2021
- 2021Stochastic Alternating Direction Method of Multipliers for Byzantine-Robust Distributed Learning13 Jun 2021
- 2021Differential Privacy and Byzantine Resilience in SGD: Do They Add Up?16 Feb 2021