mlsanityData to 14 Oct 2026

A Decentralized Parallel Algorithm for Training Generative Adversarial Nets

arXiv 1910.12999 ↗First posted 28 Oct 2019math.OC cs.LGcited by 43

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Abstract (arXiv)

Generative Adversarial Networks (GANs) are a powerful class of generative models in the deep learning community. Current practice on large-scale GAN training utilizes large models and distributed large-batch training strategies, and is implemented on deep learning frameworks (e.g., TensorFlow, PyTorch, etc.) designed in a centralized manner. In the centralized network topology, every worker needs to either directly communicate with the central node or indirectly communicate with all other workers in every iteration. However, when the network bandwidth is low or network latency is high, the performance would be significantly degraded. Despite recent progress on decentralized algorithms for training deep neural networks, it remains unclear whether it is possible to train GANs in a decentralized manner. The main difficulty lies at handling the nonconvex-nonconcave min-max optimization and the decentralized communication simultaneously. In this paper, we address this difficulty by designing the first gradient-based decentralized parallel algorithm which allows workers to have multiple rounds of communications in one iteration and to update the discriminator and generator simultaneously, and this design makes it amenable for the convergence analysis of the proposed decentralized algorithm. Theoretically, our proposed decentralized algorithm is able to solve a class of non-convex non-concave min-max problems with provable non-asymptotic convergence to first-order stationary point. Experimental results on GANs demonstrate the effectiveness of the proposed algorithm.

Key facts. Cited by 43 papers in the map (data through 14 Oct 2026). First posted on arXiv 28 Oct 2019.

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Citing papers per year: 2021: 11; 2022: 16; 2023: 9; 2024: 5; 2025: 1; 2026: 1.

43 papers.

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  1. 2021Distributionally Robust Federated Averagingcited by 104
  2. 2021Local Stochastic Gradient Descent Ascent: Convergence Analysis and Communication Efficiencycited by 40
  3. 2021Extragradient Method: O(1/K) Last-Iterate Convergence for Monotone Variational Inequalities and Connections With Cocoercivitycited by 39
  4. 2022Federated Minimax Optimization: Improved Convergence Analyses and Algorithmscited by 37
  5. 2021Decentralized Local Stochastic Extra-Gradient for Variational Inequalitiescited by 25
  6. 2022Near-Optimal Algorithms for Making the Gradient Small in Stochastic Minimax Optimizationcited by 20
  7. 2021Distributed Methods with Compressed Communication for Solving Variational Inequalities, with Theoretical Guaranteescited by 15
  8. 2022Optimal Algorithms for Decentralized Stochastic Variational Inequalitiescited by 14
  9. 2022FeDXL: Provable Federated Learning for Deep X-Risk Optimizationcited by 11
  10. 2022Decentralized Stochastic Gradient Descent Ascent for Finite-Sum Minimax Problemscited by 11
  11. 2021Solving a class of non-convex min-max games using adaptive momentum methodscited by 10
  12. 2022Communication-Efficient Distributionally Robust Decentralized Learningcited by 10
31 more
  1. 2023Solving a Class of Non-Convex Minimax Optimization in Federated Learningcited by 10
  2. 2022A Communication-efficient Algorithm with Linear Convergence for Federated Minimax Learningcited by 9
  3. 2022Distributed Adversarial Training to Robustify Deep Neural Networks at Scalecited by 9
  4. 2023Stability and Generalization of the Decentralized Stochastic Gradient Descent Ascent Algorithmcited by 9
  5. 2021Distributed Saddle-Point Problems Under Similaritycited by 8
  6. 2022INTERACT: Achieving Low Sample and Communication Complexities in Decentralized Bilevel Learning over Networkscited by 8
  7. 2024Robust Decentralized Learning with Local Updates and Gradient Trackingcited by 8
  8. 2022Tight Analysis of Extra-gradient and Optimistic Gradient Methods For Nonconvex Minimax Problemscited by 7
  9. 2023Similarity, Compression and Local Steps: Three Pillars of Efficient Communications for Distributed Variational Inequalitiescited by 7
  10. 2023Decentralized gradient descent maximization method for composite nonconvex strongly-concave minimax problemscited by 6
  11. 2022Adaptive Federated Minimax Optimization with Lower Complexitiescited by 5
  12. 2023PRECISION: Decentralized Constrained Min-Max Learning with Low Communication and Sample Complexitiescited by 5
  13. 2021Decentralized Personalized Federated Learning for Min-Max Problemscited by 4
  14. 2023Near-Optimal Decentralized Momentum Method for Nonconvex-PL Minimax Problemscited by 4
  15. 2022Decentralized Stochastic Variance Reduced Extragradient Methodcited by 3
  16. 2023Serverless Federated AUPRC Optimization for Multi-Party Collaborative Imbalanced Data Miningcited by 3
  17. 2021CDMA: A Practical Cross-Device Federated Learning Algorithm for General Minimax Problemscited by 2
  18. 2021Local AdaGrad-Type Algorithm for Stochastic Convex-Concave Optimizationcited by 2
  19. 2023Variance-reduced accelerated methods for decentralized stochastic double-regularized nonconvex strongly-concave minimax problemscited by 2
  20. 2024Diffusion Stochastic Optimization for Min-Max Problemscited by 2
  21. 2022Stochastic Gradient Methods with Compressed Communication for Decentralized Saddle Point Problemscited by 1
  22. 2022RCD-SGD: Resource-Constrained Distributed SGD in Heterogeneous Environment via Submodular Partitioningcited by 1
  23. 2022When is Momentum Extragradient Optimal? A Polynomial-Based Analysiscited by 1
  24. 2024Adjacent Leader Decentralized Stochastic Gradient Descentcited by 1
  25. 2024Achieving Near-Optimal Convergence for Distributed Minimax Optimization with Adaptive Stepsizescited by 1
  26. 2021A New Distributed Method for Training Generative Adversarial Networkscited by 0
  27. 2022Stable Parallel Training of Wasserstein Conditional Generative Adversarial Neural Networkscited by 0
  28. 2023Switch and Conquer: Efficient Algorithms By Switching Stochastic Gradient Oracles For Decentralized Saddle Point Problemscited by 0
  29. 2024ParaGAN: A Scalable Distributed Training Framework for Generative Adversarial Networkscited by 0
  30. 2025Decoupled SGDA for Games with Intermittent Strategy Communicationcited by 0
  31. 2026Provably Communication-Efficient and Privacy-Preserving Federated Graph Neural Networkscited by 0