Research map / Optimization / Nonconvex and smooth optimization
Communication Acceleration of Local Gradient Methods via an Accelerated Primal-Dual Algorithm with an Inexact Prox
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use FGD+GD instead of GD as the inexact-prox inner method (ablation) | APDA with Inexact Prox · Centralized federated optimization | local steps per round: \widetilde{\mathcal{O}}\left(\sqrt{\kappa}\right) -> \widetilde{\mathcal{O}}\left(\sqrt[3]{\kappa}\right) | Helped |
| Use FGD+FSFOM instead of GD as the inexact-prox inner method (ablation) | APDA with Inexact Prox · Centralized federated optimization | local steps per round: \widetilde{\mathcal{O}}\left(\sqrt{\kappa}\right) -> \widetilde{\mathcal{O}}\left(\sqrt[4]{\kappa}\right) | Helped |
| Use FGD+GD instead of GD as the inexact-prox inner method (ablation) | APDA with Inexact Prox · Centralized federated optimization | gradient computations: \widetilde{\mathcal{O}}\left(\kappa\right) -> \widetilde{\mathcal{O}}\left(\kappa^{\frac{5}{6}}\right) | Helped |
| Use FGD+FSFOM instead of GD as the inexact-prox inner method (ablation) | APDA with Inexact Prox · Centralized federated optimization | gradient computations: \widetilde{\mathcal{O}}\left(\kappa\right) -> \widetilde{\mathcal{O}}\left(\kappa^{\frac{3}{4}}\right) | Helped |
| Add accelerated gossip (ablation) | APDA with Inexact Prox · Decentralized optimization | communication rounds: \widetilde{\mathcal{O}}\left(\sqrt{\kappa\chi} \vee \chi\right) -> \widetilde{\mathcal{O}}\left(\sqrt{\kappa\chi}\right) | Helped |
| Use FGD+GD instead of GD as the inexact-prox inner method (ablation) | APDA with Inexact Prox and Accelerated Gossip · Decentralized optimization | local steps per round: \widetilde{\mathcal{O}}\left(\sqrt{\kappa}\right) -> \widetilde{\mathcal{O}}\left(\sqrt[3]{\kappa}\right) | Helped |
| Use FGD+FSFOM instead of GD as the inexact-prox inner method (ablation) | APDA with Inexact Prox and Accelerated Gossip · Decentralized optimization | local steps per round: \widetilde{\mathcal{O}}\left(\sqrt{\kappa}\right) -> \widetilde{\mathcal{O}}\left(\sqrt[4]{\kappa}\right) | Helped |
Closest papers by meaning
- ProxSkip: Yes! Local Gradient Steps Provably Lead to Communication Acceleration! Finally! (ICML 2022 · similarity 0.94)
- Variance Reduced ProxSkip: Algorithm, Theory and Application to Federated Learning (NeurIPS 2022 · similarity 0.90)
- Prox-PDA: The Proximal Primal-Dual Algorithm for Fast Distributed Nonconvex Optimization and Learning Over Networks (ICML 2017 · similarity 0.89)
- Stabilized Proximal-Point Methods for Federated Optimization (NeurIPS 2024 · similarity 0.89)
- Communication-Efficient Gradient Descent-Accent Methods for Distributed Variational Inequalities: Unified Analysis and Local Updates (ICLR 2024 · similarity 0.87)
- Towards Faster Decentralized Stochastic Optimization with Communication Compression (ICLR 2025 · similarity 0.86)
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