A Coefficient Makes SVRG Effective
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Abstract (arXiv)
Stochastic Variance Reduced Gradient (SVRG), introduced by Johnson & Zhang (2013), is a theoretically compelling optimization method. However, as Defazio & Bottou (2019) highlight, its effectiveness in deep learning is yet to be proven. In this work, we demonstrate the potential of SVRG in optimizing real-world neural networks. Our empirical analysis finds that, for deeper neural networks, the strength of the variance reduction term in SVRG should be smaller and decrease as training progresses. Inspired by this, we introduce a multiplicative coefficient α to control the strength and adjust it through a linear decay schedule. We name our method α-SVRG. Our results show α-SVRG better optimizes models, consistently reducing training loss compared to the baseline and standard SVRG across various model architectures and multiple image classification datasets. We hope our findings encourage further exploration into variance reduction techniques in deep learning. Code is available at github.com/davidyyd/alpha-SVRG.
Key facts. Cited by 7 papers in the map (data through 14 Oct 2026). Builds on 47 of its 68 references that are in the map. First posted on arXiv 9 Nov 2023.
Builds on
47 of 68 references.
References · 47
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35 more
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Built on by
Citing papers per year: 2024: 1; 2025: 5; 2026: 1.
7 papers.
- 2024MARS: Unleashing the Power of Variance Reduction for Training Large Modelscited by 64
- 2025MARS-M: When Variance Reduction Meets Matricescited by 10
- 2025On Learning Verifiers and Implications to Chain-of-Thought Reasoningcited by 6
- 2025Non-Convex Federated Optimization under Cost-Aware Client Selectioncited by 1
- 2025Convergence Analysis of alpha-SVRG under Strong Convexitycited by 0
- 2025SVRG and Beyond via Posterior Correctioncited by 0
- 2026Personalized Federated Learning for Gradient Alignmentcited by 0
- 2026Personalized Federated Learning for Gradient Alignment4 May 2026
- 2025Non-Convex Federated Optimization under Cost-Aware Client Selection5 Dec 2025
- 2025SVRG and Beyond via Posterior Correction1 Dec 2025
- 2025MARS-M: When Variance Reduction Meets Matrices20 Oct 2025
- 2025On Learning Verifiers and Implications to Chain-of-Thought Reasoning28 May 2025
- 2025Convergence Analysis of alpha-SVRG under Strong Convexity16 Mar 2025
- 2024MARS: Unleashing the Power of Variance Reduction for Training Large Models15 Nov 2024