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A Multi-Batch L-BFGS Method for Machine Learning
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Robust (overlap-based) gradient differences for quasi-Newton updating instead of inconsistent gradient differences (ablation) | multi-batch L-BFGS · webspam logistic regression | stability of gradient norm across 10 seeds | Helped |
| Use multi-batch L-BFGS instead of multi-batch gradient descent (H_k = I) | multi-batch gradient method · webspam logistic regression | convergence of gradient norm | Helped |
| Overlap size varied from 5% to 30% of batch (ablation) | robust multi-batch L-BFGS · webspam logistic regression | gradient norm convergence | No clear effect |
| Robust L-BFGS compared with serial SGD at r=1% | robust multi-batch L-BFGS · webspam logistic regression | accuracy and rate per epoch | No clear effect |
| Robust sample-consistent overlap updating under node failures with p in {0.1,0.3,0.5} (ablation) | robust multi-batch L-BFGS · webspam with node failures | stability over 10 runs | Helped |
| Increase number of MPI processes (strong scaling) for gradient computation | robust multi-batch L-BFGS · artificial data d=1e4, n=1e7, K up to 128 | gradient computation time | Helped |
| Use a larger step length alpha=1 instead of 0.1 (ablation) | robust multi-batch L-BFGS · logistic regression benchmark datasets | convergence of gradient norm | Helped |
Closest papers by meaning
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- A Quantitative Analysis of the Effect of Batch Normalization on Gradient Descent (ICML 2019 · similarity 0.87)
- AdaGK-SGD: Adaptive Global Knowledge Guided Distributed Stochastic Gradient Descent (AAAI 2025 · similarity 0.86)
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