Empirical Study on Optimizer Selection for Out-of-Distribution Generalizations

Abstract

Modern deep learning systems do not generalize well when the test data distribution is slightly different to the training data distribution. While much promising work has been accomplished to address this fragility, a systematic study of the role of optimizers and their out-of-distribution generalization performance has not been undertaken. In this study, we examine the performance of popular first-order optimizers for different classes of distributional shift under empirical risk minimization and invariant risk minimization. We address this question for image and text classification using DomainBed, WILDS, and Backgrounds Challenge as testbeds for studying different types of shifts -- namely correlation and diversity shift. We search over a wide range of hyperparameters and examine classification accuracy (in-distribution and out-of-distribution) for over 20,000 models. We arrive at the following findings, which we expect to be helpful for practitioners: i) adaptive optimizers (e.g., Adam) perform worse than non-adaptive optimizers (e.g., SGD, momentum SGD) on out-of-distribution performance. In particular, even though there is no significant difference in in-distribution performance, we show a measurable difference in out-of-distribution performance. ii) in-distribution performance and out-of-distribution performance exhibit three types of behavior depending on the dataset -- linear returns, increasing returns, and diminishing returns. For example, in the training of natural language data using Adam, fine-tuning the performance of in-distribution performance does not significantly contribute to the out-of-distribution generalization performance.

Research links

• OpenReview
• Code

How to cite

Hiroki Naganuma, Kartik Ahuja, Shiro Takagi, Tetsuya Motokawa, Rio Yokota, Kohta Ishikawa, Ikuro Sato, Ioannis Mitliagkas. “Empirical Study on Optimizer Selection for Out-of-Distribution Generalizations.” Transactions on Machine Learning Research, 2023.

@article{Naganuma2023Empirical,
  title = {Empirical Study on Optimizer Selection for Out-of-Distribution Generalizations},
  author = {Hiroki Naganuma and Kartik Ahuja and Shiro Takagi and Tetsuya Motokawa and Rio Yokota and Kohta Ishikawa and Ikuro Sato and Ioannis Mitliagkas},
  year = {2023},
  journal = {Transactions on Machine Learning Research},
  url = {https://openreview.net/forum?id=ipe0IMglFF}
}