This repository contains code for the paper Adam through a Second-Order Lens , submitted to ICLR 2024.

Installation

Our complete development environment under Python 3.10 is specified in local_requirements.txt, with a list of top-level requirements given in Pipfile. In theory, pipenv install in a fresh virtual environment will set everything up; in practice, JAX in particular may need manual intervention depending on your local CUDA and cuDNN versions.

At the time of writing, we depend on a bugfix to the KFAC-JAX library, which is specified in kfac_jax.patch. This can be applied from the project root with

$ patch -p0 -i kfac_jax.patch

Datasets are not bundled with the repository, so before first use they will need to be downloaded by calling the constructors with download=True.

Running

Each dataset and algorithm is specified by a YAML configuration file in configs/, where AdamQLR_Damped.yaml is the AdamQLR (Tuned) algorithm described in our paper, and AdamQLR_NoHPO.yaml is the AdamQLR (Untuned) setting. To perform a single training run, simply pass the corresponding files to train.py with the -c flag, e.g.:

$ python train.py -c ./configs/fashion_mnist.yaml ./configs/AdamQLR_Damped.yaml

A complete hyperparameter optimisation routine, including 50 repetitions of the best hyperparameters found, can be performed by calling hyperparameter_optimisation.py with the corresponding configuration files:

$ python hyperparameter_optimisation.py -c ./configs/fashion_mnist.yaml ./configs/AdamQLR_Damped.yaml ./configs/ASHA.yaml

This same file also contains helper functions for running sensitivity studies. Hyperparameter optimisation runs based on overall runtime rather than number of epochs may be performed by substituting ./configs/ASHA_time_training.yaml or ./configs/ASHA_time_validation.yaml in place of ./configs/ASHA.yaml.

To replicate all our experimental results, the various run_*.sh* scripts may be useful.

Analysis

Logs are produced by Tensorboard in a runs/ directory by default; the paths can be changed with the config/command-line flag --log-root.

All our experimental plots are produced using paper_plots.py, though you may need to update the paths to match your local configuration.