Scalable One-Pass Optimisation of High-Dimensional Weight-Update Hyperparameters by Implicit Differentiation
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Conference Name
International Conference on Learning Representations 2022
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Conference Object
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Clarke, R., Oldewage, E. T., & Hernández-Lobato, J. M. Scalable One-Pass Optimisation of High-Dimensional Weight-Update
Hyperparameters by Implicit Differentiation. International Conference on Learning Representations 2022. https://doi.org/10.17863/CAM.83331
Abstract
Machine learning training methods depend plentifully and intricately on
hyperparameters, motivating automated strategies for their optimisation. Many
existing algorithms restart training for each new hyperparameter choice, at
considerable computational cost. Some hypergradient-based one-pass methods
exist, but these either cannot be applied to arbitrary optimiser
hyperparameters (such as learning rates and momenta) or take several times
longer to train than their base models. We extend these existing methods to
develop an approximate hypergradient-based hyperparameter optimiser which is
applicable to any continuous hyperparameter appearing in a differentiable model
weight update, yet requires only one training episode, with no restarts. We
also provide a motivating argument for convergence to the true hypergradient,
and perform tractable gradient-based optimisation of independent learning rates
for each model parameter. Our method performs competitively from varied random
hyperparameter initialisations on several UCI datasets and Fashion-MNIST (using
a one-layer MLP), Penn Treebank (using an LSTM) and CIFAR-10 (using a
ResNet-18), in time only 2-3x greater than vanilla training.
Keywords
cs.LG, cs.LG, stat.ML
Sponsorship
Engineering and Physical Sciences Research Council (2107369)
Embargo Lift Date
2023-04-07
Identifiers
External DOI: https://doi.org/10.17863/CAM.83331
This record's URL: https://www.repository.cam.ac.uk/handle/1810/335897
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Publisher's own licence
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