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Warm Starting CMA-ES for Hyperparameter Optimization

AAAI 2021 · Probabilistic and scientific modeling › Bayesian optimization · approach: Multi-fidelity hyperparameter optimization · 35 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Initialize CMA-ES from the promising-region distribution estimated from source-task observationsCMA-ES · HPO tasks using a dataset subset as sourcebest objective valueHelped
Initialize CMA-ES from a promising-region distribution estimated on another datasetCMA-ES · Fashion-MNIST from MNIST; CIFAR-10 from SVHNbest objective value: approximately 25 and 30 evaluationsHelped
Use source-task information with higher subset ratio (ablation)WS-CMA-ES · MNIST and Fashion-MNIST HPOconvergence speedHelped
Vary the source-task offset away from the target offset (ablation)WS-CMA-ES · Sphere and Rotated Ellipsoid Functionsbest evaluation value fMixed
Replace source-based initialization with reuse of the source-task final Gaussian distribution (ablation)CMA-ES · Sphere and Rotated Ellipsoid Functionsbest evaluation value fMixed
Keep sampling from the source-task GMM without adapting during target optimization (ablation)WS-CMA-ES · Sphere and Rotated Ellipsoid Functionsbest evaluation value fHurt
Restrict the warm-started covariance matrix to a diagonal (ablation)WS-CMA-ES · HPO under a severely limited budgetbest objective valueNo clear effect
Vary alpha from 0.05 to 0.25 (ablation)WS-CMA-ES · MLP on MNIST with subset sourcebest objective valueNo clear effect
Increase gamma across the tested range (ablation)WS-CMA-ES · MLP on MNIST with subset sourcebest objective valueHurt
Use alpha=0.05 on a dissimilar source-target task (ablation)WS-CMA-ES · Rotated Ellipsoid Function, offset b=0.2best evaluation value fHurt
Use gamma=0.05 on a dissimilar source-target task (ablation)WS-CMA-ES · Rotated Ellipsoid Function, offset b=0.2best evaluation value fHurt

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