Stable Bayesian optimization

By Thanh Dai Nguyen, Sunil Gupta, Santu Rana, Svetha Venkatesh. 2018

33 citations recorded by the source corpus.

Tuning hyperparameters of machine learning models is important for their performance. Bayesian optimization has recently emerged as a de-facto method for this task. The hyperparameter tuning is usually performed by looking at model performance on a validation set. Bayesian optimization is used to find the hyperparameter set corresponding to the best model performance. However, in many cases, the function representing the model performance on the validation set contains several spurious sharp peaks due to limited datapoints. The Bayesian optimization, in such cases, has a tendency to converge to sharp peaks instead of other more stable peaks. When a model trained using these hyperparameters is deployed in the real world, its performance suffers dramatically. We address this problem through a novel stable Bayesian optimization framework. We construct two new acquisition functions that help Bayesian optimization to avoid the convergence to the sharp peaks. We conduct a theoretical analysis and guarantee that Bayesian optimization using the proposed acquisition functions prefers stable peaks over unstable ones. Experiments with synthetic function optimization and hyperparameter tuning for support vector machines show the effectiveness of our proposed framework.

Subfields: Artificial Intelligence, Computational Theory and Mathematics

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In Artificial Intelligence

  1. Arber Zela
  2. Frank Hutter
  3. Thomas Brox
  4. Thomas Elsken
  5. Tonmoy Saikia
  6. Yassine Marrakchi
  7. Quoc V. Le
  8. Xia Hu

In Computational Theory and Mathematics

  1. Frank Hutter
  2. Thomas Brox
  3. Tonmoy Saikia
  4. Holger H. Hoos
  5. Kevin Leyton-Brown
  6. Aaron Klein
  7. Marco F. Huber
  8. Marc-André Zöller

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