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Paper · arXiv

Automated Random Embedding for Practical Bayesian Optimization with Unknown Effective Dimension

Bayesian optimization is widely employed for optimizing complex black-box functions but struggles with the curse of dimensionality. Random embedding, as a dimension reduction strategy, simplifies tasks that possess the effective dimension by optimizing within a low-dimensional subspace. However, determining the effective dimension of a task in advance remains a significant challenge, which influences the selection of the subspace dimensionality and the optimization performance. Traditional methods use fixed subspace dimensions provided by experts or rely on trial and error to estimate subspace dimensions with resources consumed. To this end, this paper proposes an automated random embeddi...

AuthorsHong Qian, Xiang Shu, Xiang Xia et al.
Primary categorycs.LG
Published22 May 2026
Last updated at source25 May 2026
cs.LGcs.AI
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