A Kernel for Hierarchical Parameter Spaces

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Frank Hutter , Michael A. Osborne This is my paper · ORCID

classification stat.MLcs.LG

keywords hierarchicalparameterspacescontinuousdefinedefinitediscretefamily

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We define a family of kernels for mixed continuous/discrete hierarchical parameter spaces and show that they are positive definite.

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System Architecture Optimization Strategies: Dealing with Expensive Hierarchical Problems
math.OC 2025-02 conditional novelty 6.0 of 10

A new Bayesian optimization framework with hierarchical kernels and hierarchical sampling solves a jet engine architecture problem in about 300 evaluations, matching NSGA-II results that previously required 3250.