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Search space

As explained in Bayesian Optimization in Action

A search space is the set of input locations or controllable settings over which an objective function is optimized.

A search space is the set of input locations or controllable settings over which an objective function is optimized. Each tunable parameter contributes a dimension, and optimization searches combinations of parameter values for high performance. section 7.5

Airplane design

An airplane-design search space can include body length, wing span, wing angle, turbine-blade angle, and rotation speed. A simulation scores each proposed design for metrics such as speed or energy efficiency, turning parameter tuning into black-box optimization. section 7.5

Figure 7.19 The objective function of the simulated airplane design optimization problem in various two-dimensional subspaces, corresponding to pairs of tunable parameters, shown as axis labels. Bright spots indicate high objective values, which are our optimization goals; dark spots indicate low objective values.

Compare two-dimensional subspaces formed by pairs of airplane-design parameters; bright regions mark higher objective values and dark regions lower values. section 7.5

How Bayesian Optimization in Action covers it

How deep it goes
Defines dimensions through tunable parameters and illustrates two-dimensional subspaces, without developing search-space theory.
Examples
Uses simulated airplane designs, four input parameters, performance scores, and two-dimensional objective-function visualizations.
What you can do after
Apply it by identifying tunable parameters and evaluating combinations through a simulation-based objective function.
How it connects
Connects search space with objective functions, black-box optimization, BayesOpt, and batch optimization.

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This explainer was generated by Manning's knowledge graph from the text of Bayesian Optimization in Action. The section links point to the parts of the book it draws on.