AINeutralarXiv – CS AI · 3h ago5/10
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Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity
This academic paper advances Bayesian multiobjective optimization by clarifying how preference transformations affect two key performance indicators—hypervolume and R2—used in algorithm design. The research provides exact computational methods and proves that R2 improvement, contrary to prior assumptions, cannot be directly computed as objective-space hypervolume but instead represents volume in scalarization space, enabling new algorithmic implementations.