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@jemoka / Jemoka Knowledge Base / raw/concept/kbhutility_fusion.md
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--- title: "utility fusion" source: https://www.jemoka.com/posts/kbhutility_fusion/ --- Take the utility function from a bunch of POMDPs and combine them together using a fusion function. \begin{equation} U^{*}(b,a) = f(U^{*}(b_1, a) … U^{*}(b_{n}, a) \end{equation} where \(f\) can be sum or min. The overall belief \(b\) is simply \(B_1 \times … \times B_{n}\), which combines all beliefs together.