If we want optimize the following problem $$ \min_x \{a(x)+c(x)\} $$ and we have $$ a = \min_y b(y) $$ then, could we directly optimize the following problem? $$ \min_x \{b(x)+c(x)\} $$
2026-04-02 23:26:56.1775172416
Is the optimization problem right?
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The last problem has solution $$\min_{x}c(x)+a$$ Now you need to find $\min_x c(x)$, but I do not see any way it can be found only from $\min_x a(x)+\min_x c(x)$ if you have no other information.