Upper Bound from a Small Optimization Error Share
Question: If analysis shows that only 8% of the errors come from the optimization routine, what is the practical upper bound on error reduction from making that routine perfect, and why?
Sample answer: The upper bound is about 8% error reduction, because only that share of the total error is caused by the optimization routine. Even a perfect routine cannot remove errors that come from other sources, such as the model design or the objective itself.
Key points:
- The ceiling is about 8% error reduction.
- The ceiling comes from the fraction of errors attributed to the optimization routine.
- Perfect optimization cannot fix errors caused by other parts of the system.
Rubric: Full credit requires stating the approximate 8% ceiling and explaining that it reflects the share of error caused by the optimization routine.
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Upper Bound from a Small Optimization Error Share
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