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Run1 pareto frontier identification

Skill cxcscmu/SkillLearnBench/skills/b3-teacher-feedback-gemini-3-flash-preview/dbscan-parameter-tuning/run1_pareto-frontier-identification

Identifying the set of non-dominated solutions in a multi-objective optimization problem.From its SKILL.md

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npx -y skills add cxcscmu/SkillLearnBench --skill run1_pareto-frontier-identification

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SKILL.md

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In multi-objective optimization (e.g., maximizing F1 while minimizing Delta), a solution is Pareto optimal if no other solution is better in both metrics.

Algorithm to find Pareto Frontier:

  1. Start with a list of candidate points (after filtering for F1 > 0.5).
  2. A point $A$ is "dominated" by point $B$ if:
    • $F1_B \ge F1_A$ AND $Delta_B \le Delta_A$
    • AND at least one inequality is strict.
  3. The Pareto frontier consists of all points that are not dominated by any other point in the set.

Implementation Tip: Sort the candidates by one objective (e.g., F1 descending) first. This simplifies the comparison logic as you iterate through the list to check for dominance.

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