yogsoth-ai Pareto Frontier Construction
Systematically construct the set of non-dominated solutions across multiple objectives, visualize the trade-off surface, and guide selection of a final portfolio from the frontier.
Stages
| Stage | SOP | Purpose |
|---|---|---|
| 1 | objective-definition | Define objectives, constraints, and trade-off preferences |
| 2 | optimization-run | Run multi-objective optimization to generate Pareto front |
| 3 | pareto-visualization | Visualize the frontier and trade-off relationships |
| 4 | selection-from-frontier | Select final portfolio based on preferences |
Available SOPs
- objective-definition — Translate context into formal objectives and constraints
- optimization-run — Execute optimization producing non-dominated solution set
- pareto-visualization — Create visual representation of trade-off surface
- selection-from-frontier — Apply preference model to select from frontier
Execution Guidance
- Start with objective-definition to formalize what is being optimized
- Ensure at least 2 competing objectives exist (otherwise no frontier needed)
- Run optimization-run to generate >=5 non-dominated points
- Visualize to help stakeholders understand trade-offs
- Apply stated preferences to select final portfolio
- If preferences are unclear, present 3 representative points (extremes + balanced)
Minimum Yield
- Pareto front with >=5 non-dominated points
- Trade-off visualization showing objective tensions
- Selected portfolio with explicit justification referencing frontier position
Available SOPs
Optional, no fixed order; the final leaf is always a sop.
| SOP | When to use |
|---|---|
| objective-definition | Define optimization objectives, constraints, and trade-off preferences from context and candidate information. |
| optimization-run | Execute multi-objective optimization on candidates to produce a Pareto front of non-dominated solutions. |
| pareto-visualization | Create visual representation of the Pareto frontier showing trade-offs between objectives with narrative explanation. |
| selection-from-frontier | Select the final portfolio from the Pareto front by applying stakeholder preferences and decision criteria. |