---
name: yogsoth-ai/factorial-ideation
source: https://app.decimal.ai/s/yogsoth-ai-factorial-ideation@1/SKILL.md
source_sha256: 39a5a27d77e3
---

# Factorial Ideation

Apply Design of Experiments (DOE) thinking to ideation: identify key factors, define their levels, and systematically explore combinations.

## State Ledger

| Resource | Target | Current | % |
|----------|--------|---------|---|
| web-search | 20 | 0 | 0% |
| web-research | 8 | 0 | 0% |
| paper-overview | 20 | 0 | 0% |
| paper-search | 12 | 0 | 0% |
| paper-research | 5 | 0 | 0% |

## HARD-GATE

Cannot exit strategy until ≥80% of each budget line is consumed OR yield targets are met with justification for remaining budget.

## Available Tactics

| Tactic | Role |
|--------|------|
| gap-driven-generation | Generate ideas for uncovered factor combinations |
| evaluation-filtering | Score and filter factorial-derived ideas |

## Available SOPs

| SOP | Role |
|-----|------|
| factor-level-design | Identify factors, define levels, build experiment matrix |
| coverage-gap-detection | Find unexplored regions in factorial space |
| failure-driven-generation | Generate solutions for problematic combinations |
| enumeration-synthesis | Synthesize factorial exploration into idea report |

## Execution Guidance

1. **Identify factors**: Determine key dimensions that define the solution space
2. **Define levels**: For each factor, enumerate possible values/states
3. **Design matrix**: Run factor-level-design to build the experiment matrix
4. **Detect gaps**: Run coverage-gap-detection on the factorial space
5. **Generate**: Propose solutions for high-priority unexplored combinations
6. **Filter**: Apply evaluation-filtering to rank generated ideas
7. **Synthesize**: Produce structured report via enumeration-synthesis

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## Available Tactics

Optional, no fixed order; the final leaf is always a sop.

| Tactic | When to use |
| --- | --- |
| gap-driven-generation | Generate solutions targeting specific coverage gaps — detect gaps, generate failure-driven solutions, and design factor-level experiments. |

## Available SOPs

Optional, no fixed order; the final leaf is always a sop.

| SOP | When to use |
| --- | --- |
| coverage-gap-detection | Detect uncovered regions in the solution space, producing a prioritized gap list. |
| creative-ideation-factor-level-design | Identify factors and their levels for a problem, then design an experiment matrix for systematic exploration. |
| enumeration-synthesis | Synthesize all systematic enumeration outputs into a structured idea report with prioritized recommendations. |

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