Exp Lens Comparator Construction

• Build a fairness matrix covering all treatment-vs-comparator pairs
• Check for confounding differences in implementation, tuning, data access, and compute
• Assess whether each comparator is the best available alternative at the time of the experiment
• Identify temporal drift in baseline relevance
• BEFORE creating any diagram, LOAD the /mermaid skill using the Skill tool - this is MANDATORY

Analysis Workflow

Step 1: Launch Parallel Exploration Subagents

Spawn Explore subagents to investigate:

Baseline/Control Definitions

• Find what the proposed method is compared against
• Look for: baseline, control, comparison, prior, state-of-the-art, vanilla, default, reference

Implementation Parity

• Find whether baselines get equal engineering effort
• Look for: reproduce, reimplement, original, paper, author, tuned, optimized, hyperparameter

Version & Environment Match

• Find whether baselines use the same software/hardware environment
• Look for: version, library, framework, gpu, hardware, environment, checkpoint

Tuning Protocol Symmetry

• Find whether hyperparameter tuning is symmetric
• Look for: tune, search, grid, optuna, sweep, budget, trials, epochs

Temporal Baseline Drift

• Find whether baselines have been updated or are stale
• Look for: date, published, year, updated, latest, deprecated, legacy

Step 2: Build the Comparator Inventory

For each comparator, assess:

1. Is it the best available alternative?
2. Is it given equal engineering effort?
3. Is it run in the same environment?
4. Is the tuning budget symmetric?
5. Has it drifted since originally published?

Step 3: Construct the Fairness Matrix

CRITICAL — Analyze Counterfactual Quality: For each treatment-vs-comparator pair:

• Does the comparison isolate the intended factor?
• Are there confounding differences in implementation, tuning, data access, or compute?

Build a fairness matrix with rows = comparators, columns = fairness dimensions.

Step 4: Create the Optional Comparison Diagram

If a diagram adds value, create a simplified flowchart. This is OPTIONAL for this hybrid lens — the tables are the primary output.

Direction: LR (treatment and comparator flow in parallel toward evaluation)

Subgraphs: "PROPOSED METHOD", "COMPARATOR(S)", "SHARED EVALUATION"

Node Styling:

• cli class: proposed method nodes
• phase class: comparator method nodes
• handler class: shared evaluation pipeline nodes
• output class: results nodes
• gap class: asymmetries flagged
• detector class: parity checks

Step 5: Write Output

Write the analysis to: temp/exp-lens-comparator-construction/exp_diag_comparator_construction_{YYYY-MM-DD_HHMMSS}.md

Output Template

# Comparator Construction Analysis: {Experiment Name}

**Lens:** Comparator Construction (Counterfactual)
**Question:** Is the comparator fair and relevant?
**Date:** {YYYY-MM-DD}
**Scope:** {What was analyzed}

## Comparator Inventory

| Comparator | Source | Reimplemented? | Same Environment? | Same Tuning Budget? |
|------------|--------|---------------|-------------------|---------------------|
| {name} | {paper/repo} | Yes / No / Partial | Yes / No | Yes / No / Unknown |

## Fairness Matrix

| Comparator | Best Available? | Equal Effort? | Same Env? | Symmetric Tuning? | Temporally Current? |
|------------|----------------|--------------|-----------|-------------------|---------------------|
| {name} | Yes / No | Yes / No | Yes / No | Yes / No | Yes / No |

## Comparison Diagram (Optional)

```mermaid
%%{init: {'flowchart': {'nodeSpacing': 50, 'rankSpacing': 60, 'curve': 'basis'}}}%%
flowchart LR
    %% CLASS DEFINITIONS %%
    classDef cli fill:#1a237e,stroke:#7986cb,stroke-width:2px,color:#fff;
    classDef stateNode fill:#004d40,stroke:#4db6ac,stroke-width:2px,color:#fff;
    classDef handler fill:#e65100,stroke:#ffb74d,stroke-width:2px,color:#fff;
    classDef phase fill:#6a1b9a,stroke:#ba68c8,stroke-width:2px,color:#fff;
    classDef newComponent fill:#2e7d32,stroke:#81c784,stroke-width:2px,color:#fff;
    classDef output fill:#00695c,stroke:#4db6ac,stroke-width:2px,color:#fff;
    classDef detector fill:#b71c1c,stroke:#ef5350,stroke-width:2px,color:#fff;
    classDef gap fill:#ff6f00,stroke:#ffa726,stroke-width:2px,color:#000;
    classDef integration fill:#c62828,stroke:#ef9a9a,stroke-width:2px,color:#fff;

    subgraph Proposed ["PROPOSED METHOD"]
        METHOD["Proposed Method<br/>━━━━━━━━━━<br/>{method name}"]
    end

    subgraph Comparators ["COMPARATOR(S)"]
        COMP1["Comparator 1<br/>━━━━━━━━━━<br/>{name}"]
        COMP2["Comparator 2<br/>━━━━━━━━━━<br/>{name}"]
    end

    subgraph Evaluation ["SHARED EVALUATION"]
        EVAL["Evaluation Pipeline<br/>━━━━━━━━━━<br/>{dataset/benchmark}"]
        RESULTS["Results<br/>━━━━━━━━━━<br/>{metrics reported}"]
        PARITY["Parity Check<br/>━━━━━━━━━━<br/>{asymmetry found}"]
        ASYM["Asymmetry<br/>━━━━━━━━━━<br/>{description}"]
    end

    METHOD -->|"evaluated on"| EVAL
    COMP1 -->|"evaluated on"| EVAL
    COMP2 -->|"evaluated on"| EVAL
    EVAL --> RESULTS
    RESULTS --> PARITY
    PARITY -.->|"flagged"| ASYM

    class METHOD cli;
    class COMP1,COMP2 phase;
    class EVAL handler;
    class RESULTS output;
    class PARITY detector;
    class ASYM gap;

Color Legend:

Asymmetry Register

Recommendations

1. {Most critical fairness fix — e.g., retune baseline with same budget}
2. {Version alignment or environment standardization needed}
3. {Additional comparator that should be included}

---

## Pre-Diagram Checklist

Before creating the diagram, verify:

- [ ] LOADED `/mermaid` skill using the Skill tool
- [ ] Using ONLY classDef styles from the mermaid skill (no invented colors)
- [ ] Diagram will include a color legend table

---

## Related Skills

- `/make-experiment-diag` - Parent skill for lens selection
- `/mermaid` - MUST BE LOADED before creating diagram
- `/exp-lens-estimand-clarity` - For clarifying what the comparison is measuring
- `/exp-lens-fair-comparison` - For deeper analysis of evaluation protocol fairness