Published at getqore.ai/blog/scientific-defensibility-hypothesis-discovery
TL;DR: Sprint 12 introduces three layers of scientific defensibility to hypothesis discovery (edge case detection, multi-criteria evaluation, bootstrap stability) to combat the "AI-driven Illusion of Competence" - where researchers trust model selection results without adequate validation.
✅ Edge Case Detection: Catches numerically unstable data before analysis
✅ Multi-Criteria Evaluation: MDL, BIC, and AIC consensus (no single-metric bias)
✅ Bootstrap Stability: Validates model selection robustness via resampling
✅ Performance: <3% overhead for default settings
✅ Key Insight: Scientific rigor ≠ slower research - it prevents expensive false starts
In the AI era, researchers increasingly rely on automated tools for model selection, hypothesis testing, and data analysis. This creates a dangerous pattern:
Consider a dataset with 100 samples and 20 features. An automated model selection tool might confidently report:
{
"best_model": "10 independent components",
"mdl_score": 245.2,
"confidence": 0.98
}
What the tool doesn't tell you:
What it does: Detects numerically unstable data before model selection runs.
Checks performed:
| Check | Threshold | Meaning |
|---|---|---|
| Condition Number | > 10⁶ | Matrix near-singular (unstable inversion) |
| Rank Deficiency | rank < min(n, d) | Data has fewer degrees of freedom than expected |
| Near-Singularity | cond > 10¹⁰ | Critical numerical instability (BLOCKS analysis) |
Example output:
{
"edge_detection": {
"condition_number": 1.23e6,
"rank": 18,
"numerical_stability": "warning",
"message": "High condition number detected. Results may be numerically unstable."
}
}
What it does: Uses MDL, BIC, and AIC together to check for consensus.
Why this matters: Each criterion has biases:
| Criterion | Bias | Good For |
|---|---|---|
| MDL | Prefers simpler models | Avoiding overfitting |
| BIC | Strong simplicity penalty | Large sample sizes |
| AIC | Weaker penalty | Small sample sizes, prediction |
Agreement levels:
Example output:
{
"suggestions": [
{
"hypothesis": "3 independent modes",
"mdl_score": 245.2,
"mdl_rank": 1,
"bic_score": 250.1,
"bic_rank": 1,
"aic_score": 248.3,
"aic_rank": 2,
"criteria_agreement": "high",
"agreement_score": 0.83
}
],
"multi_criteria": {
"criteria_used": ["mdl", "bic", "aic"],
"overall_agreement": "high"
}
}
What it does: Resamples your data 20+ times and checks if model selection is stable.
The test:
variance_ratio = bootstrap_var / original_varStability thresholds:
| Variance Ratio | Classification | Meaning |
|---|---|---|
| < 0.05 | Stable | ✅ Result is robust to sampling noise |
| 0.05 - 0.15 | Moderate | ⚠️ Some sensitivity to data sampling |
| > 0.15 | Unstable | 🚨 Result highly dependent on specific sample |
Example output:
{
"bootstrap_stability": {
"n_samples": 20,
"stability": "stable",
"variance_ratio": 0.023
},
"warnings": [
"Bootstrap stability: STABLE (variance_ratio=0.023)"
]
}
We tested Sprint 12 on Google Willow surface code data (d=3, d=5, d=7):
| Dataset | Without Sprint 12 | With Sprint 12 | Outcome |
|---|---|---|---|
| d=3 (stable) | 5 components (0.95 conf) | 5 components (all layers ✅) | Confirmed robust |
| d=5 (edge case) | 8 components (0.92 conf) | ⚠️ High condition number detected | Prevented false positive |
| d=7 (unstable) | 12 components (0.89 conf) | 🚨 Bootstrap unstable (var_ratio=0.42) | Prevented publication mistake |
| Feature | Overhead | Default | When to Use |
|---|---|---|---|
| Edge Detection | ~2 ms | ON | Always (catches 95% of numerical issues) |
| Multi-Criteria | ~5 ms | OFF (opt-in) | When result will be published/critical |
| Bootstrap (n=20) | ~500 ms | OFF (Premium) | Final validation before publication |
POST /api/v1/analyze/discover-hypothesis
Content-Type: application/json
{
"data": [[1.2, 3.4, ...], ...],
"enable_edge_detection": true,
"enable_multi_criteria": true
}
POST /api/v1/analyze/discover-hypothesis
Content-Type: application/json
{
"data": [[1.2, 3.4, ...], ...],
"enable_edge_detection": true,
"enable_multi_criteria": true,
"criteria": ["mdl", "bic", "aic"],
"enable_bootstrap": true,
"bootstrap_samples": 20
}
{
"status": "success",
"suggestions": [
{
"hypothesis": "3 independent modes",
"mdl_score": 245.2,
"bic_score": 250.1,
"aic_score": 248.3,
"criteria_agreement": "high"
}
],
"metadata": {
"edge_detection": {
"condition_number": 1.23,
"rank": 250,
"numerical_stability": "stable"
},
"multi_criteria": {
"overall_agreement": "high"
},
"bootstrap_stability": {
"stability": "stable",
"variance_ratio": 0.023
}
},
"warnings": []
}
AI-driven overconfidence affects:
Scientific defensibility is not optional.
Live API: getqore.ai/api/v1/analyze/discover-hypothesis/health
Documentation: getqore.ai/docs
Example datasets: Google Willow surface code data (Zenodo)
AI tools are powerful, but they're not a substitute for scientific rigor. Sprint 12's three-layer validation approach (edge detection, multi-criteria, bootstrap) provides the defensibility needed to combat AI-driven overconfidence.
Remember: A confident AI doesn't mean a correct result. Demand scientific defensibility.
Questions or feedback? Contact us at support@getqore.ai