Ensemble Consensus Mathematics & Variance Adjustment Equations
Combining outputs from independent AI classifiers reduces single-model variance and provides a balanced statistical consensus:
1. Arithmetic Ensemble Mean & Spread Equations
Ensemble Mean μ =
∑_{i=1}^N S_iN
, Spread Δ = max(S_i) - min(S_i)2. Uncertainty-Adjusted Risk Index Formula
R_{adj} = min(100, μ + 0.10 × Δ)
Step-by-Step Consensus & Risk Computation Breakdown
Step 1: Input Validation & Boundary Clamping
Filter valid scores in the range [0%, 100%].
Step 2: Dispersion Range & Variance Scaling
Calculate dispersion spread Δ = (Max - Min) and apply 10% penalty weighting.
Step 3: Adjusted Risk Index & Categorization
Ensemble Risk=45.0% (Moderate / Mixed Signals)
AI Detector Benchmark Thresholds & Interpretation
| Consensus Range | Risk Classification | Recommended Action |
|---|---|---|
| 0% – 34% | Likely Human-Written | Ready for submission / publication |
| 35% – 69% | Mixed / Disputed Signals | Manually revise repetitive sentences & passive voice |
| 70% – 100% | High AI Probability | Substantial rewriting required to meet human baseline |