From Stochastic to Stable: Rank Stability and Structural Sufficiency in AI Visibility Measurement

arXiv:2607.10341 · stat.AP, cs.AI, cs.IR · Submitted 2026-07-11 · Read on arXiv

stat.AP, cs.AI, cs.IR

Submitted: 2026-07-11

Updated: 2026-08-26

Terminology

• Perplexity — 87× in this paper · explained in 3 episodes
• Clustering — 11× in this paper · explained in 2 episodes
• Benchmark — 3× in this paper · explained in 2 episodes
• Calibration — 2× in this paper · explained in 7 episodes
• Fidelity — 2× in this paper · explained in 2 episodes
• Arbiter — 1× in this paper · explained in 1 episode
• Consistency — 1× in this paper · explained in 3 episodes
• Core — 1× in this paper · explained in 2 episodes
• Failure Modes — 1× in this paper · explained in 3 episodes
• Generalizability — 1× in this paper · explained in 6 episodes
• Generative AI — 1× in this paper · explained in 2 episodes
• Non-stationarity — 1× in this paper · explained in 2 episodes
• Quantifying Uncertainty — 1× in this paper · explained in 5 episodes
• Uncertainty Quantification — 1× in this paper · explained in 8 episodes

Sources

• Quantifying Uncertainty in AI Visibility: A Statistical Framework for Generative Search Measurement
• Source Coverage and Citation Bias in LLM-based vs. Traditional Search Engines

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