How many false wakes a day does an always-on trigger get when its frame scores are correlated, and what does requiring m frames in a row buy?

What it found

A stylised new question for track 2. A trigger fires after m consecutive 10 ms frames at or above a threshold, on Gaussian AR(1) background scores. Setting the threshold so that P^m = 1 per day (independent frames) is nearly right for m = 1 (0.78 wakes a day at φ = 0.9) but wrong and unsafe for m ≥ 2: at φ = 0.9 it gives 613, 4,793 and 20,993 wakes a day for m = 2, 3, 5. Exact rates from a grid Markov chain match Monte Carlo (largest |z| 1.69), and the threshold that really gives one a day is 2.0–2.5 sd higher. The score is a model, not a real wake-word detector, and no audio was used. Stylised.

A figure from its own output

Paper, code and results

• README and method
• Experiments and results
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Produced with AI assistance (Claude). Results are from the code in this repository and are simulated or stylised unless the abstract says otherwise; nothing here implies affiliation with or endorsement by any lab, researcher or company cited. MIT licensed.