What does a too-clean sensor twin do to a mapper's commit error?
research/occupancy-twin
What a too-clean sensor twin does to a mapper's commit error: exact real error via the Lundberg exponent (false-hit 0.05 twin vs 0.15 real turns 1e-3 into 1.45e-2, 14.5×), tempering restores the target at 1.4–16× latency, and the exponent needs several hundred real samples to estimate.
What it found
A grid cell committed when log-odds built with a twin's sensor model reach ±A has, under the real sensor, an exact error set by the Lundberg exponent θ* (equal to 1 for a correct twin) with a rigorous optional-stopping sandwich. A twin whose free-space false-hit rate is 0.05 against a real 0.15 turns a 10−3 design into 1.45×10−2 (14.5×, matched by simulation; 260× at 0.30), and an optimistic occupied hit rate (0.8 vs 0.6) gives 26×. Committing at ln(1/ε)/θ* restores the target at 1.4–16× the latency, and the real-data estimate of θ* needs several hundred known-free observations before the tempered mapper stops exceeding target in over a quarter of maps. Stylised: one independent-beam cell.
A figure from its own output
Paper, code 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.