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arXiv · 1905.07868

Error Exponent Bounds for the Bee-Identification Problem

Anshoo Tandon·Vincent Y. F. Tan·Lav R. Varshney
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Abstract

Consider the problem of identifying a massive number of bees, uniquely labeled with barcodes, using noisy measurements. We formally introduce this `bee-identification problem', define its error exponent, and derive efficiently computable upper and lower bounds for this exponent. We show that joint decoding of barcodes provides a significantly better exponent compared to separate decoding followed by permutation inference. For low rates, we prove that the lower bound on the bee-identification exponent obtained using typical random codes (TRC) is strictly better than the corresponding bound obtained using a random code ensemble (RCE). Further, as the rate approaches zero, we prove that the upper bound on the bee-identification exponent meets the lower bound obtained using TRC with joint barcode decoding.

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Anshoo Tandon, Vincent Y. F. Tan, Lav R. Varshney. 2019-05-20. Error Exponent Bounds for the Bee-Identification Problem. https://arxiv.org/abs/1905.07868

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