THE DATA/IDENTITY TRADEOFF WITH CENSORED SENSORS

All practical sensing operations must work with quantized data. Along with measurements, each sensor is assumed to have some ?label? value that is relevant to its stochastic measurement parametrization and must be communicated to the decision center. We are interested in cases that require very low communication cost, and thus require very ?coarse? quantization of the measurements as well as the labels (2-bit values, for instance). Censoring is used to control the expected communication cost?each sensor decides locally whether or not to send its data to the decision center based on the value of its label as well as the value of its measurement. In this work we formalize the test statistic based on censored and quantized data.