Controlled Recognition Bounds for Scaling and Occlusion Channels

Summary form only given. In this article the simplest task (binary decision) for channels subject to scaling and occlusion phenomena, ubiquitous in remote sensing and imaging data is discussed. In order to extend Rate-Distortion theory, the tradeoff between decision performance (expected risk) and resources ("rate") is characterized. In the presence of scaling and occlusions, in order to trade off the expected risk, it is necessary to exercise control on the sensing process. Thus the natural generalization of "rate" is not the volume of the data provided by the sensor, but the amount of control authority that can be exercised on it, measured by the volume of the reachable set and the energy of the input.