Function Computation Under Privacy, Secrecy, Distortion, and Communication Constraints. (arXiv:2201.03948v3 [cs.IT] UPDATED)

The problem of reliable function computation is extended by imposing privacy,
secrecy, and storage constraints on a remote source whose noisy measurements
are observed by multiple parties. The main additions to the classic function
computation problem include 1) privacy leakage to an eavesdropper is measured
with respect to the remote source rather than the transmitting terminals'
observed sequences; 2) the information leakage to a fusion center with respect
to the remote source is considered as a new privacy leakage metric; …

communication computation constraints privacy secrecy under