Large deviation analysis of the CPD detection problem based on random tensor theory
Large deviation analysis of the CPD detection problem based on random tensor theory
The performance in terms of minimal Bayes' error probability for detection of a random tensor is a fundamental understudied difficult problem. In this work, we assume that we observe under the alternative hypothesis a noisy rank-ñ tensor admitting a Q-order Canonical Polyadic Decomposition (CPD) with large factors of size N …