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We study a class of distributed hypothesis testing against conditionalindependence problems. Under the criterion that stipulates minimization of theType II error rate subject to a (constant) upper bound $\epsilon$ on the Type Ierror rate, we characterize the set of encoding rates and exponent for bothdiscrete memoryless and memoryless vector Gaussian settings.

Optimal Rate-Exponent Region for a Class of Hypothesis Testing Against Conditional Independence Problems