Confidence-Ranked Reconstruction of Census Microdata from Published Statistics. (arXiv:2211.03128v1 [cs.CY])

A reconstruction attack on a private dataset $D$ takes as input some publicly
accessible information about the dataset and produces a list of candidate
elements of $D$. We introduce a new class of data reconstruction attacks based
on randomized methods for non-convex optimization. We empirically demonstrate
that our attacks can not only reconstruct full rows of $D$ from aggregate query
statistics $Q(D)\in \mathbb{R}^m$, but can do so in a way that reliably ranks
reconstructed rows by their odds of appearing …

arxiv census confidence statistics