Exact-metric Metropolis-adjusted Dikin walks can be analyzed by keeping the proposal determinant and reverse quadratic form together, with their leading uncentered terms canceling in the logarithmic acceptance ratio

We analyze exact-metric, Metropolis-adjusted Dikin walks by keeping the proposal determinant and reverse quadratic form together. Their leading uncentered terms cancel in the complete logarithmic acceptance ratio, leaving centered fluctuations that can be controlled with second-order tools.

http://arxiv.org/abs/2608.25273v1