cs.DS · 2026-08-31 · No. 101
Data Structures and Algorithms, 2026-08-31.
1 new papers in cs.DS. Titles, authors,
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01 — The papers
1 entries-
01
On two proofs of $d^2$ mixing of weighted Dikin walks
Yuansi Chen, Yunbum Kook
cs.DS · cs.LG · math.OC · math.PR · stat.CO
We study the mixing time of weighted Dikin walks for sampling from exponential distributions on polytopes and truncated positive-semidefinite (PSD) cones. Our first result gives a general total-variation mixing bound under strong self-concordance, $\barν$-symmetry, and mixed-trace regularity on the local metric. The key idea is to control the Metropolis--Hastings acceptance probability on a high-probability region rather than at every point....
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