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cs.DS2026
An -time FPRAS for the Permanent
Xiaoyu Chen, Heng Guo, Eric Vigoda +1
We give an FPRAS for the permanent of an matrix with running time . Our algorithm extends to a strongly polynomial FPRAS for arbitrary nonnegat…
cs.DS2024★ 1 cited
Deterministic counting from coupling independence
Xiaoyu Chen, Weiming Feng, Heng Guo +2
We show that spin systems with bounded degrees and coupling independence admit fully polynomial time approximation schemes (FPTAS). We design a new recursive deterministic counting…
cs.DS2024
Rapid Mixing via Coupling Independence for Spin Systems with Unbounded Degree
Xiaoyu Chen, Weiming Feng
We develop a new framework to prove the mixing or relaxation time for the Glauber dynamics on spin systems with unbounded degree. It works for general spin systems including both $…