Reproduce “The Balanced Up-Down Walk” on OpenResearch
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About this paper
Hugo A. Akitaya, Sarah Cannon, Gregory Herschlag, Gabe Schoenbach, Kristopher Tapp, Jamie Tucker-Foltz
BUD samples connected districting plans by walking among spanning trees that can be cut into population-balanced districts. Each step adds an edge, then removes an edge from the resulting cycle only if the tree remains splittable. In six runs on a 4×4 grid, its observable error declined while Cycle Walk’s did not. This is empirical evidence, not a convergence proof.
Summary by alphaXiv.
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