4 papers
The Balanced Up-Down Walk
Hugo A. Akitaya, Sarah Cannon, Gregory Herschlag +3
Markov chains based on spanning trees have been hugely influential in algorithms for assessing fairness in political redistricting. The input graph represents the geographic buildi…
Metric geometry for ranking-based voting: Tools for learning electoral structure
Moon Duchin, Kristopher Tapp
In this paper, we develop the metric geometry of ranking statistics, proving that the two major permutation distances in the statistics literature -- Kendall tau and Spearman footr…
Parameter Effects in ReCom Ensembles
Kristopher Tapp, Todd Proebsting, Alec Ramsay
Ensemble analysis has become central to redistricting litigation, but parameter effects remain understudied. We analyze 315 ReCom ensembles across the three legislative chambers in…
Revisiting Compactness for District Plans
Kristopher Tapp
Modern sampling methods create ensembles of district maps that score well on discrete compactness scores, whereas the Polsby-Popper and other shape-based scores remain highly relev…