8 citations · 10 across the 10 of their papers we have counts for
19 papers
Repetition effects in a Sequential Monte Carlo sampler
Sarah Cannon, Daryl DeFord, Moon Duchin
We investigate the prevalence of sample repetition in a Sequential Monte Carlo (SMC) method recently introduced for political redistricting.
Does the first-serving team have a structural advantage in pickleball?
Daryl R. DeFord, Stewart N. Ethier
In pickleball doubles with conventional side-out scoring, points are scored only by the serving team. The serve alternates during a game, with each team serving until it has faulte…
Maximum a Posteriori Inference of Random Dot Product Graphs via Conic Programming
David Wu, David R. Palmer, Daryl R. Deford
We present a convex cone program to infer the latent probability matrix of a random dot product graph (RDPG). The optimization problem maximizes the Bernoulli maximum likelihood fu…
Empirical Sampling of Connected Graph Partitions for Redistricting
Elle Najt, Daryl DeFord, Justin Solomon
The space of connected graph partitions underlies statistical models used as evidence in court cases and reform efforts that analyze political districting plans. In response to the…
Colorado in Context: Congressional Redistricting and Competing Fairness Criteria in Colorado
Jeanne Clelland, Haley Colgate, Daryl DeFord +2
In this paper, we apply techniques of ensemble analysis to understand the political baseline for Congressional representation in Colorado. We generate a large random sample of reas…
Implementing partisan symmetry: Problems and paradoxes
Daryl DeFord, Natasha Dhamankar, Moon Duchin +4
We consider the measures of partisan symmetry proposed for practical use in the political science literature, as clarified and developed in Katz, King, and Rosenblatt (2020). Eleme…
Medial Axis Isoperimetric Profiles
Paul Zhang, Daryl Deford, Justin Solomon
Recently proposed as a stable means of evaluating geometric compactness, the isoperimetric profile of a planar domain measures the minimum perimeter needed to inscribe a shape with…
Mathematics of Nested Districts: The Case of Alaska
Sophia Caldera, Daryl DeFord, Moon Duchin +2
In eight states, a "nesting rule" requires that each state Senate district be exactly composed of two adjacent state House districts. In this paper we investigate the potential imp…
A Computational Approach to Measuring Vote Elasticity and Competitiveness
Daryl DeFord, Moon Duchin, Justin Solomon
The recent wave of attention to partisan gerrymandering has come with a push to refine or replace the laws that govern political redistricting around the country. A common element…
Recombination: A family of Markov chains for redistricting
Daryl DeFord, Moon Duchin, Justin Solomon
Redistricting is the problem of partitioning a set of geographical units into a fixed number of districts, subject to a list of often-vague rules and priorities. In recent years, t…
Complexity and Geometry of Sampling Connected Graph Partitions
Elle Najt, Daryl DeFord, Justin Solomon
In this paper, we prove intractability results about sampling from the set of partitions of a planar graph into connected components. Our proofs are motivated by a technique introd…
On the Spectrum of Finite, Rooted Homogeneous Trees
Daryl R. DeFord, Daniel N. Rockmore
In this paper we study the adjacency spectrum of families of finite rooted trees with regular branching properties. In particular, we show that in the case of constant branching, t…
Total Variation Isoperimetric Profiles
Daryl DeFord, Hugo Lavenant, Zachary Schutzman +1
Applications such as political redistricting demand quantitative measures of geometric compactness to distinguish between simple and contorted shapes. While the isoperimetric quoti…
Random Walk Null Models for Time Series Data
Daryl DeFord, Katherine Moore
Permutation entropy has become a standard tool for time series analysis that exploits the temporal properties of these data sets. Many current applications use an approach based on…
The Computation of Fourier transforms on $SL_2(\mathbb{Z}/p^n\mathbb{Z}) and related numerical experiments
Benjamin K. Breen, Daryl R. Deford, Jason D. Linehan +1
We detail an explicit construction of ordinary irreducible representations for the family of finite groups for odd primes and . Fo…
Spectral Clustering Methods for Multiplex Networks
Daryl R. DeFord, Scott D. Pauls
Multiplex networks offer an important tool for the study of complex systems and extending techniques originally designed for single--layer networks is an important area of study. O…
A Random Dot Product Model for Weighted Networks
Daryl R. DeFord, Daniel N. Rockmore
This paper presents a generalization of the random dot product model for networks whose edge weights are drawn from a parametrized probability distribution. We focus on the case of…
A new framework for dynamical models on multiplex networks
Daryl R. DeFord, Scott D. Pauls
Many complex systems have natural representations as multi-layer networks. While these formulations retain more information than standard single-layer network models, there is not…
Cyclic groups with the same Hodge series
Daryl R. DeFord, Peter G. Doyle
The Hodge series of a finite matrix group is the generating function for invariant exterior forms of specified order and degree. Lauret, Miatello, and Rossetti gave examples of pai…