Institution profile

College of the Holy Cross

Academic institutionnorthamerica · us
Official website
Research library3linked papers
Opportunities0open roles
Selected work

Representative Papers

Using Persistent Homology to Analyze Access to Heterogeneous-Quality Resources and Heterogeneous-Severity Nuisances

Sep 28, 2026

This study addresses the analytical challenges in coverage assessment arising from the spatial heterogeneity of geographic resource quality and hazard severity by proposing a topological data analysis framework based on multiparameter persistent homology. Overcoming the limitations of conventional single-parameter approaches, this work designs a computationally efficient multiparameter approximation algorithm that enables quantitative evaluation of resource accessibility and hazard exposure under arbitrary quality criteria. Applied to a Chicago case study, the proposed method successfully identifies disparities in park accessibility as well as clusters of overexposure to facilities such as landfills and bars. By effectively capturing complex spatial dependencies, this framework establishes a new paradigm for assessing urban environmental equity.

0 citationsRead paper

The No-show Paradox in Single Transferable Vote under One-dimensional Preferences

Jun 10, 2026

This study investigates the Group No-Show Paradox (GNSP) under Single Transferable Vote (STV)—a phenomenon wherein the abstention of a subset of voters results in an outcome more preferred by the remaining electorate—within widely adopted one-dimensional preference domains, including 1D-Euclidean, single-peaked, and single-crossing structures. Through theoretical analysis and synthetic data experiments, the work demonstrates for the first time that STV is highly susceptible to GNSP in these settings, with paradox occurrence significantly amplified when voters holding extreme positions abstain and escalating sharply as the number of candidates increases. In contrast, Condorcet-consistent rules exhibit no such vulnerability under identical conditions. The study further establishes verifiable sufficient conditions for GNSP to arise, underscoring the inherent instability of STV in one-dimensional preference environments.

0 citationsRead paper
Recent publications

Latest Papers

Using Persistent Homology to Analyze Access to Heterogeneous-Quality Resources and Heterogeneous-Severity Nuisances

Sep 28, 2026

This study addresses the analytical challenges in coverage assessment arising from the spatial heterogeneity of geographic resource quality and hazard severity by proposing a topological data analysis framework based on multiparameter persistent homology. Overcoming the limitations of conventional single-parameter approaches, this work designs a computationally efficient multiparameter approximation algorithm that enables quantitative evaluation of resource accessibility and hazard exposure under arbitrary quality criteria. Applied to a Chicago case study, the proposed method successfully identifies disparities in park accessibility as well as clusters of overexposure to facilities such as landfills and bars. By effectively capturing complex spatial dependencies, this framework establishes a new paradigm for assessing urban environmental equity.

0 citationsRead paper

The No-show Paradox in Single Transferable Vote under One-dimensional Preferences

Jun 10, 2026

This study investigates the Group No-Show Paradox (GNSP) under Single Transferable Vote (STV)—a phenomenon wherein the abstention of a subset of voters results in an outcome more preferred by the remaining electorate—within widely adopted one-dimensional preference domains, including 1D-Euclidean, single-peaked, and single-crossing structures. Through theoretical analysis and synthetic data experiments, the work demonstrates for the first time that STV is highly susceptible to GNSP in these settings, with paradox occurrence significantly amplified when voters holding extreme positions abstain and escalating sharply as the number of candidates increases. In contrast, Condorcet-consistent rules exhibit no such vulnerability under identical conditions. The study further establishes verifiable sufficient conditions for GNSP to arise, underscoring the inherent instability of STV in one-dimensional preference environments.

0 citationsRead paper