activity
20142026
most citedThe Spherical Cap Discrepancy of HEALPix Points

2 citations · 3 across the 7 of their papers we have counts for

collaborators

7 papers

stat.ME2026

A theory of ROC analysis of rule-out and rule-in diagnostics with applications to mammography data

Michelle Mastrianni, Kwok Lung Fan, Yee Lam Elim Thompson +7

Multiple diagnostic tests are frequently used to determine the presence of a disease condition in patients. In this paper, we use bivariate copulas to examine the properties of rec…

math.NA2025

A Quantitative Framework to Predict Wait-Time Impacts Due to AI-Triage Devices in a Multi-AI, Multi-Disease Workflow

Michelle Mastrianni, Rucha Deshpande, Frank W. Samuelson +1

The deployment of multiple AI-triage devices in radiology departments has grown rapidly, yet the cumulative impact on patient wait-times across different disease conditions remains…

math.CA2023

Single radius spherical cap discrepancy via gegenbadly approximable numbers

Dmitriy Bilyk, Michelle Mastrianni, Stefan Steinerberger

A celebrated result of Beck shows that for any set of points on there always exists a spherical cap such that number of points in the ca…

math.CA2023

Polarization and Greedy Energy on the Sphere

Dmitriy Bilyk, Michelle Mastrianni, Ryan W. Matzke +1

We investigate the behavior of a greedy sequence on the sphere defined so that at each step the point that minimizes the Riesz -energy is added to the existing se…

math.CA2022

Lower bounds for the directional discrepancy with respect to an interval of rotations

Dmitriy Bilyk, Michelle Mastrianni

We show that the lower bound for the optimal directional discrepancy with respect to the class of rectangles in rotated in a restricted interval of directions $[-θ,…

math.NA2022★ 2 cited

The Spherical Cap Discrepancy of HEALPix Points

Damir Ferizović, Julian Hofstadler, Michelle Mastrianni

In this paper we show that the spherical cap discrepancy of the point set given by centers of pixels in the HEALPix tessellation (short for Hierarchical, Equal Area and iso-Latitud…

math.CO2014★ 1 cited

K-Knuth Equivalence for Increasing Tableaux

Christian Gaetz, Michelle Mastrianni, Rebecca Patrias +4

A K-theoretic analogue of RSK insertion and Knuth equivalence relations was first introduced in 2006 by Buch, Kresch, Shimozono, Tamvakis, and Yong. The resulting K-Knuth equivalen…