15 citations · 43 across the 20 of their papers we have counts for
5 papers · 1 filter
On the deck groups of iterates of bicritical rational maps
Sarah Koch, Kathryn Lindsey, Thomas Sharland
Given a rational map on the Riemann sphere, we define to be the group of Möbius transformations satisfying $f \…
Bicritical rational maps with a common iterate
Sarah Koch, Kathryn Lindsey, Thomas Sharland
Let be a degree bicritical rational map with critical point set and critical value set . Using the group of deck transfo…
Functional dimension of feedforward ReLU neural networks
J. Elisenda Grigsby, Kathryn Lindsey, Robert Meyerhoff +1
It is well-known that the parameterized family of functions representable by fully-connected feedforward neural networks with ReLU activation function is precisely the class of pie…
Local and global topological complexity measures OF ReLU neural network functions
J. Elisenda Grigsby, Kathryn Lindsey, Marissa Masden
We apply a generalized piecewise-linear (PL) version of Morse theory due to Grunert-Kuhnel-Rote to define and study new local and global notions of topological complexity for fully…
Existence of maximum likelihood estimates in exponential random graph models
Henry Bayly, Aditya Khanna, Kathryn Lindsey
We present a streamlined proof of the foundational result in the theory of exponential random graph models (ERGMs) that the maximum likelihood estimate exists if and only if the ta…