Kaitlyn Phillipson

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20102019

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q-bio.NC2019

Classification of Open and Closed Convex Codes on Five Neurons

Sarah Ayman Goldrup, Kaitlyn Phillipson

Neural codes, represented as collections of binary strings, encode neural activity and show relationships among stimuli. Certain neurons, called place cells, have been shown experi…

math.AG2019

A Faster Solution to Smale's 17th Problem I: Real Binomial Systems

Grigoris Paouris, Kaitlyn Phillipson, J. Maurice Rojas

Suppose $F := (f_{1}, \dots, f_{n})$ is a system of random $n$ -variate polynomials with $f_{i}$ having degree $\leq d_{i}$ and the coefficient of $x_{1}^{a_{1}} \dots x_{n}^{a_{n}}$ in $f_{i}$ being a…