6 citations · 6 across the 2 of their papers we have counts for
3 papers
cs.LG2020★ 6 cited
Topology of deep neural networks
Gregory Naitzat, Andrey Zhitnikov, Lek-Heng Lim
We study how the topology of a data set , representing two classes and in a binary classification problem, changes as it passes thr…
cs.LG2018
Tropical Geometry of Deep Neural Networks
Liwen Zhang, Gregory Naitzat, Lek-Heng Lim
We establish, for the first time, connections between feedforward neural networks with ReLU activation and tropical geometry --- we show that the family of such neural networks is…
math.PR2015
A central limit theorem for the Euler integral of a Gaussian random field
Gregory Naitzat, Robert J. Adler
Euler integrals of deterministic functions have recently been shown to have a wide variety of possible applications, including in signal processing, data aggregation and network se…