Gregory Naitzat

activity

20152020

most citedTopology of deep neural networks

6 citations · 6 across the 2 of their papers we have counts for

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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 $M = M_{a} \cup M_{b} \subseteq R^{d}$ , representing two classes $a$ and $b$ 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…