54 citations · 197 across the 28 of their papers we have counts for
Showing 2016Show all
3 papers · 1 filter
stat.ML2016★ 3 cited
A Novel Representation of Neural Networks
Anthony Caterini, Dong Eui Chang
Deep Neural Networks (DNNs) have become very popular for prediction in many areas. Their strength is in representation with a high number of parameters that are commonly learned vi…
stat.ML2016★ 6 cited
A Geometric Framework for Convolutional Neural Networks
Anthony L. Caterini, Dong Eui Chang
In this paper, a geometric framework for neural networks is proposed. This framework uses the inner product space structure underlying the parameter set to perform gradient descent…
math.NA2016★ 16 cited
Feedback Integrators
Dong Eui Chang, Fernando Jimenez, Matthew Perlmutter
A new method is proposed to numerically integrate a dynamical system on a manifold such that the trajectory stably remains on the manifold and preserves first integrals of the syst…