10 citations · 14 across the 3 of their papers we have counts for
3 papers
stat.ML2018★ 1 cited
Knots in random neural networks
Kevin K. Chen, Anthony C. Gamst, Alden K. Walker
The weights of a neural network are typically initialized at random, and one can think of the functions produced by such a network as having been generated by a prior over some fun…
stat.ML2016★ 10 cited
The Upper Bound on Knots in Neural Networks
Kevin K. Chen
Neural networks with rectified linear unit activations are essentially multivariate linear splines. As such, one of many ways to measure the "complexity" or "expressivity" of a neu…
stat.ML2016★ 3 cited
The empirical size of trained neural networks
Kevin K. Chen, Anthony Gamst, Alden Walker
ReLU neural networks define piecewise linear functions of their inputs. However, initializing and training a neural network is very different from fitting a linear spline. In this…