90 citations · 1.1k across the 68 of their papers we have counts for
4 papers · 1 filter
The loss surface of deep linear networks viewed through the algebraic geometry lens
Dhagash Mehta, Tianran Chen, Tingting Tang +1
By using the viewpoint of modern computational algebraic geometry, we explore properties of the optimization landscapes of the deep linear neural network models. After clarifying o…
Towards Robust Deep Neural Networks
Timothy E. Wang, Yiming Gu, Dhagash Mehta +2
We investigate the topics of sensitivity and robustness in feedforward and convolutional neural networks. Combining energy landscape techniques developed in computational chemistry…
The Loss Surface of XOR Artificial Neural Networks
Dhagash Mehta, Xiaojun Zhao, Edgar A. Bernal +1
Training an artificial neural network involves an optimization process over the landscape defined by the cost (loss) as a function of the network parameters. We explore these lands…
Optimal Configurations in Coverage Control with Polynomial Costs
Shaunak D. Bopardikar, Dhagash Mehta, Jonathan D. Hauenstein
We revisit the static coverage control problem for placement of vehicles with simple motion on the real line, under the assumption that the cost is a polynomial function of the loc…