13 citations · 14 across the 2 of their papers we have counts for
4 papers
Inducing Social Optimality in Games via Adaptive Incentive Design
Chinmay Maheshwari, Kshitij Kulkarni, Manxi Wu +1
How can a social planner adaptively incentivize selfish agents who are learning in a strategic environment to induce a socially optimal outcome in the long run? We propose a two-ti…
Persistency of Excitation for Robustness of Neural Networks
Kamil Nar, S. Shankar Sastry
When an online learning algorithm is used to estimate the unknown parameters of a model, the signals interacting with the parameter estimates should not decay too quickly for the o…
Step Size Matters in Deep Learning
Kamil Nar, S. Shankar Sastry
Training a neural network with the gradient descent algorithm gives rise to a discrete-time nonlinear dynamical system. Consequently, behaviors that are typically observed in these…
Residual Networks: Lyapunov Stability and Convex Decomposition
Kamil Nar, Shankar Sastry
While training error of most deep neural networks degrades as the depth of the network increases, residual networks appear to be an exception. We show that the main reason for this…