42 citations · 44 across the 5 of their papers we have counts for
4 papers
Global Optimality of Elman-type RNN in the Mean-Field Regime
Andrea Agazzi, Jianfeng Lu, Sayan Mukherjee
We analyze Elman-type Recurrent Reural Networks (RNNs) and their training in the mean-field regime. Specifically, we show convergence of gradient descent training dynamics of the R…
A homotopic approach to policy gradients for linear quadratic regulators with nonlinear controls
Craig Xu Chen, Andrea Agazzi
We study the convergence of deterministic policy gradient algorithms in continuous state and action space for the prototypical Linear Quadratic Regulator (LQR) problem when the sea…
Diffusion Fingerprints
Jimmy Dubuisson, Jean-Pierre Eckmann, Andrea Agazzi
We introduce, test and discuss a method for classifying and clustering data modeled as directed graphs. The idea is to start diffusion processes from any subset of a data collectio…
The Colored Hofstadter Butterfly for the Honeycomb Lattice
Andrea Agazzi, Jean-Pierre Eckmann, Gian Michele Graf
We rely on a recent method for determining edge spectra and we use it to compute the Chern numbers for Hofstadter models on the honeycomb lattice having rational magnetic flux per…