172 citations · 299 across the 24 of their papers we have counts for
25 papers
On Integral Linear Constraints on Convex Cones
Emil Vladu, Alexandre Megretski, Anders Rantzer
In this paper, we consider integral linear constraints and the dissipation inequality with linear supply rates for certain sets of trajectories confined pointwise in time to a conv…
Global Well-posedness for the periodic fractional cubic NLS in 1D
Alexandre Megretski, Nikolaos Skouloudis
We consider the defocusing periodic fractional nonlinear Schrödinger equation where and the oper…
React to Surprises: Stable-by-Design Neural Feedback Control and the Youla-REN
Nicholas H. Barbara, Ruigang Wang, Alexandre Megretski +1
We study parameterizations of stabilizing nonlinear policies for learning-based control. We propose a structure based on a nonlinear version of the Youla-Kucera parameterization co…
One step closer to unbiased aleatoric uncertainty estimation
Wang Zhang, Ziwen Ma, Subhro Das +4
Neural networks are powerful tools in various applications, and quantifying their uncertainty is crucial for reliable decision-making. In the deep learning field, the uncertainties…
ConCerNet: A Contrastive Learning Based Framework for Automated Conservation Law Discovery and Trustworthy Dynamical System Prediction
Wang Zhang, Tsui-Wei Weng, Subhro Das +3
Deep neural networks (DNN) have shown great capacity of modeling a dynamical system; nevertheless, they usually do not obey physics constraints such as conservation laws. This pape…
Mathematical certification of motion planning on uncertain terrain with limited perception: a case study
Nikolaos Skouloudis, Alexandre Megretski
We design a controller for an agent whose mission is to reach a stationary target while avoiding a family of obstacles which are not known a-priori. The agent moves in the two dime…