In this paper we study an imitation and transfer learning setting for Linear Quadratic Gaussian (LQG) control, where (i) the system dynamics, noise statistics cost function are unknown expert data is provided (that is, sequences of optimal inputs outputs) to learn LQG controller, (ii) multiple control tasks performed same but with different costs. We show that controller can be learned from a s...

For ??(0,2), the quantum disk and ?-quantum wedge are two of most natural types Liouville gravity (LQG) surfaces with boundary. These arise as scaling limits finite infinite random planar maps boundary, respectively. We show that left/right boundary length process a space-filling SLE16/?2 curve on or is certain explicit conditioned two-dimensional Brownian motion correlation ?cos(??2/4). This e...

To achieve high-resolution imaging the standard control algorithm used for classical adaptive optics (AO) is the simple but efficient proportional-integral (PI) controller. The goal is to minimize the rms error of the residual wave front. However, using the PI controller, it is not possible to do this. One possible way to minimize the rms error is to use linear quadratic Gaussian (LQG) control....

We use the mathematical framework of loop quantum gravity (LQG) to study the quantization of three dimensional (Riemannian) gravity with positive cosmological constant (Λ > 0). We show that the usual regularization techniques (successful in the Λ = 0 case and widely applied in four dimensional LQG) lead to a deformation of the classical constraint algebra (or anomaly) proportional to the local ...

We consider the solution of nonlinear optimal control problems subject to stochastic perturbations with incomplete observations. In particular , we generalize results obtained by Ito and Kunisch in [8] where they consider a receding horizon control (RHC) technique based on linearizing the problem on small intervals. The linear-quadratic optimal control problem for the resulting time-invariant (...

We examine optimal Linear Quadratic Gaussian control for a system in which communication between the sensor (output of the plant) and the controller occurs across a packet-dropping link. We extend the familiar LQG separation principle to this problem that allows us to solve this problem using a standard LQR state-feedback design, along with an optimal algorithm for propagating and using the inf...