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Jing Wang

  1. The Subelliptic Heat Kernel on the CR hyperbolic spaces.

    Wed, 04/18/2012 - 15:01 — SomNambul
    Authors: Jing Wang
    Subjects: Analysis of PDEs
    Abstract

    We study the heat kernel of the sub-Laplacian on the CR hyperbolic space
    H2n+1and on its universal covering H`2n+1. We work in cylindrical coordinates
    that reflects the symmetries coming from the fibration H2n+1 \rightarrow CHn,
    and derive an explicit and geometrically meaningful formula for the subelliptic
    heat kernel. As a by-product we obtain the small-time asymptotics of the heat
    kernel, as well as an explicit formula for the sub-Riemannian distance.

  2. Temporal Logic Motion Control using Actor-Critic Methods.

    Mon, 02/13/2012 - 15:01 — SomNambul
    Authors: Jing Wang, Xu Chu Ding, Morteza Lahijanian, Calin A. Belta, Ioannis Ch. Paschalidis
    Subjects: Robotics
    Abstract

    In this paper, we consider the problem of deploying a robot from a
    specification given as a temporal logic statement about some properties
    satisfied by the regions of a large, partitioned environment. We assume that
    the robot has noisy sensors and actuators and model its motion through the
    regions of the environment as a Markov Decision Process (MDP). The robot
    control problem becomes finding the control policy maximizing the probability
    of satisfying the temporal logic task on the MDP.

  3. Least Squares Temporal Difference Actor-Critic Methods with Applications to Robot Motion Control.

    Thu, 08/25/2011 - 15:01 — SomNambul
    Authors: Jing Wang, Xu Chu Ding, Reza Moazzez Estanjini, Morteza Lahijanian, Calin A. Belta, Ioannis Ch. Paschalidis
    Subjects: Robotics
    Abstract

    We consider the problem of finding a control policy for a Markov Decision
    Process (MDP) to maximize the probability of reaching some states while
    avoiding some other states. This problem is motivated by applications in
    robotics, where such problems naturally arise when probabilistic models of
    robot motion are required to satisfy temporal logic task specifications. We
    transform this problem into a Stochastic Shortest Path (SSP) problem and
    develop a new approximate dynamic programming algorithm to solve it.

  4. Spectrum Sharing between Cooperative Relay and Ad-hoc Networks: Dynamic Spectrum Access, Resource Allocation and Real-time Implementation.

    Tue, 06/07/2011 - 15:01 — SomNambul
    Authors: Jing Wang, Yin Sun, Shidong Zhou, Xiaofeng Zhong, Tsung-Hui Chang, Chong-Yung Chi
    Subjects: Information Theory
    Abstract

    This paper studies the spectrum sharing problem between a cooperative relay
    network (CRN) and a nearby ad-hoc network that operates over the same spectral
    band. In the uplink CRN transmission, both the source node and relay node can
    interfere with the ad-hoc links. By virtue of that the CRN can predict the
    ad-hoc traffic through spectrum sensing, we optimize the spectrum access and
    resource allocation strategy of the CRN such that the average traffic collision
    time between the two networks can be minimized while maintaining a required
    uplink throughput for the CRN.

  5. Functional linear regression that's interpretable.

    Fri, 08/21/2009 - 19:51 — SomNambul
    Authors: Gareth M. James, Jing Wang, Ji Zhu
    Subjects: gr. Statistics
    Abstract

    Regression models to relate a scalar $Y$ to a functional predictor $X(t)$ are
    becoming increasingly common. Work in this area has concentrated on estimating
    a coefficient function, $\beta(t)$, with $Y$ related to $X(t)$ through
    $\int\beta(t)X(t) dt$. Regions where $\beta(t)\ne0$ correspond to places where
    there is a relationship between $X(t)$ and $Y$. Alternatively, points where
    $\beta(t)=0$ indicate no relationship.

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