The model-driven power allocation (PA) algorithms in the wireless cellular networks with interfering multiple-access channel (IMAC) have been investigated for decades. Nowadays, the data-driven model-free machine learning-based approaches are rapidly...

Document(s)

Title

Let $L$ be a non-negative self-adjoint operator acting on $L^2(X)$ where $X$ is a space of homogeneous type with the upper dimension $n$. Suppose that the heat operator $e^{-tL}$ satisfies the generalized Gaussian $(p_0, p'_0)$-estimates of order $m$...

We consider exclusion processes on a rooted $d$-regular tree. We start from a Bernoulli product measure conditioned on having a particle at the root, which we call the tagged particle. For $d\geq 3$, we show that the tagged particle has positive line...

Jitter is a crucial error source that undermines the geometric and radiometric performance of satellite imagery.In order to enhance the feasibility and trust of retrieving jitter from imagery,this paper proposes an intelligent jitter detection method...

In this paper, we introduce the notion of impulsive asymptotically almost periodic functions and prove some basic properties of such functions. Then, we discuss the existence and exponential stability of positive asymptotically almost periodic soluti...

In order to overcome the disadvantage of traditional tomography method which only uses the signals passing from the top boundary of research area for reconstructing of three-dimensional water vapor information,a novel method is proposed which improve...

By using the critical point theory, we establish some existence criteria to guarantee that the nonlinear difference equation has at least one homoclinic solution, where , and is non periodic in . Our conditions on the nonlinear term are rather relaxe...

In this work we study convergence properties of sparse polynomial approximations for a class of affine parametric saddle point problems. Such problems can be found in many computational science and engineering fields, including the Stokes equations f...

In this work we develop a Hessian-based sampling method for the construction of goal-oriented reduced order models with high-dimensional parameter inputs. Model reduction is known very challenging for high-dimensional parametric problems whose soluti...

This paper is concerned with the Lindeberg's method associated with a (possibly) asymmetric $\alpha$-stable distribution $Y$, in dimension one and $\alpha\in(0,2)$. We use Taylor-like expansion and Dynkin's formula of stable process to extend the Lin...