W. Gao, H. Zhu, K. Giovanello, K. Smith, D. Shen, J. Gilmore, and W. Lin Department of Biomedical Engineering, University of North Carolina-Chapel Hill, Chapel Hill, North Carolina, United States, Department of Biostatistics and BRIC, University of North Carolina-Chapel Hill, Department of Psychology and BRIC, University of North Carolina-Chapel Hill, Department of Radiology, University of Nort...

W. Gao, H. Zhu, K. Giovanello, K. Smith, D. Shen, J. Gilmore, and W. Lin Department of Biomedical Engineering, University of North Carolina-Chapel Hill, Chapel Hill, North Carolina, United States, Department of Biostatistics and BRIC, University of North Carolina-Chapel Hill, Department of Psychology and BRIC, University of North Carolina-Chapel Hill, Department of Radiology, University of Nort...

In this paper, the existence and orbital stability of periodic standing wave solutions for nonlinear fractional Schrödinger (fNLS) equation with cubic nonlinearity is studied. The determined by using a minimizing constrained problem in complex setting it showed that corresponding real solution always positive. proved combining some tools regarding oscillation theorem Hill operators Vakhitov-Kol...

The median-effect equation derived from the mass-action law principle at equilibrium-steady state via mathematical induction and deduction for different reaction sequences and mechanisms and different types of inhibition has been shown to be the unified theory for the Michaelis-Menten equation, Hill equation, Henderson-Hasselbalch equation, and Scatchard equation. It is shown that dose and effe...

We propose a simple and semi-parametric estimator for the tail index of a regular varying elliptical random vector. Since, for univariate random variables, our estimator boils down to the Hill estimator and it inherits the simplicity and asymptotic properties, we name it after Bruce M. Hill. The estimator is based on the distance between an elliptical probability contour and the outer – or exce...

Enforced hill-climbing is an effective deterministic hillclimbing technique that deals with local optima using breadth-first search (a process called “basin flooding”). We propose and evaluate a stochastic generalization of enforced hill-climbing for online use in goal-oriented probabilistic planning problems. We assume a provided heuristic function estimating expected cost to the goal with fla...

A great deal has been written, especially since the war, on off street parking. You have heard of the crying need for more off street parking in order to meet the needs of shoppers and thereby avoid a process of decentralization. Many parking authorities have been established and millions of dollars of public money invested in park­ ing facilities to provide space for all comers on a completely...

In this paper we investigate new approaches to dynamic-programming-based optimal control of continuous time-and-space systems. We use neural networks to approximate the solution to the Hamilton-Jacobi-Bellman (HJB) equation which is, in the deterministic case studied here, a rst-order, non-linear, partial diierential equation. We derive the gradient descent rule for integrating this equation in...

Vimal K. Derebail, JulieAnne G. McGregor, Romulo E. Colindres, Harsharan K. Singh and Abhijit V. Kshirsagar Division of Nephrology and Hypertension, Department of Medicine, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina, USA; UNC Kidney Center, Chapel Hill, North Carolina, USA and Department of Pathology and Laboratory Medicine, University of North Carolina at Chapel H...

In this paper we investigate new approaches to dynamic-programming-based optimal control of continuous time-and-space systems. We use neural networks to approximate the solution to the Hamilton-Jacobi-Bellman (HJB) equation which is, in the deterministic case studied here, a rst-order, non-linear, partial di erential equation. We derive the gradient descent rule for integrating this equation in...