The fidelity of surrogate models remains one of the primary concerns in their application to represent complex system behavior. Appropriate sampling of training points is one of the primary factors affecting the fidelity of surrogate models. This paper investigates the relative advantage of probability-based uniform sampling over distance-based uniform sampling, in training surrogate models who...

Ah&act-If a point is picked at random inside a regular simplex, octahedron, 600-cell, or other polytope, what is its average squared distance from the centroid? In n-dimensional space, what is the average squared distance of a random point from the closest point of the lattice A, (or D,, , En, A: or D,*)? The answers are given here, together with a description of the Voronoi (or nearest neighbo...

Recently, Hua et al. defined a new topological index based on degrees and inverse of distances between all pairs of vertices. They named this new graph invariant as reciprocal degree distance as 1 { , } ( ) ( ( ) ( ))[ ( , )] RDD(G) = u v V G d u  d v d u v , where the d(u,v) denotes the distance between vertices u and v. In this paper, we compute this topological index for Grassmann graphs.

INTRODUCTION Despite the efficacy and tolerability of modern antiretroviral therapy (ART), many patients with advanced AIDS prescribed these regimens do not achieve viral suppression or immune reconstitution as a result of poor adherence, drug resistance, or both. The clinical outcomes of continued ART prescription for such patients have not been well characterized. METHODS We examined the ca...

We investigate the performance of a stack algorithm to decode binary Reed-Muller codes. As metric to evaluate the different elements in the stack we use a recently derived lower bound on the squared Euclidean distance. Similar to the A -algorithm the new metric comprises a lower bound on the increase of the squared Euclidean distance in future decoding steps. Simulation results show that in cas...

As part of the Wisconsin road weather safety initiative, the objective of this study is to assess the effects of rainfall on the severity of single-vehicle crashes on Wisconsin interstate highways utilizing polychotomous response models. Weather-related factors considered in this study include estimated rainfall intensity for 15 min prior to a crash occurrence, water film depth, temperature, wi...

The statistical properties of the Autoregressive distance between ARIMA processes are investigated. In particular, the asymptotic distribution of the squared AR distance and an approximation which is computationally efficient are derived. Moreover, the problem of time series clustering and classification is discussed and the performance of the AR distance is illustrated by means of some empiric...

Increasingly, universities in Thailand are shifting towards virtual education delivery (VED) using information and communication technology to facilitate knowledge sharing and to gain competitive advantage. Little however is known about the way in which Thai society will adapt to the use of online instruction both from the teaching and learning communities. This study was designed to examine th...

introduction the human immunodeficiency virus (hiv) is a retrovirus that infects cells of the immune system, destroying or impairing their function. as the infection progresses, the immune system becomes weaker, and the person becomes more susceptible to infections. the most advanced stage of hiv infection is acquired immunodeficiency syndrome (aids). the present study aimed to evaluate the eff...