DESIGN OF PILING

Piling of multiscale random models

This paper considers random balls in a D-dimensional Euclidean space whose centers are prescribed by a homogeneous Poisson point process and whose radii are forced to be in a finite interval with a power-law distribution. Random fields are constructed by counting the number of covering balls at each point. We are mainly interested in the simulation of these fields and in the empirical estimatio...

Piling Up, or Floating Away

Maximal Data Piling in Discrimination

In a binary discrimination problem, a linear classifier finds a linear hyperplane that separates two classes by partitioning the data space. Especially in a High Dimension Low Sample Size (HDLSS) setting, there are linear separating hyperplanes such that the projections of the training data points onto their normal direction vectors are identically zero, or some non-zero constant. Of interest i...

investigating the feasibility of a proposed model for geometric design of deployable arch structures

deployable scissor type structures are composed of the so-called scissor-like elements (sles), which are connected to each other at an intermediate point through a pivotal connection and allow them to be folded into a compact bundle for storage or transport. several sles are connected to each other in order to form units with regular polygonal plan views. the sides and radii of the polygons are...

Piling-up Lemma for Markov Chains