Sequential Change-point Detection for High-dimensional and non-Euclidean Data

In many modern applications, high-dimensional/non-Euclidean data sequences are collected to study complicated phenomena over time and it is of scientific importance to detect anomaly events as the data are being collected. We studied a nonparametric framework that utilizes nearest neighbor information among the observations and can be applied to such sequences. We considered new test statistics under this framework that can make more positive detections and can detect anomaly events sooner than the existing test under many common scenarios with the false discovery rate controlled at the same level. Analytic formulas for approximate the average run lengths of the new approaches are derived to make them fast applicable to large datasets

Low-Temperature Deposition of Pb(Zr,Ti)O3 Thin Films on Si Substrates Using Ba(Mg1/3Ta2/3)O3 as Buffer Layer

[[abstract]]Utilization of Ba(Mg1/3Ta2/3)O3 materials as buffer layers was found to achieve perovskite Pb(Zr,Ti)O3 (PZT) thin film growth on silicon at very low substrate temperature (∼350 °C) by in situ pulsed laser deposition (PLD). Formation of a continuous layer is of critical importance in order to use the Ba(Mg1/3Ta2/3)O3 materials as diffusion barriers for suppressing the PZT-to-Si interaction and, at the same time, as seeding layers for enhancing the crystallization kinetics of the PZT films. Perovskite and amorphous PZT thin films can be obtained by simply adjusting the ambient oxygen pressure or substrate temperature in the PLD process. The amorphous PZT films possess a markedly smaller optical refractive index than the perovskite ones (namorphous = 2.02 and nperovskite = 2.39), such that the perovskite/amorphous PZT films are a good combination for core/cladding materials for planar optical waveguides.[[fileno]]2020305010029[[department]]材料科學工程學

Incompressible Limit of a Compressible Liquid Crystals System

This article is devoted to the study of the so-called incompressible limit for solutions of the compressible liquid crystals system. We consider the problem in the whole space $\mathbb{R}^{\mathbb{N}}$ and a bounded domain of $\mathbb{R}^{\mathbb{N}}$ with Dirichlet boundary conditions. Here the number of dimension $\mathbb{N}=2$ or 3