Performance guarantees and applications for Xia's algorithm

AbstractXia's algorithm consists of a reduction algorithm and a translation procedure both originally used to tackle the fixed point property for ordered sets. We present results that show that the translation procedure allows access to a much wider range of problems and results showing that the algorithm is very efficient when applied to the fixed point property in ordered sets or for order/graph isomorphism/rigidity

Robust estimation of dimension reduction space

Most dimension reduction methods based on nonparametric smoothing are highly sensitive to outliers and to data coming from heavy-tailed distributions. We show that the recently proposed methods by Xia et al. (2002) can be made robust in such a way that preserves all advantages of the original approach. Their extension based on the local one-step M-estimators is su±ciently robust to outliers and data from heavy tailed distributions, it is relatively easy to implement, and surprisingly, it performs as well as the original methods when applied to normally distributed data.Dimension reduction, Nonparametric regression, M-estimation

Robust Estimation of Dimension Reduction Space

Most dimension reduction methods based on nonparametric smoothing are highly sensitive to outliers and to data coming from heavy-tailed distributions.We show that the recently proposed methods by Xia et al.(2002) can be made robust in such a way that preserves all advantages of the original approach.Their extension based on the local one-step M-estimators is sufficiently robust to outliers and data from heavy tailed distributions, it is relatively easy to implement, and surprisingly, it performs as well as the original methods when applied to normally distributed data.Dimension reduction;Nonparametric regression;M-estimation

Mapping the World, Culture, and Border-crossing

Authors in the collected volume Mapping the World, Culture, and Border-crossing — edited by Steven Tötösy de Zepetnek and I-Chun Wang and published by National Sun Yat-sen University Press in 2010— begin with exploring theoretical premises about the processes and ramifications of cultural crossings to establish a clearly defined theoretical context for the case studies which follow. The case studies range from the creation of identity through patriotic songs in Taiwan under martial law, to nationality and Japanese identity, cultural autonomy in contemporary North America, Asian migration to Latin America, ethnic identity in the writings of Tan, Naipaul, Eliot, and Özdamar, and aspects of (im)migration and urban identities. Copyright release to the authors

The Art of Movies

Movie is considered to be an important art form; films entertain, educate, enlighten and inspire audiences. Film is a term that encompasses motion pictures as individual projects, as well as — in metonymy — the field in general. The origin of the name comes from the fact that photographic film (also called filmstock) has historically been the primary medium for recording and displaying motion pictures. Many other terms exist — motion pictures (or just pictures or “picture”), the silver screen, photoplays, the cinema, picture shows, flicks — and commonly movies