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Asymptotic stability of small solitons in the discrete nonlinear Schr¨odinger equation in one dimension
Small solitary wave one dimensional discrete nonlinear septic nonlinear power law equation
2014/12/25
Asymptotic stability of small solitons in one dimension is proved in the framework of a discrete nonlinear Schr¨odinger equation with septic and higher power-law nonlinearities and an external potenti...
Topics in Multivariate Time Series Analysis: Statistical Control, Dimension Reduction Visualization and Thir Business Applications
Topics in Multivariate Time Series Analysis Statistical Control Dimension Reduction Visualization Their Business Applications
2014/10/28
Most business processes are, by nature, multivariate and autocorrelated. Highdimensionality is rooted in processes where more than one variable is considered simultaneously to provide a more comprehen...
Th Institutional Dimension of e-Government Promotion: A Comparative Study on Making ‘Business Reference Model (BRM)’ in the U.S. and Korea
e-Government Promotion A Comparative Study on Making Business Reference Model U.S. Korea
2014/10/17
E-governments have been built in most countries since the Clinton administration adopted it as a strategy of ‘Reinventing Government’ in the early 1990s. Moreover, informational services of egovernmen...
From Fourier to Gegenbauer: Dimension walks on spheres
Fourier to Gegenbauer Dimension walks on spheres
2013/4/28
We show that the even- resp. odd-dimensional Schoenberg coefficients in Gegenbauer expansions of isotropic positive definite functions on the d-sphere can be expressed as linear combinations of Fourie...
Critical dimension in profile semiparametric estimation
maximum likelihood local quadratic bracketing spread local concentration
2013/4/28
This paper revisits the classical inference results for profile quasi maximum likelihood estimators (profile MLE) in the semiparametric estimation problem. We mainly focus on two prominent theorems: t...
Predictive Correlation Screening: Application to Two-stage Predictor Design in High Dimension
Predictive Correlation Screening Application Two-stage Predictor Design High Dimension
2013/4/27
We introduce a new approach to variable selection, called Predictive Correlation Screening, for predictor design. Predictive Correlation Screening (PCS) implements false positive control on the select...
Fast dimension-reduced climate model calibration
Fast dimension-reduced climate model calibration
2013/4/27
What is the response of the climate system to anthropogenic forcings? This question is addressed typically using projections from climate models. The uncertainty surrounding current climate projection...
Discovering findings that replicate from a primary study of high dimension to a follow-up study
False discovery rate genome-wide association studies meta-analysis multiple comparisons replicability analysis
2012/9/18
We consider the problem of identifying whether findings replicate from one study of high dimension to another, when the primary study guides the selection of hy-potheses to be examined in the follow-u...
On dimension folding of matrix- or array-valued statistical objects
Directional regression electroencephalography Kronecker en-velope sliced inverse regression sliced average variance estimate
2010/3/11
We consider dimension reduction for regression or classification
in which the predictors are matrix- or array-valued. This type of pre-
dictor arises when measurements are obtained for each combinat...
Gender – a missing dimension in human resource policy and planning for health reforms
Gender health providers human resources planning health sector reform
2009/10/15
This article takes up the relatively neglected issue of gender in human resources policy
and planning (HRPP), with particular reference to the health sector in developing countries.
Current approa...
Mouvements browniens asymetriques modifies en dimension finie et operateurs differentiels a coefficients discontinus
Mouvements browniens asymetriques modifies dimension finie operateurs differentiels
2009/9/23
Mouvements browniens asymetriques modifies en dimension finie et operateurs differentiels a coefficients discontinus。
Suppose that X is a two-dimensional Brownian motion.
The trace X[O, I] contains a self-avoiding continuous path
whose Hausdorff dimension is equal to 2.
Hausdorff dimension theorems for self-similar Markov processes
Hausdorff dimension theorems self-similar Markov processes
2009/9/22
Let X(t) (ts R,) be an u-self-similar Markov process
on Rd or Rd+. The Hausdorff dimension of the image, graph and zero
set of X(t) are obtained under certain mild conditions. Similar results
are a...
Box dimension of interpolations of self-similar processes with stationary increments
Fractal interpolation interpolation dimension box dimension self-similar process
2009/9/21
We prove that under a general condition interpolation
dimensions of H-sssi process converge in probabiIity to 2-H. The
result can be applied to a wide class of H-sssi processes which includes
fract...
Selection of variables and dimension reduction in high-dimensional non-parametric regression
dimension reduction high dimension LASSO
2009/9/16
We consider a $l_1$-penalization procedure in the non-parametric Gaussian regression model. In many concrete examples, the dimension $d$ of the input variable $X$ is very large (sometimes depending on...