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On the eigenfunctions of the complex Ornstein-Uhlenbeck operators
eigenfunctions complex Ornstein-Uhlenbeck operators
2016/1/20
Starting from the 1-dimensional complex-valued Ornstein-Uhlenbeck process, we present two natural ways to imply the associated eigenfunctions of the 2-dimensional normal Ornstein-Uhlenbeck operators i...
Topological landscape is introduced for networks with functions defined on the nodes. By extending the notion of gradient flows to the net-work setting, critical nodes of different indices are defined...
ON A NOTION OF MAPS BETWEEN ORBIFOLDS II: HOMOTOPY AND CW-COMPLEX
Mapping mechanical maps homotopy group classical whitehead theorem
2014/12/25
This is the second of a series of papers which is devoted to a comprehensive theory of maps between orbifolds. In this paper, we develop a basic machinery for studying homotopy classes of such maps. I...
POWER RESIDUES OF FOURIER COEFFICIENTS OF ELLIPTIC CURVES WITH COMPLEX MULTIPLICATION
Elliptic curve a prime number parathyroid hormone Fourier coefficient
2014/12/24
Fix m greater than one and let E be an elliptic curve over Q with complex multiplication. We formulate conjectures on the density of primes p (congruent to one modulo m) for which the pth Fourier coef...
Relationships between eigen and complex network techniques for the statistical analysis of climate data
eigen complex network techniques statistical analysis climate data
2013/6/17
Eigen techniques such as empirical orthogonal function (EOF) or coupled pattern (CP) analysis have been frequently used for detecting patterns in multivariate climatological data sets. Recently, stati...
Complex Support Vector Machines for Regression and Quaternary Classification
Support Vector Machines Kernel methods Widely linear estimation com-plex data
2013/4/28
We present a support vector machines (SVM) rationale suitable for regression and quaternary classification problems that use complex data, exploiting the notions of widely linear estimation and pure c...
Poly-Omic Prediction of Complex Traits: OmicKriging
Poly-Omic Prediction Complex Traits OmicKriging
2013/4/27
High-confidence prediction of complex traits such as disease risk or drug response is an ultimate goal of personalized medicine. Although genome-wide association studies have discovered thousands of w...
Relations between allometric scalings and fluctuations in complex systems: The case of Japanese firms
Relations between allometric scalings fluctuations in complex systems Japanese firms
2012/9/18
To elucidate allometric scaling in complex systems, we investigated the underlying scaling rela-tionships between typical three-scale indicators for approximately 500,000 Japanese firms; namely,annual...
Massive parallelization of serial inference algorithms for a complex generalized linear model
Massive parallelization serial inference algorithms generalized linear model
2012/9/17
Following a series of high-pro le drug safety disasters in recent years, many countries are redoubling their e orts to ensure the safety of licensed medical products. Large-scale observa-tional databa...
A Bayesian Model of NMR Spectra for the Deconvolution and Quantification of Metabolites in Complex Biological Mixtures
metabolomics concentration estimation prior information multi component model block updates
2011/6/17
Nuclear Magnetic Resonance (NMR) spectra are widely used in metabolomics to
obtain profiles of metabolites dissolved in biofluids such as cell supernatants. Methods
for estimating metabolite concent...
Estimating Bayesian Networks for High-dimensional Data with Complex Mean Structure
Bayesian networks complex mean structure high-dimensionaldata regulatory networks
2010/3/10
The estimation of Bayesian networks given high-dimensional data sets,
in particular given gene expression data sets, has been the focus of much
recent research. While there are many methods availabl...
A Simulation Approach to Bayesian Emulation of Complex Dynamic Computer Models
Gaussian process Latin hypercube sampling Markov property matrix normal parallel computing spatial interpolation
2009/9/22
In recent times, complex computer models have received wide attention
inscienticresearch. However, inorder tomakeconventional statistical statements
regarding the scientic research, many expensive r...
FINE STRUCTURE OF THE COMPLEX HYPERBOLIC BROWNIAN MOTION AND RUDIN’S QUESTION
Complex hyperbolic space complex hyperbolic Brownian motion invariant Laplace operator
2009/9/18
We investigate the fine structure of the complex hyperbolic
Brownian motion in the unit ball of Cn. It turns out that the generator of the
process is locally very close to the generator of some simp...
Analysis of Models with Complex Roots on the Unit Circle
Complex B-N decomposition complex roots limiting distribution numerical integration unit root
2009/3/6
This paper deals with nonstationary autoregressive (AR) models with complex roots on the unit circle. We examine the asymptotic properties of the least squares estimators (LSEs) in the model. We also ...
Analysis of Models with Complex Roots on the Unit Circle
Complex B-N decomposition complex roots limiting distribution numerical integration unit root
2009/3/6
This paper deals with nonstationary autoregressive (AR) models with complex roots on the unit circle. We examine the asymptotic properties of the least squares estimators (LSEs) in the model. We also ...