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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...
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...
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...
Uncertainty quantification in complex systems using approximate solvers
uncertainty quantification Monte Carlo Bayesian nonparametric regression
2010/4/30
This paper proposes a novel uncertainty quantification framework for computationally
demanding systems characterized by a large vector of non-Gaussian uncertainties. It combines
state-of-the-art tec...
Indicator function and complex coding for mixed fractional factorial designs
Algebraic statistics Complex coding Mixed-level designs Regularfraction Orthogonal arrays
2010/4/27
In a general fractional factorial design, the n-levels of a factor are coded by the n-th
roots of the unity. This device allows a full generalization to mixed-level designs of
the theory of the poly...