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Component groups of unipotent centralizers in good characteristic
Algebraically closed field is good conjugacy classes group conjugacy classes
2014/12/29
Let G be a connected, reductive group over an algebraically closed field of good characteristic. For uG unipotent, we describe the conjugacy classes in the component group A(u) of the centralizer of u...
Families of matter-waves in two-component Bose-Einstein condensates
Family solutions bicomponent nonlinear schrodinger equation linear stability condensate
2014/12/29
We produce several families of solutions for two-component nonlinear Schrödinger/Gross-Pitaevskii equations. These include domain walls and the first example of an antidark or gray soliton in one...
Domain walls in two-component dynamical lattices
Domain wall bimodal discrete nonlinear schrodinger equation the mode coupling
2014/12/29
We introduce domain-wall (DW) states in the bimodal discrete nonlinear Schrödinger equation, in which the modes are coupled by cross-phase modulation (XPM). The results apply to an array of nonli...
Domain walls of single-component Bose–Einstein condensates in external potentials
Gross - Pitaevskii equation the magnetic trap distortion spatial soliton nonlinear planar optical waveguide
2014/12/25
We demonstrate the possibility of creating domain walls described by a single component Gross–Pitaevskii equation with attractive interactions, in the presence of an optical–lattice potential. While i...
Stability of waves in multi-component DNLS system
System Evans function method discrete equations vector system Evans function
2014/12/25
In this work, we systematically generalize the Evans function methodology to address vector systems of discrete equations. We physically motivate and mathematically use as our case example a vector fo...
Two-component nonlinear Schrodinger models with a double-well potential
Model of condensate hyperfine status the mixture
2014/12/25
We introduce a model motivated by studies of Bose–Einstein condensates (BECs) trapped in double-well potentials. We assume that a mixture of two hyperfine states of the same atomic species is loaded i...
Phase separation and dynamics of two-component Bose-Einstein condensates
Binary bose-einstein condensate revisit miscibility oscillatory dynamics
2014/12/24
We study the interactions between two atomic species in a binary Bose-Einstein condensate to revisit the conditions for miscibility, oscillatory dynamics between the species, steady-state solutions, a...
Stable Vortex–Bright-Soliton Structures in Two-Component Bose-Einstein Condensates
Numerical two-component structure condensate ordinary topological charge symbiotic state defocusing eddy
2014/12/24
We report the numerical realization of robust two-component structures in 2D and 3D Bose-Einstein condensates with nontrivial topological charge in one component. We identify a stable symbiotic state ...
Optimal Rates of Convergence of Transelliptical Component Analysis
Transelliptical component analysis Optimal rates of convergence Double asymptotics Minimax lower bound Elliptical copula
2013/6/14
Han and Liu (2012) proposed a method named transelliptical component analysis (TCA) for conducting scale-invariant principal component analysis on high dimensional data with transelliptical distributi...
Markov Switching Component ARCH Model: Stability and Forecasting
ARCH models Markov process Stability Component GARCH models Forecasting Bayesian inference Griddy Gibbs sampling
2013/4/28
This paper introduces an extension of the Markov switching ARCH model where the volatility in each state is a convex combination of two different ARCH components with time varying weights with differe...
A Unified Framework for Probabilistic Component Analysis
A Unified Framework Probabilistic Component Analysis
2013/5/2
In this paper, we present a unifying framework which reduces the construction of probabilistic component analysis techniques to a mere selection of the latent neighbourhood via the prior, thus providi...
Model selection and estimation of a component in additive regression
Model selection estimation component additive regression
2012/11/23
Let $Y\in\R^n$ be a random vector with mean $s$ and covariance matrix $\sigma^2P_n\tra{P_n}$ where $P_n$ is some known $n\times n$-matrix. We construct a statistical procedure to estimate $s$ as well ...
Probabilistic principal component analysis (PPCA) seeks a low dimensional representation of a data set in the presence of independent spherical Gaussian noise, Sigma = (sigma^2)*I. The maximum likelih...
Sparse Non Gaussian Component Analysis by Semidefinite Programming
dimension reduction non-Gaussian components analysis feature extraction
2011/7/5
Sparse non-Gaussian component analysis (SNGCA) is an unsupervised method of extracting a linear structure from a high dimensional data based on estimating a low-dimensional non-Gaussian data component...
Temporal and Spatial Independent Component Analysis for fMRI data sets embedded in a R package
Computation (stat.CO) Medical Physics (physics.med-ph) Applications (stat.AP)
2010/12/17
For statistical analysis of functional Magnetic Resonance Imaging (fMRI) data sets, we propose a data-driven approach based on Independent Component Analysis (ICA) implemented in a new version of the ...