搜索结果: 1-15 共查到“统计学 Dimensions”相关记录15条 . 查询时间(0.097 秒)
Modulational instability of Gross-Pitaevskii-type equations in 1+1 dimensions
The coupling instability nonlinear schrodinger equation matter waves lens type conversion
2014/12/29
The modulational instability of the nonlinear Schrödinger (NLS) equation is examined in the case with a quadratic external potential. This study is motivated by recent experimental results in the...
Nonlinearity management in higher dimensions
Nonlinear the nonlinear schrodinger equation the schrodinger equation
2014/12/25
In the present paper, we revisit nonlinearity management of the time-periodic nonlinear Schrödinger equation and the related averaging procedure. By means of rigorous estimates, we show that the ...
Discrete surface solitons in two dimensions
On the edge of the two-dimensional lattice the induced dipole lattice vortex solitons lattice
2014/12/25
We investigate fundamental localized modes in two-dimensional lattices with an edge (surface). The interaction with the edge expands the stability area for fundamental solitons, and induces a differen...
Discrete skyrmions in 2+1 and 3+1 dimensions
Lattice Skyrme model discrete model discretization
2014/12/25
This Letter describes a lattice version of the Skyrme model in 2+1 and 3+1 dimensions. The discrete model is derived from a consistent discretization of the radial continuum problem. Subsequently, the...
Surface solitons in three dimensions
3 d dynamic grid grid work water chestnut and vortex
2014/12/25
We study localized modes on the surface of a three-dimensional dynamical lattice. The stability of these structures on the surface is investigated and compared to that in the bulk of the lattice. Typi...
Stochastic optimization and sparse statistical recovery: An optimal algorithm for high dimensions
Stochastic optimization sparse statistical recovery optimal algorithm high dimensions
2012/9/19
We develop and analyze stochastic optimization algorithms for problems in which the ex-pected loss is strongly convex, and the optimum is (approximately)sparse. Previous approaches are able to exploit...
Estimators for Archimedean copulas in high dimensions: A comparison
Archimedean copulas parameter estimation Kendall’s tau Blomqvist’s beta minimum distance estimators (diagonal/simulated) maximum-likelihood estimation.
2012/9/19
The performance of known and new parametric estimators for Archimedean copulas is investigated, with special focus on large dimensions. In particular,method-of-moments-like estimators based on pairwis...
On the Limits of Sequential Testing in High Dimensions
On the Limits of Sequential Testing High Dimensions
2011/6/21
This paper presents results pertaining to sequential
methods for support recovery of sparse signals in noise.
Specifically, we show that any sequential measurement procedure
fails provided the aver...
Noisy matrix decomposition via convex relaxation: Optimal rates in high dimensions
Noisy matrix decomposition via convex relaxation high dimensions
2011/3/24
We analyze a class of estimators based on convex relaxation for solving high-dimensional matrix decomposition problems. The observations are the noisy realizations of the sum of an (appproximately) lo...
Simultaneous critical values for $t$-tests in very high dimensions
empirical processes FDR high dimension microarrays multiple hypothesis testing one-sample t-statistics self-normalized moderate deviation two-sample t-statistics
2011/3/21
This article considers the problem of multiple hypothesis testing using $t$-tests. The observed data are assumed to be independently generated conditional on an underlying and unknown two-state hidden...
ON BESOV REGULARITY OF BROWNIAN MOTIONS IN INFINITE DIMENSIONS
Gaussian random variable maximal estimates Besov–Orlicz norm non-separable Banach space
2009/9/18
We extend to the vector-valued situation some earlier work
of Ciesielski and Roynette on the Besov regularity of the paths of the classical
Brownian motion.We also consider a Brownian motion as a Be...
OCCUPATION TIME FLUCTUATIONS OF POISSON AND EQUILIBRIUM BRANCHING SYSTEMS IN CRITICAL AND LARGE DIMENSIONS
Functional central limit theorem occupation time fluctuations branching particles systems
2009/9/18
Limit theorems are presented for the rescaled occupation
time fluctuation process of a critical finite variance branching particle system
in Rd with symmetric ®-stable motion starting off from ...
A note on sensitivity of principal component subspaces and the efficient detection of influential observations in high dimensions
distance between subspaces influential observations perturbation principal component analysis
2009/9/16
In this paper we introduce an influence measure based on second order expansion of the RV and GCD measures for the comparison between unperturbed and perturbed eigenvectors of a symmetric matrix estim...
Loop-Erased Walks Intersect Infinitely Often in Four Dimensions
Random Walks Loop-Erased Walks Intersections
2009/5/8
In this short note we show that the paths two independent loop-erased random walks in four dimensions intersect infinitely often. We actually prove the stronger result that the cut-points of the two w...
A new approach to Cholesky-based covariance regularization in high dimensions
new approach Cholesky-based covariance regularization high dimensions
2010/3/18
In this paper we propose a new regression interpretation of the Cholesky factor of the covariance matrix, as opposed to the well known regression interpretation of the Cholesky factor of the inverse c...