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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Model-free conditional screening for ultrahigh-dimensional survival data via conditional distance correlation
条件距离 相关性 超高维 生存数据 无模型 条件筛选
2023/5/4
How to select the active variables which have significant impact on the event of interest is a very important and meaningful problem in the statistical analysis of ultrahigh-dimensional data. In many ...
昆明理工大学理学院概率论与数理统计课件Chapter 4 The Expectation and Variance--Covariance&Correlation
昆明理工大学理学院 概率论与数理统计 课件 Chapter 4 The Expectation and Variance Covariance&Correlation
2017/4/17
昆明理工大学理学院概率论与数理统计课件Chapter 4 The Expectation and Variance--Covariance&Correlation.
Multivariate Regression Shrinkage and Selection by Canonical Correlation Analysis
Adaptive Lasso Canonical Correlation Analysis Multivariate Regression Selection Consistency
2016/1/20
The problem of regression shrinkage and selection for multivariate regression is considered. The goal is to consistently identify those variables relevant for regression. This is done not only for pre...
The Existence of Pair Potential Corresponding to Specified Density and Pair Correlation
Gibbs Field Gibbs Measure Cluster Functions Pair Potential Corrlation Functions Ursell Functions
2015/9/28
Given a potential of pair interaction and a value of activity, one can consider the Gibbs distribution in a finite domain Λ ⊂ Z d . It is well known that for small values of activity there...
Correlation analysis of enzymatic reaction of a single protein molecule
Autocorrelation continuous time Markov chain fluorescence intensity Michaelis-Mente nmodel stochastic network model single-molecule experiment turnover time
2012/11/23
New advances in nano sciences open the door for scientists to study biological processes on a microscopic molecule-by-molecule basis. Recent single-molecule biophysical experiments on enzyme systems, ...
Generalized Canonical Correlation Analysis for Disparate Data Fusion
Manifold matching canonical correlation analysis reduced rank regression efficiency,classification
2012/11/22
Manifold matching works to identify embeddings of multiple disparate data spaces into the same low-dimensional space, where joint inference can be pursued. It is an enabling methodology for fusion and...
Hypersurfaces and their singularities in partial correlation testing
Hypersurfaces singularities partial correlation testing
2012/11/21
An asymptotic theory is developed for computing volumes of regions in the parameter space of a directed Gaussian graphical model that are obtained by bounding partial correlations. We study these volu...
Geometric Influences II: Correlation Inequalities and Noise Sensitivity
Influences geometric influences noise sensitivity correlation between increasing sets Talagrand’s bound Gaussian measure isoperimetric inequality
2012/6/25
In a recent paper, we presented a new definition of influences in product spaces of continuous distributions, and showed that analogues of the most fundamental results on discrete influences, such as ...
Gauge Theories on ALE Space and Super Liouville Correlation Functions
Gauge Theories ALE Space Super Liouville Correlation Functions High Energy Physics - Theory
2011/10/9
Abstract: We present a relation between N=2 quiver gauge theories on the ALE space O_{P^1}(-2) and correlators of N=1 super Liouville conformal field theory, providing checks in the case of punctured ...
Superdiffusivity for Brownian motion in a Poissonian potential with long range correlation II: upper bound on the volume exponent
Streched Polymer Quenched Disorder Superdiffusivity Brownian Motion Poissonian Obstacles Correlation
2011/8/26
Abstract: This paper continues a study on trajectories of Brownian Motion in a field of soft trap whose radius distribution is unbounded. We show here for both point-to-point and point-to-plane model ...
A sharp correlation inequality with an application to almost sure local limit theorem
Correlation inequality i.i.d. random variables lattice distributed
2011/2/21
We prove a new sharp correlation inequality for sums of i.i.d.square integrable lattice distributed random variables. We also apply it to establish an almost sure local limit theorem for iid square in...
Supersymmetry approach to Wishart correlation matrices: Exact results
Wishart correlation matrices
2011/1/18
We calculate the marginal probability density of real and complex Wishart correlation matrices. For deep mathematical reasons,no explicit expression could be obtained for the real case so far.
Deformation of a flexible polymer in a random flow with long correlation time
Deformation of a flexible polymer random flow long correlation time
2010/12/28
The effects induced by long temporal correlations of the velocity gradients on the dynamics
of a flexible polymer are investigated by means of theoretical and numerical analysis of the Hookean and FE...
Let be an arbitrary angle in a random spherical triangle and a be the side opposite . (The sphere has radius 1; vertices of are independent and uniform.) If some other side is constrained to be...
A note on Gaussian correlation inequalities for nonsymmetric sets
Gaussian correlation inequalities nonsymmetric sets
2010/11/23
We consider the Gaussian correlation inequality for nonsymmetric convex sets. More precisely, if $A\subset\mathbb{R}^d$ is convex and the origin $0\in A$, then for any ball $B$ centered at the origin...