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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Almost sure scattering for the cubic NLS on R3T1
R3T1 三次NLS 散射 Cauchy问题
2023/5/18
We consider the Cauchy problem for the defocusing cubic NLS on R3T1 and establish almost sure scattering for random initial data. The main obstacle to extend the classical almost sure scattering resul...
Phosphine as a superconductor?Sure,but the story may be complicated
Phosphine superconductor story complicated
2016/2/23
Phosphine is one of the newest materials to be named a superconductor, a material through which electricity can flow with zero resistance.In 2015, scientists reported that they had liquefied the chemi...
A simpler axiomatization of the Shelah-Spencer almost sure theories
Shelah-Spencer almost sure theories
2015/9/28
We give an explicit AE-axiomatization of the almost sure theories
of sparse random graphs G(n, n−α) of Shelah-Spencer. In the process
we give a method of constructing extensions of graphs whos...
Conditional Sure Independence Screening
False selection rate Generalized linear models Sparsity Sure screening Variable selection
2012/6/21
Independence screening is a powerful method for variable selection for `Big Data' when the number of variables is massive. Commonly used independence screening methods are based on marginal correlatio...
From almost sure local regularity to almost sure Hausdorff dimension for Gaussian fields
Gaussian processes Hausdorff dimension (multi)fractional Brownian motion multiparameter processes Holder regularity stationarity
2012/6/19
Fine regularity of stochastic processes is usually measured in a local way by local H\"older exponents and in a global way by fractal dimensions. Following a previous work of Adler, we connect these t...
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...
SURE算法在核磁共振信号去噪中的实现
核磁共振 回波去噪 SURE
2010/12/27
核磁共振产生的回波信号幅度比较低,容易受到噪声干扰.如何有效提高低场核磁共振回波信号的信噪比一直是核磁共振技术研究的关键课题之一.本文讨论了一种基于小波变换的Stein无偏风险估计(SURE)算法,从相关系数图版中确定尺度因子和分解层次,依据噪声在不同分解层次上的差异取不同的阈值对回波信号去噪.该算法与传统的模极大值法和空域相关法相比,能获得更高的信噪比,为储层流体分析提供更准确的孔隙度信息.
Almost sure localization of the eigenvalues in a gaussian information plus noise model. Applications to the spiked models
localization eigenvalues gaussian information plus noise model
2010/12/14
Let §N be a M ×N randommatrix defined by §N = BN +σWN where BN is a uniformly bounded deterministicmatrix andwhereWN is an independent identically distributed complex Gaussianmatrix with zeromean and ...
Major advances have been made in the past decade in our knowledge of the hotinterstellar gas of our Milky Way galaxy. The Di.use X-ray Spectrometer obtainedspectra in the 0.15?.28 keV range from the G...
Almost sure convergence and in quadratic mean of the gradient stochastic process for the sequential estimation of a conditional expectation
Stochastic approximation Conditional expectation
2010/9/10
In this work, we present results of Almost Sure Convergence and in Quadratic Mean of the gradient stochastic process for the sequential estimation of a conditional expectation.
This work is motived b...
Quasi Sure Product Variation of two Parameter Smooth Martingales on the Wiener Space
quasi-sure $\infty$-modification smooth martingale product variation Kolmogorov's criterion
2007/12/12
In this paper, we prove that the process of product variation of a two-parameter smooth martingale admits an $\infty$ modification, which can be constructed as the quasi-sure limit of sum of the corre...
ALMOST SURE CONVERGENCE OF THE STABLE TAIL EMPIRICAL DEPENDENCE FUNCTION IN MULTIVARIATE EXTREME STATISTICS
Multivariate extreme value s
2007/12/11
In this paper we prove the almost sure convergence of the stable tail empirical dependence function for multivariate extreme values.