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Estimator for Number of Sources using Minimum Description Length Criterion for Blind Sparse Source Mixtures
Minimum Description Length Criterion Blind Sparse Source Mixtures
2015/9/29
In this paper I present a Minimum Description Length Estimator for number of sources in an anechoic mixture of sparse signals.The criterion is roughly equal to the sum of negative normalized maximum l...
The Block Criterion for Multiscale Inference About a Density, With Applications to Other Multiscale Problems
Fast algorithm Local increase in a density Multiscale test.
2015/8/20
The use of multiscale statistics, that is, the simultaneous inference about various
stretches of data via multiple localized statistics, is a natural and popular method for
inference about, for exam...
A GENERAL MINIMUM LOWER-ORDER CONFOUNDING CRITERION FOR TWO-LEVEL REGULAR DESIGNS
GENERAL MINIMUM LOWER-ORDER CONFOUNDING CRITERION TWO-LEVEL REGULAR DESIGNS
2015/3/20
Based on the hierarchical ordering principle of factorial effects in experimental design, we propose an aliased effect-number pattern (AENP) as a criterion to judge a two-level regular design; such a ...
A General Minimum Lower-Order Confounding Criterion for Two-Level Regular Designs
Clear effects criterion Estimation ability
2015/3/18
Based on the hierarchical ordering principle of factorial effects in experimental
design, we propose an aliased effect-number pattern (AENP) as a criterion to judge
a two-level regular design; such ...
A new mixed-mode fracture criterion for large-scale lattice models
mixed-mode fracture criterion large-scale lattice models
2014/12/18
Reasonable fracture criteria are crucial for the
modeling of dynamic failure in computational lattice models.
Successful criteria exist for experiments on the micro- and
on the mesoscale, which are...
A universal approximate cross-validation criterion and its asymptotic distribution
AIC cross entropy crossvalidation estimator choice Kullback-Leibler risk model selection ordered categorical observations psychometric tests
2012/6/29
A general framework is that the estimators of a distribution are obtained by minimizing a function (the estimating function) and they are assessed through another function (the assessment function). T...
We translate Brown's criterion for homological finiteness properties to the setting of Bredon homology.
Half-trek criterion for generic identifiability of linear structural equation models
Covariance matrix Gaussian distribution graphical model multivariate normal distribution parameter identification
2011/9/22
Abstract: A linear structural equation model relates random variables of interest and corresponding Gaussian noise terms via a linear equation system. Each such model can be represented by a mixed gra...
A Blow-up Criterion for Two Dimensional Compressible Viscous Heat-Conductive Flows
Blow-up Criterion Two Dimensional Compressible Viscous Heat-Conductive Flows Analysis of PDEs
2011/9/19
Abstract: We establish a blow-up criterion in terms of the upper bound of the density and temperature for the strong solution to 2D compressible viscous heat-conductive flows. The initial vacuum is al...
Yet another proof of the Nualart-Peccati criterion
Brownian motion free Brownian motion multiple Wiener-Ito integrals multiple Wigner integrals
2011/9/13
Abstract: In 2005, Nualart and Peccati showed that, surprisingly, the convergence in distribution of a normalized sequence of multiple Wiener-It\^o integrals towards a standard Gaussian law is equival...
An ampleness criterion with the extendability of singular positive metrics
Psh functions Singular metrics Currents ample line bundles
2011/9/13
Abstract: Coman, Guedj and Zeriahi proved that, for an ample line bundle $L$ on a projective manifold $X$, any singular positive metric on the line bundle $L|_{V}$ along a subvariety $V \subset X$ can...
Boundary Characteristic Point Regularity for Navier-Stokes Equations: Blow-up Scaling and Petrovskii-type Criterion (a Formal Approach)
Navier–Stokes equations in R3 backward paraboloid characteristic vertex boundary regularity blow-up scaling boundary layer
2011/9/6
Abstract: It is shown that Wiener's regularity of the vertex of a backward paraboloid for 3D Navier-Stokes equations with zero Dirichlet conditions on the paraboloid boundary is given by Petrovskii's ...
On the meaning of the Vakhitov-Kolokolov stability criterion for the nonlinear Dirac equation
the Vakhitov-Kolokolov stability criterion the nonlinear Dirac equation Analysis of PDEs
2011/8/31
Abstract: We consider the spectral stability of solitary wave solutions \phi(x)e^{-i\omega t} to the nonlinear Dirac equation in any dimension. This equation is well-known to theoretical physicists as...
Fragment Production and Survival in Irradiated Disks: A Comprehensive Cooling Criterion
Fragment Production Survival Irradiated Disks Comprehensive Criterion
2011/9/27
Accretion disks that become gravitationally unstable can fragment into stellar or sub-stellar companions. The formation and survival of these fragments depends on the precarious balance between self-g...
A refined empirical stability criterion for nonlinear Schroedinger solitons under spatiotemporal forcing
nonlinear Schroedinger solitons spatiotemporal
2011/7/6
We investigate the dynamics of travelling oscillating solitons of the cubic NLS equation under an external spatiotemporal forcing of the form $f(x,t) = a \exp[iK(t)x]$. For the case of time-independen...