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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...
A DESCRIPTION OF THE OUTER AUTOMORPHISM OF S6, AND THE INVARIANTS OF SIX POINTS IN PROJECTIVE SPACE
PROJECTIVE SPACE OUTER AUTOMORPHISM
2015/7/14
The latter two descriptions do
not distinguish any of the six points. Of course, these descriptions are equivalent to the
traditional one (x1.4) there is after all only one nontrivial outer automor...
Cutting description of trivial 1-cohomology
Cutting description trivial 1-cohomology Algebraic Topology
2012/6/30
As an exercise in Morse theory and Eilenberg-MacLane spectrum, we propose a topological description of trivial first cohomology in terms of cutting properties of open sets.
The Minor inequalities in the description of the Set Covering Polyhedron of Circulant Matrices
polyhedral combinatorics set covering circulant matrices Combinatorics
2012/6/25
In this work we give a complete description of the set covering polyhedron of circulant matrices $C^k_{sk}$ with $s = 2,3$ and $k\geq 3 $ by linear inequalities. In particular, we prove that every non...
Range description for a spherical mean transform on the hyperbolic spaces
Range description the hyperbolic spaces Differential Geometry Analysis of PDEs
2011/8/31
Abstract: We consider the spherical mean transform $\mR(f)$ of a function $f$ defined on the hyperbolic space $\Hs^n$. Let $\uS \subset \Hs^n$ be the unit sphere centered at the origin, and $\mR_{\uS}...
Asymptotic description of solutions of the exterior Navier Stokes problem in a half space
Asymptotic description exterior Navier Stokes problem a half space
2011/8/25
Abstract: We consider the problem of a body moving within an incompressible fluid at constant speed parallel to a wall, in an otherwise unbounded domain. This situation is modeled by the incompressibl...
A new method of description of three-particle Coulombic systems
three-body atomic systems hyperspherical functions
2011/3/2
We present a method for treatment of three charged particles. The proposed method has universal character and is applicable both for bound and continuum states. A finite rank approximation is used for...
n-Channel Asymmetric Entropy-Constrained Multiple-Description Lattice Vector Quantization
n-Channel Asymmetric Entropy-Constrained Lattice Vector Quantization
2011/1/14
This paper is about the design and analysis of an index-assignment (IA) based multiple-description coding scheme for the n-channel asymmetric case.
On the description of the Leibniz algebras with nilindex n-3
description of the Leibniz algebras nilindex n-3
2011/1/20
In this paper we present the classification of a subclass of natu-rally graded Leibniz algebras. These n-dimensional Leibniz algebras have the characteristic sequence equal to (n−3, 3). For this...
Description of limits of ranges of iterations of stochastic integral mappings of infinitely divisible distributions
completely selfdecomposable distribution infinitely divisible dis-tribution
2011/1/17
For infinitely divisible distributions on Rd the stochastic integral map-ping f is defined as the distribution of improper stochastic integral R∞−0 f(s)dX() s ,where f(s) is a non-random f...
An explicit description of the simplicial group $K(A,n)$
explicit description the simplicial group
2010/11/23
We give a new explicit construction for the simplicial group $K(A,n)$. We explain the topological interpretation and discuss some possible applications.
Description of stochastic and chaotic series using visibility graphs
Data Analysis, Statistics and Probability (physics.data-an) Chaotic Dynamics (nlin.CD)
2010/11/10
Nonlinear time series analysis is an active field of research that studies the structure of complex signals in order to derive information of the process that generated those series, for understanding...
Let (Y_t: t > 0) be the STIT tessellation process. We show that for all polytopes W with nonempty interior and all a>1, the renormalized random sequence (a^n Y_{a^n}: n integer) induced in W, is a fin...
Minimum description length methods of medium-scale simultaneous inference
Minimum description length methods medium-scale simultaneous inference
2010/12/16
Nonparametric statistical methods developed for analyzing data for high numbers of genes, SNPs, or other biological features tend to overfit data with smaller numbers of features such as proteins, met...
Canonical description of incompressible fluid -- Dirac brackets approach
Fluid dynamics Poisson structure Dirac brackets Canonical description
2010/12/15
We present a novel canonical description of the incompressible fluid dynamics. This de-
scription uses the dynamical constraints, in our case reflecting incompressibility assumption, and leads to rep...