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Existence and approximation of probability measure solutions to models of collective behaviors
Existence approximation of probability measure models of collective behaviors
2011/1/20
In this paper we consider first order differential models of collective behaviors of groups
of agents based on the mass conservation equation. Models are formulated taking the spatial
distribution o...
Improved Approximation for the Directed Spanner Problem
Approximation Directed Spanner Problem
2011/3/3
We prove that the size of the sparsest directed k-spanner of a graph can be approximated in polynomial time to within a factor of ˜O(√n), for all k ≥ 3. This improves the ˜O(n2/3)-
approxim...
Some approximation properties of Lupa\cs $q$-analogue of Bernstein operators
q-Bernstein polynomials Lupa¸ s q-analogue Voronovskaja-type
2011/2/23
In this paper, we discuss rates of convergence for the Lupa¸s q-analogue of Bernstein
polynomials Rn,q. We prove a quantitative variant of Voronovskaja’s theorem for Rn,q.
Uniform Estimates of the Prolate Spheroidal Wave Functions and Spectral Approximation in Sobolev Spaces
Uniform Estimates of the Prolate Spheroidal Wave Functions Spectral Approximation Sobolev Spaces
2011/2/22
For fixed c Prolate Spheroidal Wave Functions ψn,c form a basis with remarkable properties
for the space of band-limited functions with bandwith c and have been largely studied and
used after the se...
Best $\ell_1$-approximation of nonnegative polynomials by sums of squares
Polynomials sums of squares semidefinite programming
2011/2/21
Given a nonnegative polynomial f, we provide an explicit expres-sion for its best ℓ1-norm approximation by a sum of squares of given degree.
On approximation of functions satisfying defective renewal equations
defective renewal equation Laplace transform
2011/2/22
Functions satisfying a defective renewal equation arise commonly in applied probability models. Usually these functions don’t admit a explicit expression. In this work we consider to approximate them ...
A cohomological obstruction to weak approximation for homogeneous spaces
Brauer-Manin obstruction weak approximation homogeneous spaces
2011/1/19
Let X be a homogeneous space, X = G/H, where G is a connected linear algebraic group over a number field k, and H G is a k-subgroup (not necessarily con-nected). Let S be a finite set of places of k...
Low-Rank Matrix Approximation with Weights or Missing Data is NP-hard
low-rank matrix approximation weighted low-rank approximation missing data
2011/1/17
Weighted low-rank approximation (WLRA), a dimensionality reduction technique for data anal-
ysis, has been successfully used in several applications, such as in collaborative filtering to design reco...
On a finite element approximation of the Stokes problem under leak or slip boundary conditions of friction type
Finite element method Stokes equations Boundary conditions of friction type
2011/2/25
A nite element approximation of the Stokes equations under a certain nonlinear boundary condition, namely, the slip or leak boundary con-dition of friction type, is considered. We propose an approxim...
An asymptotic approximation of the marginal likelihood for general Markov models
BIC marginal likelihood singular models tree models Bayesian
2011/1/18
The standard Bayesian Information Criterion (BIC) is derived under regularity conditions which are not always satis ed by the graphical models with hidden variables.
On the Approximation of Nonlinear Evolution Equations in Particular C*-Algebras of Operators
Nonlinear Evolution Equations Particular C*-algebras Discretizable Hilbert spaces
2011/2/25
In this article we deal with the approximation of solutions of non-linear evolution equations of the form A(u(t))+f(u(t)) = u′(t), the numerical analysis of solutions to this problems will be performe...
Uniform approximation of a class of multivariable trigonometric interpolation polynomials in Euclidean space
triangle summation operator uniform convergence
2010/9/25
To improve the uniform convergence of the classical Lagrange operators of several variables, we construct a new operator with a class of summation factors. It is proved that the new operator converges...
Existence and approximation of solutions for nonlocal boundary value problems with mixed nonlinearities
Quasilinearization three-point boundary value problem
2010/9/20
In this paper, we study a second-order boundary value problem involving mixed nonlinearities in the differential equation and nonlinear nonlocal general three-point boundary conditions. We develop a g...
Particle approximation of the intensity measures of a spatial branching point process arising in multi-target tracking
Spatial branching processes multi-target tracking problems
2011/2/25
The aim of this paper is two-fold. First we analyze the sequence of intensity measures of a spatial branching point process arising in a multiple target tracking context. We study its stability proper...
Polyharmonic and Related Kernels on Manifolds: Interpolation and Approximation
manifold positive definite kernels least squares approximation Sobolev spaces
2011/2/24
This article is devoted to developing a theory for effective kernel interpolation and approximation in a general setting.