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The Asymptotic Minimax Constant for Sup-Norm Loss in Nonparametric Density Estimation
Density estimation exact constant optimal recovery uniform norm risk white noise
2015/8/25
We develop the exact constant of the risk asymptotics in the uniform norm for density estimation. This constant has first been found for nonparametric regression and for signal estimation in Gaussian ...
THE LOOPING CONSTANT OF Zd
LOOPING CONSTANT Zd
2015/8/14
The looping constant ξ(Zd) is the expected number of neighbors of the origin that lie on the infinite loop-erased random walk in Zd.Poghosyan, Priezzhev and Ruelle, and independently, Kenyon and Wilso...
A Constant Factor Approximation Algorithm for Event-Based Sampling
Event-Based Sampling Approximation Algorithm
2015/6/19
We consider a control system in which sensor data is transmitted from the plant to a receiver over a communication channel, and the receiver uses the data to estimate the state of the plant. Using a f...
A Constant Factor Approximation Algorithm for Event-Based Sampling
Event-Based Sampling Approximation Algorithm
2015/6/19
We consider a control system in which sensor data is transmitted from the plant to a receiver over a communication channel, and the receiver uses the data to estimate the state of the plant. Using a f...
EPIPOLAR GEOMETRY OF LINEAR ARRAY SCANNERS MOVING WITH CONSTANT VELOCITY AND CONSTANT ATTITUDE
Photogrammetry Analysis Direct
2015/6/1
Image resampling according to epipolar geometry is a prerequisite for a variety of photogrammetric tasks such as image matching,
DEM and ortho-photo generation, aerial triangulation, map compilation...
Random values of the cosmological constant
The universe physical parameters the cosmological constant
2014/12/22
Abstract One way that an anthropic selection mechanism may be manifest in a physical theory involves multiple domains in the universe with different values of the physical parameters. If this mechanis...
Spatial and temporal gradients in the cosmological constant
Basic physical parameters the universe physical parameters space
2014/12/20
It is possible that there may be differences in the fundamental physical parameters from one side of the observed universe to the other. I show that the cosmological constant is likely to be the most ...
We develop a nonlinear spectral graph theory, in which the Laplace
operator is replaced by the 1 Laplacian ∆1
. The eigenvalue problem is to
solve a nonlinear system, involving a set valued f...
An Explicit Harmonic Extension for the Constant-like Basis and Its Application to Domain Decompositions
domain decomposition coarse subspace constant-like basis nearly harmonic extension preconditioner inexact solvers condition number
2012/8/8
In this paper we are concerned with substructuring methods for the second-order
elliptic problems in three-dimensional domains. We 痳st design a simple and completely
explicit nearly harmonic extensi...
Consistent testing for a constant copula under strong mixing based on the tapered block multiplier technique
Change point test Copula Empirical copula process Nonparametric estimation Time series Strong mixing Multiplier central limit theorem
2012/6/29
Considering multivariate strongly mixing time series, nonparametric tests for a constant copula with specified or unspecified change point (candidate) are derived; the tests are consistent against gen...
On complete constant mean curvature vertical multigraphs in E(κ,τ)
multigraphs constant mean curvature homogeneous spaces
2012/6/29
We prove that any complete surface with constant mean curvature in a homogeneous space E(\kappa,\tau) which is transversal to the vertical Killing vector field is, in fact, a vertical graph. As a cons...
Multifractal analysis of some multiple ergodic averages for the systems with non-constant Lyapunov exponents
Multifractal analysis of some multiple ergodic averages non-constant Lyapunov exponents Dynamical Systems
2012/6/27
We study certain multiple ergodic averages of an iterated functions system generated by two contractions on the unit interval. By using the dynamical coding ${0,1}^{\mathbb{N}}$ of the attractor, we c...
The normality of digits in almost constant additive functions
Normal numbers additive function Selberg-Delange method
2012/6/21
We consider numbers formed by concatenating some of the base b digits from additive functions f(n) that closely resemble the prime counting function \Omega(n). If we concatenate the last
The Yamabe constant on noncompact manifolds
The Yamabe constant noncompact manifolds Differential Geometry
2012/6/19
We prove several facts about the Yamabe constant of Riemannian metrics on general noncompact manifolds and about S. Kim's closely related "Yamabe constant at infinity". In particular we show that the ...
Absolute continuity of the best Sobolev constant of a bounded domain
Absolute continuity Lipschitz continuity p-Laplacian Rayleigh quotient Sobolev best constants
2012/6/7
Let $\lambda_{q}:=\inf{\Vert\nabla u\Vert_{L^{p}(\Omega)}^{p}/\Vertu\Vert_{L^{q}(\Omega)}^{p}:u\in W_{0}^{1,p}(\Omega)\setminus{0}} $, where $\Omega$ is a bounded and smooth domain of $\mathbb{R}^{N},...