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Global sensitivity analysis measures the importance of some input variables to a function f by looking at the impact on f of making large random
perturbations to subsets of those variables. Using mea...
Iterated approximate value functions
The control strategy of function offline function optimization
2015/8/7
In this paper we introduce a control policy which we refer to as the iterated approximate value function policy. The generation of this policy requires two stages, the first one carried out off-line, ...
Unbiased Risk Estimates for Singular Value Thresholding and Spectral Estimators
Singular value thresholding Stein’s unbiased risk estimate (SURE) differentiability of eigenvalues and eigenvectors magnetic resonance cardiac imaging
2015/6/17
In an increasing number of applications, it is of interest to recover an approximately low-rank data matrix from noisy observations. This paper develops an unbiased risk estimate—holding in a Gaussian...
Value sharing of meromorphic functions and Fang's problem
uniqueness meromorphic function value sharing polynomial
2010/12/3
In this paper, we shall study the uniqueness problems on meromorphic functions sharing a polynomial. We give a complete answer to a problem posed by Fang Mingliang.Our results improve or generalize th...
Geodesic boundary value problems with symmetry
Optimal control variational principles geodesic fows boundary value problems
2010/4/8
This paper shows how left and right actions of Lie groups on a manifold may be used to complement one another in a variational reformulation of optimal control problems equivalently as geodesic bounda...
Positive solutions for Second-Order Boundary Value Problem with Integral Boundary Conditions at Resonance on a Half-Line
Boundary value problem Resonance Cone Positive solution Coincidence
2010/1/22
This paper deals with the second order boundary value problem with integral boundary conditions on a half-line: a.e. in A new result on the existence of positive solutions is obta...
Uniqueness of Entire or Meromorphic Functions Sharing One Value or a Function With Finite Weight
Meromorphic function Entire function Weighted sharing Uniqueness
2010/4/16
The purpose of this paper is to deal with some uniqueness problems of entire functions or meromorphic functions concerning differential polynomials that share one value or fixed-points with finite wei...
Existence of positive solutions to semipositone singular Dirichlet boundary value problems
existence positive solution semipositone singular problem Dirichlet boundary conditions $\phi$-Laplacian
2007/12/13
The paper presents the conditions which guarantee that for some positive value of $\mu$ there are positive solutions of the differential equation $(\phi(x'))'+\mu Q(t,x,x')=0$ satisfying the Dirichlet...
Mean value on the difference between a quadratic residue and its inverse modulo p
An integer and its inverse Bernoulli numbers Cochrane sums
2007/12/11
The main purpose of this paper is to use the generalized Bernoulli numbers, Gauss sums and the mean value theorems of Dirichlet $L$-functions to study the asymptotic property of the difference between...
Positive Solutions for Second-Order $m$-Point Boundary Value Problems on Time Scales
time scales positive solution Schauder fixed point theorem
2007/12/11
Let $\Bbb{T}$ be a time scale such that $0,T\in \Bbb{T}$. By means of the Schauder fixed point theorem and analysis method, we establish some existence criteria for positive solutions of the $m$-point...