搜索结果: 1-15 共查到“Hilbert spaces”相关记录27条 . 查询时间(0.015 秒)
Practical Tikhonov Regularized Estimators in Reproducing Kernel Hilbert Spaces for Statistical Inverse Problems
Tikhonov Regularized Estimators Reproducing Kernel Hilbert Spaces Statistical Inverse Problems
2013/6/13
Regularized kernel methods such as support vector machines (SVM) and support vector regression (SVR) constitute a broad and flexible class of methods which are theoretically well investigated and comm...
Frames and Bases in Tensor Product of Hilbert Spaces
Frame bases Tensor product Frame operator Dual frame Hilbert space
2012/4/17
In this article we develop a theory for frames in tensor product of Hilbert spaces. We show that like bases if Y_1, Y_2, \cdot \cdot \cdot, Y_n are frames for H_1,H_2, \cdot \cdot \cdot, H_n, respecti...
A spectral theory of linear operators on rigged Hilbert spaces under certain analyticity conditions
generalized eigenvalue resonance pole rigged Hilbert space Gelfand triplet generalized function
2011/9/22
Abstract: A spectral theory of linear operators on rigged Hilbert spaces (Gelfand triplets) is developed under the assumptions that a linear operator $T$ on a Hilbert space $\mathcal{H}$ is a perturba...
Approximation properties of certain operator-induced norms on Hilbert spaces
L2 approximation Empirical norm Quadratic functionals Hilbert spaces with reproducing kernels Analysis of M-estimators
2011/6/20
We consider a class of operator-induced norms, acting as finite-dimensional
surrogates to the L2 norm, and study their approximation properties over
Hilbert subspaces of L2. The class includes, as a...
Unitary and Non-Unitary Matrices as a Source of Different Bases of Operators Acting on Hilbert Spaces
finite-dimensional Hilbert space basis of operators star-product scheme
2011/3/4
Columns of d2 ×N matrices are shown to create different sets of N operators acting on d-dimensional Hilbert space.
Local properties of Hilbert spaces of Dirichlet series
Local properties Hilbert spaces Dirichlet series
2010/11/19
We show that the asymptotic behavior of the partial sums of a sequence of positive numbers determine the local behavior of the Hilbert space of Dirichlet series defined using these as weights. This ex...
On the Approximation of Contractive Semigroups of Operators in Discretizable Hilbert Spaces
Contractive Semigroups Evolution Equations Discretizable Hilbert Space
2011/2/25
The Computation of discrete Contractive semigroups becomes necessary when we deal with several types of evolution equations in Discretiz-able Hilbert spaces, in this work we study some properties of t...
Minimax Robust Function Approximation in Reproduction Kernel Hilbert Spaces
RKHS Thin-Plate Splines Smoothing Splines Scattered Data Interpolation and Approximation
2010/4/30
In this paper, we present a unified approach to function approximation in reproducing kernel Hilbert spaces (RKHS) that establishes a previously unrecognized optimality property for several well-known...
Existence and Uniqueness of the Optimal Control in Hilbert Spaces for a Class of Linear Systems
Existence and Uniqueness Optimal Control Controllable Linear Systems Linear Operator
2013/1/28
We analyze the existence and uniqueness of the optimal control for a class of exactly controllable linear systems. We are interested in the minimization of time, energy and final manifold in transfer ...
K-Dimensional Coding Schemes in Hilbert Spaces
Empirical risk minimization estimation bounds K-means clus-tering and vector quantization statistical learning
2010/3/10
This paper presents a general coding method where data in
a Hilbert space are represented by finite dimensional coding vectors. The
method is based on empirical risk minimization within a certain cl...
Iterative method for equilibrium problems and fixed point problem for countable nonexpansive mappings in Hilbert spaces
countable nonexpansive mappings equilibrium problems
2010/9/10
In this paper, we introduce the iterative schemes by the iterative method for finding a common element of the set of an equilibrium problem and the set of fixed points of countable nonexpansive mappin...
Strong convergence theorem for solving equilibrium problems by hybrid method of asymptotically k-strictly pseudo-contractive mappings in Hilbert spaces
asymptotically k-strictly pseudo-contractive equilibrium problems
2010/9/14
In this paper, we introduce the iterative schemes by using hybrid methods for finding a common element of the set of an equilibrium problem and the set of fixed points of asymptotically k-strictly pse...
Tightness criteria for random measures with application to the principle of conditioning in Hilbert spaces
Tightness criteria random measures with application
2009/9/23
Tightness criteria for random measures with application to the principle of conditioning in Hilbert spaces。
A roumula for the density of the norm of stable random vectors in Hilbert spaces
the density of the norm stable random vectors Hilbert spaces
2009/9/23
A roumula for the density of the norm of stable random vectors in Hilbert spaces。
An Elementary Proof of Komlos-Révész Theorem in Hilbert Spaces
Convergence Hilbert space Komlos Révész
2009/2/5
We provide an elementary proof of Komlos-Révész theorem in Hilbert spaces.