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Weak extinction versus global exponential growth of total mass for superdi usions corresponding to the operator Lu + βu − ku2
superdiffusion superprocess measure-valued process gauge theorem Kato class growth bound
2016/1/25
Consider a superdiffusion X on R d corresponding to the semilinear operator A(u) = Lu + βu − ku 2 , where L is a second order elliptic operator, β(·) is in the Kato class and bounded from above,...
Weak extinction versus global exponential growth of total mass for superdi usions corresponding to the operator Lu + βu − ku2
superdiffusion superprocess measure-valued process gauge theorem Kato class growth bound principal eigenvalue
2016/1/20
Consider a superdiffusion X on R d corresponding to the semilinear operator A(u) = Lu + βu − ku 2 , where L is a second order elliptic operator, β(·) is in the Kato class and bounded from above,...
A Primal-Dual Operator Splitting Method for Conic Optimization
Primal-Dual Operator Splitting Method Conic Optimization
2015/7/9
We develop a simple operator splitting method for solving a primal conic optimization problem; we show that the iterates also solve the dual problem. The resulting algorithm is very simple to describe...
Conic Optimization via Operator Splitting and Homogeneous Self-Dual Embedding
Optimization via Operator Splitting Homogeneous Self-Dual Embedding
2015/7/9
We introduce a first order method for solving very large cone programs to modest accuracy. The method uses an operator splitting method, the alternating directions method of multipliers, to solve the ...
Noisy Laplace deconvolution with error in the operator
Laplace convolution blind deconvolution nonparametric adaptive estima-tion linear inverse problems error in the operator
2013/4/28
We adress the problem of Laplace deconvolution with random noise in a regression framework. The time set is not considered to be fixed, but grows with the number of observation points. Moreover, the c...
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...
Integral representations and properties of operator fractional Brownian motions
dichotomy principle integral representations long-range dependence multivariate Brownian motion operator fractional Brownian motion operator self-similarity
2011/3/18
Operator fractional Brownian motions (OFBMs) are (i) Gaussian, (ii) operator self-similar and (iii) stationary increment processes. They are the natural multivariate generalizations of the well-studie...
Operator norm convergence of spectral clustering on level sets
Spectral clustering graph unsupervised classification levelsets connected components
2010/3/10
Following Hartigan [1975], a cluster is defined as a connected component of
the t-level set of the underlying density, i.e., the set of points for which the
density is greater than t. A clustering a...
Interpolation error operator for Hilbert space valued stationary stochastic processes
Interpolation error operator Hilbert space stationary stochastic processes
2009/9/24
In the paper a characterization of interpolation error
operator for Hilbert space valued staiionary stochastic processes is
obtained.
Operator semi-stable probability measures on Banach spaces
Operator semi-stable probability measures Banach spaces
2009/9/23
Operator semi-stable probability measures on Banach spaces。
Some Banach spaces of measurable operator-valued functions
Some Banach spaces measurable operator-valued functions
2009/9/23
Some classes of Banach spaces of measurable operator-
valued functions which are p-integrable with respect to a oertain
operator-valued measure are introduced. As a special case one obtains
the Hil...
On the class of operator stable distributions in a separable Banach space
the class of operator stable distributions a separable Banach space
2009/9/23
On the class of operator stable distributions in a separable Banach space。
Operator-stable processes and operator fractional stable motions
Operator-stable processes operator fractional stable motions
2009/9/22
A new notion of operator-stable processes is introduced
and operator fractional stable motions are discussed as
examples of operator-stable processes.
Operator valued stochastic control in Fock space with applications to orbit tracking and noise filtering
Operator valued stochastic control Fock space applications to orbit tracking
2009/9/22
The control process that minimizes the quadratic performance
functional associated with a quantum system whose evolution
is described by a Hudson-Parthasarathy type stochastic differential
equation...
Dilation theorems for positive operator-valued measures
Dilation theorems positive operator-valued measures
2009/9/22
Let Q(A) be a positive operator-valued measure
defined on a measurable space (X, q. This means that
Q ( A ): L, (M,A , p) + L,( M, A, p) with Q (A) fa0 for f 3 0. Then
Q (-1 has a "dilation" of the...