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Existence and Uniqueness of Optimal Matrix Scalings
diagonal similarity scalings scaled singular value minimization irreducible matrices
2015/7/13
We show that the set of diagonal similarity scalings that minimize the scaled singular value of a matrix is nonempty and bounded if and only if the matrix that is being scaled is irreducible. For an i...
Existence and Uniqueness of Optimal Matrix Scalings
diagonal similarity scalings scaled singular value minimization irreducible matrices
2015/7/13
We show that the set of diagonal similarity scalings that minimize the scaled singular value of a matrix is nonempty and bounded if and only if the matrix that is being scaled is irreducible. For an i...
Parallelism, Uniqueness, and Large-Sample Asymptotics for the Dantzig Selector
Lasso,Regularizedregression Variableselectionandestimation.
2012/11/21
The Dantzig selector (Candes and Tao, 2007) is a popular l1-regularization method for variable selection and estimation in linear regression. We present a very weak geometric condition on the observed...
Uniqueness of the maximum likelihood estimator for k-monotone densities
uniqueness k–monotone density mixture mod-els density estimation maximum likelihood nonparametric estimation shape constraints
2010/3/9
We prove uniqueness of the maximum likelihood estimator for
the class of k?monotone densities.
AMS 2000 subject classifications: Primary 62G07.
Uniqueness and extremality for a class of multiply-stochastic measures
Uniqueness extremality a class of multiply-stochastic measures
2009/9/24
Uniqueness and extremality for a class of multiply-stochastic measures。
On a uniqueness property of alpha-spherical distributions
a uniqueness property alpha-spherical distributions
2009/9/22
A distribution of an a-spherical random vector is
shown to be uniquely determined by a distribution of quotients
On uniqueness of the Euler limit of one-component lattice gas models
the Euler limit one-component lattice gas models
2009/6/12
On uniqueness of the Euler limit of one-component lattice gas models.
Uniqueness and non-uniqueness in percolation theory
percolation uniqueness of the infinite cluster transitive graphs amenability
2009/5/18
This paper is an up-to-date introduction to the problem of uniqueness versus non-uniqueness of infinite clusters for percolation on $Z^d$ and more generally on transitive graphs. For iid percolation o...
On Uniqueness of a Solution of Lu=u^a with Given Trace
superdiffusion moderate solutions trace of a solution explosion points
2009/5/4
A boundary trace (G, m) of a solution of Delta u = u^a in a bounded smooth domain in R^d was first constructed by Le Gall who described all possible traces for a = 2, d= 2 in which case a solution is ...
Existence and uniqueness of solutions for BSDEs with locally Lipschitz coefficient
backward stochastic dierential equations (BSDE) locally Lipschitz function
2009/4/29
We deal with multidimensional backward stochastic differential equations (BSDE) with locally Lipschitz coefficient in both variables $ y,z $ and an only square integrable terminal data. Let $ L_N $ be...
Uniqueness of the mixing measure for a random walk in a random environment on the positive integers
random walk in a random environment mixingmeasure
2009/4/29
Consider a random walk in an irreducible random environment on the positive integers. We prove that the annealed law of the random walk determines uniquely the law of the random environment. An applic...
Uniqueness of multi-dimensional infinite volume self-organized critical forest-fire models
forest-fires self-organized criticality forest-fire model unique adapted
2009/4/23
In a forest-fire model, each site of the square lattice is either vacant or occupied by a tree. Vacant sites get occupied according to independent rate 1 Poisson processes. Independently at each site ...
Pathwise uniqueness for reflecting Brownian motion in certain planar Lipschitz domains
reecting Brownian motion
2009/4/22
We give a simple proof that in a Lipschitz domain in two dimensions with Lipschitz constant one, there is pathwise uniqueness for the Skorokhod equation governing reflecting Brownian motion.
Uniqueness of the mixing measure for a random walk in a random environment on the positive integers
random walk random environment
2009/4/22
Consider a random walk in an irreducible random environment on the positive integers. We prove that the annealed law of the random walk determines uniquely the law of the random environment. An applic...
Uniqueness of multi-dimensional infinite volume self-organized critical forest-fire models
multi-dimensional infinite forest-fire models
2009/4/3
In a forest-fire model, each site of the square lattice is either vacant or occupied by a tree. Vacant sites get occupied according to independent rate 1 Poisson processes. Independently at each site ...