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Highly Robust Error Correction by Convex Programming
Linear codes decoding of (random) linear codes sparse solutions to underdetermined systems `1 minimization linear programming second-order cone programming the Dantzig selector restricted orthonormality Gaussian random matrices and random projections
2015/6/17
This paper discusses a stylized communications problem where one wishes to transmit a real-valued signal x ∈ Rn (a block of n pieces of information) to a remote receiver. We ask whether it is possible...
Error Correction via Linear Programming
Linear codes decoding of (random) linear codes sparse solutions to underdetermined systems `1-minimization linear programming restricted orthonormality Gaussian random matrices.
2015/6/17
Suppose we wish to transmit a vector f ∈ Rn reliably. A frequently discussed approach consists in encoding f with an m by n coding matrix A. Assume now that a fraction of the entries of Af are corrupt...
Error Analysis of a Dual-parametric Bi-quadratic FEM in Cavitation Computation in Elasticity
error analysis dual-parametric bi-quadratic finite element
2014/12/5
The orientation preserving conditions and approximation errors of a dual-parametric bi-quadratic finite element method for the computation of both
radially symmetric and general nonsymmetric cavity s...
A posteriori error estimator based on gradient recovery by averaging for convection-diffusion-reaction problems approximated by discontinuous Galerkin methods
averaging convection-diffusion-reaction problems discontinuous Galerkin methods
2010/11/9
We consider some (anisotropic and piecewise constant) convection-diffusion-reaction problems in domains of R2, approximated by a discontinuous Galerkin method with polynomials of any degree. We propos...
Optimal error bounds for two-grid schemes applied to the Navier-Stokes equations
two-grid schemes the Navier-Stokes equations
2010/11/18
We consider two-grid mixed-finite element schemes for the spatial discretization of the incompressible Navier-Stokes equations. A standard mixed-finite element method is applied over the coarse grid ...
The E8 Lattice and Error Correction in Multi-Level Flash Memory
E8 Lattice Error Correction Multi-Level Flash Memory
2010/12/14
A construction using the E8 lattice and Reed-Solomon codes for error-correction in flash memory is given. Since E8 lattice decoding errors are bursty, a Reed-Solomon code over GF(28) is well suited. T...
Recently, Ebrahimi and Fragouli proposed an algorithm to construct scalar network codes using small fields (and vector network codes of small lengths) satisfying multicast constraints in a given singl...
We examine a simple averaging formula for the gradient
of linear finite elements in $R^d$ whose interpolation order
in the $L^q$-norm is $\Cal O(h^2)$ for $d<2q$ and nonuniform
triangulations. For ...
Korovkin Type Error Estimates for Positive Linear Operators Involving Some Special Functions
Positive linear operators Korovkin-Bohman theorem Bernstein power series generating function, Pochhammer symbol hypergeometric function Peetre´ s K-functional first and second order modulus of continuities functional differential equation
2010/2/25
In the present paper, we introduce a new sequence of linear positive operators with the help of generating functions. We obtain some Korovkin type approximation properties for these operators and comp...
期刊信息
篇名
A New class of Nonlinear Error control Codes based on Neural Networks
语种
英文
撰写或编译
作者
Jin Fan
第一作者单位
刊物名称
Journal of Southwest Jiaotong
页面
1995，Vol.3，No.2
出版日期
1995年
月
日
文章标识(ISSN)
相关项目
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