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Information Transmission using the Nonlinear Fourier Transform, Part II: Numerical Methods
Fiber-optic communications forward nonlinear Fourier transform Zakharov-Shabat spectral problem numerical methods
2012/4/23
In this paper, numerical methods are suggested to compute the discrete and the continuous spectrum of a signal with respect to the Zakharov-Shabat system, a Lax operator underlying numerous integrable...
Decomposition Methods for Large Scale LP Decoding
LP Decoding Alternating Direction Method of Multipliers Information Theory
2012/4/18
When binary linear error-correcting codes are used over symmetric channels, a relaxed version of the maximum likelihood decoding problem can be stated as a linear program (LP). This LP decoder can be ...
Blending Bayesian and frequentist methods according to the precision of prior information with an application to hypothesis testing
blended inference confidence distribution confidence posterior hybrid inference maximum entropy
2011/9/30
Abstract: The following zero-sum game between nature and a statistician blends Bayesian methods with frequentist methods such as p-values and confidence intervals. Nature chooses a posterior distribut...
There exists a strong connection between numerical methods for the integration of ordinary differential equations and optimization problems. In this paper, we try to discover further their links. And ...
SECOND-ORDER CONVERGENCE PROPERTIES OF TRUST-REGION METHODS USINGINCOMPLETE CURVATURE INFORMATION, WITH AN APPLICATION TO MULTIGRID OPTIMIZATION
Nonlinear optimization Convergence to local minimizers Multilevel problems
2007/12/11
Convergence properties of trust-region methods for unconstrained nonconvex
optimization
is considered in the case where information on the objective function's local
curvature is incomplete, in the...
MAXIMUM ENTROPY METHODS FOR CONSTRAINED OPTIMIZATION AND MINIMAX PROBLEMS
Maximum entropy methods constrained opt
2007/8/7
This paper presents the maximum entropy methods for nonlinearly constrained optumzation and ndulmax problems. Some properties of these method are given. Convergence theorems of the maximum entopy meth...