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A fast three-dimensional (3D) ground penetrating radar (GPR) forward and inverse scattering method is presented based on the diagonal tensor approximation (DTA). For the forward scattering problem, the first iteration about the frequency-dependent scattering coefficients in the DTA is used. By further evaluating the scattering tensor at the GPR center frequency to remove its frequency dependence,...
Origin-destination (OD) network tomography problem is the estimation of OD traffic counts from measurable traffic counts at router interfaces. In this paper the problem is formulated as a linear inverse problem with additive noise and is resolved using Bayesian inversion approach. Both OD traffic counts and noise are modelled as Gaussian random functions, and are represented by Karhunen-Loeve expansion,...
In this paper, we consider inverse maximum flow problem under the weighted Hamming distance. Four models are studied: the problem under sum-type weighted Hamming distance; the problem under bottleneck-type weighted Hamming distance and two mixed types of problems. We present their respective combinatorial algorithms that all run in strongly polynomial times.
Abstract. Let be a finite set, be a family of subsets of and be a capacity vector for all elements of . For each , define the capacity of as the minimum capacity occurring in . The problem which we discuss in this paper is how to change the vector as little as possible so that a given has the maximum capacity. This model contains...
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