Publication | Open Access
<tt>xsample()</tt>: An<i>R</i>Function for Sampling Linear Inverse Problems
120
Citations
11
References
2009
Year
Mathematical ProgrammingSampling (Signal Processing)EngineeringConstrained OptimizationMarkov Chain Monte CarloUncertainty QuantificationSignal ReconstructionSystems EngineeringModeling And SimulationCombinatorial OptimizationLinear Inverse ProblemsInequality ConstraintsSampling TheoryInverse ProblemsComputer ScienceMonte Carlo SamplingSequential Monte CarloNew AlgorithmR FunctionSimulation Optimization
An R function is implemented that uses Markov chain Monte Carlo (MCMC) algorithms to uniformly sample the feasible region of constrained linear problems. Two existing hit-and-run sampling algorithms are implemented, together with a new algorithm where an MCMC step reflects on the inequality constraints. The new algorithm is more robust compared to the hit-and-run methods, at a small cost of increased calculation time.
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