![]() Material properties in function of the temperature. The inequality constraints are caused by the physical decreasing of some Is shown on a real example concerning the numerical welding simulation, where LHS to honor the desired monotonic constraints. Latin hypercube sampling (cLHS), consists in doing permutations on an initial To build a Latin hypercube sample (LHS) taking into account inequalityĬonstraints between the sampled variables. e.g. In this paper we propose and discuss a new algorithm Latin hypercubes are essentially collections of points on a hypercube that are placed on a cubic/rectangular grid, which possess the property that no two points share any individual coordinate, and every row/column/higher-dimensional-axis is sampled once. The sampling design of the model input variables has to be chosen with caution.įor this purpose, Latin hypercube sampling has a long history and has shown its The more flexible structure of doubly sliced Latin hypercube design allows more flexible. Authors: Matthieu Petelet (CEA-DEN), Bertrand Iooss (Méthodes d'Analyse Stochastique des Codes et Traitements Numériques), Olivier Asserin (CEA-DEN), Alexandre Loredo (EA1859) Download PDF Abstract: In some studies requiring predictive and CPU-time consuming numerical models, design, is studied in detail, including its sampling properties. ![]()
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