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space-filling-does - Space Space-Filling DOEs DOEs These...

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Space-Filling DOEs Space Filling DOEs • These designs use values of variables These designs use values of variables inside range instead of at boundaries •Latin hypercubes, one popular space- Latin hypercubes, one popular space filling DOE uses as many levels as design points Space-filling term is appropriate for low dimensional spaces For high-dimensional spaces, we cannot afford to “fill” the space.
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Monte Carlo sampling A method for propagating probability distributions. Gi i i d i i Given a region in design space, we can assign a uniform distribution to the region and sample points to generate DOE It is likely, though, that some regions will be poorly sampled In 5-dimensional space, with 32 sample points, what is the chance that all orthants will be occupied? (31/32)(30/32) (1/32) 1 8 13 – (31/32)(30/32)…(1/32)=1.8e-13.
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Latin Hypercube sampling • Each variable range divided into n equal Each variable range divided into y equal probability intervals
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Latin Hypercube
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