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What is the difference between each of them?

this wiki page - http://en.wikipedia.org/wiki/Latin_hypercube_sampling says that: "In Orthogonal Sampling, the sample space is divided into equally probable subspaces", which to me sounds like a property of low discrepancy sequence.

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LDS is deterministic, but Orthogonal is still based on pseudo-random. The quadrant defined in Orthogonal looks similar to LDS though.

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Good answer. LDS is also called "quasi-random sequences", because it exhibits some properties similar to uniform random sequences (see wikipedia) – naught101 May 13 '12 at 12:44

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