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Discrepancy of a sample on Latin Hypercube Sampling

I'm currently working on Design of Experiments (DoE) in order to obtain data to, later on, make some FEM simulations. The starting point is: we want to make those simulations (that depends on some ...
Robert's user avatar
  • 113
2 votes
1 answer
60 views

Optimizing Sampling Strategy to Enhance Uniformity Under Conditional Constraints

I am facing a challenge in a project that involves sampling from a design space defined by 10 variables. I use Latin Hypercube Sampling (LHS) and/or Sobol sequences, and initially, the samples are ...
user avatar
2 votes
1 answer
200 views

How could proving the result of variance of estimator in Latin Hypercube Sampling

Ok i almost freak out of this!!!! i've to doing some presented about this paper (M.D.MCKAY,J.BECKMAN, W.J.CONOVER (1979). It's about comparing methods for selecting values (Random Sampling, Stratifed ...
Nishikido_MH's user avatar
2 votes
1 answer
852 views

Latin hypercube sampling for both float and integers

I am using Latin hypercube sampling to generate the combinations of 5 parameters. In these 5 parameters, the values of two parameters can be float numbers, while the values of three parameters must be ...
Kevin's user avatar
  • 23
2 votes
1 answer
203 views

Is it necessary to shuffle x coordinates in Latin Hypercube Sampling (LHC)?

I am dealing with some implementations details about LHC sampling and I found that the common algorithm is as follows: Determine the limits for each cell (row/column) Sample a random number in each ...
Ezequiel Castaño's user avatar
2 votes
1 answer
833 views

Convergence of random sample vs. Latin Hypercube Sampling

Latin Hypercube Sampling, by concept, should be able to yield convergence of an estimate of output at a lower number of samples than random sampling. With the model I am working on, I'm continuously ...
ss_19's user avatar
  • 309
5 votes
1 answer
368 views

Is there a way to check if sample obeys the Latin Hypercube Sampling rule?

I was wondering if there is a way to check if a certain sample of a large size obeys the Latin Hypercube Sampling rule. I know that for smaller samples, I can easily visualize the sample points to see ...
ss_19's user avatar
  • 309
2 votes
1 answer
1k views

Taking samples of data using Latin Hypercube Sampling

Info: Newbie in Latin Hypercube Sampling (LHS) I have a number of variables/parameters that have different number of elements: $A = [1,2,3],$ $B = [1,2],$ and $C = [1,2,3,4]$ From these arrays I ...
jAdex's user avatar
  • 123
0 votes
1 answer
236 views

Algorithmic or structural limitations of space-filling Latin hypercube sampling

I'm new to Latin hypercube sampling, and am trying to understand if the somewhat odd sampling that results from the Matlab function lhsdesign is a limitation of the ...
TTT's user avatar
  • 101
0 votes
0 answers
154 views

Method for Sampling High Dimensionality Simulation (similar to Latin Hypercube Sampling)

I need to calculate the expected outputs (Yj) from a large non-linear simulation model (Mj) which takes 2^N possible input strings (Bi), each with known probability fi (simple binomial). N is ...
Simon Woodward's user avatar
5 votes
1 answer
1k views

Is it valid to use latin-hypercube sampling in parallel sampling?

I am sampling from a model 10 times in series, doing this in 50 parallel processes. I am using LHS to generate samples each set of ten samples, although each of the 50 parallel runs' samples are ...
kilojoules's user avatar
4 votes
1 answer
2k views

When is Latin Hypercube Sampling (LHS) a good idea?

In this paper: http://salserver.org.aalto.fi/vanhat_sivut/Opinnot/Mat-2.4108/pdf-files/emat08.pdf [1] equation 6 shows that if $\operatorname{ cov} \left(f\left(x_1\right),f\left(x_2\right)\right)$ is ...
kilojoules's user avatar
1 vote
0 answers
120 views

Offshore Wind Assessment

Does anyone know if Latin Hypercube sampling can be effective in the statistical analysis of offshore wind time series in order to reproduce random wind fields with a small amount of observed data? ...
Loukas Kt.'s user avatar
12 votes
2 answers
3k views

Latin Hypercube Sampling Asymptotics

I am trying to construct a proof for a problem I am working on and one of the assumptions that I am making is that the set of points I am sampling from is dense over the entire space. Practically, I ...
user avatar
3 votes
1 answer
560 views

Are Latin hypercube samples uncorrelated

I understand the basics to Latin hypercube sampling, such as implemented by the algorithm LHSA mentioned in the book Design and Modeling for Computer Experiments. But I'd like to make sure: 1, n ...
wqp89324's user avatar
2 votes
2 answers
3k views

Is there an equivalent to LHS for a discrete input space?

I was wondering if there is a method that is equivalent to Latin Hypercube Sampling when the input space you are trying to sample from are a finite discrete set of possible values. For example, if I ...
Dan's user avatar
  • 1,170
8 votes
1 answer
6k views

How to determine the sample size of a Latin Hypercube sampling?

I am designing an experiment with 5 variables. Some of the variables have 2 and others have 3 levels. The method that I am going to use is the Latin Hypercube, but I do not not what the sample size ...
Asal's user avatar
  • 81
7 votes
1 answer
2k views

Increase the sample size of a Latin Hypercube study?

I want to create a climate model ensemble, testing 5 parameters (real, uniformly distributed between two values), using a latin hypercube approach. The problem is that I'm not sure how many ...
naught101's user avatar
  • 5,541
8 votes
3 answers
7k views

Is Latin hypercube sampling effective in multiple dimensions?

I am currently using a Latin Hypercube Sampling (LHS) to generate well-spaced uniform random numbers for Monte Carlo procedures. Although the variance reduction that I obtain from LHS is excellent for ...
Berk U.'s user avatar
  • 5,145
6 votes
0 answers
726 views

Choosing the number of latin hypercube samples [closed]

I'm using latin hypercube sampling to draw parameter values for an epidemiological simulation model (about 30 parameters, following various distributions), and so far I haven't been able to find any ...
cjauvin's user avatar
  • 613