How does MATLAB generate Halton sequences

2016 2 17
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更新时间：2016 4 26
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p = haltonset(d)
constructs a Halton quasi-random point set in d dimensions. Mathematically, the Halton set is basically d van der Corput sequences with different bases. So my question is, which base values does MATLAB use? I opened the code of HALTONSET and QRANDSET, but couldn't figure it out.
I ask this because I am working with Halton sets for my thesis and want to clarify how they are used in MATLAB.

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回答（1 个）

Arnab Sen
Arnab Sen 2016-2-22

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Hi Eric,
You can get the Name of the sequence on which point set P is based from 'Type' property of P. So, the code snippet would be like below:
>> P = haltonset(d)
>> base=P.Type
The base value depends on the dimension provided. If the dimension is 'd' the Bases will be the first 'd' primes. For example for dimension d=5, the Bases is [2,3,5,7,11].

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Eric Schols
Eric Schols 2016-2-22
Thank you for your answer, it seems very logical to me. However, when I try it myself, base returns
Halton
instead of a set of prime numbers. Am I doing something wrong?
Arnab Sen
Arnab Sen 2016-2-23
编辑：Arnab Sen 2016-4-26
you are getting the correct answer. There is no property or function that output bases. I found that by inspecting the MATLAB script haltonset.m itself.
Eric Schols
Eric Schols 2016-3-3
Then how is it results are reproducable? That indicates something is governing the output.

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