Parameter space
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In generative art people talk about parameter space as the set of possible parameters for a generative system.
In statistics one can study the distribution of a random variable. Several models exist, the most common one being the normal distribution (or Gaussian distribution). When the distribution is known explicitly, it often depends on several parameters. A parameter space is simply the set of values that this parameter can take. For example, if we toss a coin, we can use the Bernoulli distribution of parameter [p]. In this case the parameter space is the intervall [[0,1]].
More precisely, [\Theta] is a parameter space of dimension [p\in\mathbb^*] if there exists a [p]-dimensional vector space [E] such that [\Theta\subseteq E]. [p] is called number of parameters.
For example, [\mathbb\times\mathbb^+] is a parameter space because it is included in [\mathbb^2]. It is the parameter space for the normal distribution.
See also
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