Imagine we have an 7-D function f(P_i), i=1,...,7. Fortunately, we can create our own data sets for training, i.e we can choose as many samples from the sample space of each P_i (the sample space is known), what I need to know is that how we should choose our data sets for training? (for example, a uniform random selection from the sample space of each parameter is a good choice?)

example:

as an example, I want to approximate a bi-variate Gaussian function which is the function of x1,x2 , mux1,mux2(mean of the distribution), sigmax1,sigmax2 , ro (variance of the distribution)

f(x1,x2,mux1,mux2,sigmax1,sigmax2,ro) and the sample space of each parameter is known to me, for example I know a

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