The response variable is derived from x4, x5, x6 using two different
functions. The choice depends on a hidden variable, which determines weather the
response value would follow a linear dependency \(f=x_4-2x_5+3x_6\),
or a nonlinear one \(f=cos(4\pi x_4)(2x_5-3x_6)\).
Attributes a1, a2, x1, x2 carry some information on the hidden
variables depending on parameters t1, t2. Extreme values of the
parameters are t1=0.5 and t2=1, when there is no information.
On the other hand, if t1=0 or t1=1 then each of the attributes
a1, a2 carries full information. If t2=0, then each of x1, x2
carries full information on the hidden variable.
The attributes x4, x5, x6 are available with a noise level depending
on parameter noise
. If noise=0
, there is no noise. If noise=1
, then the level
of the signal and noise are the same.