Hi everyone
There is something that I do not have so clear. The value of radius threshold introduced in the RCP toolbox is the percentage of the maximal phase space diameter? The maximum value of the radius threshold is 100 (100 %)?
radius threshold
-
saravana
- Junior
- Posts: 2
- Joined: Sat Jun 18, 2016 16:45
- Affiliation (Univ., Inst., Dept.): IIT-Bombay
- Location: powai,Mumbai, India
- Research field: Combustion dynamics
Re: radius threshold
Hey. I'm also looking for the same answer. Did you find out what it is?
-
Norbert
- Expert
- Posts: 198
- Joined: Wed Jan 4, 2006 11:03
- Affiliation (Univ., Inst., Dept.): Potsdam Institute for Climate Impact Research, Germany
- Location: Potsdam, Germany
- Location: Potsdam Institute for Climate Impact Research, Germany
Re: radius threshold
Maybe let's start with the definition of the RP:
Θ(ε–||x(i) – x(j)||
The threshold ε is just a scalar value. Its choice is somehow related to the value range of the time series or the diameter of the phase space. One way to relate ε to this value range or diameter is to have it as a certain fraction of this value range/diameter. Another way is to select it in terms of the standard deviation of the time series.
But back to the phase space diameter:
The phase space is spanned by the components of the vector x(i). We just need to find the minimal xMin and the maximal component xMax of all x(i) and can then calculate the maximal phase space diameter as |xMax – xMin|. The threshold can then be, e.g., 10% of it, ε = 0.1|xMax – xMin|.
Θ(ε–||x(i) – x(j)||
The threshold ε is just a scalar value. Its choice is somehow related to the value range of the time series or the diameter of the phase space. One way to relate ε to this value range or diameter is to have it as a certain fraction of this value range/diameter. Another way is to select it in terms of the standard deviation of the time series.
But back to the phase space diameter:
The phase space is spanned by the components of the vector x(i). We just need to find the minimal xMin and the maximal component xMax of all x(i) and can then calculate the maximal phase space diameter as |xMax – xMin|. The threshold can then be, e.g., 10% of it, ε = 0.1|xMax – xMin|.