[R] How to plot hyperbolic iso-lines of a cost function?

Nikos Alexandris nikos.alexandris at felis.uni-freiburg.de
Fri Jun 12 11:34:11 CEST 2009


Hi R-specialists!

I would like to draw some hyperbolic (iso-)lines of a cost function in a
bi-dimensional space ( =shapes of a cost function ), based on (the
general form):

C(x) = c1*Ce + c2*Oe + c3*{ 1 - [ (1 - Ce)^a * (1 - Oe)^b ] }

where:

- Oe/Ce are Omission/Commission (ranging between 0 and 1 ) values in a
bi-dimensional space ( see example of Oe/Ce values [1])
- c1, c2, c3, a and b are some parameters which determine "sensitivity"
of the function


Is there a ready-to-use plotting - function?
Kind regards, Nikos
---

[1] Omission/ Commission errors
0.00000000        0.42497404
0.01012416        0.35377707
0.03150321        0.30218908
0.06158611        0.26031315
0.10188418        0.21955793
0.15558828        0.17899955
0.22511156        0.14204273
0.31663164        0.10425152
0.42728035        0.06922038
0.58420896        0.03561727
0.90368397        0.00000000




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