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with properties
multi-modal, non-separable
scalable,
minimum x =(0 ,..., 0) T , with
f ( x )=0.
A.3 Ridge Functions
Sharp Ridge
Minimize
N
IR N
x i
f ( x )=
x 1 + 100
with x
(A.7)
i =2
One coordinate is linearly added to the function. The function is converging
towards infinity. x 0
100 , 100] N .
[
2000
1500
1000
500
0
-10
10
-5
5
0
0
5
-5
-10
10
Fig. A.4. Plot of the sharp ridge function
Parabolic Ridge
Minimize
N
IR N
x i
f ( x )=
x 1 +
with x
(A.8)
i =2
200
150
100
50
0
10
5
0
-10
-5
-5
0
5
-10
10
Fig. A.5. Plot of the parabolic ridge function
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