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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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