When
)), the
- 36%,
| 3% -
- 38%
'S Was
| error
tween
varied
| was
or was
oles in
o RES
5.1%)
tween
2 - 10.
N-10)
varied
| LOO
6.3%).
reased
o, RES
Jo) and
1.3% -
on an
UN,
| error
tween
varied
When
0), the
- 46%,
1 3% -
- 49%
es was
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varied
| error
tween
varied
umber
mean
S error
%) and
n 4% -
reased
etween
- 40%
otween
using
Karhunen-Lówe transformation was about 10% when
dataset IA with number of samples in class 40 (N=5,
d=8) was classified. In this case RES error varied
between 7% - 10% (deviation 2.8% - 3.5%) with varying
k 2 - 10 and LOO error varied between 13% - 10%
(deviation 3.5% - 4.7%) with varying k 2 - 10. When
number of samples in class was increased (N=10)
classification error was about 10.5%, RES error varied
between 7% - 10% (deviation 2.5% -3.3%) and LOO error
varied between 13% - 11% (deviation 3.4% - 4.1%). When
number of samples in class was again increased (N=100)
classification error decreased to about 10%, RES error
varied between 7% - 10% (deviation 0.5% - 0.8%) and
LOO error varied between 12% - 10% (deviation 0.8% -
1.0%). Transformed two features contained on an
average 46.6% from original information when N=5
44.8% when N=10 and 43.0% when N=100.
?
SOM case A with N=5, the average classification error
varied between 13% - 14.5%, RES error varied between
8% - 13% (deviation 4.5% - 6.5%) and LOO error varied
between 16% - 13% (deviation 6.5% - 10%). When
number of samples in class was increased (N=10), the
average classification error varied between 11.5% -
12.5%, RES error varied between 8% - 11% (deviation
3% - 4.5%) and LOO error varied between 14% - 12%
(deviation 4.5% - 6.8%). When number of samples was
again increased (N=100), the average classification error
was 10.5% in all cases, RES error varied between 8% -
10% (deviation 1.0% - 1.5%) and LOO error varied
between 13% - 11% (deviation 1.5% - 2.2%).
SOM case B with N=5, the average classification error
varied between 13.5% - 15.5%, RES error varied between
7% - 14% (deviation 2.8% - 5.8%) and LOO error varied
between 17% - 14% (deviation 3.8% - 5.6%). When
number of samples in class was increased (N=10), the
average classification error varied between 12% - 13.5%,
RES error varied between 8% - 12% (deviation 1.8% -
3.2%) and LOO error varied between 16% - 13%
(deviation 2.4% - 4.2%). When number of samples was
again increased (N=100), the average classification error
varied between 11% - 12.5%, RES error varied between
8% - 12% (deviation 0.6% - 1.2%) and LOO error varied
between 13% - 12% (deviation 1.0% - 1.5%).
7. CONCLUSIONS
The classification errors using different feature
extraction methods were quite same, differences were
small. Main difference was when number of samples per
class was small, then the classification errors with
features computed using Karhunen-Lôwe transformation
were smaller than the classification errors with features
computed using SOM. Another difference was when
dataset II was used, then the classification errors with
features computed using Karhunen-Lówe transformation
were also smaller. When the number of samples per
class increased, the difference decreased. In these cases
feature extraction methods based on SOM can be used,
because computational time is shorter.
379
8. REFERENCES
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Fukunaga, K., 1990. Introduction to Statistical Pattern
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Hecht-Nielsen, R., 1990. Neurocomputing. Addison-
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Kangas, J., 1994. On the analysis of pattern sequences
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Finland.
Kohonen, T., 1990. The self-organizing map. Proceedings
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Lippmann, R.P., 1987. An introduction to computing
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International Archives of Photogrammetry and Remote Sensing. Vol. XXXI, Part B2. Vienna 1996