100000. When the size of map was 11x11 processing
elements, number of inputvectors was 70000 or 140000.
When the size of map was 19x19 processing elements,
number of inputvectors was 400000.
Parameter for classifier was the number of neighboring
samples, k, used to calculate the value of the conditional
density function of the class. The bias of density
estimate depends on value of k, and value must be
determined experimentally. In these experiments value
of k varied between 1 and 10.
6. RESULTS
Experiments consisted of about 6000 individual testruns.
This is short overview to results.
6.1 Dataset II
First used feature extraction method was Karhunen-
Lówe transformation. Classification error was about 33%
when dataset II with number of samples in class 40
(N=5, d=8) was classified. In this case RES error varied
between 20% - 30% (deviation 4.5% - 5.5%) with varying
k 2 - 10 and LOO error varied between 39% - 36%
(deviation 796 - 896) with varying k 2 - 10. When number
of samples in class was increased (N=10) classification
error was about 34%, RES error varied between 21% -
31% (deviation 3.5% -5%) and LOO error varied between
40% - 36% (deviation 6% - 7.5%). When number of
samples in class was again increased (N=100)
classification error decreased to about 28%, RES error
varied between 19 - 28% (deviation 1% - 1.3%) and LOO
error varied between 35% - 30% (deviation 1.6% - 1.9%).
Transformed two features contained on an average
36.5% from original information (percentage of two
largest eigenvalues from all eigenvalues) when N=5,
33.7% when N=10 and 29.1% when N=100.
The results of SOM case A were independent from
number of samples presented to algorithm and the size
of map, variation between different combinations were
small. When N=5, the average classification error varied
between 37% - 39%, RES error varied between 20% -
33% (deviation 4.5% - 6.5%) and LOO error varied
between 45% - 40% (deviation 7% - 10%). When number
of samples in class was increased (N=10), the average
classification error varied between 34.5% - 36%, RES
error varied between 20% - 33% (deviation 2.5% - 4.8%)
and LOO error varied between 42% - 37% (deviation
4.5% - 6.5%). When number of samples was again
increased (N-100), the average classification error
varied between 34% - 35%, RES error varied between
21% - 32% (deviation 0.9% - 1.8%) and LOO error varied
between 41% - 36% (deviation 1.8% - 2.8%).
Also, the results of SOM case B were independent from
number of samples presented to algorithm and the size
of map, variation between different combinations were
small. When N=5, the average classification error varied
between 37% - 38.5%, RES error varied between 20% -
35% (deviation 4% - 6.5%) and LOO error varied
378
between 45% - 41% (deviation 6.5% - 10%). When
number of samples in class was increased (N=10), the
average classification error varied between 33.5% - 36%,
RES error varied between 21% - 33% (deviation 3% -
4.3%) and LOO error varied between 43% - 38%
(deviation 4.8% - 6.2%). When number of samples was
again increased (N=100), the average classification error
varied between 32% - 33%, RES error varied between
20% - 31% (deviation 0.5% - 1.2%) and LOO error varied
between 38% - 35% (deviation 1.5% - 2.0%).
6.2 Dataset 141
Again, first used feature extraction method was
Karhunen-Lówe transformation. Classification error was
about 45% when dataset I4I with number of samples in
class 40 (N=5, d=8) was classified. In this case RES
error varied between 24% - 40% (deviation 4.1% - 5.1%)
with varying & 2 - 10 and LOO error varied between
51% - 48% (deviation 6.6% - 8%) with varying k 2 - 10.
When number of samples in class was increased (N=10)
classification error was about 44%, RES error varied
between 25% - 38% (deviation 3.2% -4.4%) and LOO
error varied between 49% - 47% (deviation 5.2% - 6.3%).
When number of samples in class was again increased
(N=100) classification error decreased to about 43%, RES
error varied between 24 - 38% (deviation 1% - 1.3%) and
LOO error varied between 48% - 46% (deviation 1.3% -
1.8%). Transformed two features contained on an
average 36.4% from original information when N=5,
33.0% when N=10 and 27.4% when N=100.
SOM case A with N=5, the average classification error
varied between 45% - 47.5%, RES error varied between
24% - 42% (deviation 4.5% - 6.5%) and LOO error varied
between 55% - 50% (deviation 6.5% - 10%). When
number of samples in class was increased (N=10), the
average classification error varied between 45% - 46%,
RES error varied between 24% - 41% (deviation 3% -
4.5%) and LOO error varied between 52% - 49%
(deviation 4.5% - 6.8%). When number of samples was
again increased (N=100), the average classification error
varied between 44.5% - 45.5%, RES error varied between
24% - 41% (deviation 1.0% - 1.5%) and LOO error varied
between 50% - 49% (deviation 1.5% - 2.2%).
SOM case B with N=5, the mean classification error
varied between 45% - 47.5%, RES error varied between
24% - 41% (deviation 4% - 6%) and LOO error varied
between 55% - 50% (deviation 6.5% - 9%). When number
of samples in class was increased (N=10), the mean
classification error varied between 45% - 46%, RES error
varied between 24% - 40% (deviation 2.5% - 4.5%) and
LOO error varied between 51% - 49% (deviation 4% -
6.9%). When number of samples was again increased
(N=100), the mean classification error varied between
43% - 44%, RES error varied between 24% - 40%
(deviation 0.8% - 1.3%) and LOO error varied between
49% - 47% (deviation 1.5% - 2.6%).
6.3 Dataset IA
Classification error with features extracted using
International Archives of Photogrammetry and Remote Sensing. Vol. XXXI, Part B2. Vienna 1996
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