Summary
Learning Algorithm
(1) Initialize weight vectors (Wi,
i-1,2..— kl) for the k output neurons to
either small random values or small
uniform values because sample-
dependent initialization avoids many
pathologies that can distort nearest-
neighbor learning.
Competitive
(2) Present random input vector,
Y. Find the closest or "winning" weight
vector (Wj) by using excitation function
E.
Ej =E (| Y - Wj) = min | Wi- Y|
I
where || Y ||2 = Yı2+Y22 + Y32 +
Yn?, which defines the squared
Euclidean vector norm of Y.
(3) Update the winning weight
vector (Wj*) by the following learning
rule:
Wj* 2 Wj*n(Y-Wj)
where n is an learning rate,
and 0 «mn«1.
(4) Present next random input
vector.
Typical a set of random input
vectors will cycle through the network a
number of times until a stable clustering
gas evolved. Besides, in the majority of
cases the distance Ej are calculated using
the Euclidean distance function although
frequently the Manhattan ("city block")
or some kind of statistical distances
(variance) are used as well.
3. Data Source and Experimental
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In this research, Landsat-7
Thematic Mapper (TM) image is used as
input to a competitive learning neural
network. The TM 7-band imagery of the
region was obtained in Columbus, Ohio,
1988 (Dr. Merry, personal
communication, 1995). The network is
unsupervised training to associate the
spectral data of each pixel with one of
10, 15, and 30 possible land cover
categories. There are a total of 270,000
pixels (with band 3, 4, 5) and 630,000
pixels (from band 1 to 7) of testing
datasets. These pixels are contained
within a 300 x 300 pixel region within
the area which is about 5 miles north of
Columbus, Ohio. The ground truths of
land cover data (road and water) for the
region were obtained by topographic
map (from Engineering Department of
Franklin County, Ohio) at scale about
1:4748 that was cover the area on 1987.
Compared using TM bands 3, 4,
and 5 with TM bands 1-7, the visual
viewing results are not great difference.
However, the final performance of the
CL is measured by the proportion of the
total pixels assigned to the correct land
cover category, and the overall
percentage ^ correctly characterized
(PCC). The PCC for each category type
is calculated. A minimum classification
accuracy of 8596 has been suggested for
remote sensing data. This level of
performance is not expected at this
research stage. The results are far below
than suggested accuracy, and one of the
output results is in the Appendix.
4. Discussion and Conclusion e
AS" noted" by Grossberg,
Rumelhart and Zipser, and among
International Archives of Photogrammetry and Remote Sensing. Vol. XXXI, Part B7. Vienna 1996
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