Download Data Structure and Algorithms to Support the Identifications of

Data Structures and Algorithms to
support the identification of banded
patterns in Zero-One data
By
Fatimah Abdullahi
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Related work
• The work of Junttila and Mannila on Banded
structures in Binary matrices.
• Banded pattern as ordering the rows and
columns so the non zero entries shows
staircase pattern of overlapping rows
d e a c b
d e a c b
d e a c b
A 0 1 1 0 0
A 0 1 1 0 0
C 1 1 0 0 0
B 0 0 0 1 1
B 0 0 0 1 1
A 0 1 1 0 0
C 1 1 0 0 0
C 1 1 0 0 0
D 0 0 1 1 0
D 0 0 1 1 0
D 0 0 1 1 0
B 0 0 0 1 1
2
Nested Pattern
a b c d e f
e a d b c f
e a d b c f
A 1 0 0 1 1 0
A 1 1 1 0 0 0
D 1 1 1 1 1 1
B 1 0 0 1 1 0
B 1 1 1 0 0 0
E 1 1 1 1 0 0
C 0 0 0 0 1 0
C 1 0 0 0 0 0
A 1 1 1 0 0 0
D 1 1 1 1 1 1
D 1 1 1 1 1 1
B 1 1 1 0 0 0
E 1 1 0 1 1 0
E 1 1 1 1 0 0
C 1 0 0 0 0 0
C1P (Consecutive one property)
a b
c d e
d b c
a e
1 1 1
1 1 0
1 1 1 1
1 0
2 1 1
1 0 0
2 0 1 1
1 0
3 1 0
1 0 0
3 0 0 1
1 0
4 1 0
0 0 1
4 0 0 0
1 1
Banded pattern is the rearrangement of the
columns so that the nonzero entries forms a
stair case pattern of overlapping rows. An
example is presented in Table 1
Is it possible to find
banded patterns in 3-D
data?
A B
C
D
D B A C
1
0
1
0
1
1 1 1 0 0
2
1
1
0
0
2 0 1 1 0
3
1
0
0
0
3 0 0 1 0
4
1
0
1
0
4 0 0 1 1
5
0
0
1
0
5 0 0 0 1
4
Different views of 3-D data
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Applications
• Paleontological Data (Fossil species and sites)
• Physical Mapping Problems of Genome
(Clones and probe)
• DNA Amplification data set (DNA amplification
record and chromosomal location). etc.
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Categorization of Research
AGENT GROUP
DATA MINING AND ITS
APPLICATIONS
PATTERN FINDINGS
ALGORITHMS
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Thank you
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