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Non-Temporal Orderings for Extensional Concept
Drift
Albert Mero˜o-Pe˜uela1,2
n
n
1 Department
2 Data

Stefan Schlobach1

of Computer Science, VU University Amsterdam, NL

Archiving and Networked Services, KNAW, NL

October 22th, 2013
First International Workshop on Semantic Statistics
ISWC 2013

Mero˜o-Pe˜uela, A. et al.
n
n

Extensional Concept Drift
Motivation
Stability of Meaning of Concepts

As the world changes continuously, concepts also change their
meaning over time. We call this concept drift

We call this concept drift
Smooth transitions
Radical transitions (concept shift)
Mero˜o-Pe˜uela, A. et al.
n
n

Extensional Concept Drift
Motivation
Time-Based Stability of Meaning

Concept drift takes place over time. Time is the intuitive ordering
of the data.
Dutch historical census data:
1795 1830 1840 1849 1859 1869 1879 1889 1899 1909 1919 1920
1930 1947 1956 1960 1971

Mero˜o-Pe˜uela, A. et al.
n
n

Extensional Concept Drift
Motivation
Time-Based Stability of Meaning

Concept drift takes place over time. Time is the intuitive ordering
of the data.
Dutch historical census data:
1795 1830 1840 1849 1859 1869 1879 1889 1899 1909 1919 1920
1930 1947 1956 1960 1971
But no time series in the challenge data!
Australia: 2011
France: 2010

Mero˜o-Pe˜uela, A. et al.
n
n

Extensional Concept Drift
Motivation
No-Time Based Stability of Meaning

1

Resignation

2

Discard time for this experiment

No time, no party?

Mero˜o-Pe˜uela, A. et al.
n
n

Extensional Concept Drift
Motivation
No-Time Based Stability of Meaning

Consider time as just one of all possible dimensions that can be
used as data orderings.
Meaningful orderings (i.e. intrinsically dynamic):
GDP per capita
Stock markets
Population density
(Il)literacy

Mero˜o-Pe˜uela, A. et al.
n
n

Extensional Concept Drift
Case-Study
Experiment Setup

Can we detect drastic extensional drifts over orderings other than
time?
E.g. Is there drift in the concept of youth unemployment1 in
Australia/France as a selected ordering grows?
Australia: GDP per capita per state
France: Population density per departement

1

15-24 years old considered standard
Mero˜o-Pe˜uela, A. et al.
n
n

Extensional Concept Drift
Case-Study
Querying

SPARQL template for unfolding RDF Data Cubes
Mero˜o-Pe˜uela, A. et al.
n
n

Extensional Concept Drift
Case-Study
Querying

Data sources: local endpoint, DBPedia (for the orderings)
Mero˜o-Pe˜uela, A. et al.
n
n

Extensional Concept Drift
Case-Study
Querying

Age range
15-19 years

Gender
Male

Age range
15 to 19 years

Location
New South Wales

Gender
Women

Location
Tarn

Mero˜o-Pe˜uela, A. et al.
n
n

Occupation
Unemployed, Total

Occupation
Unemployed

Population
17456

Population
1.345e03

Extensional Concept Drift

GDP
57828

Density
64.17
Case-Study

1.0
0.8
0.6
0.0

0.0

0.2

0.4

p.density.yu

0.6
0.4
0.2

p.gdp

0.8

1.0

Results

1

2

3

4

5

6

7

8

Index

0

20

40

60

80

Index

Drift of youth unemployment in
Australian states using GDP per
capita as ordering

Mero˜o-Pe˜uela, A. et al.
n
n

Drift of youth unemployment in
French departements using
population density as ordering

Extensional Concept Drift
Case-Study

p.density.dist

0.95 0.96 0.97 0.98 0.99 1.00

−1
−2
−4

−3

p.gdp.dist

0

1

Results

2

4

6

8

Index

0

20

40

60

80

Index

Drift of youth unemployment in
Australian states using GDP per
capita as ordering (smooth
function)

Mero˜o-Pe˜uela, A. et al.
n
n

Drift of youth unemployment in
French departements using
population density as ordering
(smooth function)

Extensional Concept Drift
Conclusions

Concept drift: concepts change over time
No time, but party
Meaningful orderings as valuable as time to study concept
drift (smooth transition assumption)
Takes full advantage of Semantic Web data

Mero˜o-Pe˜uela, A. et al.
n
n

Extensional Concept Drift
Thank you
Questions, suggestions?

@albertmeronyo
http://www.cedar-project.nl
http://www.data2semantics.org

Mero˜o-Pe˜uela, A. et al.
n
n

Extensional Concept Drift

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Non-Temporal Orderings for Extensional Concept Drift

  • 1. Non-Temporal Orderings for Extensional Concept Drift Albert Mero˜o-Pe˜uela1,2 n n 1 Department 2 Data Stefan Schlobach1 of Computer Science, VU University Amsterdam, NL Archiving and Networked Services, KNAW, NL October 22th, 2013 First International Workshop on Semantic Statistics ISWC 2013 Mero˜o-Pe˜uela, A. et al. n n Extensional Concept Drift
  • 2. Motivation Stability of Meaning of Concepts As the world changes continuously, concepts also change their meaning over time. We call this concept drift We call this concept drift Smooth transitions Radical transitions (concept shift) Mero˜o-Pe˜uela, A. et al. n n Extensional Concept Drift
  • 3. Motivation Time-Based Stability of Meaning Concept drift takes place over time. Time is the intuitive ordering of the data. Dutch historical census data: 1795 1830 1840 1849 1859 1869 1879 1889 1899 1909 1919 1920 1930 1947 1956 1960 1971 Mero˜o-Pe˜uela, A. et al. n n Extensional Concept Drift
  • 4. Motivation Time-Based Stability of Meaning Concept drift takes place over time. Time is the intuitive ordering of the data. Dutch historical census data: 1795 1830 1840 1849 1859 1869 1879 1889 1899 1909 1919 1920 1930 1947 1956 1960 1971 But no time series in the challenge data! Australia: 2011 France: 2010 Mero˜o-Pe˜uela, A. et al. n n Extensional Concept Drift
  • 5. Motivation No-Time Based Stability of Meaning 1 Resignation 2 Discard time for this experiment No time, no party? Mero˜o-Pe˜uela, A. et al. n n Extensional Concept Drift
  • 6. Motivation No-Time Based Stability of Meaning Consider time as just one of all possible dimensions that can be used as data orderings. Meaningful orderings (i.e. intrinsically dynamic): GDP per capita Stock markets Population density (Il)literacy Mero˜o-Pe˜uela, A. et al. n n Extensional Concept Drift
  • 7. Case-Study Experiment Setup Can we detect drastic extensional drifts over orderings other than time? E.g. Is there drift in the concept of youth unemployment1 in Australia/France as a selected ordering grows? Australia: GDP per capita per state France: Population density per departement 1 15-24 years old considered standard Mero˜o-Pe˜uela, A. et al. n n Extensional Concept Drift
  • 8. Case-Study Querying SPARQL template for unfolding RDF Data Cubes Mero˜o-Pe˜uela, A. et al. n n Extensional Concept Drift
  • 9. Case-Study Querying Data sources: local endpoint, DBPedia (for the orderings) Mero˜o-Pe˜uela, A. et al. n n Extensional Concept Drift
  • 10. Case-Study Querying Age range 15-19 years Gender Male Age range 15 to 19 years Location New South Wales Gender Women Location Tarn Mero˜o-Pe˜uela, A. et al. n n Occupation Unemployed, Total Occupation Unemployed Population 17456 Population 1.345e03 Extensional Concept Drift GDP 57828 Density 64.17
  • 11. Case-Study 1.0 0.8 0.6 0.0 0.0 0.2 0.4 p.density.yu 0.6 0.4 0.2 p.gdp 0.8 1.0 Results 1 2 3 4 5 6 7 8 Index 0 20 40 60 80 Index Drift of youth unemployment in Australian states using GDP per capita as ordering Mero˜o-Pe˜uela, A. et al. n n Drift of youth unemployment in French departements using population density as ordering Extensional Concept Drift
  • 12. Case-Study p.density.dist 0.95 0.96 0.97 0.98 0.99 1.00 −1 −2 −4 −3 p.gdp.dist 0 1 Results 2 4 6 8 Index 0 20 40 60 80 Index Drift of youth unemployment in Australian states using GDP per capita as ordering (smooth function) Mero˜o-Pe˜uela, A. et al. n n Drift of youth unemployment in French departements using population density as ordering (smooth function) Extensional Concept Drift
  • 13. Conclusions Concept drift: concepts change over time No time, but party Meaningful orderings as valuable as time to study concept drift (smooth transition assumption) Takes full advantage of Semantic Web data Mero˜o-Pe˜uela, A. et al. n n Extensional Concept Drift