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Ontological Distance Based on Spatial Point Patterns

Ontological Distance Based on Spatial Point Patterns. Ray Dos Santos – Mar 24, 2013. Mapping to an ontology. A fisherman suffered an accident when his boat broke in Anchorage. C. A. VEHICLE. boat. PEOPLE_BY_VOCATION. truck. B. police_officer. CATASTROPHE. clerk. plane. fisherman.

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Ontological Distance Based on Spatial Point Patterns

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  1. Ontological Distance Based on Spatial Point Patterns Ray Dos Santos – Mar 24, 2013

  2. Mapping to an ontology A fisherman suffered an accident when his boat broke in Anchorage. C A VEHICLE boat PEOPLE_BY_VOCATION truck B police_officer CATASTROPHE clerk plane fisherman train tragedy crash car mishap casualty accident There were 1.2 million car mishaps reported by the police of Fairbanks.

  3. Related Works S(XK,YK) Frequency, probability

  4. Ripley’s K • Ripley’s K function: expected number of events within distance d of an event, divided by mean intensity in the study area crash accident λ 1 λ λ sum of number of objects with attributes i and j that fall within distance d λ = # points / area

  5. N(1m) Ripley’s K 2 3 2 1 d=1m 2 1 0 2 1 2 5m 16 E(N) = 16 / 10 = 1.6 λ = 10 / 25= 0.4 K(1) = 1.6 / 0.4 = 4 5m 4 λ 1 1 λ λ

  6. Conclusion B A fisherman suffered an accident when his boat broke in SF Bay. source 1 CATASTROPHE Last year there were 1.2 million car crashes reported by police in downtown SF. source 2 4 tragedy crash mishap casualty accident dist(crash,accident) = 4 • must also compute: • dist(crash,tragedy) • dist(crash,casualty) • dist(tragedy,mishap) • dist(tragedy,accident) … sim(source1,source2) = sim(crash,accident) + sim(boat,car) + sim(fisherman,police)

  7. Conclusion Ripley’s K function allows scaling: 0 to 5m, 0 to 10m, 0 to 100m, … PCR: pair correlation function per segment: 0 to 5m, 5m to 10m, …

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