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Nearest-Neighbor Searching Under Uncertainty II Pankaj K. Agarwal(Duke) Boris Aronov(NYU-Poly) Sariel Har-Peled(UIUC) Jeff M. Phillips(Utah) Ke Yi(HKUST) Wuzhou Zhang(Duke)

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Nearest Neighbor (NN) Searching 2 Post office problem Find the closest one

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Voronoi Diagram 3 Preprocessing time Space Query time

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Data Uncertainty Location of data is imprecise: Sensor databases, face recognition, mobile data, etc. 4

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Uncertainty Models 5 Uncertainty region

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Probabilistic Nearest Neighbor (PNN) 6

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Problem Definition 7

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Prior Work 8

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Our Results Nonzero NNs 9 Preprocessing time (expected) SpaceQuery time

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Our Results Nonzero NNs 10 Preprocessing time SpaceQuery time Preprocessing time SpaceQuery time

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11 Preprocessing time SpaceQuery time Preprocessing time SpaceQuery time

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13 Preprocessing time SpaceQuery time

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Future Work 14 The PNN problem under the existential model The non-zero NN definition does not make sense Solutions here cannot be directly adapted

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