Slide 1

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) Slide 2 Nearest Neighbor (NN) Searching 2 Post office problem Find the closest one Slide 3 Voronoi Diagram 3 Preprocessing time Space Query time Slide 4 Data Uncertainty Location of data is imprecise: Sensor databases, face recognition, mobile data, etc. 4 Slide 5 Uncertainty Models 5 Uncertainty region Slide 6 Probabilistic Nearest Neighbor (PNN) 6 Slide 7 Problem Definition 7 Slide 8 Prior Work 8 Slide 9 Our Results Nonzero NNs 9 Preprocessing time (expected) SpaceQuery time Slide 10 Our Results Nonzero NNs 10 Preprocessing time SpaceQuery time Preprocessing time SpaceQuery time Slide 11 11 Preprocessing time SpaceQuery time Preprocessing time SpaceQuery time Slide 12 12 Slide 13 13 Preprocessing time SpaceQuery time Slide 14 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