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)

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

3. Voronoi Diagram 3 Preprocessing time Space Query time

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

5. Uncertainty Models 5 Uncertainty region

6. Probabilistic Nearest Neighbor (PNN) 6

7. Problem Definition 7

8. Prior Work 8

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

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

11. 11 Preprocessing time SpaceQuery time Preprocessing time SpaceQuery time

12. 12

13. 13 Preprocessing time SpaceQuery time

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