|
kNN query |
- 1-NN query of has true answer
|
- Applying 1-NN on l projections gives l collision sets:
|
|
- 2,9,13:
|
|
- 7,10,14:
|
|
- 1,5,11:
|
|
- 8,12,14:
|
- Now majority counting gives
|
- No guarantee of correct answer
|
- Accuracy increases with more runs
|
- It can be proved that is approximately distance preserving provided is so ( already is so!)
|
- Therefore, this is a Monte Carlo algorithm
|
- Time: where is the dimensionality (here, 3)
|
- Extensions for Euclidean space: E2LSH
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|