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Efficient Reverse k-Nearest Neighbor Estimation (2007)
| Content Provider | CiteSeerX |
|---|---|
| Author | Achtert, Elke Böhm, Christian Kröger, Peer Kunath, Peter Pryakhin, Alexey Renz, Matthias |
| Abstract | The reverse k-nearest neighbor (RkNN) problem, i.e. finding all objects in a data set the k-nearest neighbors of which include a specified query object, has received increasing attention recently. Many industrial and scientific applications call for solutions of the RkNN problem in arbitrary metric spaces where the data objects are not Euclidean and only a metric distance function is given for specifying object similarity. Usually, these applications need a solution for the generalized problem where the value of k is not known in advance and may change from query to query. In addition, many applications require a fast approximate answer of RkNN-queries. For these scenarios, it is important to generate a fast answer with high recall. In this paper, we propose the first approach for efficient approximative RkNN search in arbitrary metric spaces where the value of k is specified at query time. Our approach uses the advantages of existing metric index structures but proposes to use an approximation of the nearest-neighbor-distances in order to prune the search space. We show that our method scales significantly better than existing non-approximative approaches while producing an approximation of the true query result with a high recall. |
| File Format | |
| Publisher Date | 2007-01-01 |
| Access Restriction | Open |
| Subject Keyword | Neighbor Estimation Efficient Reverse Arbitrary Metric Space High Recall Metric Index Structure Metric Distance Function Fast Answer Specified Query Object Data Object Search Space Reverse K-nearest Neighbor Query Time Object Similarity True Query Result Efficient Approximative Rknn Search Scientific Application Generalized Problem Fast Approximate Answer Rknn Problem First Approach K-nearest Neighbor Non-approximative Approach |
| Content Type | Text |