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Local Dimensionality Reduction: A New Approach to Indexing High Dimensional Spaces

Summary: Local Dimensionality Reduction (LDR) discovers locally correlated clusters and reduces dimensionality within each cluster, avoiding global PCA's distance loss on non-global data. A cluster-aware index supports point, range, and kNN queries with lower cost than GDR or scans. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID
hd7fca381eedc04ec
Venue
VLDB
Year
2000
Pagerank
0.0001001862
Overall Rank
1,634 | 89.02%
DOI
-

Incoming Non-self Citations Over Time

Authors

BibTeX Citation

@article{chakrabarti_vldb00,
        title = {{Local Dimensionality Reduction: A New Approach to Indexing High Dimensional Spaces}},
        author = {Chakrabarti, Kaushik and Mehrotra, Sharad},
        journal = {PVLDB},
        series = {{VLDB} '00},
        year = {2000}
}

Incoming Citations (Sorted by Pagerank)

Showing 18 of 18 citing papers.

Rank Citing Paper Year Venue Pagerank
193 Locally Adaptive Dimensionality Reduction for Indexing Large Time Series Databases 2001 SIGMOD 0.00025648171
1,294 Indexing Spatio-Temporal Trajectories with Chebyshev Polynomials 2004 SIGMOD 0.00011145111
3,016 Indexing the Distance: An Efficient Method to KNN Processing 2001 VLDB 7.7483267e-05
3,230 Similarity Query Processing for High-Dimensional Data 2020 VLDB 7.5056037e-05
3,507 Approximate Embedding-Based Subsequence Matching of Time Series 2008 SIGMOD 7.2494536e-05
3,618 A Monte Carlo Algorithm for Fast Projective Clustering 2002 SIGMOD 7.1559402e-05
4,299 Outlier Detection for High Dimensional Data 2001 SIGMOD 6.6789252e-05
4,714 Towards Effective Indexing for Very Large Video Sequence Database 2005 SIGMOD 6.4555106e-05
4,972 Computing Clusters of Correlation Connected Objects 2004 SIGMOD 6.3318975e-05
5,532 GORDER: An Efficient Method for KNN Join Processing 2004 VLDB 6.0932822e-05
5,982 Query-Sensitive Embeddings 2005 SIGMOD 5.9276742e-05
6,032 Hierarchical Subspace Sampling: A Unified Framework for High Dimensional Data Reduction, Selectivity Estimation and Nearest Neighbor Search 2002 SIGMOD 5.9097667e-05
6,740 On the Effects of Dimensionality Reduction on High Dimensional Similarity Search 2001 PODS 5.6916981e-05
8,927 Contorting High Dimensional Data for Efficient Main Memory KNN Processing 2003 SIGMOD 5.2559789e-05
9,412 Challenges and Techniques for Effective and Efficient Similarity Search in Large Video Databases 2008 VLDB 5.1826275e-05
9,427 Boosting Moving Object Indexing through Velocity Partitioning 2012 VLDB 5.178769e-05
12,662 Effective Data Co-Reduction for Multimedia Similarity Search 2011 SIGMOD 4.9793485e-05
13,054 k-Means Projective Clustering 2004 PODS 4.9793485e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 11 of 11 cited papers.

Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.

Rank Cited Paper Year Venue Pagerank
2 R-Trees: A Dynamic Index Structure For Spatial Searching 1984 SIGMOD 0.001992968
32 BIRCH: An Efficient Data Clustering Method for Very Large Databases 1996 SIGMOD 0.00049737458
45 A Quantitative Analysis and Performance Study for Similarity-Search Methods in High-Dimensional Spaces 1998 VLDB 0.0004503446
90 The X-tree: An Index Structure for High-Dimensional Data 1996 VLDB 0.00034860244
94 Efficient and Effective Clustering Methods for Spatial Data Mining 1994 VLDB 0.00034579889
279 The SR-tree: An Index Structure for High-Dimensional Nearest Neighbor Queries 1997 SIGMOD 0.00022308048
308 Automatic Subspace Clustering of High Dimensional Data for Data Mining Applications 1998 SIGMOD 0.00021473921
363 CURE: An Efficient Clustering Algorithm for Large Databases 1998 SIGMOD 0.00019987463
488 FastMap: A Fast Algorithm for Indexing, Data-Mining and Visualization of Traditional and Multimedia Datasets 1995 SIGMOD 0.00017457851
811 Dimensionality Reduction for Similarity Searching in Dynamic Databases 1998 SIGMOD 0.00013745617
1,679 Fast Algorithms for Projected Clustering 1999 SIGMOD 9.9079414e-05
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