Scaling Locally Linear Embedding
Summary: Ripple scales Locally Linear Embedding by incrementally updating edge weights via the Woodbury formula and computing kernel eigenvectors via an LU-based inverse power method. It preserves identical dimensionality reductions while delivering substantial speedups over vanilla LLE for large-scale data. (summarized by gpt-5-nano on Feb 09 2026)
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Authors
- 1. Yasuhiro Fujiwara
- 2. Naoki Marumo
- 3. Mathieu Blondel
- 4. Koh Takeuchi
- 5. Hideaki Kim
- 6. Tomoharu Iwata
- 7. Naonori Ueda
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Outgoing Citations (Sorted by Pagerank)
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Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 65 | Fast Subsequence Matching in Time-Series Databases | 1994 | SIGMOD | 0.00062029383 |
| 243 | Locally Adaptive Dimensionality Reduction for Indexing Large Time Series Databases | 2001 | SIGMOD | 0.00031074984 |
| 693 | Efficiently Supporting Ad Hoc Queries in Large Datasets of Time Sequences | 1997 | SIGMOD | 0.00018077335 |
| 1,363 | Indexing Spatio-Temporal Trajectories with Chebyshev Polynomials | 2004 | SIGMOD | 0.00012372959 |
| 1,641 | Fast and Exact Top-k Search for Random Walk with Restart | 2012 | VLDB | 0.00011047924 |
| 2,041 | Indexable PLA for Efficient Similarity Search | 2007 | VLDB | 9.6992894e-05 |
| 2,898 | SCAN++: Efficient Algorithm for Finding Clusters, Hubs and Outliers on Large-scale Graphs | 2015 | VLDB | 7.9445129e-05 |
| 6,578 | Madeus: Database Live Migration Middleware under Heavy Workloads for Cloud Environment | 2015 | SIGMOD | 5.0037147e-05 |
| 11,955 | Scaling Manifold Ranking Based Image Retrieval | 2015 | VLDB | 4.1945683e-05 |
| 13,337 | Fast Algorithm for the Lasso based L1-Graph Construction | 2017 | VLDB | - |
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