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Approximate \(k\)-flat nearest neighbor search. (English) Zbl 1321.68416

Proceedings of the 47th annual ACM symposium on theory of computing, STOC ’15, Portland, OR, USA, June 14–17, 2015. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-3536-2). 783-792 (2015).

MSC:

68T20 Problem solving in the context of artificial intelligence (heuristics, search strategies, etc.)
68P05 Data structures
68W25 Approximation algorithms

Software:

Graphs

References:

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[9] R. A. Horn and C. R. Johnson. Matrix analysis. Cambridge University Press, second edition, 2013. · Zbl 1267.15001
[10] P. Indyk. Nearest neighbors in high-dimensional spaces. In J. E. Goodman and J. O’Rourke, editors, Handbook of Discrete and Computational Geometry, chapter 39. CRC Press, 2nd edition, 2004.
[11] P. Indyk and R. Motwani. Approximate nearest neighbors: towards removing the curse of dimensionality. In Proc. 30th STOC, pages 604-613, 1998. 10.1145/276698.276876 · Zbl 1029.68541
[12] E. Kushilevitz, R. Ostrovsky, and Y. Rabani. Efficient search for approximate nearest neighbor in high dimensional spaces. In Proc. 30th STOC, pages 614-623, 1998. 10.1145/276698.276877 · Zbl 1029.68542
[13] Q. Lv, W. Josephson, Z. Wang, M. Charikar, and K. Li. Multi-probe LSH: Efficient indexing for high-dimensional similarity search. In Proc. 33rd VLDB, pages 950-961, 2007.
[14] A. Magen. Dimensionality reductions in l_2 that preserve volumes and distance to affine spaces. Discrete Comput. Geom., 38(1):139-153, 2007. 10.1007/s00454-007-1329-4 · Zbl 1130.46004
[15] S. Mahabadi. Approximate nearest line search in high dimensions. In Proc. 26th SODA, pages 337-354, 2015. · Zbl 1371.68295
[16] J. Matousek. Efficient partition trees. Discrete Comput. Geom., 8(3):315-334, 1992. · Zbl 0752.68088
[17] S. Meiser. Point location in arrangements of hyperplanes. Inform. and Comput., 106(2):286-303, 1993. 10.1006/inco.1993.1057 · Zbl 0781.68121
[18] R. Panigrahy. Entropy based nearest neighbor search in high dimensions. In Proc. 17th SODA, pages 1186-1195, 2006. · Zbl 1192.68217
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