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We show an optimal data-dependent hashing scheme for the approximate near neighbor problem.
Worst-case optimal insertion and deletion methods for decomposable searching problems
Mark H. Overmars and Jan van Leeuwen · 1981
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Storing a sparse table with O(1) worst case access time
Michael L. Fredman, János Komlós, and Endre Szemerédi · 1984
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Extensions of Lipschitz mappings into a Hilbert space
William B. Johnson and Joram Lindenstrauss · 1984
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A randomized algorithm for closest-point queries
Kenneth L. Clarkson · 1988
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Refinements to nearest-neighbor searching in
Robert F. Sproull · 1991
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Point location in arrangements of hyperplanes
Stefan Meiser · 1993
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The geometry of graphs and some of its algorithmic applications
Nathan Linial, Eran London, and Yuri Rabinovich · 1995
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Approximate nearest neighbors: towards removing the curse of dimensionality
Piotr Indyk and Rajeev Motwani · 1998
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Approximate graph coloring by semidefinite programming
David R. Karger, Rajeev Motwani, and Madhu Sudan · 1998
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A fast nearest-neighbor algorithm based on a principal axis search tree
James McNames · 2001
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Similarity estimation techniques from rounding algorithms
Moses Charikar · 2002
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An elementary proof of a theorem of Johnson and Lindenstrauss
Sanjoy Dasgupta and Anupam Gupta · 2003
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Locality-sensitive hashing scheme based on p-stable distributions
Mayur Datar, Nicole Immorlica, Piotr Indyk, and Vahab S. Mirrokni · 2004
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Near-optimal hashing algorithms for approximate nearest neighbor in high dimensions
Alexandr Andoni and Piotr Indyk · 2006
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Lower bounds on locality sensitive hashing
Rajeev Motwani, Assaf Naor, and Rina Panigrahy · 2007
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Near-optimal hashing algorithms for approximate nearest neighbor in high dimensions
Alexandr Andoni and Piotr Indyk · 2008
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Random projection trees and low dimensional manifolds
Sanjoy Dasgupta and Yoav Freund · 2008
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A geometric approach to lower bounds for approximate near-neighbor search and partial match
Rina Panigrahy, Kunal Talwar, and Udi Wieder · 2008
Optimal lower bounds for locality sensitive hashing (except when q is tiny)
Ryan O’Donnell, Yi Wu, and Yuan Zhou · 2011
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The power of comparative reasoning
Jay Yagnik, Dennis Strelow, David A. Ross, and Ruei-Sung Lin · 2011
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Approximate nearest neighbor: towards removing the curse of dimensionality
Sariel Har-Peled, Piotr Indyk, and Rajeev Motwani · 2012
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Finding correlations in subquadratic time, with applications to learning parities and juntas
Gregory Valiant · 2012
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Frontiers in Massive Data Analysis
National Research Council · 2013
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Spectral approaches to nearest neighbor search
Amirali Abdullah, Alexandr Andoni, Ravindran Kannan, and Robert Krauthgamer · 2014
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Spectral hashing
Yair Weiss, Antonio Torralba, and Rob Fergus · 2008
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Nearest Neighbor Search: the Old, the New, and the Impossible
Alexandr Andoni · 2009
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Semantic hashing
Ruslan Salakhutdinov and Geoffrey E. Hinton · 2009
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Which spatial partition trees are adaptive to intrinsic dimension?
Nakul Verma, Samory Kpotufe, and Sanjoy Dasgupta · 2009
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Bucketing coding and information theory for the statistical highdimensional nearest-neighbor problem
Moshe Dubiner · 2010
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Lower bounds on near neighbor search via metric expansion
Rina Panigrahy, Kunal Talwar, and Udi Wieder · 2010
Cited alongside, same era.
Beyond locality-sensitive hashing
Alexandr Andoni, Piotr Indyk, Huy L. Nguyen, and Ilya Razenshteyn · 2014
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Beyond Locality-Sensitive Hashing
Ilya Razenshteyn · 2014
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Hashing for similarity search: A survey
Jingdong Wang, Heng Tao Shen, Jingkuan Song, and Jianqiu Ji · 2014
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Practical and optimal LSH for angular distance
Alexandr Andoni, Piotr Indyk, Michael Kapralov, Thijs Laarhoven, Ilya Razenshteyn, and Ludwig Schmidt · 2015
Closest in time.
Tight lower bounds for data-dependent locality-sensitive hashing
Alexandr Andoni and Ilya Razenshteyn · 2015
Closest in time.