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We give a classical analogue to Kerenidis and Prakash's quantum recommendation system, previously believed to be one of the strongest candidates for provably exponential speedups in quantum machine learning.
Strengths and weaknesses of quantum computing
Charles H Bennett, Ethan Bernstein, Gilles Brassard, and Umesh Vazirani · 1997
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Learning DNF over the uniform distribution using a quantum example oracle
Nader H. Bshouty and Jeffrey C. Jackson · 1999
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Spectral analysis of data
Yossi Azar, Amos Fiat, Anna Karlin, Frank McSherry, and Jared Saia · 2001
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Recommendation systems: a probabilistic analysis
Ravi Kumar, Prabhakar Raghavan, Sridhar Rajagopalan, and Andrew Tomkins · 2001
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Competitive recommendation systems
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Improved recommendation systems
Baruch Awerbuch, Boaz Patt-Shamir, David Peleg, and Mark Tuttle · 2005
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Fast Monte Carlo algorithms for matrices I: Approximating matrix multiplication
P. Drineas, R. Kannan, and M. Mahoney · 2006
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Adaptive sampling and fast low-rank matrix approximation
Amit Deshpande and Santosh Vempala · 2006
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Fast computation of low-rank matrix approximations
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Lessons from the Netflix prize challenge
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Relative-error CUR matrix decompositions
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Using mixture models for collaborative filtering
Jon Kleinberg and Mark Sandler · 2008
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Quantum algorithm for linear systems of equations
Aram W Harrow, Avinatan Hassidim, and Seth Lloyd · 2009
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Matrix factorization techniques for recommender systems
Yehuda Koren, Robert Bell, and Chris Volinsky · 2009
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Quantum principal component analysis
Seth Lloyd, Masoud Mohseni, and Patrick Rebentrost · 2014
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Read the fine print
Scott Aaronson · 2015
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Sublinear time orthogonal tensor decomposition
Zhao Song, David P. Woodruff, and Huan Zhang · 2016
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Quantum gradient descent for linear systems and least squares
Iordanis Kerenidis and Anupam Prakash · 2017
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Quantum recommendation systems
Iordanis Kerenidis and Anupam Prakash · 2017
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Randomized algorithms in numerical linear algebra
Ravindran Kannan and Santosh Vempala · 2017
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Elad Hazan, Tomer Koren, and Nati Srebro · 2011
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A simpler approach to matrix completion
Benjamin Recht · 2011
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Quantum algorithms for supervised and unsupervised machine learning
Seth Lloyd, Masoud Mohseni, and Patrick Rebentrost · 2013
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András Gilyén, Yuan Su, Guang Hao Low, and Nathan Wiebe · 2018
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Quantum Computing in the NISQ era and beyond
John Preskill · 2018
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