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Quantum speed-up for unsupervised learning

Esma Aïmeur 1 Gilles Brassard 1 Sébastien Gambs 2, 3
3 CIDRE - Confidentialité, Intégrité, Disponibilité et Répartition
CentraleSupélec, Inria Rennes – Bretagne Atlantique , IRISA-D1 - SYSTÈMES LARGE ÉCHELLE
Abstract : We show how the quantum paradigm can be used to speed up unsupervised learning algorithms. More precisely, we explain how it is possible to accelerate learning algorithms by quantizing some of their subroutines. Quantization refers to the process that partially or totally converts a classical algorithm to its quantum counterpart in order to improve performance. In particular, we give quantized versions of clustering via minimum spanning tree, divisive clustering and k-medians that are faster than their classical analogues. We also describe a distributed version of k-medians that allows the participants to save on the global communication cost of the protocol compared to the classical version. Finally, we design quantum algorithms for the construction of a neighbourhood graph, outlier detection as well as smart initialization of the cluster centres.
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Contributor : Sébastien Gambs <>
Submitted on : Monday, October 1, 2012 - 2:11:48 AM
Last modification on : Thursday, January 7, 2021 - 4:10:52 PM

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Esma Aïmeur, Gilles Brassard, Sébastien Gambs. Quantum speed-up for unsupervised learning. Machine Learning, Springer Verlag, 2013, 90 (2), pp.261-287. ⟨10.1007/s10994-012-5316-5⟩. ⟨hal-00736948⟩



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