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Hopfield Networks for Vector Quantization

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Artificial Neural Networks and Machine Learning – ICANN 2020 (ICANN 2020)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12397))

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Abstract

We consider the problem of finding representative prototypes within a set of data and solve it using Hopfield networks. Our key idea is to minimize the mean discrepancy between kernel density estimates of the distributions of data points and prototypes. We show that this objective can be cast as a quadratic unconstrained binary optimization problem which is equivalent to a Hopfield energy minimization problem. This result is of current interest as it suggests that vector quantization can be accomplished via adiabatic quantum computing.

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Acknowledgments

This work is a joint effort of the Fraunhofer Research Center for Machine Learning (FZML) within the Cluster of Excellence Cognitive Internet Technologies (CCIT) and the Competence Center for Machine Learning Rhine-Ruhr (ML2R). ML2R is funded by the Federal Ministry of Education and Research (BMBF) of Germany (grant no. 01IS18038A). The authors gratefully acknowledge this support.

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Authors and Affiliations

  1. Fraunhofer Center for Machine Learning, Sankt Augustin, Germany

    C. Bauckhage, R. Ramamurthy & R. Sifa

  2. Computer Science, University of Bonn, Bonn, Germany

    C. Bauckhage

  3. Fraunhofer IAIS, Sankt Augustin, Germany

    C. Bauckhage, R. Ramamurthy & R. Sifa

Authors
  1. C. Bauckhage
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  2. R. Ramamurthy
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  3. R. Sifa
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Corresponding author

Correspondence to C. Bauckhage .

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Editors and Affiliations

  1. Department of Applied Informatics, Comenius University in Bratislava, Bratislava, Slovakia

    Igor Farkaš

  2. Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kgs. Lyngby, Denmark

    Paolo Masulli

  3. Department of Informatics, University of Hamburg, Hamburg, Germany

    Stefan Wermter

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Bauckhage, C., Ramamurthy, R., Sifa, R. (2020). Hopfield Networks for Vector Quantization. In: Farkaš, I., Masulli, P., Wermter, S. (eds) Artificial Neural Networks and Machine Learning – ICANN 2020. ICANN 2020. Lecture Notes in Computer Science(), vol 12397. Springer, Cham. https://doi.org/10.1007/978-3-030-61616-8_16

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  • DOI: https://doi.org/10.1007/978-3-030-61616-8_16

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  • Online ISBN: 978-3-030-61616-8

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