Cited by 460

Learning to decode linear codes using deep learning

Nachmani, Eliya, Be'ery, Yair, Burshtein, David·2016·2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton)

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  • Deep unfolding has been recently applied in channel decoding and MIMO detection.

    “It has been recently applied in the context of channel decoding and MIMO detection [22], [23], [24].”

    From An Introduction to Deep Learning for the Physical Layer (2017) · cites this paper as [22]

  • In [22], training with a single codeword is sufficient because the code structure is embedded in the NN through the Tanner graph.

    “For instance in [22], it was shown that training with a single codeword is sufficient since the structure of the code is embedded in the NN through the Tanner graph.”

    From An Introduction to Deep Learning for the Physical Layer (2017) · cites this paper as [22]

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Research works printed but not linked: 15

  1. A. Graves, A.-r. Mohamed, and G. Hinton, "Speech recognition with deep recurrent neural networks," in 2013 IEEE international conference on acoustics, speech and signal processing. IEEE, 2013, pp. 6645-6649.
  2. D. Silver, A. Huang, C. J. Maddison, A. Guez, L. Sifre, G. Van Den Driessche, J. Schrittwieser, I. Antonoglou, V. Panneershelvam, M. Lanctot et al., "Mastering the game of go with deep neural networks and tree search," Nature, vol. 529, no. 7587, pp. 484-489, 2016.
  3. J. Deng, W. Dong, R. Socher, L.-J. Li, K. Li, and L. Fei-Fei, "Imagenet: A large-scale hierarchical image database," in Computer Vision and Pattern Recognition, 2009. CVPR 2009. IEEE Conference on. IEEE, 2009, pp. 248-255.
  4. A. Krizhevsky, I. Sutskever, and G. E. Hinton, "Imagenet classification with deep convolutional neural networks," in Advances in neural information processing systems, 2012, pp. 1097-1105.
  5. N. Srivastava, G. E. Hinton, A. Krizhevsky, I. Sutskever, and R. Salakhutdinov, "Dropout: a simple way to prevent neural networks from overfitting." Journal of Machine Learning Research, vol. 15, no. 1, pp. 1929-1958, 2014.
  6. R. G. Gallager, Low Density Parity Check Codes. Cambridge, Massachusetts: M.I.T. Press, 1963.
  7. J. Jiang and K. R. Narayanan, "Iterative soft-input soft-output decoding of reed-solomon codes by adapting the parity-check matrix," IEEE Transactions on Information Theory, vol. 52, no. 8, pp. 3746-3756, 2006.
  8. I. Dimnik and Y. Be'ery, "Improved random redundant iterative hdpc decoding," IEEE Transactions on Communications, vol. 57, no. 7, pp. 1982-1985, 2009.
  9. A. Yufit, A. Lifshitz, and Y. Be'ery, "Efficient linear programming decoding of hdpc codes," IEEE Transactions on Communications, vol. 59, no. 3, pp. 758-766, 2011.
  10. X. Zhang and P. H. Siegel, "Adaptive cut generation algorithm for improved linear programming decoding of binary linear codes," IEEE Transactions on Information Theory, vol. 58, no. 10, pp. 6581-6594, 2012.
  11. M. Helmling, E. Rosnes, S. Ruzika, and S. Scholl, "Efficient maximum-likelihood decoding of linear block codes on binary mem- oryless channels," in 2014 IEEE International Symposium on Infor- mation Theory. IEEE, 2014, pp. 2589-2593.
  12. T. Richardson and R. Urbanke, Modern Coding Theory. Cambridge, UK: Cambridge University Press, 2008.
  13. M. Abadi, A. Agarwal, P. Barham, E. Brevdo, Z. Chen, C. Citro, G. S. Corrado, A. Davis, J. Dean, M. Devin et al., "Tensorflow: Large-scale machine learning on heterogeneous systems, 2015," Software available from tensorflow. org, vol. 1, 2015.
  14. T. Tieleman and G. Hinton, "Lecture 6.5-rmsprop: Divide the gradient by a running average of its recent magnitude," COURSERA: Neural Networks for Machine Learning, vol. 4, no. 2, 2012.
  15. G. Hinton, "A practical guide to training restricted boltzmann ma- chines," Momentum, vol. 9, no. 1, p. 926, 2010.

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Authors
Nachmani, E., Be'ery, Y., & Burshtein, D.
Venue
2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton)
Publisher
IEEE
Published
2016-09
Pages
341-346
Cited by
460
References
4

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