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Improving Generalization of Deep Networks for Inverse Reconstruction of Image Sequences

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Information Processing in Medical Imaging (IPMI 2019)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 11492))

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Abstract

Deep learning networks have shown state-of-the-art performance in many image reconstruction problems. However, it is not well understood what properties of representation and learning may improve the generalization ability of the network. In this paper, we propose that the generalization ability of an encoder-decoder network for inverse reconstruction can be improved in two means. First, drawing from analytical learning theory, we theoretically show that a stochastic latent space will improve the ability of a network to generalize to test data outside the training distribution. Second, following the information bottleneck principle, we show that a latent representation minimally informative of the input data will help a network generalize to unseen input variations that are irrelevant to the output reconstruction. Therefore, we present a sequence image reconstruction network optimized by a variational approximation of the information bottleneck principle with stochastic latent space. In the application setting of reconstructing the sequence of cardiac transmembrane potential from body-surface potential, we assess the two types of generalization abilities of the presented network against its deterministic counterpart. The results demonstrate that the generalization ability of an inverse reconstruction network can be improved by stochasticity as well as the information bottleneck.

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References

  1. Alemi, A., Fischer, I., Dillon, J., Murphy, K.: Deep variational information bottleneck. In: ICLR (2017). https://arxiv.org/abs/1612.00410

  2. Aliev, R.R., Panfilov, A.V.: A simple two-variable model of cardiac excitation. Chaos, Solitons Fractals 7(3), 293–301 (1996)

    Article  Google Scholar 

  3. Bahdanau, D., Cho, K., Bengio, Y.: Neural machine translation by jointly learning to align and translate. arXiv preprint arXiv:1409.0473 (2014)

  4. Ghimire, S., Dhamala, J., Gyawali, P.K., Sapp, J.L., Horacek, M., Wang, L.: Generative modeling and inverse imaging of cardiac transmembrane potential. In: Frangi, A.F., Schnabel, J.A., Davatzikos, C., Alberola-López, C., Fichtinger, G. (eds.) MICCAI 2018. LNCS, vol. 11071, pp. 508–516. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-00934-2_57

    Chapter  Google Scholar 

  5. Greensite, F., Huiskamp, G.: An improved method for estimating epicardial potentials from the body surface. IEEE TBME 45(1), 98–104 (1998)

    Google Scholar 

  6. Han, Y.S., Yoo, J., Ye, J.C.: Deep residual learning for compressed sensing ct reconstruction via persistent homology analysis. arXiv preprint arXiv:1611.06391 (2016)

  7. Hardy, G.H.: On double Fourier series and especially those which represent the double zeta-function with real and incommensurable parameters. Quart. J. Math 37(5), 53–79 (1906)

    Google Scholar 

  8. Kawaguchi, K., Bengio, Y., Verma, V., Kaelbling, L.P.: Towards understanding generalization via analytical learning theory. arXiv preprint arXiv:1802.07426 (2018)

  9. Kingma, D.P., Ba, J.: Adam: a method for stochastic optimization. In: ICLR (2015)

    Google Scholar 

  10. Kingma, D.P., Welling, M.: Auto-encoding variational bayes. In: ICLR (2013)

    Google Scholar 

  11. Lucas, A., Iliadis, M., Molina, R., Katsaggelos, A.K.: Using deep neural networks for inverse problems in imaging: beyond analytical methods. IEEE Sig. Process. Mag. 35(1), 20–36 (2018)

    Article  Google Scholar 

  12. Luchies, A.C., Byram, B.C.: Deep neural networks for ultrasound beamforming. IEEE Trans. Med. Imaging 37(9), 2010–2021 (2018)

    Article  Google Scholar 

  13. Mao, X., Shen, C., Yang, Y.B.: Image restoration using very deep convolutional encoder-decoder networks with symmetric skip connections. In: Advances in Neural Information Processing Systems, pp. 2802–2810 (2016)

    Google Scholar 

  14. Pathak, D., Krahenbuhl, P., Donahue, J., Darrell, T., Efros, A.A.: Context encoders: feature learning by inpainting. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 2536–2544 (2016)

    Google Scholar 

  15. Plonsey, R.: Bioelectric phenomena (1969)

    Google Scholar 

  16. Sutskever, I., Vinyals, O., Le, Q.V.: Sequence to sequence learning with neural networks. In: Advances in Neural Information Processing Systems, pp. 3104–3112 (2014)

    Google Scholar 

  17. Tishby, N., Pereira, F.C., Bialek, W.: The information bottleneck method. arXiv preprint physics/0004057 (2000)

    Google Scholar 

  18. Wang, L., Zhang, H., Wong, K.C., Liu, H., Shi, P.: Physiological-model-constrained noninvasive reconstruction of volumetric myocardial transmembrane potentials. IEEE Trans. Biomed. Eng. 57(2), 296–315 (2010)

    Article  Google Scholar 

  19. Zhu, B., Liu, J.Z., Cauley, S.F., Rosen, B.R., Rosen, M.S.: Image reconstruction by domain-transform manifold learning. Nature 555(7697), 487 (2018)

    Article  Google Scholar 

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Correspondence to Sandesh Ghimire .

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Ghimire, S., Gyawali, P.K., Dhamala, J., Sapp, J.L., Horacek, M., Wang, L. (2019). Improving Generalization of Deep Networks for Inverse Reconstruction of Image Sequences. In: Chung, A., Gee, J., Yushkevich, P., Bao, S. (eds) Information Processing in Medical Imaging. IPMI 2019. Lecture Notes in Computer Science(), vol 11492. Springer, Cham. https://doi.org/10.1007/978-3-030-20351-1_12

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  • DOI: https://doi.org/10.1007/978-3-030-20351-1_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-20350-4

  • Online ISBN: 978-3-030-20351-1

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