[1] Y. Shen, N. C. Harris, S. Skirlo, M. Prabhu, T. Baehr-Jones, M. Hochberg, X. Sun, S. Zhao, H. Larochelle, D. Englund, M. Soljacic. Deep learning with coherent nanophotonic circuits. Nat. Photonics, 11, 441-446(2017).
[2] M. Hermans, M. Burm, T. Van Vaerenbergh, J. Dambre, P. Bienstman. Trainable hardware for dynamical computing using error backpropagation through physical media. Nat. Commun., 6, 6729(2015).
[3] T. W. Hughes, M. Minkov, Y. Shi, S. Fan. Training of photonic neural networks through in situ backpropagation and gradient measurement. Optica, 5, 864-871(2018).
[4] S. R. Skinner, E. C. Behrman, A. A. Cruz-Cabrera, J. E. Steck. Neural network implementation using self-lensing media. Appl. Opt., 34, 4129-4135(1995).
[5] P. R. Prucnal, B. J. Shastri. Neuromorphic Photonics(2017).
[6] H. G. Chen, S. Jayasuriya, J. Yang, J. Stephen, S. Sivaramakrishnan, A. Veeraraghavan, A. Molnar. ASP vision: optically computing the first layer of convolutional neural networks using angle sensitive pixels. Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 903-912(2016).
[7] J. Bueno, S. Maktoobi, L. Froehly, I. Fischer, M. Jacquot, L. Larger, D. Brunner. Reinforcement learning in a large-scale photonic recurrent neural network. Optica, 5, 756-760(2018).
[8] X. Lin, Y. Rivenson, N. T. Yardimci, M. Veli, Y. Luo, M. Jarrahi, A. Ozcan. All optical machine learning using diffractive deep neural networks. Science, 361, 1004-1008(2018).
[9] M. Hermans, T. Van Vaerenbergh. “Towards trainable media: Using waves for neural network-style training,”(2015).
[10] H.-G. Park, S.-H. Kim, S.-H. Kwon, Y.-G. Ju, J.-K. Yang, J.-H. Baek, S.-B. Kim, Y.-H. Lee. Electrically driven single-cell photonic crystal laser. Science, 305, 1444-1447(2004).
[11] J. D. Joannopoulos, S. G. Johnson, J. N. Winn, R. D. Meade. Photonic Crystals: Molding the Flow of Light(2011).
[12] W. Cai, V. Shalaev. Optical Metamaterials: Fundamentals and Applications(2009).
[13] B. Shen, P. Wang, R. Polson, R. Menon. An integrated-nanophotonics polarization beamsplitter with 2.4 × 2.4 μm2 footprint. Nat. Photonics, 9, 378-382(2015).
[14] A. Y. Piggott, J. Petykiewicz, L. Su, J. Vučković. Fabrication constrained nanophotonic inverse design. Sci. Rep., 7, 1786(2017).
[15] L. Su, A. Y. Piggott, N. V. Sapra, J. Petykiewicz, J. Vuckovic. Inverse design and demonstration of a compact on-chip narrowband three-channel wavelength demultiplexer. ACS Photon., 5, 301-305(2017).
[16] V. Nair, G. E. Hinton. Rectified linear units improve restricted Boltzmann machines. Proceedings of the 27th International Conference on Machine Learning (ICML-10), 807-814(2010).
[17] E. Khoram, A. Chen, D. Liu, Q. Wang, Z. Yu, L. Ying. Nanophotonic media for artificial neural inference(2018).
[18] W. Shin. MaxwellFDFD.
[19] H. J. Caulfield, J. Kinser, S. K. Rogers. Optical neural networks. Proc. IEEE, 77, 1573-1583(1989).
[20] L. Jing, Y. Shen, T. Dubcek, J. Peurifoy, S. Skirlo, Y. LeCun, M. Tegmark, M. Soljačić. Tunable efficient unitary neural networks (EUNN) and their application to RNNs. Proceedings of the 34th International Conference on Machine Learning (PMLR), 1733-1741(2017).
[21] T. W. Hughes, M. Minkov, I. A. Williamson, S. Fan. Adjoint method and inverse design for nonlinear nanophotonic devices. ACS Photon., 5, 4781-4787(2018).
[22] M. Courbariaux, I. Hubara, D. Soudry, R. El-Yaniv, Y. Bengio. Binarized neural networks: training deep neural networks with weights and activations constrained to +1 or -1(2016).
[23] C. Li, C. Xu, C. Gui, M. D. Fox. Distance regularized level-set evolution and its application to image segmentation. IEEE Trans. Image Process., 19, 1371-1378(2010).
[24] J. Bergstra, Y. Bengio. Random search for hyper-parameter optimization. J. Mach. Learn. Res., 13, 281-305(2012).
[25] J. Snoek, H. Larochelle, R. P. Adams. Practical Bayesian optimization of machine learning algorithms. Advances in Neural Information Processing Systems, 2951-2959(2012).
[26] S. Saxena, J. Verbeek. Convolutional neural fabrics. Advances in Neural Information Processing Systems, 4053-4061(2016).
[27] G. D. Marshall, A. Politi, J. C. Matthews, P. Dekker, M. Ams, M. J. Withford, J. L. O’Brien. Laser written waveguide photonic quantum circuits. Opt. Express, 17, 12546-12554(2009).
[28] D. A. Miller. All linear optical devices are mode converters. Opt. Express, 20, 23985-23993(2012).
