Integrated photonic delay-lasers for reservoir computing

Currently, multiple photonic reservoir computing systems show great promise for providing a practical yet powerful hardware substrate for neuromorphic computing. Among those, delay-based systems offer a simple technological route to implement photonic neuromorphic computation. Its operation boils down to a time-multiplexing with the delay length limiting the processing speed. As most optical setups end up to be bulky employing long fiber loops or free-space optics, the processing speeds are ranging from kSa/s to tens of MSa/s. Therefore, we focus on external cavities which are far shorter than what has been realized before in such experiments. We present experimental results of reservoir computing based on a semiconductor laser, operating in a single mode regime around 1550nm, with a 10.8cm delay line. Both are integrated on an active/passive InP photonic chip built on the Jeppix platform. Using 23 virtual nodes spaced 50 ps apart in the integrated delay section, we increase the processing speed to 0.87GSa/s. The computational performance is benchmarked on a forecasting task applied to chaotic time samples. Competitive performance is observed for injection currents above threshold, with higher pumps having lower prediction errors. The feedback strength can be controlled by electrically pumping integrated amplifiers within the delay section. Nevertheless, we find good performance even when these amplifiers are unpumped. To proof the relevance and necessity of the external cavity on the computational capacity, we have analysed linear and nonlinear memory tasks. We also propose several post-processing methods, which increase the performance without a penalty to speed.

[1]  J. Danckaert,et al.  Semiconductor ring lasers coupled by a single waveguide , 2012, 1302.3113.

[2]  Jan Danckaert,et al.  Rate equations for vertical-cavity surface-emitting lasers , 2003 .

[3]  J. Danckaert,et al.  Optical injection in semiconductor ring lasers: backfire dynamics. , 2008, Optics express.

[4]  Benjamin Schrauwen,et al.  Reservoir computing: a photonic neural network for information processing , 2010, Photonics Europe.

[5]  L. Appeltant,et al.  Information processing using a single dynamical node as complex system , 2011, Nature communications.

[6]  Benjamin Schrauwen,et al.  Optoelectronic Reservoir Computing , 2011, Scientific Reports.

[7]  Jan Danckaert,et al.  Semiconductor ring laser subject to delayed optical feedback: Bifurcations and stability , 2012 .

[8]  J. Danckaert,et al.  Ghost stochastic resonance in vertical-cavity surface-emitting lasers: experiment and theory. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  Daniel Brunner,et al.  Diffractive Coupling For Photonic Networks: How Big Can We Go? , 2019, IEEE Journal of Selected Topics in Quantum Electronics.

[10]  Jan Danckaert,et al.  Real-time Audio Processing with a Cascade of Discrete-Time Delay Line-Based Reservoir Computers , 2017, Cognitive Computation.

[11]  Geert Morthier,et al.  Experimental demonstration of reservoir computing on a silicon photonics chip , 2014, Nature Communications.

[12]  J. Danckaert,et al.  Phase-space approach to directional switching in semiconductor ring lasers. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  Ingo Fischer,et al.  Reconfigurable semiconductor laser networks based on diffractive coupling. , 2015, Optics letters.

[14]  M. C. Soriano,et al.  Advances in photonic reservoir computing , 2017 .

[15]  J. Danckaert,et al.  Square-wave oscillations in semiconductor ring lasers with delayed optical feedback. , 2012, Optics express.

[16]  Damien Rontani,et al.  Enhanced performance of a reservoir computer using polarization dynamics in VCSELs. , 2018, Optics letters.

[17]  Guy Verschaffelt,et al.  Random number generator based on an integrated laser with on-chip optical feedback. , 2017, Chaos.

[18]  Laurent Larger,et al.  Tutorial: Photonic Neural Networks in Delay Systems , 2018, Journal of Applied Physics.

[19]  Serge Massar,et al.  Fully analogue photonic reservoir computer , 2016, Scientific Reports.

[20]  Guy Van der Sande,et al.  Task-Independent Computational Abilities of Semiconductor Lasers with Delayed Optical Feedback for Reservoir Computing , 2019, Photonics.

[21]  Guy Verschaffelt,et al.  Distributed Kerr Non-linearity in a Coherent All-Optical Fiber-Ring Reservoir Computer , 2019, Front. Phys..

[22]  Atsushi Uchida,et al.  Impact of input mask signals on delay-based photonic reservoir computing with semiconductor lasers. , 2018, Optics express.

[23]  Romain Modeste Nguimdo,et al.  Simultaneous Computation of Two Independent Tasks Using Reservoir Computing Based on a Single Photonic Nonlinear Node With Optical Feedback , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[24]  Romain Modeste Nguimdo,et al.  Reducing the phase sensitivity of laser-based optical reservoir computing systems. , 2016, Optics express.

[25]  Romain Modeste Nguimdo,et al.  Fast photonic information processing using semiconductor lasers with delayed optical feedback: role of phase dynamics. , 2014, Optics express.

[26]  G. Van der Sande,et al.  The effects of stress, temperature, and spin flips on polarization switching in vertical-cavity surface-emitting lasers , 2006, IEEE Journal of Quantum Electronics.

[27]  Daniel Brunner,et al.  Conditions for reservoir computing performance using semiconductor lasers with delayed optical feedback. , 2017, Optics express.

[28]  J. Danckaert,et al.  Multistable and excitable behavior in semiconductor ring lasers with broken Z2-symmetry , 2010 .

[29]  Miguel C. Soriano,et al.  Automated real-time method for ventricular heartbeat classification , 2019, Comput. Methods Programs Biomed..

[30]  Miguel C. Soriano,et al.  A Fast Machine Learning Model for ECG-Based Heartbeat Classification and Arrhythmia Detection , 2019, Front. Phys..

[31]  Laurent Larger,et al.  Coupled nonlinear delay systems as deep convolutional neural networks , 2019, Physical review letters.

[32]  J. Danckaert,et al.  Excitability in semiconductor microring lasers: Experimental and theoretical pulse characterization , 2010, 1108.3704.

[33]  Benjamin Schrauwen,et al.  Toward optical signal processing using photonic reservoir computing. , 2008, Optics express.

[34]  Satoshi Sunada,et al.  Compact reservoir computing with a photonic integrated circuit. , 2018, Optics express.

[35]  Jan Danckaert,et al.  Delay-Based Reservoir Computing: Noise Effects in a Combined Analog and Digital Implementation , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[36]  Geoffrey E. Hinton,et al.  ImageNet classification with deep convolutional neural networks , 2012, Commun. ACM.

[37]  Guy Van der Sande,et al.  Delay-Based Reservoir Computing Using Multimode Semiconductor Lasers: Exploiting the Rich Carrier Dynamics , 2019, IEEE Journal of Selected Topics in Quantum Electronics.

[38]  Miguel C. Soriano,et al.  Comparison of Photonic Reservoir Computing Systems for Fiber Transmission Equalization , 2020, IEEE Journal of Selected Topics in Quantum Electronics.

[39]  Xjm Xaveer Leijtens,et al.  JePPIX: the platform for Indium Phosphide-based photonics , 2011 .

[40]  Daniel Brunner,et al.  Parallel photonic information processing at gigabyte per second data rates using transient states , 2013, Nature Communications.

[41]  Benjamin Schrauwen,et al.  Parallel Reservoir Computing Using Optical Amplifiers , 2011, IEEE Transactions on Neural Networks.