Abstract

Reservoir computing is a recurrent machine learning framework that expands the dimensionality of a problem by mapping an input signal into a higher-dimension reservoir space that can capture and predict features of complex, non-linear temporal dynamics. Here, we report on a bulk electro-optical demonstration of a reservoir computer using speckles generated by propagating a laser beam modulated with a spatial light modulator through a multimode waveguide. We demonstrate that the hardware can successfully perform a multivariate audio classification task performed using the Japanese vowel speakers public data set. We perform full wave optical calculations of this architecture implemented in a chip-scale platform using an SiO2 waveguide and demonstrate that it performs as well as a fully numerical implementation of reservoir computing. As all the optical components used in the experiment can be fabricated using a commercial photonic integrated circuit foundry, our result demonstrates a framework for building a scalable, chip-scale, reservoir computer capable of performing optical signal processing.

Highlights

  • The rapid growth of data traffic leading to the emerging big data era has made special-purpose signal processing hardware a necessary tool

  • reservoir computing (RC) does not require backpropagation, which is computationally intensive. In this Article, we present results on spatially-distributed bulk optical RC using laser speckle in a multimode optical waveguide as the “reservoir”, which allows for parallelized input and could potentially be scaled into a photonic integrated circuit (PIC) to form a multi-GHz-bandwidth, analog photonic processor

  • In this Article, we demonstrated an optical reservoir computer using speckles generated from a multimode waveguide

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Summary

Introduction

The rapid growth of data traffic leading to the emerging big data era has made special-purpose signal processing hardware a necessary tool. Through optical waveguides and a 1D array of light modulators With this approach, we demonstrate that only 200 neurons are required to perform multivariate classification tasks. The calculations presented here demonstrate that a 100-micron wide, 10-cm long planar waveguide provides sufficient speckle mixing for building a 100-neuron reservoir computer Such planar waveguides can be fabricated in tight spirals using a silicon-oninsulator (SOI) PIC with a total footprint less than 1 cm2 [25, 26]. The processing speed of such a device would only be limited by the optical delay of the chip, the modulator bandwidth, and the photodiode response time This opens the possibility of performing real-time signal processing of radio-frequency (RF) and other high frequency signals, or rapid serial processing of very large datasets

Architecture and Experimental Demonstration of RC
Time Series Recovery
Audio Classification
Simulation of Planar Waveguides for PIC Realization of RC
Conclusions
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