Tutorial: Photonic Neural Networks in Delay Systems
D. Brunner, B. Penkovsky, B. A. Marquez, M. Jaquot, I. Fischer, and L., Larger

TL;DR
This tutorial reviews how photonic delay systems enable efficient implementation of recurrent neural networks and reservoir computing, highlighting fundamental principles, experimental demonstrations, and recent advances in the field.
Contribution
It provides a comprehensive overview of photonic delay systems for neural networks, including fundamental concepts, experimental results, and recent technological developments.
Findings
Photonic delay systems can implement large-scale recurrent neural networks.
Reservoir computing in photonics achieves high-performance information processing.
Various physical substrates and architectures have been successfully demonstrated.
Abstract
Photonic delay systems have revolutionized the hardware implementation of Recurrent Neural Networks and Reservoir Computing in particular. The fundamental principles of Reservoir Computing strongly benefit a realization in such complex analog systems. Especially delay systems, potentially providing large numbers of degrees of freedom even in simple architectures, can efficiently be exploited for information processing. The numerous demonstrations of their performance led to a revival of photonic Artificial Neural Network. Today, an astonishing variety of physical substrates, implementation techniques as well as network architectures based on this approach have been successfully employed. Important fundamental aspects of analog hardware Artificial Neural Networks have been investigated, and multiple high-performance applications have been demonstrated. Here, we introduce and explain the…
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