Convergence and scaling of Boolean-weight optimization for hardware reservoirs

• URL: http://arxiv.org/abs/2305.07908v1
• Date: Sat, 13 May 2023 12:15:25 GMT
• Title: Convergence and scaling of Boolean-weight optimization for hardware reservoirs
• Authors: Louis Andreoli, St\'ephane Chr\'etien, Xavier Porte, Daniel Brunner
• Abstract summary: We analytically derive the scaling laws for highly efficient Coordinate Descent applied to optimize the readout layer of a random recurrently connection neural network. Our results perfectly reproduce the convergence and scaling of a large-scale photonic reservoir implemented in a proof-of-concept experiment.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Hardware implementation of neural network are an essential step to implement next generation efficient and powerful artificial intelligence solutions. Besides the realization of a parallel, efficient and scalable hardware architecture, the optimization of the system's extremely large parameter space with sampling-efficient approaches is essential. Here, we analytically derive the scaling laws for highly efficient Coordinate Descent applied to optimizing the readout layer of a random recurrently connection neural network, a reservoir. We demonstrate that the convergence is exponential and scales linear with the network's number of neurons. Our results perfectly reproduce the convergence and scaling of a large-scale photonic reservoir implemented in a proof-of-concept experiment. Our work therefore provides a solid foundation for such optimization in hardware networks, and identifies future directions that are promising for optimizing convergence speed during learning leveraging measures of a neural network's amplitude statistics and the weight update rule.

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