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The Computational Capacity of Mem-LRC Reservoirs

Conference · · Proceedings of the Neuro-inspired Computational Elements Workshop

Reservoir computing has a emerged as a powerful tool in data-driven time series analysis. The possibility of utilizing hardware reservoirs as specialized co-processors has generated interest in the properties of electronic reservoirs, especially those based on memristors as the nonlinearity of these devices should translate to an improved nonlinear computational capacity of the reservoir. However, designing these reservoirs requires a detailed understanding of how memristive networks process information which has thus far been lacking. In this work, we derive an equation for general memristor-inductor-resistor-capacitor (MEM-LRC) reservoirs that includes all network and dynamical constraints explicitly. Utilizing this we undertake a study of the computational capacity of these reservoirs. We demonstrate that hardware reservoirs may be constructed with extensive memory capacity and that the presence of memristors enacts a tradeoff between memory capacity and nonlinear computational capacity. Here, using these principles, we design reservoirs to tackle problems in signal processing, paving the way for applying hardware reservoirs to high-dimensional spatiotemporal systems.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program
DOE Contract Number:
89233218CNA000001
OSTI ID:
1995142
Report Number(s):
LA-UR-20-26991
Journal Information:
Proceedings of the Neuro-inspired Computational Elements Workshop, Journal Name: Proceedings of the Neuro-inspired Computational Elements Workshop
Country of Publication:
United States
Language:
English

References (4)

Memristor-based reservoir computing conference January 2012
Recent advances in physical reservoir computing: A review journal July 2019
Memory in linear recurrent neural networks in continuous time journal April 2010
Complex dynamics of memristive circuits: Analytical results and universal slow relaxation journal February 2017

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