4.7 Article

Integer Echo State Networks: Efficient Reservoir Computing for Digital Hardware

Journal

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TNNLS.2020.3043309

Keywords

Dynamic systems modeling; echo state networks (ESNs); hyperdimensional computing (HDC); memory capacity; reservoir computing (RC); time-series classification; vector symbolic architectures

Funding

  1. Swedish Research Council [2015-04677]
  2. European Union [839179]
  3. Defense Advanced Research Projects Agency (DARPA's) Virtual Intelligence Processing (VIP) (Super-HD Project) program
  4. Defense Advanced Research Projects Agency (DARPA's) Artificial Intelligence Exploration (AIE) (HyDDENN Project) program
  5. Marie Curie Actions (MSCA) [839179] Funding Source: Marie Curie Actions (MSCA)
  6. Swedish Research Council [2015-04677] Funding Source: Swedish Research Council

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In this study, an approximation of echo state networks (ESNs) based on hyperdimensional computing is proposed, which can be efficiently implemented on digital hardware. The proposed intESN replaces the recurrent matrix multiplication with an efficient cyclic shift operation and utilizes a vector containing only a few integers as the reservoir. Experimental results show that the proposed intESN approach is effective and more energy efficient compared to conventional ESNs.
We propose an approximation of echo state networks (ESNs) that can be efficiently implemented on digital hardware based on the mathematics of hyperdimensional computing. The reservoir of the proposed integer ESN (intESN) is a vector containing only n-bits integers (where n < 8 is normally sufficient for a satisfactory performance). The recurrent matrix multiplication is replaced with an efficient cyclic shift operation. The proposed intESN approach is verified with typical tasks in reservoir computing: memorizing of a sequence of inputs, classifying time series, and learning dynamic processes. Such architecture results in dramatic improvements in memory footprint and computational efficiency, with minimal performance loss. The experiments on a field-programmable gate array confirm that the proposed intESN approach is much more energy efficient than the conventional ESN.

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