Nonlinear Memory Capacity of Parallel Time-Delay Reservoir Computers in the Processing of Multidimensional Signals

Grigoryeva, Lyudmila; Henriques, Julie; Larger, Laurent; Ortega, Juan-Pablo

Nonlinear Memory Capacity of Parallel Time-Delay Reservoir Computers in the Processing of Multidimensional Signals

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Date

2016

Authors

Grigoryeva, Lyudmila

Henriques, Julie

Larger, Laurent

Ortega, Juan-Pablo

DOI (citable link)

10.1162/NECO_a_00845

Collections

Mathematik und Statistik

Publication type

Journal article

Publication status

Published

Published in

Neural Computation ; 28 (2016), 7. - pp. 1411-1451. - ISSN 0899-7667. - eISSN 1530-888X

Abstract

This letter addresses the reservoir design problem in the context of delay-based reservoir computers for multidimensional input signals, parallel architectures, and real-time multitasking. First, an approximating reservoir model is presented in those frameworks that provides an explicit functional link between the reservoir architecture and its performance in the execution of a specific task. Second, the inference properties of the ridge regression estimator in the multivariate context are used to assess the impact of finite sample training on the decrease of the reservoir capacity. Finally, an empirical study is conducted that shows the adequacy of the theoretical results with the empirical performances exhibited by various reservoir architectures in the execution of several nonlinear tasks with multidimensional inputs. Our results confirm the robustness properties of the parallel reservoir architecture with respect to task misspecification and parameter choice already documented in the literature.

Subject (DDC)

510 Mathematics

Cite This

ISO 690

GRIGORYEVA, Lyudmila, Julie HENRIQUES, Laurent LARGER, Juan-Pablo ORTEGA, 2016. Nonlinear Memory Capacity of Parallel Time-Delay Reservoir Computers in the Processing of Multidimensional Signals. In: Neural Computation. 28(7), pp. 1411-1451. ISSN 0899-7667. eISSN 1530-888X. Available under: doi: 10.1162/NECO_a_00845

BibTex

@article{Grigoryeva2016-07Nonli-35211,
  year={2016},
  doi={10.1162/NECO_a_00845},
  title={Nonlinear Memory Capacity of Parallel Time-Delay Reservoir Computers in the Processing of Multidimensional Signals},
  number={7},
  volume={28},
  issn={0899-7667},
  journal={Neural Computation},
  pages={1411--1451},
  author={Grigoryeva, Lyudmila and Henriques, Julie and Larger, Laurent and Ortega, Juan-Pablo}
}

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Bibliography of Konstanz

Yes