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Illuminating the black box of reservoir computing.

Overview

Authors: Claus Metzner1, Thomas Kinfe2, Andreas Maier1, Achim Schilling2,3, Patrick Krauss1,2,3
  1. Cognitive Computational Neuroscience Group, Pattern Recognition Lab, Friedrich-Alexander-University Erlangen-Nürnberg (FAU), Erlangen, Germany
  2. Mannheim Center for Neuromodulation and Neuroprosthetics (MCNN), University Hospital Mannheim, University Heidelberg, Heidelberg, Germany
  3. Neuroscience Lab, University Hospital Erlangen, Erlangen, Germany
Journal: Scientific reports, volume 16, issue 1, article 15500
Dates: received 21 November 2025; accepted 11 May 2026; published online 19 May 2026
Type: Research article · Language: English
License: CC BY
Identifiers: DOI 10.1038/s41598-026-53098-y · PMID 42156964 · PMCID PMC13187431 · OpenAlex W4416595163
Open access: gold, a free copy (OpenAlex)
Status: code on request
Methods: Smoothing, state filtering, decompositions, Connectivity
Keywords: Engineering, Mathematics and computing, Neuroscience, Physics
Topic: Neural Networks and Reservoir Computing (Artificial Intelligence, Computer Science), according to OpenAlex
Citations: not cited yet (Europe PMC); 52 references in the paper

Abstract

Reservoir computers, using recurrent neural networks with fixed random connections, are known to perform a wide range of information-processing tasks. Yet the transformations taking place within the reservoir, the interaction between input matrix, reservoir, and readout layer, and the influence of key design parameters remain insufficiently understood. Here, we shift the focus from performance maximization to the identification of minimal computational requirements for different model tasks. We investigate how many neurons and how much nonlinearity are needed to solve specific tasks, including cases with non-sigmoidal activation functions. Our results show that the division of labor between input matrix, reservoir, and readout layer depends strongly on the task. In many cases, a weakly coupled and only minimally nonlinear reservoir proves sufficient. In addition, features often considered secondary, such as the structure of the input matrix or the steepness of the activation functions, can become decisive for performance.

Reproduced under the paper's license (CC BY), from the paper cited above.

Code

The paper says that its authors' code is available on request: it was not published with the paper, so there is nothing to verify.

Tracing map

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Data

No dataset and no data link were found in the paper.

Data availability

The complete data and analysis programs will be made available upon reasonable request.

Reproduced under the paper's license (CC BY), from the paper cited above.

Versions

The history of this record: each version stored by the harvester or made by a correction of its authors or of the maintainers of its code, and what changed in its facts. The texts of the paper (its abstract, its availability statements) are not part of it; versions that changed only those are not listed.

Version 2, 28 September 2026

  • Funding: added Friedrich-Alexander-Universität Erlangen-Nürnberg

Version 1, 28 September 2026: the first record

Recorded: type, language, journal, volume, issue, pages, dates, 5 authors, 4 keywords, 35 references.

Cite

This paper

Metzner, C., Kinfe, T., Maier, A., Schilling, A., & Krauss, P. (2026). Illuminating the black box of reservoir computing. Scientific reports, 16(1), 15500. https://doi.org/10.1038/s41598-026-53098-y

BibTeX

@article{metzner2026illuminating,
author = {Metzner, Claus and Kinfe, Thomas and Maier, Andreas and Schilling, Achim and Krauss, Patrick},
title = {{Illuminating the black box of reservoir computing}},
journal = {Scientific reports},
year = {2026},
month = may,
volume = {16},
number = {1},
pages = {15500},
publisher = {Nature Publishing Group},
issn = {2045-2322},
doi = {10.1038/s41598-026-53098-y},
url = {https://doi.org/10.1038/s41598-026-53098-y},
pmid = {42156964},
pmcid = {PMC13187431}
}

RIS

TY - JOUR
AU - Metzner, Claus
AU - Kinfe, Thomas
AU - Maier, Andreas
AU - Schilling, Achim
AU - Krauss, Patrick
TI - Illuminating the black box of reservoir computing
T2 - Scientific reports
J2 - Sci Rep
PY - 2026
DA - 2026/05/19
VL - 16
IS - 1
SP - 15500
SN - 2045-2322
PB - Nature Publishing Group
DO - 10.1038/s41598-026-53098-y
UR - https://doi.org/10.1038/s41598-026-53098-y
LA - en
ER -

CSL-JSON

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