The DOI matches its Crossref record; 31 of the 32 references it cites were found in a registry or an index.
Optimization and applications of echo state networks with leaky- integrator neurons
Abstract
Standard echo state networks (ESNs) are built from simple additive units with a sigmoid activation function. Here we investigate ESNs whose reservoir units are leaky integrator units. Units of this type have individual state dynamics, which can be exploited in various ways to accommodate the network to the temporal characteristics of a learning task. We present stability conditions, introduce and investigate a stochastic gradient descent method for the optimization of the global learning parameters (input and output feedback scalings, leaking rate, spectral radius) and demonstrate the usefulness of leaky-integrator ESNs for (i) learning very slow dynamic systems and replaying the learnt system at different speeds, (ii) classifying relatively slow and noisy time series (the Japanese Vowel dataset--here we obtain a zero test error rate), and (iii) recognizing strongly time-warped dynamic patterns.
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“Finally, we show that a randomly connected circuit model, akin to a “reservoir” network13-15, can reproduce the observed distribution of timescales, provided that the network operates at the critical point (or “edge of chaos”)16-18.”
From A reservoir of time constants for memory traces in cortical neurons (2011) · cites this paper as [14]
In the citing paper
“Those models predict that the memory of input signals is stored in a large, recurrent and heterogeneous network (reservoir), in a distributed manner, and that a desired output is obtained by a trainable combination of the response signals in the reservoir.”
From A reservoir of time constants for memory traces in cortical neurons (2011) · cites this paper as [14]
In the citing paper
“Reservoir-type networks have been the subject of active research in computational neuroscience and machine learning13-15, but so far experimental support that such networks are adopted by the brain has been lacking.”
From A reservoir of time constants for memory traces in cortical neurons (2011) · cites this paper as [14]
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Metadata
- Authors
- Jaeger, H., Lukoševičius, M., Popovici, D., & Siewert, U.
- Affiliations
- Constructor University (DE)
- Planet (DE)
- Corresponding author
- Jaeger, Herbert
- Venue
- Neural Networks
- Publisher
- Elsevier BV
- Published
- 2007-04
- Volume
- 20
- Issue
- 3
- Pages
- 335-352
- ISSN
- 0893-6080 (ISSN-L)
- OpenAlex
- W2001263627
- Semantic Scholar
- 370984d3910e61d41ee8318714cd610b689de726
- Cited by
- 948
- References
- 32
- Citations by year
- 2026: 61 · 2025: 87 · 2024: 90 · 2023: 65 · 2022: 71 · 2021: 68 · 2020: 68 · 2019: 81 · 2018: 51 · 2017: 38 · 2016: 44 · 2015: 33 · 2014: 37 · 2013: 28 · 2012: 42
- FWCI
- 24.86
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Neural Networks (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Neural Networks and Reservoir Computing
- Physical Sciences › Computer Science › Artificial Intelligence › Neural Networks and Applications
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Advanced Memory and Neural Computing
- Keywords
- echo state networks, reservoir computing, stability conditions, stochastic gradient descent, spectral radius, time series classification, time warping
- MeSH terms
- Animals, Feedback, Humans, Learning, Models, Neurological, Nerve Net, Neurons, Stochastic Processes, Neural Networks, Computer, Nonlinear Dynamics, Recognition, Psychology
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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