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Memory-non-linearity trade-off in distance-based delay networks

Stefan-Teodor Iacob (UGent) and Joni Dambre (UGent)
(2024) BIOMIMETICS. 9(12).
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Abstract
The performance of echo state networks (ESNs) in temporal pattern learning tasks depends both on their memory capacity (MC) and their non-linear processing. It has been shown that linear memory capacity is maximized when ESN neurons have linear activation, and that a trade-off between non-linearity and linear memory capacity is required for temporal pattern learning tasks. The more recent distance-based delay networks (DDNs) have shown improved memory capacity over ESNs in several benchmark temporal pattern learning tasks. However, it has not thus far been studied whether this increased memory capacity comes at the cost of reduced non-linear processing. In this paper, we advance the hypothesis that DDNs in fact achieve a better trade-off between linear MC and non-linearity than ESNs, by showing that DDNs can have strong non-linearity with large memory spans. We tested this hypothesis using the NARMA-30 task and the bitwise delayed XOR task, two commonly used reservoir benchmark tasks that require a high degree of both non-linearity and memory.
Keywords
information processing capacity, memory capacity, memory-non-linearity trade-off, reservoir computing, distance-based delay networks, echo state networks

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MLA
Iacob, Stefan-Teodor, and Joni Dambre. “Memory-Non-Linearity Trade-off in Distance-Based Delay Networks.” BIOMIMETICS, vol. 9, no. 12, 2024, doi:10.3390/biomimetics9120755.
APA
Iacob, S.-T., & Dambre, J. (2024). Memory-non-linearity trade-off in distance-based delay networks. BIOMIMETICS, 9(12). https://doi.org/10.3390/biomimetics9120755
Chicago author-date
Iacob, Stefan-Teodor, and Joni Dambre. 2024. “Memory-Non-Linearity Trade-off in Distance-Based Delay Networks.” BIOMIMETICS 9 (12). https://doi.org/10.3390/biomimetics9120755.
Chicago author-date (all authors)
Iacob, Stefan-Teodor, and Joni Dambre. 2024. “Memory-Non-Linearity Trade-off in Distance-Based Delay Networks.” BIOMIMETICS 9 (12). doi:10.3390/biomimetics9120755.
Vancouver
1.
Iacob S-T, Dambre J. Memory-non-linearity trade-off in distance-based delay networks. BIOMIMETICS. 2024;9(12).
IEEE
[1]
S.-T. Iacob and J. Dambre, “Memory-non-linearity trade-off in distance-based delay networks,” BIOMIMETICS, vol. 9, no. 12, 2024.
@article{01JH7M863X1MP0YDD99RW4M4N7,
  abstract     = {{The performance of echo state networks (ESNs) in temporal pattern learning tasks depends both on their memory capacity (MC) and their non-linear processing. It has been shown that linear memory capacity is maximized when ESN neurons have linear activation, and that a trade-off between non-linearity and linear memory capacity is required for temporal pattern learning tasks. The more recent distance-based delay networks (DDNs) have shown improved memory capacity over ESNs in several benchmark temporal pattern learning tasks. However, it has not thus far been studied whether this increased memory capacity comes at the cost of reduced non-linear processing. In this paper, we advance the hypothesis that DDNs in fact achieve a better trade-off between linear MC and non-linearity than ESNs, by showing that DDNs can have strong non-linearity with large memory spans. We tested this hypothesis using the NARMA-30 task and the bitwise delayed XOR task, two commonly used reservoir benchmark tasks that require a high degree of both non-linearity and memory.}},
  articleno    = {{755}},
  author       = {{Iacob, Stefan-Teodor and Dambre, Joni}},
  issn         = {{2313-7673}},
  journal      = {{BIOMIMETICS}},
  keywords     = {{information processing capacity,memory capacity,memory-non-linearity trade-off,reservoir computing,distance-based delay networks,echo state networks}},
  language     = {{eng}},
  number       = {{12}},
  pages        = {{19}},
  title        = {{Memory-non-linearity trade-off in distance-based delay networks}},
  url          = {{http://doi.org/10.3390/biomimetics9120755}},
  volume       = {{9}},
  year         = {{2024}},
}

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