mlsanityData to 14 Oct 2026

How noise affects memory in linear recurrent networks

arXiv 2409.03187 ↗First posted 5 Sep 2024cs.NE cond-mat.dis-nn cs.LGcited by 2

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Abstract (arXiv)

The effects of noise on memory in a linear recurrent network are theoretically investigated. Memory is characterized by its ability to store previous inputs in its instantaneous state of network, which receives a correlated or uncorrelated noise. Two major properties are revealed: First, the memory reduced by noise is uniquely determined by the noise's power spectral density (PSD). Second, the memory will not decrease regardless of noise intensity if the PSD is in a certain class of distribution (including power law). The results are verified using the human brain signals, showing good agreement.

Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). Builds on 5 of its 56 references that are in the map. First posted on arXiv 5 Sep 2024.

Builds on

5 of 56 references.

References · 5

  1. 2020Physical reservoir computing -- An introductory perspectivecited by 58
  2. 2019A Unifying Framework for Information Processing in Stochastically Driven Dynamical Systemscited by 16
  3. 2020Memory and forecasting capacities of nonlinear recurrent networkscited by 11
  4. 2019Optimal short-term memory before the edge of chaos in driven random recurrent networkscited by 6
  5. 2023Memory of recurrent networks: Do we compute it right?cited by 6

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2025: 1; 2026: 1.

2 papers.