English

Non-deterministic linear thresholding systems reveal their deterministic origins

Neurons and Cognition 2023-11-23 v1

Abstract

Linear thresholding systems have been used as a model of neural activation and have more recently been proposed as a model of gene activation. Deterministic linear thresholding systems can be turned into non-deterministic systems by the introduction of noise. Under mild conditions on the noise, we show that the deterministic model can be deduced from the probabilities of the non-deterministic model.

Keywords

Cite

@article{arxiv.2311.13339,
  title  = {Non-deterministic linear thresholding systems reveal their deterministic origins},
  author = {Anna Laddach and Michael Shapiro},
  journal= {arXiv preprint arXiv:2311.13339},
  year   = {2023}
}

Comments

4 pages

R2 v1 2026-06-28T13:28:29.738Z