English

Simulation Example of a Black Noise

Probability 2023-06-19 v1

Abstract

B. Tsirelson and A. M. Vershik (1998) introduced the notion of a mathematical noise, which possesses completely opposite properties to those of a white noise. Afterward, B. Tsirelson (2004) called this noise: `black noise.' In this paper, we provide a method to simulate black noise using a modified Bayesian convolutional neural network. Then we study the behavior of black noise both numerically and visually.

Cite

@article{arxiv.2306.09771,
  title  = {Simulation Example of a Black Noise},
  author = {Takafumi Amaba and Takahiro Aoyama and Shota Araki and Shu Eguchi},
  journal= {arXiv preprint arXiv:2306.09771},
  year   = {2023}
}

Comments

17 pages, 10 figures. The article was accepted for publication in Japan Journal of Industrial and Applied Mathematics (JJIAM). The authenticated version is available online at https://rdcu.be/dehE0

R2 v1 2026-06-28T11:07:05.881Z