Freeness in cognitive science
Neurons and Cognition
2023-11-09 v1 Mathematical Physics
math.MP
Probability
Adaptation and Self-Organizing Systems
Abstract
In this mini-review, dedicated to the Jubilee of Professor Tadeusz Marek, we highlight in a popular way the power of so-called free random variables (hereafter FRV) calculus, viewed as a potential probability calculus for the XXI century, in applications to the broad area of cognitive sciences. We provide three examples: (i) inference of noisy signals from multivariate correlation data from the brain; (ii) distinguished role of non-normality in real neuronal models; (iii) applications to the field of deep learning in artificial neural networks.
Cite
@article{arxiv.2311.04307,
title = {Freeness in cognitive science},
author = {Ewa Gudowska-Nowak and Maciej A. Nowak},
journal= {arXiv preprint arXiv:2311.04307},
year = {2023}
}
Comments
11 pages, 2 figures. Mini-review dedicated to the Jubilee of Professor Tadeusz Marek