Cognitive Computing and Networks
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Abstract
Abstract
Objectives: This paper aims to apply categorical math notions and functional programming in the cognitive field of study. Prior Work: I am using a monad, an endofunctor in the category of monoids, to represent the process of learning. Approach: For this purpose, I have used financial math modeling and Taylor series. Results: The model obtained combines compound interest rate with structural correctors and tail-decaying order terms. Implications: This paper is important for employing methods from different fields of study (finance, math, functional programming) to develop a versatile model for the learning process. Value: This paper is original for applying natural growing metrics and the auto-similarity concept in cognitive sciences.
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@article{Tonis2026Monad,
title = {The Monad: A Formal Model of the Learning Process},
author = {Radu Bucea Manea Tonis},
journal = {Didactica Danubiensis},
year = {2026},
url = {https://dj.univ-danubius.ro/index.php/DD/article/view/4157}
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