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Discrete approach to machine learning

19 July 2025
Dmitriy Kashitsyn
Dmitriy Shabanov
ArXiv (abs)PDFHTML
Main:52 Pages
38 Figures
Bibliography:4 Pages
6 Tables
Appendix:1 Pages
Abstract

The article explores an encoding and structural information processing approach using sparse bit vectors and fixed-length linear vectors. The following are presented: a discrete method of speculative stochastic dimensionality reduction of multidimensional code and linear spaces with linear asymptotic complexity; a geometric method for obtaining discrete embeddings of an organised code space that reflect the internal structure of a given modality. The structure and properties of a code space are investigated using three modalities as examples: morphology of Russian and English languages, and immunohistochemical markers. Parallels are drawn between the resulting map of the code space layout and so-called pinwheels appearing on the mammalian neocortex. A cautious assumption is made about similarities between neocortex organisation and processes happening in our models.

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