Discrete approach to machine learning

Dmitriy Kashitsyn, Dmitriy Shabanov
7/19/2025
cs.LGcs.ETcs.IT

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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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Cite this paper

@article{kashitsyn2025discrete,
  title  = {Discrete approach to machine learning},
  author = {Dmitriy Kashitsyn and Dmitriy Shabanov},
  year   = {2025},
  eprint = {2508.00869},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2508.00869v1}
}

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