Corpus ID: 220128132

Homotopy Theoretic and Categorical Models of Neural Information Networks

@article{Manin2020HomotopyTA,
  title={Homotopy Theoretic and Categorical Models of Neural Information Networks},
  author={Yu. I. Manin and Matilde Marcolli},
  journal={ArXiv},
  year={2020},
  volume={abs/2006.15136}
}
  • Yu. I. Manin, Matilde Marcolli
  • Published 2020
  • Computer Science, Mathematics
  • ArXiv
  • In this paper we develop a novel mathematical formalism for the modeling of neural information networks endowed with additional structure in the form of assignments of resources, either computational or metabolic or informational. The starting point for this construction is the notion of summing functors and of Segal’s Gamma-spaces in homotopy theory. The main results in this paper include functorial assignments of concurrent/distributed computing architectures and associated binary codes to… CONTINUE READING

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