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Compactness of Neural Networks Cover
Open Access
|Dec 2022

References

  1. [1] Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, Karol Pąk, and Josef Urban. Mizar: State-of-the-art and beyond. In Manfred Kerber, Jacques Carette, Cezary Kaliszyk, Florian Rabe, and Volker Sorge, editors, Intelligent Computer Mathematics, volume 9150 of Lecture Notes in Computer Science, pages 261–279. Springer International Publishing, 2015. ISBN 978-3-319-20614-1. doi:10.1007/978-3-319-20615-8 17.
  2. [2] Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, and Karol Pąk. The role of the Mizar Mathematical Library for interactive proof development in Mizar. Journal of Automated Reasoning, 61(1):9–32, 2018. doi:10.1007/s10817-017-9440-6.604425130069070
  3. [3] Serge Lang. Real and Functional Analysis (Texts in Mathematics). Springer-Verlag, 1993.10.1007/978-1-4612-0897-6
  4. [4] Kazuo Matsuzaka. Sets and Topology (Introduction to Mathematics). IwanamiShoten, 2000.
  5. [5] Michael Read and Barry Simon. Functional Analysis (Methods of Modern Mathematical Physics). Academic Press, 1980.
  6. [6] Frank Rosenblatt. The Perceptron: A Probabilistic Model for Information Storage and Organization in the Brain. Psychological Review, 1958.10.1037/h004251913602029
  7. [7] David Everett Rumelhart, Geoffrey Everes Hinton, and Ronald J. Williams. Learning representations by backpropagating errors. Nature, 1986.10.1038/323533a0
  8. [8] Jürgen Schmidhuber. Deep Learning in Neural Networks: An Overview. Neural Networks, 2015.10.1016/j.neunet.2014.09.00325462637
  9. [9] Hiroshi Yamazaki, Keiichi Miyajima, and Yasunari Shidama. Ascoli-Arzelà theorem. Formalized Mathematics, 29(2):87–94, 2021. doi:10.2478/forma-2021-0009.
  10. [10] Kôsaku Yosida. Functional Analysis. Springer, 1980.
DOI: https://doi.org/10.2478/forma-2022-0002 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 13 - 21
Accepted on: Apr 30, 2022
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Published on: Dec 21, 2022
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2022 Keiichi Miyajima, Hiroshi Yamazaki, published by University of Białystok
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