Geodesic
Absence of bottlenecks in a neural network determines its generic functional properties
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 490 (2020), pp. 74-77

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It is proved that an artificial neural network with smooth activation functions and without bottlenecks is a Morse function for almost all, with respect to the Lebesgue measure, sets of weights.
Keywords: neural network, Morse function. 
@article{DANMA_2020_490_a16,
     author = {S. V. Kurochkin},
     title = {Absence of bottlenecks in a neural network determines its generic functional properties},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {74--77},
     publisher = {mathdoc},
     volume = {490},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2020_490_a16/}
}
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S. V. Kurochkin. Absence of bottlenecks in a neural network determines its generic functional properties. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 490 (2020), pp. 74-77. http://geodesic.mathdoc.fr/item/DANMA_2020_490_a16/