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It is known that any target function is realized in a sufficiently small neighborhood of any randomly connected deep network, provided the width (the number of neurons in a layer) is sufficiently large.
1906
Earlier work this paper cites.
Rozonoer, L.I., Random logical nets, I, II, III. Avtomatika I Telemekhanica, nos. 5, 6, 7, 137–147, 99–109, 127–136, (1969)
1969
Earlier work this paper cites.
Amari, S., Characteristics of randomly connected threshold-element networks and network systems. Proc. IEEE., 59, 1, 35–47, (1971)
1971
Earlier work this paper cites.
Amari, S., A method of statistical neurodynamics. Kybernetik, 14, 201–215, (1974)
1974
Earlier work this paper cites.
Amari, S., Yoshida, K., Kanatani, K., A Mathematical foundation for statistical neurodynamics. SIAM J. Appl. Math., 33, 95–126, (1977)
1977
Earlier work this paper cites.
Amari, S., Ando, H., Toyoizumi, T., Masuda, N., State concentration exponent as a measure of quickness in Kauffman-type networks, Physical Review, E 87, 022814, (2013)
2013
Earlier work this paper cites.
Sompolinsky, H., Cristanti, A., Sommers, H. J., Chaos in random neural networks. Physical Review, E91, 032802, (2015)
2015
Earlier work this paper cites.
Poole, B., Lahiri, S., Raghu, M., Sohl-Dickstein, J., Ganguli, S., Exponential expressivity in deep neural network through transient chaos. in Advances in Neural Information Processing (NIPS), 3360–3368, (2016)
2016
Earlier work this paper cites.
Schoenholz, S.S., Gilmer, J,, Ganguli, S., Sohl-Dickstein, J., Deep information propagation. ICLR’2017, arXiv: 1611.01232, (2016)
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Amari, S., Karakida, R., Oizumi, M., Statistical neurodynamics of deep networks: Geometry of signal spaces. Nonlinear Theory and Its Applications, IEICE, vol.2, pp.1101–1115, (2019b)
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