Deep stable neural networks: Large-width asymptotics and convergence rates

Author:

Favaro Stefano1,Fortini Sandra2,Peluchetti Stefano3

Affiliation:

1. Department of Economics and Statistics, University of Torino and Collegio Carlo Alberto, Torino, 10134, Italy

2. Department of Decision Sciences, Bocconi University, Milano, 20136 Italy

3. Cogent Labs 36F 3-2-1 Roppongi, Minato-ku, Tokyo, Japan

Publisher

Bernoulli Society for Mathematical Statistics and Probability

Subject

Statistics and Probability

Reference43 articles.

1. Billingsley, P. (1999). Convergence of Probability Measures, 2nd ed. Wiley Series in Probability and Statistics: Probability and Statistics. New York: Wiley. 10.1002/9780470316962

2. Blackwell, D. and Dubins, L. (1962). Merging of opinions with increasing information. Ann. Math. Stat. 33 882–886. 10.1214/aoms/1177704456

3. Gnedenko, B.V. and Kolmogorov, A.N. (1954). Limit Distributions for Sums of Independent Random Variables. Cambridge, MA: Addison-Wesley.

4. Aitken, K. and Gur-Ari, G. (2020). On the asymptotics of wide networks with polynomial activations. Preprint. Available at arXiv:2006.06687.

5. Andreassen, A. and Dyer, E. (2020). Asymptotics of wide convolutional neural networks. Preprint. Available at arXiv:2008.08675.

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