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Complexity of random smooth functions on the high-dimensional sphere
Work
Year: 2013
Type: article
Abstract: We analyze the landscape of general smooth Gaussian functions on the sphere in dimension $N$, when $N$ is large. We give an explicit formula for the asymptotic complexity of the mean number of critica... more
Source: The Annals of Probability
Authors Antonio Auffinger, Gérard Ben Arous
Institutions Courant Institute of Mathematical Sciences, New York University, University of Chicago
Cites: 18
Cited by: 152
Related to: 10
FWCI: 4.96
Citation percentile (by year/subfield): 99.98
Topic: Random Matrices and Applications
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Sustainable Development Goal Sustainable cities and communities
Open Access status: hybrid