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An Extreme Learning Machine Approach to Density Estimation Problems

delete2017-10-01
delete16
PRE
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C
Cristiano Cervellera *
D
Danilo Macciò
DOI:10.1109/TCYB.2017.2648261delete
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Abstract

Abstract

En 中文
In this paper, we discuss how the extreme learning machine (ELM) framework can be effectively employed in the unsupervised context of multivariate density estimation. In particular, two algorithms are introduced, one for the estimation of the cumulative distribution function underlying the observed data, and one for the estimation of the probability density function. The algorithms rely on the concept of F-discrepancy, which is closely related to the Kolmogorov-Smirnov criterion for goodness of fit. Both methods retain the key feature of the ELM of providing the solution through random assignment of the hidden feature map and a very light computational burden. A theoretical analysis is provided, discussing convergence under proper hypotheses on the chosen activation functions. Simulation tests show how ELMs can be successfully employed in the density estimation framework, as a possible alternative to other standard methods.
Keywords:
Density estimation
extreme learning machine (ELM)
F-discrepancy
unsupervised learning
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Journal

IEEE Transactions on Cybernetics cover
IEEE Transactions on Cybernetics
IF:
10.5
Papers:
1.1W
Citations:
5.0W

Organization

C
consiglio nazionale delle ricerche (cnr)
Scholars:
6.2W
Papers: 5.7W
Citations: 48