Supervised Machine Learning with a Novel Kernel Density Estimator

09/18/2007
by   Yen-Jen Oyang, et al.
0

In recent years, kernel density estimation has been exploited by computer scientists to model machine learning problems. The kernel density estimation based approaches are of interest due to the low time complexity of either O(n) or O(n*log(n)) for constructing a classifier, where n is the number of sampling instances. Concerning design of kernel density estimators, one essential issue is how fast the pointwise mean square error (MSE) and/or the integrated mean square error (IMSE) diminish as the number of sampling instances increases. In this article, it is shown that with the proposed kernel function it is feasible to make the pointwise MSE of the density estimator converge at O(n^-2/3) regardless of the dimension of the vector space, provided that the probability density function at the point of interest meets certain conditions.

READ FULL TEXT
research
10/31/2007

Supervised Machine Learning with a Novel Pointwise Density Estimator

This article proposes a novel density estimation based algorithm for car...
research
03/11/2018

Adaptive Kernel Estimation of the Spectral Density with Boundary Kernel Analysis

A hybrid estimator of the log-spectral density of a stationary time seri...
research
02/26/2018

Averaging of density kernel estimators

Averaging provides an alternative to bandwidth selection for density ker...
research
10/08/2018

Estimation of the weighted integrated square error of the Grenander estimator by the Kolmogorov-Smirnov statistic

We consider in this paper the Grenander estimator of unbounded, in gener...
research
08/01/2022

Learning Transfer Operators by Kernel Density Estimation

Inference of transfer operators from data is often formulated as a class...
research
03/11/2018

Adaptive Smoothing of the Log-Spectrum with Multiple Tapering

A hybrid estimator of the log-spectral density of a stationary time seri...
research
05/23/2022

Scalable Kernel-Based Minimum Mean Square Error Estimator for Accelerated Image Error Concealment

Error concealment is of great importance for block-based video systems, ...

Please sign up or login with your details

Forgot password? Click here to reset