pkde
PURPOSE
Penalised density on of one-dimensional (projected) dataset at (x)
SYNOPSIS
function [f, fkde] = pkde(x, proj, h, alpha, eta, epsilon)
DESCRIPTION
Penalised density on of one-dimensional (projected) dataset at (x)
[F, FKDE] = PKDE(X, PROJ, H, ALPHA, ETA, EPSILON)
Inputs:
(X): location of split along the projected data
(PROJ): Univariate data projection
(H): bandwidth parameter
(ALPHA): range over which minimisers of 1D density are sought
(ETA): Term in penalty function controlling maximum distance between minimisers of the
kde and the penalised density integral (recommended value: 0.01)
(EPSILON): Term in penalty function controlling smoothness (recommended value: 1)
Output:
(F): Penalised density on hyperplane at point (X)
(FKDE): Density on hyperplane at (X)CROSS-REFERENCE INFORMATION
This function calls:- fgt_kde Interface to improved Fast Gauss Transform to compute one-dimensional KDE with Gaussian kernels
- f_md Penalised density of optimal hyperplane with normal vector (V)
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