fixed documentation and doxygen
This commit is contained in:
@@ -1,20 +1,6 @@
|
||||
/**
|
||||
* @file kernel_pca.h
|
||||
* It computes kernel pca as described by Smola in
|
||||
* the following paper.
|
||||
*
|
||||
* It also computes Local Linear Embedding as described in the
|
||||
* paper
|
||||
*
|
||||
*
|
||||
* Another spectral method implemented here is spectral regression
|
||||
* as described in the paper
|
||||
*
|
||||
* In the future it will also support Laplacian Eigenmaps
|
||||
* described here:
|
||||
*
|
||||
* and Diffusion Maps
|
||||
* described here
|
||||
* nvasil@ieee.org
|
||||
*/
|
||||
#ifndef KERNEL_PCA_H_
|
||||
#define KERNEL_PCA_H_
|
||||
@@ -30,18 +16,70 @@
|
||||
#include "u/nvasil/allknn/allknn.h"
|
||||
|
||||
class KernelPCATest;
|
||||
/*
|
||||
/**
|
||||
* KernelPCA class is the main class that implements several spectral methods
|
||||
* that are variances of Kernel PCA
|
||||
* Most of them share an affinity (proximity) )matrix that is computed
|
||||
* with the dual-tree all nearest algorithm. All these methods share
|
||||
* this affinity matrix and then define their own kernel matrix based on
|
||||
* that. Only distance kernels are supported, kernels that are f(distance)
|
||||
*
|
||||
* It computes kernel pca as described by Smola in
|
||||
* the following paper.
|
||||
* @article{scholkopf1999kpc,
|
||||
* title={{Kernel principal component analysis}},
|
||||
* author={Scholkopf, B. and Smola, A. and Muller, K.R.},
|
||||
* journal={Advances in Kernel Methods-Support Vector Learning},
|
||||
* pages={327--352},
|
||||
* year={1999},
|
||||
* publisher={Cambridge MA: MIT Press}
|
||||
* }
|
||||
* It also computes Local Linear Embedding as described in the
|
||||
* paper
|
||||
* @misc{roweis2000ndr,
|
||||
* title={{Nonlinear Dimensionality Reduction by Locally Linear Embedding}},
|
||||
* author={Roweis, S.T. and Saul, L.K.},
|
||||
* journal={Science},
|
||||
* volume={290},
|
||||
* number={5500},
|
||||
* pages={2323--2326},
|
||||
* year={2000}
|
||||
* }
|
||||
*
|
||||
* Another spectral method implemented here is spectral regression
|
||||
* as described in the paper
|
||||
* @article{cai2007sru,
|
||||
* title={{Spectral regression: a unified subspace learning framework for content-based image retrieval}},
|
||||
* author={Cai, D. and He, X. and Han, J.},
|
||||
* journal={Proceedings of the 15th international conference on Multimedia},
|
||||
* pages={403--412},
|
||||
* year={2007},
|
||||
* publisher={ACM Press New York, NY, USA}
|
||||
* }
|
||||
* In the future it will also support Laplacian Eigenmaps
|
||||
* described here:
|
||||
* @misc{belkin2003led,
|
||||
* title={{Laplacian Eigenmaps for Dimensionality Reduction and Data Representation}},
|
||||
* author={Belkin, M. and Niyogi, P.},
|
||||
* journal={Neural Computation},
|
||||
* volume={15},
|
||||
* number={6},
|
||||
* pages={1373--1396},
|
||||
* year={2003},
|
||||
* publisher={MIT Press}
|
||||
* }
|
||||
* and Diffusion Maps
|
||||
* described here:
|
||||
* @phdthesis{lafon:dma,
|
||||
* title={{Diffusion Maps and Geodesic Harmonics}},
|
||||
* author={Lafon, S.},
|
||||
* school={Ph. D. Thesis, Yale University, 2004}
|
||||
* }
|
||||
*/
|
||||
class KernelPCA {
|
||||
public:
|
||||
friend class KernelPCATest;
|
||||
/*
|
||||
/**
|
||||
* Example of a kernel. It should be a class overloading the
|
||||
* operator()
|
||||
* Here we have the gaussian kernel
|
||||
|
||||
Reference in New Issue
Block a user