Data Mining: Dimensionality Reduction — Expert Reference · Introduction

Introduction

What this guide covers

A comprehensive mathematical and algorithmic compendium on linear and nonlinear attribute space reduction techniques. Variety theory, spectral optimization and cases applied with scientific rigor.

Overview

Topics covered

Introduction
Dimensionality Reduction
Introduction and the Curse of Dimensionality
The Empty Space Phenomenon
Concentration of Distances
Fundamentals of Linear Algebra and Multivariate Geometry

Related concepts

Main connections

Compatible notation

Mathematical sample in LaTeX

The expression is rendered accessibly, with its LaTeX source preserved below.

V_D(r) = \frac{\pi^{D/2}}{\Gamma(D/2 + 1)} r^D

View LaTeX source

V_D(r) = \frac{\pi^{D/2}}{\Gamma(D/2 + 1)} r^D