Springerbriefs in Computer Science

By: David B. Skillicorn

Write A Review

Paperback | 27 September 2012

At a Glance

Paperback
120 Pages

Dimensions(cm)
23.5 x 15.88 x 0.64

Paperback

$84.99

or 4 interest-free payments of $21.25 with

Ships in 5 to 7 business days

High-dimensional spaces arise as a way of modelling datasets with many attributes. Such a dataset can be directly represented in a space spanned by its attributes, with each record represented as a point in the space with its position depending on its attribute values. Such spaces are not easy to work with because of their high dimensionality: our intuition about space is not reliable, and measures such as distance do not provide as clear information as we might expect.

There are three main areas where complex high dimensionality and large datasets arise naturally: data collected by online retailers, preference sites, and social media sites, and customer relationship databases, where there are large but sparse records available for each individual; data derived from text and speech, where the attributes are words and so the corresponding datasets are wide, and sparse; and data collected for security, defense, law enforcement, and intelligence purposes, where the datasets are large and wide. Such datasets are usually understood either by finding the set of clusters they contain or by looking for the outliers, but these strategies conceal subtleties that are often ignored. In this book the author suggests new ways of thinking about high-dimensional spaces using two models: a skeleton that relates the clusters to one another; and boundaries in the empty space between clusters that provide new perspectives on outliers and on outlying regions.

The book will be of value to practitioners, graduate students and researchers.

Industry Reviews

From the reviews:

Selected by Computing Reviews as one of the Best Reviews & Notable Books of 2013

"This brief eight-chapter book seeks to provide the reader with the tools to perform analysis of high-dimensional datasets and spaces. ... book follows a very gentle trajectory. ... This gentle approach makes the book accessible to those unfamiliar with the field of data analysis. ... a good introduction to the area of cluster analysis of high-dimensional data. ... a useful addition to the existing literature on cluster analysis in high-dimensional spaces by providing a starting point for those wanting an initial grounding in the area." (Harry Strange, Computing Reviews, May, 2013)

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $89.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

Introduction	p. 1
A Natural Representation of Data Similarity	p. 3
Goals	p. 8
Outline	p. 10
Basic Structure of High-Dimensional Spaces	p. 13
Comparing Attributes	p. 13
Comparing Records	p. 14
Similarity	p. 14
High-Dimensional Spaces	p. 16
Summary	p. 18
Algorithms	p. 19
Improving the Natural Geometry	p. 19
Projection	p. 20
Singular Value Decompositions	p. 20
Random Projections	p. 22
Algorithms that Find Standalone Clusters	p. 23
Clusters Based on Density	p. 23
Parallel Coordinates	p. 24
Independent Component Analysis	p. 24
Latent Dirichlet Allocation	p. 25
Algorithms that Find Clusters and Their Relationships	p. 25
Clusters Based on Distance	p. 25
Clusters Based on Distribution	p. 26
Semidiscrete Decomposition	p. 27
Hierarchical Clustering	p. 29
Minimum Spanning Tree with Collapsing	p. 29
Overall Process for Constructing a Skeleton	p. 30
Algorithms that Wrap Clusters	p. 31
Distance-Based	p. 32
Distribution-Based	p. 32
1-Class Support Vector Machines	p. 32
Autoassociative Neural Networks	p. 33
Covers	p. 34
Algorithms to Place Boundaries Between Clusters	p. 34
Support Vector Machines	p. 35
Random Forests	p. 35
Overall Process for Constructing Empty Space	p. 36
Summary	p. 37
Spaces with a Single Center	p. 39
Using Distance	p. 39
Using Density	p. 40
Understanding the Skeleton	p. 42
Understanding Empty Space	p. 43
Summary	p. 45
Spaces with Multiple Centers	p. 47
What is a Cluster?	p. 48
Identifying Clusters	p. 50
Clusters Known Already	p. 50
Finding Clusters	p. 50
Finding the Skeleton	p. 55
Empty Space	p. 58
An Outer Boundary and Novel Data	p. 58
Interesting Data	p. 60
One-Cluster Boundaries	p. 63
One-Cluster-Against-the-Rest Boundaries	p. 63
Summary	p. 64
Representation by Graphs	p. 67
Building a Graph from Records	p. 68
Local Similarities	p. 68
Embedding Choices	p. 69
Using the Embedding for Clustering	p. 70
Summary	p. 71
Using Models of High-Dimensional Spaces	p. 73
Understanding Clusters	p. 73
Structure in the Set of Clusters	p. 76
Semantic Stratified Sampling	p. 77
Ranking Using the Skeleton	p. 78
Ranking Using Empty Space	p. 87
Applications to Streaming Data	p. 89
Concealment	p. 90
Summary	p. 91
Including Contextual Information	p. 93
What is Context?	p. 93
Changing Data	p. 93
Changing Analyst and Organizational Properties	p. 94
Changing Algorithmic Properties	p. 95
Letting Context Change the Models	p. 95
Recomputing the View	p. 95
Recomputing Derived Structures	p. 96
Recomputing the Clustering	p. 97
Summary	p. 98
Conclusions	p. 99
References	p. 103
Index	p. 107
Table of Contents provided by Ingram. All Rights Reserved.

Springerbriefs in Computer Science

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Business Aspects of E-Commerce

HBR's 10 Must Reads on Marketing

HBR's 10 Must Reads

Open to Work

How to Get Ahead in the Age of AI

Trade Like a Stock Market Wizard

How to Achieve Super Performance in Stocks in Any Market

Measure What Matters

The Simple Idea that Drives 10x Growth

Click Here

The Art and Science of Digital Marketing and Advertising

Company of One

Why Staying Small is the Next Big Thing for Business

The Visual MBA

A Quick Guide to Everything You'll Learn in Two Years of Business School

Make Money Easy

Create Financial Freedom and Live a Richer Life

Don't Stress, Just Invest

It's time to set up your investments and get on with your life

The Art of SEO

Mastering Search Engine Optimization

Blockchain

Blueprint for a New Economy

The LinkedIn Edge

New Sales Strategies for Unleashing the Power of LinkedIn + AI to Cold Call Less and Sell More

The 10 Principles of Effective Social Media Marketing

Strategies to Guarantee Impact

Instagram For Business For Dummies

For Dummies (Business & Personal Finance)

Endless Customers

A Proven System to Build Trust, Drive Sales, and Become the Market Leader

Better Brand Health

Measures and Metrics for a How Brands Grow World

E-commerce 2023-2024

18 Edition - business. technology. society

Marketing For Dummies

For Dummies (Business & Personal Finance)

Cryptocurrency Investing For Dummies

2nd Edition

How to Sell Anything Online

The Ultimate Marketing Playbook to Grow Your Online Business

The Personal Branding Playbook

Turn Your Personality Into Your Competitive Advantage

Digital Marketing

2nd Edition - 2024 Release ISE

Selling Online For Dummies

For Dummies (Computer/Tech)

Your Book Is Your Business

Money-Making Marketing Strategies from the Black Women Publishing Revolution

This product is categorised by