Book Image

Mathematica Data Analysis

By : Sergiy Suchok
Book Image

Mathematica Data Analysis

By: Sergiy Suchok

Overview of this book

There are many algorithms for data analysis and it’s not always possible to quickly choose the best one for each case. Implementation of the algorithms takes a lot of time. With the help of Mathematica, you can quickly get a result from the use of a particular method, because this system contains almost all the known algorithms for data analysis. If you are not a programmer but you need to analyze data, this book will show you the capabilities of Mathematica when just few strings of intelligible code help to solve huge tasks from statistical issues to pattern recognition. If you're a programmer, with the help of this book, you will learn how to use the library of algorithms implemented in Mathematica in your programs, as well as how to write algorithm testing procedure. With each chapter, you'll be more immersed in the special world of Mathematica. Along with intuitive queries for data processing, we will highlight the nuances and features of this system, allowing you to build effective analysis systems. With the help of this book, you will learn how to optimize the computations by combining your libraries with the Mathematica kernel.
Table of Contents (15 chapters)
Mathematica Data Analysis
Credits
About the Author
About the Reviewer
www.PacktPub.com
Preface
Index

Preface

There are many algorithms for data analysis, and it's not always possible to quickly choose the best one for each case. The implementation of algorithms takes a lot of time. With the help of Mathematica, you can quickly get a result using a particular method because this system contains almost all known-algorithms for data analysis. If you are not a programmer but you need to analyze data, this book will show the capabilities of Mathematica that use just a few strings of intelligible code to solve huge tasks ranging from statistical issues to pattern recognition. If you're a programmer, with the help of this book, you will learn how to use the library of algorithms implemented in Mathematica in your programs, as well as how to write algorithm testing procedures.

With each chapter, you'll immerse yourself more into the special world of Mathematica. Along with intuitive queries for data processing, the nuances and features of this system will be highlighted allowing you to build effective analysis systems.

What this book covers

Chapter 1, First Steps in Data Analysis, describes how to install the Wolfram Mathematica software and starts us off by giving a tour of the Mathematica language features and the basic components of the system: front end and kernel.

Chapter 2, Broad Capabilities for Data Import, examines the basic functions that are used to import data into Mathematica. You will also learn how to cast these data into a form that is convenient for analysis and check it for errors and completeness.

Chapter 3, Create an Interface for an External Program, focuses on the basic skills to transfer accumulated data-processing tools to Mathematica, as well as to use Mathematica's capabilities in computing expressions in other systems.

Chapter 4, Analyzing Data with the Help of Mathematica, covers Mathematica's functions that help to perform data classification and data clustering. You will know how to recognize faces, classify objects in a picture, and work with textual information by identifying the language of the text and recognizing it.

Chapter 5, Discovering the Advanced Capabilities of Time Series, profiles the various ways to process and generate time series. You will find out how time series processes are analyzed and become familiar with the main model type of these processes such as MA, AR, ARMA, and SARIMA. You will able to check observation data for stationary, autocorrelation, and invertibility.

Chapter 6, Statistical Hypothesis Testing in Two Clicks, deals with hypothesis testing on possible parameters. Several examples are provided, which will check the degree of dependence of data samples and test the hypothesis on true distribution of the samples.

Chapter 7, Predicting the Dataset Behavior, takes a moment to look at some useful functions that help in finding regularities and predict the behavior of numeric data. We'll take a look at the possibilities of intelligent processing of graphical information and even imitate an author's style expanding their work or restoring it. Using the methodology of probability automaton modeling, we will be able to build a model of a complex system in order to make predictions with the parameters of the system.

Chapter 8, Rock-Paper-Scissors – Intelligent Processing of the Datasets, tackles the creation of interactive forms to present research results. Also, Markov chains are considered with functions that help in finding the transition probability matrix. In the end, we will cover how to export results to a file for cross-platform presentations.

What you need for this book

To follow the examples in this book, you will need a copy of Wolfram Mathematica 10.1 or higher. If you wish to follow one of these examples and you do not have the right edition, you can download the trial version from the Wolfram website.

For some examples, you will need to use Windows 7 as your operating system but it is not necessary.

Who this book is for

The book is designed for those who want to learn how to use the power of Mathematica to analyze and process data. Perhaps you are already familiar with data analysis, but have never used Mathematica, or you know Mathematica, but you are new to data analysis. With the help of this book, you will be able to quickly catch the key points for a successful start. If you perform data analysis professionally and have your own algorithms written in any programming language, you will learn how to optimize computations by combining your libraries with the Mathematica kernel with the help of this book.

Conventions

In this book, you will find a number of styles of text that distinguish between different kinds of information. Here are some examples of these styles, and an explanation of their meaning.

Code words in text, database table names, folder names, filenames, file extensions, pathnames, dummy URLs, user input, and Twitter handles are shown as follows: "In order to import data into Mathematica, the Import function is used."

A block of code is set as follows:

int main(int argc, char *argv[]) {
  return WSMain(argc, argv);
}

Any command-line input or output is written as follows:

checkdate[x_] := 
If[DateObject[x] == DateObject["2015JAN"], True, False]

New terms and important words are shown in bold. Words that you see on the screen, in menus or dialog boxes for example, appear in the text like this: "To go to further instructions, let's click on the Continue button".

Note

Warnings or important notes appear in a box like this.

Tip

Tips and tricks appear like this.

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