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Jalil Villalobos Alva - Beginning Mathematica and Wolfram for Data Science: Applications in Data Analysis, Machine Learning, and Neural Networks

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Jalil Villalobos Alva Beginning Mathematica and Wolfram for Data Science: Applications in Data Analysis, Machine Learning, and Neural Networks
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Enhance your data science programming and analysis with the Wolfram programming language and Mathematica, an applied mathematical tools suite. The book will introduce you to the Wolfram programming language and its syntax, as well as the structure of Mathematica and its advantages and disadvantages.

Youll see how to use the Wolfram language for data science from a theoretical and practical perspective. Learning this language makes your data science code better because it is very intuitive and comes with pre-existing functions that can provide a welcoming experience for those who use other programming languages.

Youll cover how to use Mathematica where data management and mathematical computations are needed. Along the way youll appreciate how Mathematica provides a complete integrated platform: it has a mixed syntax as a result of its symbolic and numerical calculations allowing it to carry out various processes without superfluous lines of code. Youll learn to use its notebooks as a standard format, which also serves to create detailed reports of the processes carried out.

What You Will Learn

  • Use Mathematica to explore data and describe the concepts using Wolfram language commands
  • Create datasets, work with data frames, and create tables
  • Import, export, analyze, and visualize data
  • Work with the Wolfram data repository
  • Build reports on the analysis
  • Use Mathematica for machine learning, with different algorithms, including linear, multiple, and logistic regression; decision trees; and data clustering

Who This Book Is For

Data scientists new to using Wolfram and Mathematica as a language/tool to program in. Programmers should have some prior programming experience, but can be new to the Wolfram language.

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Book cover of Beginning Mathematica and Wolfram for Data Science Jalil - photo 1
Book cover of Beginning Mathematica and Wolfram for Data Science
Jalil Villalobos Alva
Beginning Mathematica and Wolfram for Data Science
Applications in Data Analysis, Machine Learning, and Neural Networks
1st ed.
Logo of the publisher Jalil Villalobos Alva Mexico City Mexico Any source - photo 2
Logo of the publisher
Jalil Villalobos Alva
Mexico City, Mexico

Any source code or other supplementary material referenced by the author in this book is available to readers on GitHub via the books product page, located at www.apress.com/9781484265932 . For more detailed information, please visit http://www.apress.com/source-code .

ISBN 978-1-4842-6593-2 e-ISBN 978-1-4842-6594-9
https://doi.org/10.1007/978-1-4842-6594-9
Jalil Villalobos Alva 2021
This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed.
The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.
The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Distributed to the book trade worldwide by Apress Media, LLC, 1 New York Plaza, New York, NY 10004, U.S.A. Phone 1-800-SPRINGER, fax (201) 348-4505, e-mail orders-ny@springer-sbm.com, or visit www.springeronline.com. Apress Media, LLC is a California LLC and the sole member (owner) is Springer Science + Business Media Finance Inc (SSBM Finance Inc). SSBM Finance Inc is a Delaware corporation.

To my family that supported me on all aspects.

Introduction

Welcome to Beginning Mathematica and Wolfram for Data Science.

Why is data science important nowadays? Data science is an active topic that is evolving every day; new methods, new techniques, and new data is created every day. Data science is an interdisciplinary field that involves scientific methods, algorithms, and systematic procedures to extract data sets and thus have a better understanding of the data in its different structures. It is a continuation of some theoretical fields of data analysis such as statistics, data mining, machine learning, and pattern analysis. With a unique objective, data science extracts quantitative and qualitative information of value from the data that is being recollected from various sources, thus enabling one to objectively count an event, either for decision making, product development, pattern detection, or identification of new business areas.

Data Science Roadmap

Data science carries out a series of processes to solve a problem, including data acquisition, data processing, model construction, communication of results, and data monitoring or model improvement. The first step is to formalize an objective in the investigation. From the object of the investigation, we can proceed to the sources of the acquisition of our data. This step focuses on finding the right data sources. The product of this path is usually raw data, which must be processed before it can be handled. Data processing includes transforming the data from a raw form to a state in which it can be reproduced for the construction of a mathematical model. The construction of the model is a stage that is intended to obtain the information by making predictions in accordance with the conditions that were established in the early stages. Here the appropriate techniques and tools are used that are comprised of different disciplines. The objective is to obtain a model that provides the best results. The next step is to present the outcome of the study, which consists of reporting the results obtained and whether they are congruent with the established research objective. Finally, data monitoring has the intention to keep the data updated, because data can change constantly and in different ways.

Data Science Techniques
Data science includes analysis techniques from different disciplines such as mathematics, statistics, computer science, and numerical analysis, among others. Here are some disciplines and techniques used.
  • Statistics: linear, multiple regressions, least squares method, hypothesis testing, analysis of variance (ANOVA), cross-validation, resampling methods

  • Graph Theory: network analysis, social network analysis

  • Artificial intelligence

  • Machine learning

  • Supervised learning: natural language processing, decision trees, naive bayes, nearest neighbors, support vector machine

  • Unsupervised learning: cluster analysis, anomaly detection, K-means cluster

  • Deep learning: artificial neural networks, deep neural networks

  • Stochastic processes: Monte Carlo methods, Markov chains, time series analysis, nonlinear models

Many techniques exist, and this list only shows a part of them. Since research on data science, machine learning, and artificial neural networks are constantly increasing.

Prerequisites for the Book

This book is intended for readers who want to learn about Mathematica/Wolfram language and implement it on data science; focused on the basic principles of data science as well as programmers outside of software developmentthat is, people who write code for their academic and research projects, including students, researchers, teachers, and many others. The general audience is not expected to be familiar with Wolfram language or with the front-end program Mathematica, but little or any experience is welcome. Previous knowledge of the syntax would be an advantage to understand how the commands work in Mathematica. If this is not the case, the book provides the basic concepts of the Wolfram language syntax, the fundamental structure of expressions in the Wolfram language, and the basic handling and understanding of Mathematica notebooks.

Prior knowledge or some experience with programming, mathematical concepts such as trigonometric function, and basic statistics are useful; some understanding of mathematical modeling is also helpful but not compulsory.

Wolfram language is different from many other languages but very intuitive and easy to learn.

The book aims to teach the general structure of the Wolfram language, data structures, and objects, as well as rules for writing efficient code while also teaching data management techniques that allow readers to solve problems in a simple and effective way. We provide the reader with the basic tools of the Wolfram language, such as creating structured data, to support the construction of future practical projects.

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