Book Image

Data Science Using Python and R

By : Chantal D. Larose, Daniel T. Larose
Book Image

Data Science Using Python and R

By: Chantal D. Larose, Daniel T. Larose

Overview of this book

Data science is hot. Bloomberg named a data scientist as the ‘hottest job in America’. Python and R are the top two open-source data science tools using which you can produce hands-on solutions to real-world business problems, using state-of-the-art techniques. Each chapter in the book presents step-by-step instructions and walkthroughs for solving data science problems using Python and R. You’ll learn how to prepare data, perform exploratory data analysis, and prepare to model the data. As you progress, you’ll explore what are decision trees and how to use them. You’ll also learn about model evaluation, misclassification costs, naïve Bayes classification, and neural networks. The later chapters provide comprehensive information about clustering, regression modeling, dimension reduction, and association rules mining. The book also throws light on exciting new topics, such as random forests and general linear models. The book emphasizes data-driven error costs to enhance profitability, which avoids the common pitfalls that may cost a company millions of dollars. By the end of this book, you’ll have enough knowledge and confidence to start providing solutions to data science problems using R and Python.
Table of Contents (20 chapters)
Free Chapter
1
ABOUT THE AUTHORS
17
INDEX
18
END USER LICENSE AGREEMENT

9.3 CONNECTION WEIGHTS AND THE COMBINATION FUNCTION

The nodes in the hidden layer and the output layer collect the inputs from the previous layer and combine them using a combination function. This combination function (usually summation, Σ) produces a linear combination of the node inputs and the connection weights into a single scalar value, which we will term net. Thus, for a given node j,

equationnetj=iWijxij=W0jx0j+W1jx1j++WIjxIj--

where xij represents the ith input to node j, Wij represents the weight associated with the ith input to node j, and there are I + 1 inputs to node j. Note that x1, x2, …, xI represent inputs from upstream nodes, while x0 represents a constant input, analogous to the constant factor in regression models, which by convention uniquely takes the value x0j = 1. Thus, each hidden layer or output layer node j contains an “extra” input equal to a particular weight W0j x0j = W0j, such as W0B for node B.

We...