Book Image

Numerical Computing with Python

By : Pratap Dangeti, Allen Yu, Claire Chung, Aldrin Yim, Theodore Petrou
Book Image

Numerical Computing with Python

By: Pratap Dangeti, Allen Yu, Claire Chung, Aldrin Yim, Theodore Petrou

Overview of this book

Data mining, or parsing the data to extract useful insights, is a niche skill that can transform your career as a data scientist Python is a flexible programming language that is equipped with a strong suite of libraries and toolkits, and gives you the perfect platform to sift through your data and mine the insights you seek. This Learning Path is designed to familiarize you with the Python libraries and the underlying statistics that you need to get comfortable with data mining. You will learn how to use Pandas, Python's popular library to analyze different kinds of data, and leverage the power of Matplotlib to generate appealing and impressive visualizations for the insights you have derived. You will also explore different machine learning techniques and statistics that enable you to build powerful predictive models. By the end of this Learning Path, you will have the perfect foundation to take your data mining skills to the next level and set yourself on the path to become a sought-after data science professional. This Learning Path includes content from the following Packt products: • Statistics for Machine Learning by Pratap Dangeti • Matplotlib 2.x By Example by Allen Yu, Claire Chung, Aldrin Yim • Pandas Cookbook by Theodore Petrou
Table of Contents (21 chapters)
Title Page
Contributors
About Packt
Preface
Index

Remedial actions to push the model towards the ideal region


Models with either high bias or high variance error components do not produce the ideal fit. Hence, some makeovers are required to do so. In the following diagram, the various methods applied are shown in detail. In the case of linear regression, there would be a high bias component, meaning the model is not flexible enough to fit some non-linearities in data. One turnaround is to break the single line into small linear pieces and fit them into the region by constraining them at knots, also called Linear Spline. Whereas decision trees have a high variance problem, meaning even a slight change in X values leads to large changes in its corresponding Y values, this issue can be resolved by performing an ensemble of the decision trees:

In practice, implementing splines would be a difficult and not so popular method, due to the involvement of the many equations a practitioner has to keep tabs on, in addition to checking the linearity...