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Numerical Computing with Python

You're reading from   Numerical Computing with Python Harness the power of Python to analyze and find hidden patterns in the data

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Product type Course
Published in Dec 2018
Publisher Packt
ISBN-13 9781789953633
Length 682 pages
Edition 1st Edition
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Authors (5):
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Pratap Dangeti Pratap Dangeti
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Pratap Dangeti
Theodore Petrou Theodore Petrou
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Theodore Petrou
Allen Yu Allen Yu
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Allen Yu
Aldrin Yim Aldrin Yim
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Aldrin Yim
Claire Chung Claire Chung
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Claire Chung
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Table of Contents (21) Chapters Close

Title Page
Contributors
About Packt
Preface
1. Journey from Statistics to Machine Learning FREE CHAPTER 2. Tree-Based Machine Learning Models 3. K-Nearest Neighbors and Naive Bayes 4. Unsupervised Learning 5. Reinforcement Learning 6. Hello Plotting World! 7. Visualizing Online Data 8. Visualizing Multivariate Data 9. Adding Interactivity and Animating Plots 10. Selecting Subsets of Data 11. Boolean Indexing 12. Index Alignment 13. Grouping for Aggregation, Filtration, and Transformation 14. Restructuring Data into a Tidy Form 15. Combining Pandas Objects 1. Other Books You May Enjoy 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...

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