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Statistics for Machine Learning

You're reading from   Statistics for Machine Learning Techniques for exploring supervised, unsupervised, and reinforcement learning models with Python and R

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Product type Paperback
Published in Jul 2017
Publisher Packt
ISBN-13 9781788295758
Length 442 pages
Edition 1st Edition
Languages
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Author (1):
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Pratap Dangeti Pratap Dangeti
Author Profile Icon Pratap Dangeti
Pratap Dangeti
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Table of Contents (10) Chapters Close

Preface 1. Journey from Statistics to Machine Learning 2. Parallelism of Statistics and Machine Learning FREE CHAPTER 3. Logistic Regression Versus Random Forest 4. Tree-Based Machine Learning Models 5. K-Nearest Neighbors and Naive Bayes 6. Support Vector Machines and Neural Networks 7. Recommendation Engines 8. Unsupervised Learning 9. Reinforcement Learning

Bagging classifier


As we have discussed already, decision trees suffer from high variance, which means if we split the training data into two random parts separately and fit two decision trees for each sample, the rules obtained would be very different. Whereas low variance and high bias models, such as linear or logistic regression, will produce similar results across both samples. Bagging refers to bootstrap aggregation (repeated sampling with replacement and perform aggregation of results to be precise), which is a general purpose methodology to reduce the variance of models. In this case, they are decision trees.

Aggregation reduces the variance, for example, when we have n independent observations x1, x2 ,..., xn each with variance σ2 and the variance of the mean x̅ of the observations is given by σ2/n, which illustrates by averaging a set of observations that it reduces variance. Here, we are reducing variance by taking many samples from training data (also known as bootstrapping),...

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