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bagging's Introduction

Bagging

Bagging is the term from "Bootstrap Aggregation Algorithm", That is for Low Bias & Low Variance

Introduction

The statistical method known as Bootstrap Aggregating, or "bagging," is a type of ensemble techniques. ensemble learning techniques are commonly used to reduce variance within a noisy dataset. This approach is used to improve classification by combining classifications of randomly generated dataset.

History

Bootstrap Aggregating was proposed by Leo Breiman in 1994, who was statistician and had done many research on statistics. It was derived from the concept of bootstrapping which was developed by Bradley Efron

image

Algorithm

=>Input the Dataset D.

=>Let k be the number of bootstrap samples.

=>for i = 1 to k do

   =>Create a bootstrap sample of size n , ๐ท_๐‘– (n < D).

   =>Train the Base Classifier ๐ถ_๐‘– on the bootstrap sample ๐ท_๐‘–.

=>end for

=>๐ถ^โˆ—(x) = argmax ฮฃ_๐‘– ๐›ฟ(๐ถ_๐‘–(x = y)). ๏ฟฝ{๐›ฟ(.) = 1, if its argument is True and 0 otherwise}

Flowchart

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Mathematical Model!

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Program Results in term of graph

BY increasing NO of Trees image

Final Output after Bagging Procedures image

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