From 631528e3343baa6bb939b257eaee8a11d0306dd2 Mon Sep 17 00:00:00 2001 From: Divyanshi Singh Date: Wed, 19 Jun 2024 16:05:27 +0530 Subject: [PATCH] Merge remote-tracking branch 'origin/main' --- .../Naive_Bayes_Classifiers.md | 8 +++++--- contrib/machine-learning/img.png | Bin 3493 -> 26489 bytes contrib/machine-learning/img_1.png | Bin 8357 -> 0 bytes contrib/machine-learning/img_2.png | Bin 18625 -> 0 bytes contrib/machine-learning/img_3.png | Bin 6629 -> 0 bytes contrib/machine-learning/img_4.png | Bin 3818 -> 0 bytes 6 files changed, 5 insertions(+), 3 deletions(-) delete mode 100644 contrib/machine-learning/img_1.png delete mode 100644 contrib/machine-learning/img_2.png delete mode 100644 contrib/machine-learning/img_3.png delete mode 100644 contrib/machine-learning/img_4.png diff --git a/contrib/machine-learning/Naive_Bayes_Classifiers.md b/contrib/machine-learning/Naive_Bayes_Classifiers.md index 1be9f3d..ee9d0ec 100644 --- a/contrib/machine-learning/Naive_Bayes_Classifiers.md +++ b/contrib/machine-learning/Naive_Bayes_Classifiers.md @@ -75,7 +75,9 @@ P(Spam|Keywords) > P(Not Spam|Keywords), we classify the new email as "Spam". #### 1. Gaussian Naive Bayes In Gaussian Naive Bayes, continuous values associated with each feature are assumed to be distributed according to a Gaussian distribution. A Gaussian distribution is also called Normal distribution When plotted, it gives a bell shaped curve which is symmetric about the mean of the feature values as shown below: -![img_2.png](img_2.png) +###### Normal Distribution: +![img.png](img.png) + * Assumption: Each feature follows a Gaussian distribution. * Formula: The likelihood of the features given the class is computed using the Gaussian (normal) distribution formula: @@ -86,7 +88,6 @@ $$ where 𝜇𝐶 and 𝜎𝐶 are the mean and standard deviation of the feature 𝑥𝑖 for class C. - * Python implementation of Gaussian Naive Bayes classifier using scikit-learn: ```python from sklearn.datasets import load_iris @@ -117,7 +118,8 @@ Typically used for discrete features, especially for text (or document) classifi * Assumption: Features represent the number of times events (e.g., words) occur. * Formula: The likelihood of the features given the class is computed using the multinomial distribution formula: -![img_3.png](img_3.png) +$$ P(C_k | x) 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