# Pattern-Classification-2nd-CH2

**Repository Path**: TuLudong/Pattern-Classification-2nd-CH2

## Basic Information

- **Project Name**: Pattern-Classification-2nd-CH2
- **Description**: No description available
- **Primary Language**: Unknown
- **License**: Not specified
- **Default Branch**: master
- **Homepage**: None
- **GVP Project**: No

## Statistics

- **Stars**: 0
- **Forks**: 0
- **Created**: 2024-10-08
- **Last Updated**: 2024-10-08

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## README

# Pattern-Classification-2nd-CH2
### The repository contains the code of 《Pattern Classification》2nd Chapter2.
### Please refer to the blog (https://blog.csdn.net/lkj345/article/details/50480317) for more details.
	Bhattacharyya.m: Find the Bhattacharyya bound given means and covariances of single gaussian distributions.

	CH2.mat: CH2 data.

	CH2_1_a.m: Generate random vectors from the multivariate normal distribution.
	CH2_1_a_test.m: Generate two normal distributions and plot.
![CH2_1_a_test](https://github.com/chensonglu/Pattern-Classification-2nd-CH2/blob/master/CH2_1_a_test.png)

	CH2_1_b.m: Discriminant function of a normal distribution given prior probability.
	CH2_1_c.m: Calculate the Euclidean distance between two vectors.
	CH2_1_d.m: Calculate the Mahalanobis distance of a vector.

	CH2_2.m: Generate classification model of two classes, then calculate the classification error and the Bhattacharyya bound.
	CH2_2_test.m: Plot classification error and Bhattacharyya bound.
![CH2_2_test](https://github.com/chensonglu/Pattern-Classification-2nd-CH2/blob/master/CH2_2_test.png)

	CH2_3.m: Plot classification error and Bhattacharyya bound.
![CH2_3](https://github.com/chensonglu/Pattern-Classification-2nd-CH2/blob/master/CH2_3.png)

	CH2_4.m: Calculate the Mahalanobis distance with three classes, then classify the vectors.
	CH2_4_test.m: Test CH2_4.m with four vectors.

	CH2_5.m: The script is to prove that the average of a large number of independent random variables follows Gauss distribution.
![CH2_5](https://github.com/chensonglu/Pattern-Classification-2nd-CH2/blob/master/CH2_5.png)

	CH2_6.m: Calculate the classification error of two classes.
	CH2_6_test.m: Test CH2_6.m.
![CH2_6_test_1](https://github.com/chensonglu/Pattern-Classification-2nd-CH2/blob/master/CH2_6_test_1.png)
![CH2_6_test_2](https://github.com/chensonglu/Pattern-Classification-2nd-CH2/blob/master/CH2_6_test_2.png)

	CH2_7.m: Calculate the Bhattacharyya bound, estimated error and a series of classification error of two Gauss distribution.
	CH2_7_test.m: Test CH2_7.m.
![CH2_7_test_1](https://github.com/chensonglu/Pattern-Classification-2nd-CH2/blob/master/CH2_7_test_1.png)
![CH2_7_test_2](https://github.com/chensonglu/Pattern-Classification-2nd-CH2/blob/master/CH2_7_test_2.png)

	CH2_8_a.m: Test CH2_7.m with two Gauss distribution.
![CH2_8_a_1](https://github.com/chensonglu/Pattern-Classification-2nd-CH2/blob/master/CH2_8_a_1.png)
![CH2_8_a_2](https://github.com/chensonglu/Pattern-Classification-2nd-CH2/blob/master/CH2_8_a_2.png)

	CH2_8_b.m: Test CH2_7.m with two Gauss distribution.
![CH2_8_b_1](https://github.com/chensonglu/Pattern-Classification-2nd-CH2/blob/master/CH2_8_b_1.png)
![CH2_8_b_2](https://github.com/chensonglu/Pattern-Classification-2nd-CH2/blob/master/CH2_8_b_2.png)

	CH2_8_c.m: Test CH2_7.m with two Gauss distribution.
![CH2_8_c_1](https://github.com/chensonglu/Pattern-Classification-2nd-CH2/blob/master/CH2_8_c_1.png)
![CH2_8_c_2](https://github.com/chensonglu/Pattern-Classification-2nd-CH2/blob/master/CH2_8_c_2.png)

	Chernoff.m: Find the Chernoff bound given means and covariances of single gaussian distributions.