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Description: My Notes on Machine Learning. Contribute to MachineLearningOrg/notes-machine-learning development by creating an account on GitHub.

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lijinwithyou@gmail.com

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1. 简介https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-01-Introduction
1.1. 例子:多项式拟合https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-01-Introduction/01-01-Example-Polynomial-Curve-Fitting.ipynb
1.2. 概率论https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-01-Introduction/01-02-Probability-Theory.ipynb
1.2.1. 概率密度函数https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-01-Introduction/01-02-Probability-Theory.ipynb#1.2.1-%E6%A6%82%E7%8E%87%E5%AF%86%E5%BA%A6%E5%87%BD%E6%95%B0
1.2.2. 期望和方差https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-01-Introduction/01-02-Probability-Theory.ipynb#1.2.2-%E6%9C%9F%E6%9C%9B%E5%92%8C%E6%96%B9%E5%B7%AE
1.2.3. Bayes 概率https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-01-Introduction/01-02-Probability-Theory.ipynb#1.2.3-Bayes-%E6%A6%82%E7%8E%87
1.2.4. 高斯分布https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-01-Introduction/01-02-Probability-Theory.ipynb#1.2.4-%E9%AB%98%E6%96%AF%E5%88%86%E5%B8%83
1.2.5. 重新理解曲线拟合https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-01-Introduction/01-02-Probability-Theory.ipynb#1.2.5-%E9%87%8D%E6%96%B0%E7%90%86%E8%A7%A3%E6%9B%B2%E7%BA%BF%E6%8B%9F%E5%90%88
1.2.6. Bayes 曲线拟合https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-01-Introduction/01-02-Probability-Theory.ipynb#1.2.6-Bayes-%E6%9B%B2%E7%BA%BF%E6%8B%9F%E5%90%88
1.3. 模型选择https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-01-Introduction/01-03-Model-Selection.ipynb
1.4. 维数灾难https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-01-Introduction/01-04-The-Curse-of-Dimensionality.ipynb
1.5. 决策理论https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-01-Introduction/01-05-Decision-Theory.ipynb
1.5.1. 最小错误率决策https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-01-Introduction/01-05-Decision-Theory.ipynb#1.5.1-%E6%9C%80%E5%B0%8F%E9%94%99%E8%AF%AF%E7%8E%87%E5%86%B3%E7%AD%96
1.5.2. 最小风险决策https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-01-Introduction/01-05-Decision-Theory.ipynb#1.5.2-%E6%9C%80%E5%B0%8F%E9%A3%8E%E9%99%A9%E5%86%B3%E7%AD%96
1.5.3. 拒绝选项https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-01-Introduction/01-05-Decision-Theory.ipynb#1.5.3-%E6%8B%92%E7%BB%9D%E9%80%89%E9%A1%B9
1.5.4. 推断和决策https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-01-Introduction/01-05-Decision-Theory.ipynb#1.5.4-%E6%8E%A8%E6%96%AD%E5%92%8C%E5%86%B3%E7%AD%96
1.5.5. 回归问题的损失函数https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-01-Introduction/01-05-Decision-Theory.ipynb#1.5.5-%E5%9B%9E%E5%BD%92%E9%97%AE%E9%A2%98%E7%9A%84%E6%8D%9F%E5%A4%B1%E5%87%BD%E6%95%B0
附录 D 变分法https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Appendix/Appendix-D-Calculus-of-Variations.ipynb
1.6. 信息论https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-01-Introduction/01-06-Information-Theory.ipynb
1.6.1. 相对熵和互信息https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-01-Introduction/01-06-Information-Theory.ipynb#1.6.1-%E7%9B%B8%E5%AF%B9%E7%86%B5%E5%92%8C%E4%BA%92%E4%BF%A1%E6%81%AF
附录 E Lagrange 乘子https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Appendix/Appendix-E-Lagrange-Multipliers.ipynb
2. 概率分布https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-02-Probability-Distributions
2.1. 二元变量https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/PRML/Chap-02-Probability-Distributions/02-01-Binary-Variables.ipynb
2.1.1. Beta 分布https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-02-Probability-Distributions/02-01-Binary-Variables.ipynb#2.1.1-Beta-%E5%88%86%E5%B8%83
2.2. 多元变量https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-02-Probability-Distributions/02-02-Multinomial-Variables.ipynb
2.2.1. 狄利克雷分布https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-02-Probability-Distributions/02-02-Multinomial-Variables.ipynb#2.2.1-%E7%8B%84%E5%88%A9%E5%85%8B%E9%9B%B7%E5%88%86%E5%B8%83
2.3. 高斯分布https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-02-Probability-Distributions/02-03-The-Gaussian-Distribution.ipynb
2.3.1. 条件高斯分布https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-02-Probability-Distributions/02-03-The-Gaussian-Distribution.ipynb#2.3.1-%E6%9D%A1%E4%BB%B6%E9%AB%98%E6%96%AF%E5%88%86%E5%B8%83
2.3.2. 边缘高斯分布https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-02-Probability-Distributions/02-03-The-Gaussian-Distribution.ipynb#2.3.2-%E8%BE%B9%E7%BC%98%E9%AB%98%E6%96%AF%E5%88%86%E5%B8%83
2.3.3. 高斯变量的贝叶斯理论https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-02-Probability-Distributions/02-03-The-Gaussian-Distribution.ipynb#2.3.3-%E9%AB%98%E6%96%AF%E5%8F%98%E9%87%8F%E7%9A%84%E8%B4%9D%E5%8F%B6%E6%96%AF%E7%90%86%E8%AE%BA
2.3.4. 高斯分布最大似然https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-02-Probability-Distributions/02-03-The-Gaussian-Distribution.ipynb#2.3.4-%E9%AB%98%E6%96%AF%E5%88%86%E5%B8%83%E6%9C%80%E5%A4%A7%E4%BC%BC%E7%84%B6
2.3.5. 序列估计https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-02-Probability-Distributions/02-03-The-Gaussian-Distribution.ipynb#2.3.5-%E5%BA%8F%E5%88%97%E4%BC%B0%E8%AE%A1
2.3.6. 高斯分布的贝叶斯估计https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-02-Probability-Distributions/02-03-The-Gaussian-Distribution.ipynb#2.3.6-%E9%AB%98%E6%96%AF%E5%88%86%E5%B8%83%E7%9A%84%E8%B4%9D%E5%8F%B6%E6%96%AF%E4%BC%B0%E8%AE%A1
2.3.7. 学生 t 分布https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-02-Probability-Distributions/02-03-The-Gaussian-Distribution.ipynb#2.3.7-%E5%AD%A6%E7%94%9F-t-%E5%88%86%E5%B8%83
2.3.8. 周期变量和 von Mises 分布https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-02-Probability-Distributions/02-03-The-Gaussian-Distribution.ipynb#2.3.8-%E5%91%A8%E6%9C%9F%E5%8F%98%E9%87%8F%E5%92%8C-von-Mises-%E5%88%86%E5%B8%83
2.3.9. 高斯混合模型https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-02-Probability-Distributions/02-03-The-Gaussian-Distribution.ipynb#2.3.9-%E9%AB%98%E6%96%AF%E6%B7%B7%E5%90%88%E6%A8%A1%E5%9E%8B
2.4. 指数族分布https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-02-Probability-Distributions/02-04-The-Exponential-Family.ipynb
2.4.1. 最大似然和充分统计量https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-02-Probability-Distributions/02-04-The-Exponential-Family.ipynb#2.4.1-%E6%9C%80%E5%A4%A7%E4%BC%BC%E7%84%B6%E5%92%8C%E5%85%85%E5%88%86%E7%BB%9F%E8%AE%A1%E9%87%8F
2.4.2. 共轭先验https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-02-Probability-Distributions/02-04-The-Exponential-Family.ipynb#2.4.2-%E5%85%B1%E8%BD%AD%E5%85%88%E9%AA%8C
2.4.3. 无信息先验https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-02-Probability-Distributions/02-04-The-Exponential-Family.ipynb#2.4.3-%E6%97%A0%E4%BF%A1%E6%81%AF%E5%85%88%E9%AA%8C
2.5.1. 核密度估计量https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-02-Probability-Distributions/02-05-Nonparametric-Methods.ipynb#2.5.1-%E6%A0%B8%E5%AF%86%E5%BA%A6%E4%BC%B0%E8%AE%A1%E9%87%8F
2.5.2. 近邻方法https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-02-Probability-Distributions/02-05-Nonparametric-Methods.ipynb#2.5.2-%E8%BF%91%E9%82%BB%E6%96%B9%E6%B3%95
3. 线性回归模型https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-03-Linear-Models-for-Regression
3.1. 线性基函数回归模型https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-03-Linear-Models-for-Regression/03-01-Linear-Basis-Function-Models.ipynb
3.1.1. 最大似然和最小二乘https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-03-Linear-Models-for-Regression/03-01-Linear-Basis-Function-Models.ipynb#3.1.1-%E6%9C%80%E5%A4%A7%E4%BC%BC%E7%84%B6%E5%92%8C%E6%9C%80%E5%B0%8F%E4%BA%8C%E4%B9%98
3.1.2. 最小二乘的几何表示https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-03-Linear-Models-for-Regression/03-01-Linear-Basis-Function-Models.ipynb#3.1.2-%E6%9C%80%E5%B0%8F%E4%BA%8C%E4%B9%98%E7%9A%84%E5%87%A0%E4%BD%95%E8%A1%A8%E7%A4%BA
3.1.3. 序贯学习https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-03-Linear-Models-for-Regression/03-01-Linear-Basis-Function-Models.ipynb#3.1.3-%E5%BA%8F%E8%B4%AF%E5%AD%A6%E4%B9%A0
3.1.4. 带正则的最小二乘https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-03-Linear-Models-for-Regression/03-01-Linear-Basis-Function-Models.ipynb#3.1.4-%E5%B8%A6%E6%AD%A3%E5%88%99%E7%9A%84%E6%9C%80%E5%B0%8F%E4%BA%8C%E4%B9%98
3.1.5. 多维输出https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-03-Linear-Models-for-Regression/03-01-Linear-Basis-Function-Models.ipynb#3.1.5-%E5%A4%9A%E7%BB%B4%E8%BE%93%E5%87%BA
3.2 Bias-Variance 分解https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-03-Linear-Models-for-Regression/03-02-The-Bias-Variance-Decomposition.ipynb
3.3 Bayes 线性回归https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-03-Linear-Models-for-Regression/03-03-Bayesian-Linear-Regression.ipynb
3.3.1. 参数的分布https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-03-Linear-Models-for-Regression/03-03-Bayesian-Linear-Regression.ipynb#3.3.1-%E5%8F%82%E6%95%B0%E7%9A%84%E5%88%86%E5%B8%83
3.3.2. 预测值的分布https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-03-Linear-Models-for-Regression/03-03-Bayesian-Linear-Regression.ipynb#3.3.2-%E9%A2%84%E6%B5%8B%E5%80%BC%E7%9A%84%E5%88%86%E5%B8%83
3.3.3. 等价核https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-03-Linear-Models-for-Regression/03-03-Bayesian-Linear-Regression.ipynb#3.3.3-%E7%AD%89%E4%BB%B7%E6%A0%B8
3.4 贝叶斯模型的比较https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-03-Linear-Models-for-Regression/03-04-Bayesian-Model-Comparison.ipynb
4. 线性分类模型https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-04-Linear-Models-for-Classification
4.1 判别函数https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Pattern-Recognition-and-Machine-Learning/Chap-04-Linear-Models-for-Classification/04-01-Discriminant-Functions.ipynb
https://github.com/MachineLearningOrg/notes-machine-learning#第二部分-dp-笔记
I 数学和机器学习基础https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Deep-Learning/Part-I
2. 线性代数https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Deep-Learning/Part-I/Chap-02-Linear-Algebra
2.1 标量,向量,矩阵和张量https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Deep-Learning/Part-I/Chap-02-Linear-Algebra/02-01-Scalars-Vectors-Matrices-and-Tensors.ipynb
2.2 矩阵乘法https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Deep-Learning/Part-I/Chap-02-Linear-Algebra/02-02-Multiplying-Matrices-and-Vectors.ipynb
2.2 单位矩阵和逆https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Deep-Learning/Part-I/Chap-02-Linear-Algebra/02-03-Identity-and-Inverse-Matrices.ipynb
2.4 线性无关和生成空间https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Deep-Learning/Part-I/Chap-02-Linear-Algebra/02-04-Linear-Dependence-and-Span.ipynb
2.5 范数https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Deep-Learning/Part-I/Chap-02-Linear-Algebra/02-05-Norms.ipynb
2.6 特殊矩阵和向量https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Deep-Learning/Part-I/Chap-02-Linear-Algebra/02-06-Special-Kinds-of-Matrices-and-Vectors.ipynb
2.7 特征值分解https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Deep-Learning/Part-I/Chap-02-Linear-Algebra/02-07-Eigendecomposition.ipynb
2.8 奇异值分解https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Deep-Learning/Part-I/Chap-02-Linear-Algebra/02-08-Singular-Value-Decomposition.ipynb
2.9 Moore-Penrose 伪逆https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Deep-Learning/Part-I/Chap-02-Linear-Algebra/02-09-The-Moore-Penrose-Pseudoinverse.ipynb
2.10 矩阵的迹https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Deep-Learning/Part-I/Chap-02-Linear-Algebra/02-10-The-Trace-Operator.ipynb
2.11 行列式https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Deep-Learning/Part-I/Chap-02-Linear-Algebra/02-11-The-Determinant.ipynb
2.12 例子:主成分分析https://github.com/MachineLearningOrg/notes-machine-learning/blob/master/Deep-Learning/Part-I/Chap-02-Linear-Algebra/02-12-Example-Principal-Components-Analysis.ipynb
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