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Introduction
Part 1 Getting Started with Scientific Python
Installation and Setup
Numpy
Matplotlib
Ipython
Jupyter Notebook
Scipy
Pandas
Sympy
Interfacing with Compiled Libraries
Integrated Development Environments
Quick Guide to Performance and Parallel Programming
Other Resources
Part 2 Probability
Introduction
Projection Methods
Conditional Expectation as Projection
Conditional Expectation and Mean Squared Error
Worked Examples of Conditional Expectation and Mean Square Error Optimization
Useful Distributions
Information Entropy
Moment Generating Functions
Monte Carlo Sampling Methods
Useful Inequalities
Part 3 Statistics
Python Modules for Statistics
Types of Convergence
Estimation Using Maximum Likelihood
Hypothesis Testing and P-Values
Confidence Intervals
Linear Regression
Maximum A-Posteriori
Robust Statistics
Bootstrapping
Gauss Markov
Nonparametric Methods
Survival Analysis
Part 4 Machine Learning
Introduction
Python Machine Learning Modules
Theory of Learning
Decision Trees
Boosting Trees
Logistic Regression
Generalized Linear Models
Regularization
Support Vector Machines
Dimensionality Reduction
Clustering
Ensemble Methods
Deep Learning
Notation
References
Index.

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