Statistical Methods and Applied Mathematics in Data Science [Video]
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Statistical Data Analysis
 The Course Overview
 Exploring a Dataset with pandas and Matplotlib
 Estimating the Correlation Between two Variables
 Fitting a Probability Distribution to Data with the Maximum Likelihood Method
 Estimating a Probability Distribution Nonparametrically
 Analyzing Data with the R Programming Language

Machine Learning
 Getting Started with scikitlearn
 Learning to Recognize Handwritten Digits
 Using Support Vector Machines for Classification Tasks
 Using a Random Forest to Select Important Features for Regression
 Detecting Hidden Structures in a Dataset with Clustering

Numerical Optimization
 Finding the Root of a Mathematical Function
 Minimizing a Mathematical Function
 Fitting a Function to Data with Nonlinear Least Squares
 Finding the Equilibrium State of a Physical System

Signal Processing
 Analyzing the Frequency Components of a Signal
 Applying a Linear Filter to a Digital Signal
 Computing the Autocorrelation of a Time Series

Image and Audio Processing
 Manipulating the Exposure of an Image
 Applying Filters on an Image
 Segmenting an Image
 Finding Points of Interest in an Image
 Applying Digital Filters to Speech Sounds
 Creating a Sound Synthesizer in the Notebook

Deterministic Dynamical Systems
 Plotting the Bifurcation Diagram of a Chaotic Dynamical System
 Simulating an Elementary Cellular Automaton
 Simulating an Ordinary Differential Equation with SciPy
 Simulating a Partial Differential Equation — ReactionDiffusion Systems and Turing Patterns

Stochastic Dynamical Systems
 Simulating a Discretetime Markov Chain
 Simulating a Poisson Process
 Simulating a Brownian Motion
 Simulating a Stochastic Differential Equation

Graphs, Geometry, and Geographic Information Systems
 Manipulating and Visualizing Graphs with NetworkX
 Drawing Flight Routes with NetworkX
 Resolving Dependencies in a Directed Acyclic Graph
 Computing Connected Components in an Image
 Manipulating Geospatial Data with Cartopy