Computational Statistics and Statistical Computing
Popularity Contest
Getting started with Jupyter and Python
Python Functions
Numbers
Basic Graphics with
matplotlib
Working with Text
Data
SQL
Bonus Material: The Humble For Loop
Bonus Material: Word count
Symbolic Algebra with
sympy
Machine Learning with
sklearn
Scalars
Vectors
Matrices
Sparse Matrices
Working with Matrices
Solving Linear Equations
Understanding the SVD
Linear least squares
Finding Roots of Equations
Numerical Optimization
Algorithms for Optimization and Root Finding for Multivariate Problems
Using optimization routines from
scipy
and
statsmodels
Line search in gradient and Newton directions
Least squares optimization
Gradient Descent Optimizations
Constrained Optimization
Random Variables
Resampling and Monte Carlo Simulations
Markov Chains
Numerical Evaluation of Integrals
Abbreviated lecture notes
Probabilistic Programming
Using PyMC3
Metropolis and Gibbs Sampling
Hamiltonian Monte Carlo (HMC)
Introduction to C++
Just-in-time compilation (JIT)
Cython
Using
pybind11
Native code compilation
Parallel Programming
Multi-Core Parallelism
Parallel Programming Example
Using
ipyparallel
Introduction to Scalable Data Analytics
Scalable data storage and structures
Introduction to Spark
Architecture of a Spark Application
SparkContext
Resilient Distributed Datasets (RDD)
Actions and transforms
Working with key-value pairs
Persisting data
Spark DataFrames
Spark MLLib
Using Spark Efficiently
Spark magic
Using TensorFlow
Regression in TensorFlow
Using
keras
CNN for MNIST digits
Sequential and Functional Interfaces
Lab00: Simple Python exercises
Lab02: Functions
Lab03: Intermediate Python Programs
Lab04: Data manipulation
Lab05: Numerics
Lab06: Topic Modeling with Latent Semantic Analysis
Lab07: Optimization
Lab08: Conjugate Gradient Descent
Lab09: C++
Lab10: Making Python faster
Lab11A: Parallel Processing
Lab11B: Spark
LabX1: Supplementary Practice Problems
Lab X2: Supplementary Practice Problems
Mock Exam
STA 663 Midterm Exams
Computational Statistics and Statistical Computing
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Index
Index