- Introduction to Python
- Getting started with Python and the IPython notebook
- Functions are first class objects
- Data science is OSEMN
- Working with text
- Preprocessing text data
- Working with structured data
- Using SQLite3
- Using HDF5
- Using numpy
- Using Pandas
- Computational problems in statistics
- Computer numbers and mathematics
- Algorithmic complexity
- Linear Algebra and Linear Systems
- Linear Algebra and Matrix Decompositions
- Change of Basis
- Optimization and Non-linear Methods
- Practical Optimizatio Routines
- Finding roots
- Optimization Primer
- Using scipy.optimize
- Gradient deescent
- Newton’s method and variants
- Constrained optimization
- Curve fitting
- Finding paraemeters for ODE models
- Optimization of graph node placement
- Optimization of standard statistical models
- Fitting ODEs with the Levenberg–Marquardt algorithm
- 1D example
- 2D example
- Algorithms for Optimization and Root Finding for Multivariate Problems
- Expectation Maximizatio (EM) Algorithm
- Monte Carlo Methods
- Resampling methods
- Resampling
- Simulations
- Setting the random seed
- Sampling with and without replacement
- Calculation of Cook’s distance
- Permutation resampling
- Design of simulation experiments
- Example: Simulations to estimate power
- Check with R
- Estimating the CDF
- Estimating the PDF
- Kernel density estimation
- Multivariate kerndel density estimation
- Markov Chain Monte Carlo (MCMC)
- Using PyMC2
- Using PyMC3
- Using PyStan
- C Crash Course
- Code Optimization
- Using C code in Python
- Using functions from various compiled languages in Python
- Julia and Python
- Converting Python Code to C for speed
- Optimization bake-off
- Writing Parallel Code
- Massively parallel programming with GPUs
- Writing CUDA in C
- Distributed computing for Big Data
- Hadoop MapReduce on AWS EMR with mrjob
- Spark on a local mahcine using 4 nodes
- Modules and Packaging
- Tour of the Jupyter (IPython3) notebook
- Polyglot programming
- What you should know and learn more about
- Wrapping R libraries with Rpy
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Code Optimization
There is a traditional sequence for writing code, and it goes like this:
- Make it run
- Make it right (testing)
- Make it fast (optimization)
Making it fast is the last step, and you should only optimize when it is necessary. Also, it is good to know when a program is “fast enough” for your needs. Optimization has a price:
- Cost in programmer time
- Optimized code is often more complex
- Optimized code is oftne less generic
However, having fast code is often necessary for statistical computing, so we will spend some time learning how to make code run faster. To do so, we need to understand why our code is slow: Code can be slow because of differnet resource limitations:
- CPU-bound - CPU is working flat out
- Memory-bound - Out of RAM - swapping to hard disk
- IO-bound - Lots of data transfer to and from hard disk
- Network-bound - CPU is waiting for data to come over network or from memory (“starvation”)
Different bottlenekcs may require different appraoches. However, theere is a natural order to making code fast
- Cheat
- Use a better machine (e.g. if RAM is limititg is - buy more RAM)
- Solve a simpler problem (e.g. will a subsample of the data suffice?)
- Solve a diffrent problem (perhaps solving a toy problem will suffice for your JASA paper? If your method is so useful, maybe someone else will optimize it for you)
- Find out what is slowing down the code (profiling)
- Using
timeit
- Using
time
- Usign
cProfile
- Using
line_profiler
- Using
memory_profiler
- Using
- Use better algorithms and data structures
- Using compiled code written in another language
- Calling code written in C/C++
- Using
bitey
- Using
ctypes
- Using
cython
- Using
- Calling code written in Fotran
- Using
f2py
- Using
- Calling code written in Julia
- Usign
pyjulia
- Usign
- Calling code written in C/C++
- Converting Python code to compiled code
- Using
numexpr
- Using
numba
- Using
cython
- Using
- Parallel programs
- Ahmdahl and Gustafsson’s laws
- Embarassinlgy parallel problems
- Problems requiring communiccation and syncrhonization
- Race conditions
- Deadlock
- Task granularity
- Parallel programming idioms
- Execute in parallel
- On multi-core machines
- On multiple machines
- Using IPython
- Using MPI4py
- Using Hadoop/SPARK
- On GPUs
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