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Index
Preface
Who Is This Book For? Why SciPy?
What Is the SciPy Ecosystem?
The Great Cataclysm: Python 2 Versus Python 3 SciPy Ecosystem and Community
Free and Open Source Software (FOSS)
Open source, open science Open source licenses
GitHub: Taking Coding Social Make Your Mark on the SciPy Ecosystem A Touch of Whimsy with Your Py
Getting Help Installing Python
Accessing the Book Materials
Diving In Conventions Used in This Book Use of Color Using Code Examples O’Reilly Safari How to Contact Us Acknowledgments
1. Elegant NumPy: The Foundation of Scientific Python
Introduction to the Data: What Is Gene Expression? NumPy N-Dimensional Arrays
Why Use ndarrays Instead of Python Lists? Vectorization Broadcasting
Exploring a Gene Expression Dataset
Reading in the Data with pandas
Normalization
Between Samples
Normalizing library size between samples
Between Genes Normalizing Over Samples and Genes: RPKM
Broadcasting rules RPKM between gene normalization
Taking Stock
2. Quantile Normalization with NumPy and SciPy
Getting the Data Gene Expression Distribution Differences Between Individuals Biclustering the Counts Data Visualizing Clusters Predicting Survival
Further Work: Using the TCGA’s Patient Clusters Further Work: Reproducing the TCGA’s clusters
3. Networks of Image Regions with ndimage
Images Are Just NumPy Arrays
Exercise: Adding a Grid Overlay
Filters in Signal Processing Filtering Images (2D Filters) Generic Filters: Arbitrary Functions of Neighborhood Values
Exercise: Conway’s Game of Life Exercise: Sobel Gradient Magnitude
Graphs and the NetworkX library
Exercise: Curve Fitting with SciPy
Region Adjacency Graphs Elegant ndimage: How to Build Graphs from Image Regions Putting It All Together: Mean Color Segmentation
4. Frequency and the Fast Fourier Transform
Introducing Frequency Illustration: A Birdsong Spectrogram History Implementation Choosing the Length of the DFT More DFT Concepts
Frequencies and Their Ordering Windowing
Real-World Application: Analyzing Radar Data
Signal Properties in the Frequency Domain Windowing, Applied Radar Images
3D visualization
Further Applications of the FFT Further Reading Exercise: Image Convolution
5. Contingency Tables Using Sparse Coordinate Matrices
Contingency Tables
Exercise: Computational Complexity of Confusion Matrices Exercise: Alternative Algorithm to Compute the Confusion Matrix Exercise: Multiclass Confusion Matrix
scipy.sparse Data Formats
COO Format Exercise: COO Representation Compressed Sparse Row Format
Applications of Sparse Matrices: Image Transformations
Exercise: Image Rotation
Back to Contingency Tables
Exercise: Reducing the Memory Footprint
Contingency Tables in Segmentation Information Theory in Brief
Exercise: Computing Conditional Entropy
Information Theory in Segmentation: Variation of Information Converting NumPy Array Code to Use Sparse Matrices Using Variation of Information
Further Work: Segmentation in Practice
6. Linear Algebra in SciPy
Linear Algebra Basics Laplacian Matrix of a Graph
Exercise: Rotation Matrix
Laplacians with Brain Data
Exercise: Showing the Affinity View Exercise Challenge: Linear Algebra with Sparse Matrices
PageRank: Linear Algebra for Reputation and Importance
Exercise: Dealing with Dangling Nodes Exercise: Equivalence of Different Eigenvector Methods
Concluding Remarks
7. Function Optimization in SciPy
Optimization in SciPy: scipy.optimize
An Example: Computing Optimal Image Shift
Image Registration with Optimize Avoiding Local Minima with Basin Hopping
Exercise: Modify the align Function
“What Is Best?”: Choosing the Right Objective Function
8. Big Data in Little Laptop with Toolz
Streaming with yield Introducing the Toolz Streaming Library k-mer Counting and Error Correction Currying: The Spice of Streaming Back to Counting k-mers
Exercise: PCA of Streaming Data
Markov Model from a Full Genome
Exercise: Online Unzip
Epilogue
Where to Next?
Mailing Lists GitHub Conferences
Beyond SciPy Contributing to This Book Until Next Time...
A. Exercise Solutions
Solution: Adding a Grid Overlay Solution: Conway’s Game of Life Solution: Sobel Gradient Magnitude Solution: Curve Fitting with SciPy Solution: Image Convolution Solution: Computational Complexity of Confusion Matrices Solution: Alternative Confusion Matrix Computing Solution: Computing the Confusion Matrix Solution: COO Representation Solution: Image Rotation Solution: Reducing the Memory Footprint Solution: Computing Conditional Entropy Solution: Rotation Matrix Solution: Showing the Affinity View Challenge Accepted: Linear Algebra with Sparse Matrices Solution: Dealing with Dangling Nodes Solution: Verify Methods Solution: Modify the align Function Solution: scikit-learn Library Solution: Add a Step to the Start of the Pipe
Index
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