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Programming Collective Intelligence

Cover of Programming Collective Intelligence by Toby Segaran Published by O'Reilly Media, Inc.
  1. Programming Collective Intelligence
    1. SPECIAL OFFER: Upgrade this ebook with O’Reilly
    2. A Note Regarding Supplemental Files
    3. Praise for Programming Collective Intelligence
    4. Preface
      1. Prerequisites
      2. Style of Examples
      3. Why Python?
      4. Open APIs
      5. Overview of the Chapters
      6. Conventions
      7. Using Code Examples
      8. How to Contact Us
      9. Safari® Books Online
      10. Acknowledgments
    5. 1. Introduction to Collective Intelligence
      1. What Is Collective Intelligence?
      2. What Is Machine Learning?
      3. Limits of Machine Learning
      4. Real-Life Examples
      5. Other Uses for Learning Algorithms
    6. 2. Making Recommendations
      1. Collaborative Filtering
      2. Collecting Preferences
      3. Finding Similar Users
      4. Recommending Items
      5. Matching Products
      6. Building a del.icio.us Link Recommender
      7. Item-Based Filtering
      8. Using the MovieLens Dataset
      9. User-Based or Item-Based Filtering?
      10. Exercises
    7. 3. Discovering Groups
      1. Supervised versus Unsupervised Learning
      2. Word Vectors
      3. Hierarchical Clustering
      4. Drawing the Dendrogram
      5. Column Clustering
      6. K-Means Clustering
      7. Clusters of Preferences
      8. Viewing Data in Two Dimensions
      9. Other Things to Cluster
      10. Exercises
    8. 4. Searching and Ranking
      1. What's in a Search Engine?
      2. A Simple Crawler
      3. Building the Index
      4. Querying
      5. Content-Based Ranking
      6. Using Inbound Links
      7. Learning from Clicks
      8. Exercises
    9. 5. Optimization
      1. Group Travel
      2. Representing Solutions
      3. The Cost Function
      4. Random Searching
      5. Hill Climbing
      6. Simulated Annealing
      7. Genetic Algorithms
      8. Real Flight Searches
      9. Optimizing for Preferences
      10. Network Visualization
      11. Other Possibilities
      12. Exercises
    10. 6. Document Filtering
      1. Filtering Spam
      2. Documents and Words
      3. Training the Classifier
      4. Calculating Probabilities
      5. A Naïve Classifier
      6. The Fisher Method
      7. Persisting the Trained Classifiers
      8. Filtering Blog Feeds
      9. Improving Feature Detection
      10. Using Akismet
      11. Alternative Methods
      12. Exercises
    11. 7. Modeling with Decision Trees
      1. Predicting Signups
      2. Introducing Decision Trees
      3. Training the Tree
      4. Choosing the Best Split
      5. Recursive Tree Building
      6. Displaying the Tree
      7. Classifying New Observations
      8. Pruning the Tree
      9. Dealing with Missing Data
      10. Dealing with Numerical Outcomes
      11. Modeling Home Prices
      12. Modeling "Hotness"
      13. When to Use Decision Trees
      14. Exercises
    12. 8. Building Price Models
      1. Building a Sample Dataset
      2. k-Nearest Neighbors
      3. Weighted Neighbors
      4. Cross-Validation
      5. Heterogeneous Variables
      6. Optimizing the Scale
      7. Uneven Distributions
      8. Using Real Data—the eBay API
      9. When to Use k-Nearest Neighbors
      10. Exercises
    13. 9. Advanced Classification: Kernel Methods and SVMs
      1. Matchmaker Dataset
      2. Difficulties with the Data
      3. Basic Linear Classification
      4. Categorical Features
      5. Scaling the Data
      6. Understanding Kernel Methods
      7. Support-Vector Machines
      8. Using LIBSVM
      9. Matching on Facebook
      10. Exercises
    14. 10. Finding Independent Features
      1. A Corpus of News
      2. Previous Approaches
      3. Non-Negative Matrix Factorization
      4. Displaying the Results
      5. Using Stock Market Data
      6. Exercises
    15. 11. EVOLVING INTELLIGENCE
      1. What Is Genetic Programming?
      2. Programs As Trees
      3. Creating the Initial Population
      4. Testing a Solution
      5. Mutating Programs
      6. Crossover
      7. Building the Environment
      8. A Simple Game
      9. Further Possibilities
      10. Exercises
    16. 12. Algorithm Summary
      1. Bayesian Classifier
      2. Decision Tree Classifier
      3. Neural Networks
      4. Support-Vector Machines
      5. k-Nearest Neighbors
      6. Clustering
      7. Multidimensional Scaling
      8. Non-Negative Matrix Factorization
      9. Optimization
    17. A. Third-Party Libraries
      1. Universal Feed Parser
      2. Python Imaging Library
      3. Beautiful Soup
      4. pysqlite
      5. NumPy
      6. matplotlib
      7. pydelicious
    18. B. Mathematical Formulas
      1. Euclidean Distance
      2. Pearson Correlation Coefficient
      3. Weighted Mean
      4. Tanimoto Coefficient
      5. Conditional Probability
      6. Gini Impurity
      7. Entropy
      8. Variance
      9. Gaussian Function
      10. Dot-Products
    19. Index
    20. About the Author
    21. Colophon
    22. SPECIAL OFFER: Upgrade this ebook with O’Reilly
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Understanding Kernel Methods

Consider what would happen if you tried to use the linear classifier on a dataset similar to the one in Figure 9-7.

A class encircling another class

Figure 9-7. A class encircling another class

Where would the average points be for each class? They would both be in exactly the same place! Even though it's clear to you and me that anything inside the circle is an X and everything outside the circle is an O, the linear classifier is unable to distinguish these two classes.

But consider what happens if you square every x and y value first. A point that was at (−1,2) would now be at (1,4), a point that was at (0.5,1) would now be at (0.25,1), and so on. The new plot would look like Figure 9-8.

Moving the points into a different space

Figure 9-8. Moving the points into a different space

All the Xs have moved into the corner and all the Os are outside that corner. It's now very easy to divide the Xs and Os with a straight line, and any time a new piece of data has to be classified, you can just square its x and y values and see on which side of the line it falls.

This example shows that by transforming the points first, it's possible to create a new dataset that can be divided with a straight line. However, this example was chosen precisely because it can be transformed very easily; in real problems, the transformation will likely be a lot ...

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