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Machine Learning

LW/OB presentation
Machine learning ( ML ) is a field concerned with
studying and developing algorithms that perform
     better at a task as they gain experience


        ( but mostly I wanted to use this cool picture )
WARNING
  This presentation is seriously lacking slides,
    preparation and cool running examples.
That being said. I know what I’m talking about ;)
What ML is really
about…
What ML is really
about…
• ML is about data, and
modeling its distribution
What ML is really
about…
• ML is about data, and
modeling its distribution
• ML is about a tradeoff
between model accuracy
and predictive power
What ML is really
about…
• ML is about data, and
modeling its distribution
• ML is about a tradeoff
between model accuracy
and predictive power
• ML is about finding
simple yet expressive
classes of distributions
What ML is really
about…
• ML is about data, and
modeling its distribution
• ML is about a tradeoff
between model accuracy
and predictive power
• ML is about finding
simple yet expressive
classes of distributions
• ML is about using
approximate numerical
methods to perform
Bayesian update on the
training data
ML = intersection of
Data sizes vary…
Data sizes vary…




From a couple kilobytes
Data sizes vary




From a couple kilobytes    To petabytes
Type of problems solved
•   Supervised
•   Unsupervised
•   Reinforcement learning
•   ( transduction )
Type of problems solved
• Supervised
  – Classification
  – Regression
• Unsupervised
• Reinforcement learning
• ( transduction )
Type of problems solved
• Supervised
• Unsupervised
  - Clustering
  - Discovering causal links
• Reinforcement learning
• ( transduction )
Type of problems solved
• Supervised
• Unsupervised
• Reinforcement learning
  – Learn to perform a task, only from final result
• ( transduction )
  – Not discussed, improve supervised learning
    with unsupervised samples
Typical applications
•   Image, speech, pattern recognition
•   Collaborative filtering
•   Time series forecasting
•   Game playing
•   Denoising
•   Any task where experience is valuable
Common ML techniques
Common ML
   techniques
• Linear
regression
Common ML
   techniques
• Linear
regression
• Factor models
Common ML
   techniques
• Linear
regression
• Factor models
• Decision trees
Common ML
   techniques
• Linear
regression
• Factor models
• Decision trees
• Neural networks
Common ML
    techniques
• Linear
regression
• Factor models
• Decision trees
• Neural networks



perceptron, multilayer perceptron with backpropagation,
hebbian autoassociative memory, Boltzmann machine,
spiking neurons…
Common ML
   techniques
• Linear
regression
• Factor models
• Decision trees
• Neural networks
• SVM’s
Common ML
   techniques
• Linear
regression
• Factor models
• Decision trees
• Neural networks
• SVM’s
• Bayesian
networks, white
box models…
Meta-Methods
Meta-Methods
– Ensemble forecasting
Meta-Methods
– Ensemble forecasting
– Bootstrapping, Bagging, model averaging
Meta-Methods
– Ensemble forecasting
– Bootstrapping, Bagging, model averaging
– Boosting
Meta-Methods
– Ensemble forecasting
– Bootstrapping, Bagging, model averaging
– Boosting

– Inductive bias through
Meta-Methods
– Ensemble forecasting
– Bootstrapping, Bagging, model averaging
– Boosting

– Inductive bias through
  • Out of sample testing
Meta-Methods
– Ensemble forecasting
– Bootstrapping, Bagging, model averaging
– Boosting

– Inductive bias through
  • Out of sample testing
  • Minimum description length
Neural networks demystified
Neural networks
demystified
• Perceptron ( 1957 )
Neural networks
demystified
• Perceptron ( 1957 )




                        THIS IS…
Neural networks
demystified
• Perceptron ( 1957 )


                        THIS IS…
                         LINEAR
                        ALGEBRA!
Neural networks
demystified
• Perceptron
• Linear separability
Neural networks
demystified
• Perceptron
• Linear separability




8 binary inputs =>
1/2212classifications linearly
separable
Neural networks
demystified
• Perceptron ( 1957 )
• Linear separability
• Multilayered
perceptron +
backpropagation
Neural networks
demystified
• Perceptron ( 1957 )
• Linear separability
• Multilayered
perceptron +
backpropagation
( 1969 ~ 1986 )
Neural networks
demystified
• Perceptron ( 1957 )
• Linear separability
• Multilayered
perceptron +
backpropagation
• Smooth Interpolation
Many more types…
SVM in a nutshell
SVM in a nutshell
• Maximize margin
SVM in a nutshell
• Maximize margin
• Embed in a high dimensional space
Ensemble learning
• Combine predictions through voting ( with
  classifiers ) or regression to improve
  prediction
Ensemble learning
• Combine predictions through voting ( with
  classifiers ) or regression to improve
  prediction
• Train on random ( with replacement )
  subsets of the data ( bootstrapping )
Ensemble learning
• Combine predictions through voting ( with
  classifiers ) or regression to improve
  prediction
• Train on random ( with replacement )
  subsets of the data ( bootstrapping )
• Or weight the data according to the quality
  of prediction, and train new weak classifiers
  accordingly ( boosting )
Numerical tricks
Numerical tricks
• Optimization of fit with standard
  operational search techniques
Numerical tricks
• Optimization of fit with standard
  operational search techniques
• EM algorithm
Numerical tricks
• Optimization of fit with standard
  operational search techniques
• EM algorithm
• MCMC methods ( Gibbs sampling,
  metropolis algorithm… )
A fundamental Bayesian model,
   the Hidden Markov Model
A fundamental Bayesian model,
     the Hidden Markov Model
• Hidden states produce observed states
A fundamental Bayesian model,
     the Hidden Markov Model
• Hidden states produce observed states
• Billions of application
  – Finance
  – Speech recognition
  – Swype
  – Kinect
  – Open heart surgery
  – Airplane navigation
Questions I was asked
• How does Boosting work ?
• What is the No Free Lunch Theorem ?
• Writing style recognition
• Signature recognition
• Rule extraction
• Moving odds in response to informed
  gamblers
• BellKor-Pragmatic Chaos and the Netflix
  prize
Writing style recognition
Writing style recognition
• Naïve Bayes ( similar to spam filtering, bag
  of words approach )
Writing style recognition
• Naïve Bayes ( similar to spam filtering, bag
  of words approach )
• Clustering of HMM model parameters
Writing style recognition
• Naïve Bayes ( similar to spam filtering, bag
  of words approach )
• Clustering of HMM model parameters
• Simple statistics on text corpus ( sentence
  length distribution, word length
  distribution, density of punctuation )
Writing style recognition
• Naïve Bayes ( similar to spam filtering, bag
  of words approach )
• Clustering of HMM model parameters
• Simple statistics on text corpus ( sentence
  length distribution, word length
  distribution, density of punctuation )
• Combine with a logistic regression
Signature recognition
Signature recognition
• Depends if raster or vector
Signature recognition
• Depends if raster or vector
• Post office uses neural networks, but corpus
  is gigantic
Signature recognition
• Depends if raster or vector
• Post office uses neural networks, but corpus
  is gigantic
• Dimensionality reduction is key
Signature recognition
• Wavelet on raster image for feature
  extraction
Signature recognition
• Depends if raster or vector
• Post office uses neural networks, but corpus
  is gigantic
• Dimensionality reduction is key
• Wavelet on raster image for feature
  extraction
• Path following then learning on path
  features ( total variation, average curvature
  etc )
Rules extraction
• Hard, hypothesis space not smooth
• Decision tree regression
• Genetic Programming ( Koza )
Netflix prize
Netflix prize
• The base (cinematch) = latent semantic
  model
• The defining characteristic of winners,
  ensemble prediction with neural networks
  to combine predictors
• Best team were mergers of good teams
Latent semantic model
• There is a set of K “features”. Each movie has
  a score in each feature, each user has a
  weight for each feature.
• Features are latent, we only assume the
  value of K.
• Equivalent to representing the rating matrix
  as a product of a score and preference
  matrix. SVD minimizes RMSE
Poker is hard…
Poker is hard…
• Gigantic, yet not continuous state space
• Dimensionality reduction isn’t easy
• High variance
• Possible to make parametric strategies and
  optimize with ML
• Inputs such as pot odds trivial to compute
Uhuh, slides end here
Sort of… Questions ?

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