ML overview

Sources
• AAAI. Machine Learning.
http://www.aaai.org/Pathfinder/html/machine.html
• Dietterich, T. (2003). Machine Learning. Nature Encyclopedia of
Cognitive Science.
• Doyle, P. Machine Learning.
http://www.cs.dartmouth.edu/~brd/Teaching/AI/Lectures/Summaries/lear
ning.html
• Dyer, C. (2004). Machine Learning.
http://www.cs.wisc.edu/~dyer/cs540/notes/learning.html
• Mitchell, T. (1997). Machine Learning.
• Nilsson, N. (2004). Introduction to Machine Learning.
http://robotics.stanford.edu/people/nilsson/mlbook.html
• Russell, S. (1997). Machine Learning. Handbook of Perception and
Cognition, Vol. 14, Chap. 4.
• Russell, S. (2002). Artificial Intelligence: A Modern Approach, Chap. 18-
20. http://aima.cs.berkeley.edu

What is Learning?
• “Learning denotes changes in a system that ... enable
a system to do the same task … more efficiently the
next time.” - Herbert Simon
• “Learning is constructing or modifying representations
of what is being experienced.” - Ryszard Michalski
• “Learning is making useful changes in our minds.” -
Marvin Minsky
“Machine learning refers to a system capable of the
autonomous acquisition and integration of knowledge.”

Why Machine Learning?
• No human experts
• industrial/manufacturing control
• mass spectrometer analysis, drug design, astronomic
discovery
• Black-box human expertise
• face/handwriting/speech recognition
• driving a car, flying a plane
• Rapidly changing phenomena
• credit scoring, financial modeling
• diagnosis, fraud detection
• Need for customization/personalization
• personalized news reader
• movie/book recommendation

Related Fields
Machine learning is primarily concerned with the
accuracy and effectiveness of the computer system.
psychological models
data
mining
cognitive science
decision theory
information theory
databases
machine
learning
neuroscience
statistics
evolutionary
models
control theory

Machine Learning Paradigms
• rote learning
• learning by being told (advice-taking)
• learning from examples (induction)
• learning by analogy
• speed-up learning
• concept learning
• clustering
• discovery
• …

Architecture of a Learning System
learning
element
critic
problem
generator
performance
element
ENVIRONMENT
feedback
changes
learning goals
actions
percepts
performance standard
knowledge

Learning Element
Design affected by:
• performance element used
• e.g., utility-based agent, reactive agent, logical
agent
• functional component to be learned
• e.g., classifier, evaluation function, perception-
action function,
• representation of functional component
• e.g., weighted linear function, logical theory, HMM
• feedback available
• e.g., correct action, reward, relative preferences

Dimensions of Learning Systems
• type of feedback
• supervised (labeled examples)
• unsupervised (unlabeled examples)
• reinforcement (reward)
• representation
• attribute-based (feature vector)
• relational (first-order logic)
• use of knowledge
• empirical (knowledge-free)
• analytical (knowledge-guided)

Outline
• Supervised learning
• empirical learning (knowledge-free)
• attribute-value representation
• logical representation
• analytical learning (knowledge-guided)
• Reinforcement learning
• Unsupervised learning
• Performance evaluation
• Computational learning theory

Inductive (Supervised) Learning
Basic Problem: Induce a representation of a function (a
systematic relationship between inputs and outputs)
from examples.
• target function f: X → Y
• example (x,f(x))
• hypothesis g: X → Y such that g(x) = f(x)
x = set of attribute values (attribute-value representation)
x = set of logical sentences (first-order representation)
Y = set of discrete labels (classification)
Y =  (regression)

Decision Trees
Should I wait at this restaurant?

Decision Tree Induction
(Recursively) partition examples according to the most
important attribute.
Key Concepts
• entropy
• impurity of a set of examples (entropy = 0 if perfectly
homogeneous)
• (#bits needed to encode class of an arbitrary example)
• information gain
• expected reduction in entropy caused by partitioning

Decision Tree Induction: Attribute Selection
Intuitively: A good attribute splits the examples
into subsets that are (ideally) all positive or all
negative.

Decision Tree Induction: Decision Boundary

(Artificial) Neural Networks
• Motivation: human brain
• massively parallel (1011
neurons, ~20 types)
• small computational units
with simple low-bandwidth
communication (1014
synapses, 1-10ms cycle
time)
• Realization: neural network
• units ( neurons) connected
by directed weighted links
• activation function from
inputs to output

Neural Networks (continued)
• neural network = parameterized family of nonlinear functions
• types
• feed-forward (acyclic): single-layer perceptrons, multi-layer networks
• recurrent (cyclic): Hopfield networks, Boltzmann machines
[ connectionism, parallel distributed processing]

Neural Network Learning
Key Idea: Adjusting the weights changes the function
represented by the neural network (learning =
optimization in weight space).
Iteratively adjust weights to reduce error (difference
between network output and target output).
• Weight Update
• perceptron training rule
• linear programming
• delta rule
• backpropagation

Neural Network Learning: Decision Boundary
single-layer perceptron multi-layer network

Support Vector Machines
Kernel Trick: Map data to higher-dimensional
space where they will be linearly separable.
Learning a Classifier
• optimal linear separator is one that has the
largest margin between positive examples on
one side and negative examples on the other
• = quadratic programming optimization

Support Vector Machines (continued)
Key Concept: Training data enters optimization problem
in the form of dot products of pairs of points.
• support vectors
• weights associated with data points are zero except for those
points nearest the separator (i.e., the support vectors)
• kernel function K(xi,xj)
• function that can be applied to pairs of points to evaluate dot
products in the corresponding (higher-dimensional) feature
space F (without having to directly compute F(x) first)
efficient training and complex functions!

Support Vector Machines: Decision Boundary
Ф

Bayesian Networks
Network topology reflects
direct causal influence
Basic Task: Compute
probability distribution
for unknown variables
given observed values
of other variables.
[belief networks, causal networks]
A B A B A B A B
C 0.9 0.3 0.5 0.1
C 0.1 0.7 0.5 0.9
conditional probability table
for NeighbourCalls

Bayesian Network Learning
Key Concepts
• nodes (attributes) = random variables
• conditional independence
• an attribute is conditionally independent of its non-
descendants, given its parents
• conditional probability table
• conditional probability distribution of an attribute
given its parents
• Bayes Theorem
• P(h|D) = P(D|h)P(h) / P(D)

Bayesian Network Learning (continued)
Find most probable hypothesis given the data.
In theory: Use posterior probabilities to weight
hypotheses. (Bayes optimal classifier)
In practice: Use single, maximum a posteriori (most
probable) hypothesis.
Settings
• known structure, fully observable (parameter learning)
• unknown structure, fully observable (structural
learning)
• known structure, hidden variables (EM algorithm)
• unknown structure, hidden variables (?)

Nearest Neighbor Models
Key Idea: Properties of an input x are likely to be similar
to those of points in the neighborhood of x.
Basic Idea: Find (k) nearest neighbor(s) of x and infer
target attribute value(s) of x based on corresponding
attribute value(s).
Form of non-parametric learning where hypothesis
complexity grows with data (learned model  all
examples seen so far)
[instance-based learning, case-based reasoning, analogical reasoning]

Nearest Neighbor Model: Decision Boundary

Learning Logical Theories
Logical Formulation of Supervised Learning
• attribute → unary predicate
• instance x → logical sentence
• positive/negative classifications → sentences
Q(xi),Q(xi)
• training set → conjunction of all description and
classification sentences
Learning Task: Find an equivalent logical expression for
the goal predicate Q to classify examples correctly.
Hypothesis  Descriptions ╞═ Classifications

Learning Logic Theories: Example
Input
• Father(Philip,Charles), Father(Philip,Anne), …
• Mother(Mum,Margaret), Mother(Mum,Elizabeth), …
• Married(Diana,Charles), Married(Elizabeth,Philip), …
• Male(Philip),Female(Anne),…
• Grandparent(Mum,Charles),Grandparent(Elizabeth,Beatrice),
Grandparent(Mum,Harry),Grandparent(Spencer,Pete),…
Output
• Grandparent(x,y) 
[z Mother(x,z)  Mother(z,y)]  [z Mother(x,z)  Father(z,y)] 
[z Father(x,z)  Mother(z,y)]  [z Father(x,z)  Father(z,y)]

Learning Logic Theories
Key Concepts
• specialization
• triggered by false positives (goal: exclude negative examples)
• achieved by adding conditions, dropping disjuncts
• generalization
• triggered by false negatives (goal: include positive examples)
• achieved by dropping conditions, adding disjuncts
Learning
• current-best-hypothesis: incrementally improve single
hypothesis (e.g., sequential covering)
• least-commitment search: maintain all hypotheses
consistent with examples seen so far (e.g., version
space)

Learning Logic Theories: Decision Boundary

Analytical Learning
Prior Knowledge in Learning
Recall:
Grandparent(x,y) 
[z Mother(x,z)  Mother)]  [z Mother(x,z)  Father(z,y)] 
[z Father(x,z)  Mother(z,y)]  [z Father(x,z)  Father(z,y)]
• Suppose initial theory also included:
• Parent(x,y)  [Mother(x,y)  Father(x,y)]
• Final Hypothesis:
• Grandparent(x,y)  [z Parent(x,z)  Parent(z,y)]
Background knowledge can dramatically reduce the size of
the hypothesis (greatly simplifying the learning problem).

Explanation-Based Learning
Amazed crowd of cavemen observe Zog roasting a
lizard on the end of a pointed stick (“Look what Zog
do!”) and thereafter abandon roasting with their
bare hands.
Basic Idea: Generalize by explaining observed instance.
• form of speedup learning
• doesn’t learn anything factually new from the observation
• instead converts first-principles theories into useful special-
purpose knowledge
• utility problem
• cost of determining if learned knowledge is applicable may
outweight benefits from its application

Relevance-Based Learning
Mary travels to Brazil and meets her first Brazilian
(Fernando), who speaks Portuguese. She concludes
that all Brazilians speak Portuguese but not that all
Brazilians are named Fernando.
Basic Idea: Use knowledge of what is relevant to infer
new properties about a new instance.
• form of deductive learning
• learns a new general rule that explains observations
• does not create knowledge outside logical content of prior
knowledge and observations

Knowledge-Based Inductive Learning
Medical student observes consulting session
between doctor and patient at the end of which the
doctor prescribes a particular medication. Student
concludes that the medication is effective
treatment for a particular type of infection.
Basic Idea: Use prior knowledge to guide hypothesis
generation.
• benefits in inductive logic programming
• only hypotheses consistent with prior knowledge and
observations are considered
• prior knowledge supports smaller (simpler) hypotheses

Reinforcement Learning
k-armed bandit problem:
Agent is in a room with k gambling machines (one-armed bandits).
When an arm is pulled, the machine pays off 1 or 0, according to
some unknown probability distribution. Given a fixed number of pulls,
what is the agent’s (optimal) strategy?
Basic Task: Find a policy , mapping states to actions, that
maximizes (long-term) reward.
Model (Markov Decision Process)
• set of states S
• set of actions A
• reward function R : S  A → 
• state transition function T : S  A → (S)
• T(s,a,s') = probability of reaching s' when a is executed in s

Reinforcement Learning (continued)
• Settings
• fully vs. partially observable environment
• deterministic vs. stochastic environment
• model-based vs. model-free
• rewards in goal state only or in any state
value of a state: expected infinite discounted sum of reward the
agent will gain if it starts from that state and executes the optimal
policy
Solving MDP when the model is known
• value iteration: find optimal value function (derive optimal policy)
• policy iteration: find optimal policy directly (derive value function)

Reinforcement Learning (continued)
Reinforcement learning is concerned with finding an
optimal policy for an MDP when the model (transition,
reward) is unknown.
exploration/exploitation tradeoff
model-free reinforcement learning
• learn a controller without learning a model first
• e.g., adaptive heuristic critic (TD()), Q-learning
model-based reinforcement learning
• learn a model first
• e.g., Dyna, prioritized sweeping, RTDP

Unsupervised Learning
Learn patterns from (unlabeled) data.
Approaches
• clustering (similarity-based)
• density estimation (e.g., EM algorithm)
Performance Tasks
• understanding and visualization
• anomaly detection
• information retrieval
• data compression

Performance Evaluation
• Randomly split examples into training set U
and test set V.
• Use training set to learn a hypothesis H.
• Measure % of V correctly classified by H.
• Repeat for different random splits and average
results.

Performance Evaluation: Learning Curves
#training examples
classification accuracy
classification error

Performance Evaluation: ROC Curves
false positives
falsenegatives

Performance Evaluation: Accuracy/Coverage
coverage
classificationaccuracy

Triple Tradeoff in Empirical Learning
• size/complexity of
learned classifier
• amount of training data
• generalization accuracy
bias-variance tradeoff

Computational Learning Theory
probably approximately correct (PAC) learning
With probability  1 - , error will be  .
Basic principle: Any hypothesis that is seriously wrong
will almost certainly be found out with high probability
after a small number of examples.
Key Concepts
• examples drawn from same distribution (stationarity
assumption)
• sample complexity is a function of confidence, error,
and size of hypothesis space
|)|ln
1
(ln
1
Hm 


Current Machine Learning Research
• Representation
• data sequences
• spatial/temporal data
• probabilistic relational models
• …
• Approaches
• ensemble methods
• cost-sensitive learning
• active learning
• semi-supervised learning
• collective classification
• …

ML overview

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