Concept Learning - University of Minnesota Duluth
Concept Learning
? Learning from examples ? General-to-specific ordering over hypotheses ? Version Spaces and candidate elimination
algorithm ? Picking new examples ? The need for inductive bias
CS 5751 Machine
Chapter 2 Concept Learning
1
Learning
Some Examples for SmileyFaces
Eyes Nose Head Fcolor Hair? Smile?
CS 5751 Machine
Chapter 2 Concept Learning
2
Learning
Features from Computer View
Eyes Nose Head Fcolor Round Triangle Round Purple Square Square Square Green Square Triangle Round Yellow Round Triangle Round Green Square Square Round Yellow
Hair? Yes Yes Yes No Yes
Smile? Yes No Yes No Yes
CS 5751 Machine
Chapter 2 Concept Learning
3
Learning
Representing Hypotheses
Many possible representations for hypotheses h
Idea: h as conjunctions of constraints on features
Each constraint can be:
? a specific value (e.g., Nose = Square)
? don't care (e.g., Eyes = ?)
? no value allowed (e.g., Water=?)
For example,
Eyes Nose Head Fcolor Hair?
?
CS 5751 Machine
Chapter 2 Concept Learning
4
Learning
Prototypical Concept Learning Task
Given:
? Instances X: Faces, each described by the attributes Eyes, Nose, Head, Fcolor, and Hair?
? Target function c: Smile? : X -> { no, yes }
? Hypotheses H: Conjunctions of literals such as
? Training examples D: Positive and negative examples of the target function < x1, c(x1) >, < x2 , c(x2 ) >,..., < xm , c(xm ) >
Determine: a hypothesis h in H such that h(x)=c(x) for all x in D.
CS 5751 Machine
Chapter 2 Concept Learning
5
Learning
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