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Hi! This is the third class of Data Mining
with Weka, and in this class,

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we're going to look at some simple machine
learning methods and how they work.

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We're going to start out emphasizing the message
that simple algorithms often work very well.

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In data mining, maybe in life in general,

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you should always try simple things before
you try more complicated things.

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There are many different kinds of simple structure.

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For example, it might that one attribute in
the dataset does all the work,

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everything depends on the value of one of
the attributes.

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Or, it might be that all of the attributes
contribute equally and independently.

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Or a simple structure might be a decision
tree that tests just a few of the attributes.

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We might calculate the distance from an unknown
sample to the nearest training sample,

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or a result my depend on a linear combination
of attributes.

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We're going to look at all of these simple
structures in the next few lessons.

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There's no universally best learning algorithm.

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The success of a machine learning method depends
on the domain.

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Data mining really is an experimental science.

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We're going to look at OneR rule learner,

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where one attribute does all the work.

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It's extremely simple, very trivial, actually,

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but we're going to start with simple things
and build up to more complex things.

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OneR learns what you might call a one-level
decision tree,

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or a set of rules that all test one particular
attribute.

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A tree that branches only at the root node
depending on the value of a particular attribute,

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or, equivalently, a set of rules that test
the value of that particular attribute.

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The basic version of OneR,

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there's one branch for each value of the attribute.

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We choose which attribute first,

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and we make one branch for each possible value
of the attribute.

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Each branch assigns the most frequent class
that comes down that branch.

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The error rate is the proportion of instances
that don't belong to the majority class of

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their corresponding branch.

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We choose the attribute with the smallest
error rate.

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Let's look at what this actually means.

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Here's the algorithm.

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For each attribute, we're going to make some
rules.

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For each value of the attribute,

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we're going to make a rule that counts how
often each class appears,

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finds the most frequent class,

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makes the rule assign that most frequent class
to this attribute value combination,

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and then we're going to calculate the error
rate of this attribute's rules.

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We're going to repeat that for each of the
attributes in the dataset,

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and choose the attribute with the smallest
error rate.

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Here's the weather data again.

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What OneR does, is it looks at each attribute
in turn,

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outlook, temperature, humidity, and wind,
and forms rules based on that.

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For outlook, there are three possible values:
sunny, overcast, and rainy.

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We just count out of the 5 sunny instances,

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2 of them are yeses and 3 of them are nos.

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We're going to choose a rule,

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if it's sunny choose no.

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We're going to get 2 errors out of 5.

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For overcast, all of the 4 overcast values
of outlook lead to yes values for the class play.

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So, we're going to choose the rule,

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if outlook is overcast, then yes, giving us
0 errors.

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Finally, for outlook is rainy,

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we're going to choose yes,

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as well, and that would also give us 2 errors
out of the 5 instances.

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We've got a total number of errors if we branch
on outlook of 4.

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We can branch on temperature and do the same
thing.

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When temperature is hot,

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there are 2 nos and 2 yeses.

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We just choose arbitrarily in the case of
a tie,

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so we'll choose if it's hot,

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let's predict no, getting 2 errors.

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If temperature is mild,

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we'll predict yes, getting 2/6 errors,

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and if the temperature is cool,

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we'll predict yes, getting 1 out of the 4
instances as an error.

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And the same for humidity and wind.

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We look at the total error values; we choose
the rule with the lowest total error value -- either

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outlook or humidity.

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That's a tie, so we'll just choose arbitrarily,

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and choose outlook.

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That's how OneR works,

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it's as simple as that.

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Let's just try it.

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Here's Weka.

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I'm going to open the
nominal weather data.

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I'm going to go to Classify.

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This is such a trivial dataset that the results
aren't very meaningful,

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but if I just run ZeroR to start off with,

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I get an error rate of 64%.

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If I now choose OneR,

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and run that.

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I get a rule, and the rule I get is branched
on outlook,

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if it's sunny then choose no,

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overcast choose yes, and rainy choose yes.

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We get 10 out of 14 instances correct on the
training set.

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We're evaluating this using cross-validation.

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Doesn't really make much sense on such a small
dataset.

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Interesting, though, that the [success] rate
we get,

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42% is pretty bad, worse than ZeroR.

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Actually, with any 2-class problem,

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you would expect to get a success rate of
at least 50%.

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Tossing a coin would give you 50%.

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This OneR scheme is not performing very well
on this trivial dataset.

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Notice that the rule it finally prints out
since we're using 10-fold cross-validation,

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it does the whole thing 10 times and then
on the 11th time calculates a rule from the

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entire dataset and that's what it prints out.

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That's where this rule comes from.

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OneR, one attribute does all the work.

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This is a very simple method of machine learning
described in 1993,

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20 years ago in a paper called "Very Simple
Classification Rules Perform Well on Most

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Commonly Used Datasets"

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by a guy called Rob Holte, who lives in Canada.

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He did an experimental evaluation of the OneR
method on 16 commonly used datasets.

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He used cross-validation just like we've told
you to evaluate these things,

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and he found that the simple rules from OneR
often outperformed far more complex methods

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that had been proposed for these datasets.

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How can such a simple method work so well?

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Some datasets really are simple,

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and others are so small, noisy, or complex

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that you can't learn anything from them.

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So, it's always worth trying the simplest
things first.

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Section 4.1 of the course text talks about
OneR.

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Now it's time for you to go and do the activity
associated with this lesson.

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Bye for now!

