mirror of
https://github.com/dkam/decisiontree.git
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328 lines
11 KiB
Ruby
Executable File
328 lines
11 KiB
Ruby
Executable File
# The MIT License
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#
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### Copyright (c) 2007 Ilya Grigorik <ilya AT igvita DOT com>
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### Modifed at 2007 by José Ignacio Fernández <joseignacio.fernandez AT gmail DOT com>
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class Object
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def save_to_file(filename)
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File.open(filename, 'w+' ) { |f| f << Marshal.dump(self) }
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end
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def self.load_from_file(filename)
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Marshal.load( File.read( filename ) )
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end
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end
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class Array
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def classification; collect { |v| v.last }; end
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# calculate information entropy
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def entropy
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return 0 if empty?
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info = {}
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total = 0
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each {|i| info[i] = !info[i] ? 1 : (info[i] + 1); total += 1}
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result = 0
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info.each do |symbol, count|
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result += -count.to_f/total*Math.log(count.to_f/total)/Math.log(2.0) if (count > 0)
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end
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result
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end
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end
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module DecisionTree
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Node = Struct.new(:attribute, :threshold, :gain)
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class ID3Tree
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def initialize(attributes, data, default, type)
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@used, @tree, @type = {}, {}, type
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@data, @attributes, @default = data, attributes, default
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end
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def train(data=@data, attributes=@attributes, default=@default)
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attributes = attributes.map {|e| e.to_s}
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initialize(attributes, data, default, @type)
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# Remove samples with same attributes leaving most common classification
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data2 = data.inject({}) {|hash, d| hash[d.slice(0..-2)] ||= Hash.new(0); hash[d.slice(0..-2)][d.last] += 1; hash }.map{|key,val| key + [val.sort_by{ |k, v| v }.last.first]}
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@tree = id3_train(data2, attributes, default)
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end
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def type(attribute)
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@type.is_a?(Hash) ? @type[attribute.to_sym] : @type
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end
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def fitness_for(attribute)
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case type(attribute)
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when :discrete; fitness = proc{|a,b,c| id3_discrete(a,b,c)}
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when :continuous; fitness = proc{|a,b,c| id3_continuous(a,b,c)}
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end
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end
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def id3_train(data, attributes, default, used={})
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return default if data.empty?
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# return classification if all examples have the same classification
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return data.first.last if data.classification.uniq.size == 1
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# Choose best attribute:
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# 1. enumerate all attributes
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# 2. Pick best attribute
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# 3. If attributes all score the same, then pick a random one to avoid infinite recursion.
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performance = attributes.collect { |attribute| fitness_for(attribute).call(data, attributes, attribute) }
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max = performance.max { |a,b| a[0] <=> b[0] }
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min = performance.min { |a,b| a[0] <=> b[0] }
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max = performance.shuffle.first if max[0] == min[0]
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best = Node.new(attributes[performance.index(max)], max[1], max[0])
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best.threshold = nil if @type == :discrete
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@used.has_key?(best.attribute) ? @used[best.attribute] += [best.threshold] : @used[best.attribute] = [best.threshold]
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tree, l = {best => {}}, ['>=', '<']
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fitness = fitness_for(best.attribute)
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case type(best.attribute)
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when :continuous
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data.partition { |d| d[attributes.index(best.attribute)] >= best.threshold }.each_with_index { |examples, i|
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tree[best][String.new(l[i])] = id3_train(examples, attributes, (data.classification.mode rescue 0), &fitness)
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}
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when :discrete
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values = data.collect { |d| d[attributes.index(best.attribute)] }.uniq.sort
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partitions = values.collect { |val| data.select { |d| d[attributes.index(best.attribute)] == val } }
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partitions.each_with_index { |examples, i|
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tree[best][values[i]] = id3_train(examples, attributes-[values[i]], (data.classification.mode rescue 0), &fitness)
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}
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end
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tree
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end
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# ID3 for binary classification of continuous variables (e.g. healthy / sick based on temperature thresholds)
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def id3_continuous(data, attributes, attribute)
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values, thresholds = data.collect { |d| d[attributes.index(attribute)] }.uniq.sort, []
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return [-1, -1] if values.size == 1
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values.each_index { |i| thresholds.push((values[i]+(values[i+1].nil? ? values[i] : values[i+1])).to_f / 2) }
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thresholds.pop
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#thresholds -= used[attribute] if used.has_key? attribute
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gain = thresholds.collect { |threshold|
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sp = data.partition { |d| d[attributes.index(attribute)] >= threshold }
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pos = (sp[0].size).to_f / data.size
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neg = (sp[1].size).to_f / data.size
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[data.classification.entropy - pos*sp[0].classification.entropy - neg*sp[1].classification.entropy, threshold]
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}.max { |a,b| a[0] <=> b[0] }
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return [-1, -1] if gain.size == 0
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gain
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end
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# ID3 for discrete label cases
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def id3_discrete(data, attributes, attribute)
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values = data.collect { |d| d[attributes.index(attribute)] }.uniq.sort
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partitions = values.collect { |val| data.select { |d| d[attributes.index(attribute)] == val } }
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remainder = partitions.collect {|p| (p.size.to_f / data.size) * p.classification.entropy}.inject(0) {|i,s| s+=i }
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[data.classification.entropy - remainder, attributes.index(attribute)]
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end
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def predict(test)
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descend(@tree, test)
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end
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def graph(filename, file_type = "png")
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require 'graphr'
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dgp = DotGraphPrinter.new(build_tree)
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dgp.write_to_file("#{filename}.#{file_type}", file_type)
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end
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def ruleset
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rs = Ruleset.new(@attributes, @data, @default, @type)
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rs.rules = build_rules
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rs
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end
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def build_rules(tree=@tree)
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attr = tree.to_a.first
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cases = attr[1].to_a
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rules = []
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cases.each do |c,child|
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if child.is_a?(Hash) then
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build_rules(child).each do |r|
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r2 = r.clone
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r2.premises.unshift([attr.first, c])
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rules << r2
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end
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else
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rules << Rule.new(@attributes, [[attr.first, c]], child)
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end
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end
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rules
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end
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private
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def descend(tree, test)
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attr = tree.to_a.first
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return @default if !attr
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if type(attr.first.attribute) == :continuous
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return attr[1]['>='] if !attr[1]['>='].is_a?(Hash) and test[@attributes.index(attr.first.attribute)] >= attr.first.threshold
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return attr[1]['<'] if !attr[1]['<'].is_a?(Hash) and test[@attributes.index(attr.first.attribute)] < attr.first.threshold
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return descend(attr[1]['>='],test) if test[@attributes.index(attr.first.attribute)] >= attr.first.threshold
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return descend(attr[1]['<'],test) if test[@attributes.index(attr.first.attribute)] < attr.first.threshold
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else
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return attr[1][test[@attributes.index(attr[0].attribute)]] if !attr[1][test[@attributes.index(attr[0].attribute)]].is_a?(Hash)
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return descend(attr[1][test[@attributes.index(attr[0].attribute)]],test)
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end
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end
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def build_tree(tree = @tree)
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return [] unless tree.is_a?(Hash)
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return [["Always", @default]] if tree.empty?
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attr = tree.to_a.first
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links = attr[1].keys.collect do |key|
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parent_text = "#{attr[0].attribute}\n(#{attr[0].object_id})"
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if attr[1][key].is_a?(Hash) then
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child = attr[1][key].to_a.first[0]
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child_text = "#{child.attribute}\n(#{child.object_id})"
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else
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child = attr[1][key]
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child_text = "#{child}\n(#{child.to_s.clone.object_id})"
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end
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label_text = "#{key} #{type(attr[0].attribute) == :continuous ? attr[0].threshold : ""}"
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[parent_text, child_text, label_text]
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end
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attr[1].keys.each { |key| links += build_tree(attr[1][key]) }
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return links
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end
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end
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class Rule
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attr_accessor :premises
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attr_accessor :conclusion
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attr_accessor :attributes
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def initialize(attributes,premises=[],conclusion=nil)
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@attributes, @premises, @conclusion = attributes, premises, conclusion
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end
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def to_s
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str = ''
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@premises.each do |p|
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str += "#{p.first.attribute} #{p.last} #{p.first.threshold}" if p.first.threshold
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str += "#{p.first.attribute} = #{p.last}" if !p.first.threshold
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str += "\n"
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end
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str += "=> #{@conclusion} (#{accuracy})"
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end
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def predict(test)
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verifies = true;
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@premises.each do |p|
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if p.first.threshold then # Continuous
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if !(p.last == '>=' && test[@attributes.index(p.first.attribute)] >= p.first.threshold) && !(p.last == '<' && test[@attributes.index(p.first.attribute)] < p.first.threshold) then
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verifies = false; break
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end
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else # Discrete
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if test[@attributes.index(p.first.attribute)] != p.last then
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verifies = false; break
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end
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end
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end
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return @conclusion if verifies
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return nil
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end
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def get_accuracy(data)
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correct = 0; total = 0
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data.each do |d|
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prediction = predict(d)
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correct += 1 if d.last == prediction
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total += 1 if !prediction.nil?
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end
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(correct.to_f + 1) / (total.to_f + 2)
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end
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def accuracy(data=nil)
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data.nil? ? @accuracy : @accuracy = get_accuracy(data)
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end
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end
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class Ruleset
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attr_accessor :rules
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def initialize(attributes, data, default, type)
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@attributes, @default, @type = attributes, default, type
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mixed_data = data.sort_by {rand}
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cut = (mixed_data.size.to_f * 0.67).to_i
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@train_data = mixed_data.slice(0..cut-1)
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@prune_data = mixed_data.slice(cut..-1)
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end
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def train(train_data=@train_data, attributes=@attributes, default=@default)
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dec_tree = DecisionTree::ID3Tree.new(attributes, train_data, default, @type)
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dec_tree.train
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@rules = dec_tree.build_rules
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@rules.each { |r| r.accuracy(train_data) } # Calculate accuracy
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prune
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end
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def prune(data=@prune_data)
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@rules.each do |r|
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(1..r.premises.size).each do
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acc1 = r.accuracy(data)
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p = r.premises.pop
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if acc1 > r.get_accuracy(data) then
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r.premises.push(p); break
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end
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end
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end
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@rules = @rules.sort_by{|r| -r.accuracy(data)}
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end
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def to_s
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str = ''; @rules.each { |rule| str += "#{rule}\n\n" }
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str
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end
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def predict(test)
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@rules.each do |r|
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prediction = r.predict(test)
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return prediction, r.accuracy unless prediction.nil?
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end
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return @default, 0.0
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end
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end
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class Bagging
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attr_accessor :classifiers
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def initialize(attributes, data, default, type)
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@classifiers, @type = [], type
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@data, @attributes, @default = data, attributes, default
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end
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def train(data=@data, attributes=@attributes, default=@default)
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@classifiers = []
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10.times { @classifiers << Ruleset.new(attributes, data, default, @type) }
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@classifiers.each do |c|
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c.train(data, attributes, default)
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end
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end
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def predict(test)
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predictions = Hash.new(0)
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@classifiers.each do |c|
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p, accuracy = c.predict(test)
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predictions[p] += accuracy unless p.nil?
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end
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return @default, 0.0 if predictions.empty?
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winner = predictions.sort_by {|k,v| -v}.first
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return winner[0], winner[1].to_f / @classifiers.size.to_f
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end
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end
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end
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