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Perceptron Learning with 3 inputs
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1 x0: 1 x1: 0 x2: 1 desired: 1 current: 0 w0: -0.4 w1: 0.5 w2: -0.4 sum: -0.8 | |
w0: -0.1 w2: -0.1 | |
2 x0: 0 x1: 1 x2: 1 desired: 1 current: 1 w0: -0.1 w1: 0.5 w2: -0.1 sum: 0.4 | |
3 x0: 1 x1: 1 x2: 1 desired: 1 current: 1 w0: -0.1 w1: 0.5 w2: -0.1 sum: 0.3 | |
4 x0: 0 x1: 0 x2: 1 desired: 0 current: 0 w0: -0.1 w1: 0.5 w2: -0.1 sum: -0.1 | |
5 x0: 1 x1: 0 x2: 1 desired: 1 current: 0 w0: -0.1 w1: 0.5 w2: -0.1 sum: -0.2 | |
w0: 0.2 w2: -0.4 | |
6 x0: 0 x1: 1 x2: 1 desired: 1 current: 1 w0: 0.2 w1: 0.5 w2: -0.4 sum: 0.1 | |
7 x0: 1 x1: 1 x2: 1 desired: 1 current: 1 w0: 0.2 w1: 0.5 w2: -0.4 sum: 0.3 | |
8 x0: 0 x1: 0 x2: 1 desired: 0 current: 0 w0: 0.2 w1: 0.5 w2: -0.4 sum: -0.4 | |
9 x0: 1 x1: 0 x2: 1 desired: 1 current: 0 w0: 0.2 w1: 0.5 w2: -0.4 sum: -0.2 | |
w0: 0.5 w2: -0.7 | |
10 x0: 0 x1: 1 x2: 1 desired: 1 current: 0 w0: 0.5 w1: 0.5 w2: -0.7 sum: -0.2 | |
w1: 0.8 w2: -1.0 | |
11 x0: 1 x1: 1 x2: 1 desired: 1 current: 1 w0: 0.5 w1: 0.8 w2: -1.0 sum: 0.3 | |
12 x0: 0 x1: 0 x2: 1 desired: 0 current: 0 w0: 0.5 w1: 0.8 w2: -1.0 sum: -1.0 | |
13 x0: 1 x1: 0 x2: 1 desired: 1 current: 0 w0: 0.5 w1: 0.8 w2: -1.0 sum: -0.5 | |
w0: 0.8 w2: -0.7 | |
14 x0: 0 x1: 1 x2: 1 desired: 1 current: 1 w0: 0.8 w1: 0.8 w2: -0.7 sum: 0.1 | |
15 x0: 1 x1: 1 x2: 1 desired: 1 current: 1 w0: 0.8 w1: 0.8 w2: -0.7 sum: 0.9 | |
16 x0: 0 x1: 0 x2: 1 desired: 0 current: 0 w0: 0.8 w1: 0.8 w2: -0.7 sum: -0.7 | |
17 x0: 1 x1: 0 x2: 1 desired: 1 current: 1 w0: 0.8 w1: 0.8 w2: -0.7 sum: 0.1 | |
18 x0: 0 x1: 1 x2: 1 desired: 1 current: 1 w0: 0.8 w1: 0.8 w2: -0.7 sum: 0.1 | |
19 x0: 1 x1: 1 x2: 1 desired: 1 current: 1 w0: 0.8 w1: 0.8 w2: -0.7 sum: 0.9 |
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require 'colorize' | |
class Perceptron | |
def initialize(weights, learningrate, threshold) | |
@weights, @learningrate, @threshold = weights, learningrate, threshold | |
@step = 1 | |
end | |
def learn(inputs, desired_output) | |
output = "#{@step}\t" | |
inputs.each_with_index do |value, index| | |
output += "x#{index}: #{value}\t" | |
end | |
output += "desired: #{desired_output}\t" | |
output += "current: #{current(inputs)}\t" | |
@weights.each_with_index do |value, index| | |
output += "w#{index}: #{value.round 4} \t" | |
end | |
output += "sum: #{sum(inputs).round 4}" | |
if correct?(inputs, desired_output) | |
puts output.green | |
else | |
puts output.red | |
adjust_weights(inputs, desired_output) | |
end | |
@step += 1 | |
end | |
def adjust_weights(inputs, desired_output) | |
output = "" | |
(inputs.size + 5).times do | |
output += " \t" | |
end | |
inputs.each_with_index do |value, index| | |
if value == 1 | |
adjustment = value * @learningrate | |
current(inputs) < desired_output ? @weights[index] += adjustment : @weights[index] -= adjustment | |
output += "w#{index}: #{@weights[index].round 4} \t" | |
else | |
output += "\t\t" | |
end | |
end | |
puts output | |
end | |
def sum(inputs) | |
sum = 0 | |
inputs.each_with_index do |value, index| | |
sum += value * @weights[index] | |
end | |
sum | |
end | |
def current(inputs) | |
sum(inputs) >= @threshold ? 1 : 0 | |
end | |
def correct?(inputs, desired_output) | |
current(inputs) == desired_output | |
end | |
end | |
neuron = Perceptron.new [-0.4, 0.5, -0.4], 0.3, 0 | |
10.times do | |
neuron.learn [1, 0, 1], 1 | |
neuron.learn [0, 1, 1], 1 | |
neuron.learn [1, 1, 1], 1 | |
neuron.learn [0, 0, 1], 0 | |
end |
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