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f340bde6e0
* feat: add simple foward propagation implementation * fix: add PR requested changes * feat: add code example * fix: solve pre-commit failure * feat: add doctest inside code execution * fix: PR requested changes * fix: pr requested changes Co-authored-by: Caio Cordeiro <ccordeirodemorae@apple.com>
64 lines
1.6 KiB
Python
64 lines
1.6 KiB
Python
"""
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Forward propagation explanation:
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https://towardsdatascience.com/forward-propagation-in-neural-networks-simplified-math-and-code-version-bbcfef6f9250
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"""
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import math
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import random
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# Sigmoid
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def sigmoid_function(value: float, deriv: bool = False) -> float:
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"""Return the sigmoid function of a float.
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>>> sigmoid_function(3.5)
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0.9706877692486436
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>>> sigmoid_function(3.5, True)
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-8.75
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"""
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if deriv:
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return value * (1 - value)
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return 1 / (1 + math.exp(-value))
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# Initial Value
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INITIAL_VALUE = 0.02
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def forward_propagation(expected: int, number_propagations: int) -> float:
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"""Return the value found after the forward propagation training.
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>>> res = forward_propagation(32, 10000000)
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>>> res > 31 and res < 33
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True
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>>> res = forward_propagation(32, 1000)
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>>> res > 31 and res < 33
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False
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"""
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# Random weight
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weight = float(2 * (random.randint(1, 100)) - 1)
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for _ in range(number_propagations):
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# Forward propagation
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layer_1 = sigmoid_function(INITIAL_VALUE * weight)
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# How much did we miss?
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layer_1_error = (expected / 100) - layer_1
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# Error delta
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layer_1_delta = layer_1_error * sigmoid_function(layer_1, True)
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# Update weight
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weight += INITIAL_VALUE * layer_1_delta
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return layer_1 * 100
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if __name__ == "__main__":
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import doctest
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doctest.testmod()
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expected = int(input("Expected value: "))
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number_propagations = int(input("Number of propagations: "))
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print(forward_propagation(expected, number_propagations))
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