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import numpy as np
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class AIlib:
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def sigmoid(x):
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return 1/(1 + np.exp(-x))
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def sigmoid_der(x):
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return AIlib.sigmoid(x) * (1 - AIlib.sigmoid(x))
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def correctFunc(inp:np.array): # generates the correct answer for the AI
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return np.array( [inp[2], inp[1], inp[0]] ) # basically invert the rgb values
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def calcCost( predicted:np.array, correct:np.array ): # cost function, lower -> good, higher -> bad, bad bot, bad
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return (predicted - correct)**2
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def calcCost_derv( predicted:np.array, correct:np.array ):
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return (predicted - correct)*2
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def genRandomMatrix( x:int, y:int, min: float=0.0, max: float=1.0 ): # generate a matrix with x, y dimensions with random values from min-max in it
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# apply ranger with * and -
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mat = np.random.rand(x, y) - 0.25
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return mat
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def think( inp:np.array, weights:list, bias:list, layerIndex: int=0 ): # recursive thinking, hehe
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maxLayer = len(weights) - 1
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weightedInput = np.dot( inp, weights[layerIndex] ) # dot multiply the input and the weights
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layer = AIlib.sigmoid( np.add(weightedInput, bias[layerIndex]) ) # add the biases
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if( layerIndex < maxLayer ):
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return AIlib.think( layer, weights, bias, layerIndex + 1 )
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else:
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out = np.squeeze(np.asarray(layer))
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print("-Result-")
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print(out)
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print("\n")
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return out
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def gradient( prop, cost:float, inp:np.array, predicted:np.array, correct:np.array ):
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# Calculate the gradient
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derv1 = AIlib.calcCost_derv( predicted, correct )
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derv2 = AIlib.sigmoid_der( predicted )
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gradient = np.transpose( np.asmatrix(derv1 * derv2 * inp) )
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print("Inp:", inp)
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print("Grad:", gradient)
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return gradient
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def mutateProp( prop:list, lr:float, gradient ):
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newProp = [None] * len(prop)
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for i in range(len(prop)):
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newProp[i] = prop[i] - (lr*gradient)
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return newProp
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def learn( inp:np.array, obj, theta:float ):
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# Calculate the derivative for:
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# Cost in respect to weights
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# Cost in respect to biases
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predicted = AIlib.think( inp, obj.weights, obj.bias ) # Think the first result
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correct = AIlib.correctFunc( inp )
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cost = AIlib.calcCost( predicted, correct ) # Calculate the cost of the thought result
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#inp2 = np.asarray( inp + theta ) # make the new input with `theta` as diff
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#res2 = AIlib.think( inp2, obj.weights, obj.bias ) # Think the second result
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#cost2 = AIlib.calcCost( inp2, res2 ) # Calculate the cost
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gradientWeight = AIlib.gradient( obj.weights, cost, inp, predicted, correct )
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gradientBias = AIlib.gradient( obj.bias, cost, inp, predicted, correct )
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obj.weights = AIlib.mutateProp( obj.weights, obj.learningrate, gradientWeight )
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obj.bias = AIlib.mutateProp( obj.bias, obj.learningrate, gradientBias )
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print("Cost: ", cost1)
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