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September 27, 2019 03:00
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A simple single layer ANN ( perceptron) to realize logic gates function
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import numpy as np | |
import matplotlib.pyplot as plt | |
class Perceptron(object): | |
""" | |
This class defines a single layer perceptron with 3 inputs ; | |
initial weights will be set to 0; | |
one extra bias w[0] will be added; | |
Params | |
------ | |
eta : float | |
the learning rate to the model ( between 0 to 1) | |
max_iter : int | |
maximum number of iterration allowed for the prediction . default values is set to 50 | |
Attributes: | |
--------- | |
weights : array | |
stores the weights to the percpetron | |
len(weoights) willl be 1 extra to the len(inputs) | |
errors_ : array | |
stores the error in each epoch for simple ploting purpose | |
""" | |
def __init__(self,eta=0.1,max_iter = 50): | |
self.eta = eta | |
self.max_iter = max_iter | |
def net_input(self,x): | |
""" | |
cal culate the net input | |
:return: | |
""" | |
return np.dot(x,self.weights[1:]) + self.weights[0] | |
def predict(self,x): | |
# return np.where(self.net_input(x) >= 0.0 ,1 ,0) | |
# if traing set contains 0 the use this | |
# if traing set contain -1 instead of 0 use the below | |
return np.where(self.net_input(x) >= 0.0, 1, -1) | |
def fit(self,X,Y): | |
""" | |
:param X: | |
the input training set to the model | |
:param Y: | |
input output training set to the model | |
:return: self(object) | |
""" | |
# self.weights = np.array([0.001,0.5,0.9,0.3]) | |
self.weights = np.zeros(1+ X.shape[1]) # initialze weights to 0 including the bias | |
self.errors_ = [] | |
for iter in range(self.max_iter): | |
print("----------------------------------------------------") | |
print(" In iter no.:-> ",iter) | |
print() | |
errors = 0 | |
for x_i,target in zip(X,Y): | |
predicted = self.predict(x_i) | |
update = self.eta * (target- predicted) | |
print("Target:->",target," Predicted:->",predicted," Update:->",update) | |
self.weights[1:] += update * x_i | |
self.weights[0] += update | |
if update !=0.0: | |
errors += update | |
print("Total error:->",errors) | |
self.errors_.append(errors) | |
print("Weights:->", self.weights) | |
if errors == 0.0 :break | |
plt.plot(self.errors_,c='r') | |
plt.ylabel("Error in each epoch") | |
plt.xlabel("Epoch no.") | |
# plt.show() | |
# train_x = np.array([ | |
# [0, 0, 0], | |
# [0, 0, 1], | |
# [0, 1, 0], | |
# [0, 1, 1], | |
# [1, 0, 0], | |
# [1, 0, 1], | |
# [1, 1, 0], | |
# [1, 1, 1] | |
# ]) | |
# | |
# train_y = np.array([0, 0, 0, 0, 0, 0, 0, 1]) | |
train_x = np.array([ | |
[-1, -1, -1], | |
[-1, -1, 1], | |
[-1, 1, -1], | |
[-1, 1, 1], | |
[1, -1, -1], | |
[1, -1, 1], | |
[1, 1, -1], | |
[1, 1, 1] | |
]) | |
And_Y = np.array([-1, -1, -1, -1, -1, -1, -1, 1]) | |
OR_Y = np.array([-1, 1, 1, 1, 1, 1, 1, 1]) | |
NAND_Y = np.array([1, 1, 1, 1, 1, 1, 1, -1]) | |
NOR_y = np.array([1, -1, -1, -1, -1, -1, -1, -1]) | |
AND = Perceptron(0.3, 100) | |
NAND = Perceptron(0.3, 100) | |
OR = Perceptron(0.3, 100) | |
NOR = Perceptron(0.3, 100) | |
print("\n############# LOGIC GATE : AND ####################\n") | |
AND.fit(train_x, And_Y) | |
print("\n################# LOGIC GATE : NAND #####################\n") | |
NAND.fit(train_x,NAND_Y) | |
print("\n################## LOGIC GATE : OR ########################\n") | |
OR.fit(train_x,OR_Y) | |
print("\n################## LOGIC GATE : NOR ########################\n") | |
NOR.fit(train_x,NOR_y) |
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