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import numpy as np
import math
from scipy.special import expit
from secrets import token_hex
CYRILLIC_ALPHABET = ['I', 'А', 'Б', 'В', 'Г', 'Д', 'Е', 'Ë', 'Ж', 'З',
'И', 'Й', 'К', 'Л', 'М', 'Н', 'О', 'П', 'Р', 'С',
'Т', 'У', 'Ф', 'Х', 'Ц', 'Ч', 'Ш', 'Щ', 'Ъ', 'Ы',
'Ь', 'Э', 'Ю', 'Я']
"""The neural network class."""
class NeuralNetwork:
def __init__(self, learning_rate: float, input_resolution: int) -> None:
self.learning_rate = learning_rate
self.input_layer_size = input_resolution
self.hidden_layer_size = len(CYRILLIC_ALPHABET)
self._hidden_weights = self._random_array(self.hidden_layer_size,
input_resolution)
self._output_weights = self._random_array(input_resolution, 1)
"""
Train the neural network. It loads the dataset contained in ./data,
converts each image into a numpy array and uses that data for training.
Algorithm:
1-. Feedforward the input matrix.
2-. Calculate the output layer error.
3-. Adjust the weights of the output layer via gradient descent.
3-. Calculate the hidden layer error by backpropagating the output layer
error.
4-. Adjust the weights of the hidden layer via gradient descent.
"""
def train(self):
pass
"""
Guess the letter contained in the image file pointed by
input_image (a path).
"""
def guess(self, input_image: np.array) -> str:
output_layer = self.feedforward(input_image)
return self._guessed_char(output_layer)
"""
Feedforwarding.
"""
def feedforward(self, input_layer: np.array):
hidden_layer_inputs = np.dot(self._hidden_weights, input_layer)
hidden_layer_outputs = self._get_layer_output(hidden_layer_inputs)
output_layer_inputs = np.dot(hidden_layer_outputs,
self._output_weights)
# The output layer outputs. (Final output of the neural network).
return self._get_layer_output(output_layer_inputs)
"""
Save the weights to a csv file.
"""
def save(self):
np.savetxt(f"./hidden_weights_{token_hex(8)}.csv",
self._hidden_weights, delimiter=',')
np.savetxt(f"./output_weights_{token_hex(8)}.csv",
self._output_weights, delimiter=',')
"""
Load the weights from a csv file.
"""
def load(self, hidden_weights_file: str, output_weights_file: str):
with open(hidden_weights_file) as hidden_weights:
self._hidden_weights = np.loadtxt(hidden_weights, delimiter=',')
with open(output_weights_file) as output_weights:
self._output_weights = np.loadtxt(output_weights, delimiter=',')
"""
Get the result from a sigmoid matrix (the index with the highest chance
of being the correct answer).
"""
def _guessed_char(self, output_layer: np.array) -> str:
return CYRILLIC_ALPHABET[np.argmax(np.transpose(output_layer))]
"""
Apply the sigmoid function to a given layer
"""
def _get_layer_output(self, layer: np.array) -> np.array:
return expit(layer)
"""
Get the hidden layer and output layer error matrices.
"""
def _get_errors(self, target: str) -> tuple:
output_layer_errors = np.substract(self._get_expected_outputs(target),
self._output_layer)
# Backpropagate the errors.
hidden_layer_errors = np.dot(np.transpose(self._hidden_weights),
output_layer_errors)
return (hidden_layer_errors, output_layer_errors)
"""
Given a cyrillic letter, get the target outputs.
"""
def _get_expected_outputs(self, target: str) -> np.array:
index = CYRILLIC_ALPHABET.index(target)
expected_outputs = np.zeros(len(CYRILLIC_ALPHABET), dtype=np.int8)
expected_outputs[index] = 1
return expected_outputs
"""
Generate a random array via an uniform distribution.
"""
def _random_array(self, rows: int, columns: int) -> np.array:
low = -1 / math.sqrt(rows)
high = 1 / math.sqrt(columns)
return np.random.uniform(low, high, (rows, columns))
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