NeuralNetwork

Create a simple neural network and testing with a simple example

For what

There is the minimum code to begin with easy examples which use simple data such as math operations (XOR, NAND, ...)

How to use

• There is inputs and outputs in main class which are data to your examples
• After training with these data, there is a testing phase in order to test with new data to know if your neural network works correctly

How to work Neural Network

Before training

• We have some inputs and the results of these inputs such as :

        |Inputs |Outputs |
        |-------|--------|
        |0, 0, 1| 0      |
        |1, 1, 1| 1      |
        |1, 0, 1| 1      |
        |0, 1, 1| 0      |
  
        > A row represent 3 inputs (3 neurons in input layer) and 1 output (1 neuron in output layer)
  

• Moreover, we have some weights for every synapse choosed randomly

During training

• We multiply the matrix of inputs values and the matrix of their weights

• A bias is added during this sum : ∑ (values + weights) + bias (from 1 to n neurons) :

• After that, we send this matrix of outputs results in sigmoid function :

  • Sigmoid Function :
    • x is the ∑ result.

• Backpropagation :

  • We compute the error

!! NOT FINISHED YET !!