Create and Train a Neural Network in Python
An implementation to create and train a simple neural network in python - just to learn the basics of how neural networks work
Usage
Create a tuple of layers where each element is a tuple as well
The first element of this tuple needs to be the actual layer, and the second element needs to be the activation function applied to the layer
from nn.layer import Dense
from nn.activation import ReLU, Sigmoid
layers = (
(Dense(64), ReLU()),
(Dense(64), ReLU()),
(Dense(1), Sigmoid())
)
The model can then be created using the NeuralNetwork class
from nn.loss import BinaryCrossEntropy
from nn.model import NeuralNetwork
model = NeuralNetwork(
layers=layers,
loss=BinaryCrossEntropy(),
learning_rate=1.
)
The model can then be trained:
model.fit(x_train, y_train)
Please take a look at this notebook for a detailed example
Training Loop
The training loop is in the fit
method in NeuralNetwork
:
class NeuralNetwork(IModel):
...
def fit(self, examples, labels, epochs):
self._input = examples
for epoch in range(1, epochs + 1):
_ = self(self._input) # [1]
loss = self._loss(self._output, labels) # [2]
self.backward_step(labels) # [3]
self.update() # [4]
...
At the moment, one iteration is on the entire training set and mini-batch is not implemented.
In each iteration, we take a forward pass through the model self(self._input)
.
Then loss is computed. Loss computation is only necessary if you plan to use the loss in some way - eg. log the loss.
The backward pass self.backward_step(labels)
goes from the output layer, all the way
back to the inputs to compute gradients for all the learnable parameters. Once this is done,
we can update the learnable parameters with the self.update()
method.
1. Forward Pass
Forward pass is executed when the model instance is called:
class NeuralNetwork(IModel):
...
def __call__(self, input_tensor):
output = input_tensor
for layer, activation in self._layers:
output = layer(output)
output = activation(output)
self._output = output
...
The tuple of layers in the self._layers
parameter is actually a tuple of tuples where
each tuple has a layer (e.g. Dense), and an activation (e.g. ReLU).
2. Compute Loss
A loss function is required when instantiating the model. The loss function must implement the ILoss
protocol
which returns computed loss when the loss function instance is called.
3. Backward Pass
Backward pass computes gradients for all learnable parameters of the model:
class NeuralNetwork(IModel):
...
def backward_step(self, labels: np.ndarray):
da = self._loss.gradient(self._output, labels)
for index in reversed(range(0, self._num_layers)):
layer, activation = self._layers[index]
if index == 0:
prev_layer_output = self._input
else:
prev_layer, prev_activation = self._layers[index - 1]
prev_layer_output = prev_activation(prev_layer.output)
dz = np.multiply(da, activation.gradient(layer.output))
layer.grad_weights = np.dot(dz, np.transpose(prev_layer_output)) / self._num_examples
layer.grad_weights = layer.grad_weights + \
(self._regularization_factor / self._num_examples) * layer.weights
layer.grad_bias = np.mean(dz, axis=1, keepdims=True)
da = np.dot(np.transpose(layer.grad_weights), dz)
...
After calculating gradients from the loss function, we iterate over the layers
backwards all the way to the input to compute the gradients for all learnable parameters.
The computed gradients for each layer are stored in the layer instance itself - i.e
layer.grad_weights
and layer.grad_bias
.
When the loop reaches the first layer, there is no previous output to it. Therefore, we set
prev_layer_output
to self._input
- i.e. the input to the model, the examples
4. Update the Parameters
Finally, the learnable parameters (weights and biases) are updated:
class NeuralNetwork(IModel):
...
def update(self):
for layer, _ in self._layers:
layer.update(self._learning_rate)
...
Next Steps
- Separate the optimization logic from the layer and model classes
- Learning rate scheduler callback
- Way to implement non trainable layers like Dropout
- Way to save and load model parameters