"""
`Learn the Basics `_ ||
`Quickstart `_ ||
`Tensors `_ ||
`Datasets & DataLoaders `_ ||
`Transforms `_ ||
`Build Model `_ ||
`Autograd `_ ||
**Optimization** ||
`Save & Load Model `_
Optimizing Model Parameters
===========================
Now that we have a model and data it's time to train, validate and test our model by optimizing its parameters on
our data. Training a model is an iterative process; in each iteration (called an *epoch*) the model makes a guess about the output, calculates
the error in its guess (*loss*), collects the derivatives of the error with respect to its parameters (as we saw in
the `previous section `_), and **optimizes** these parameters using gradient descent. For a more
detailed walkthrough of this process, check out this video on `backpropagation from 3Blue1Brown `__.
Prerequisite Code
-----------------
We load the code from the previous sections on `Datasets & DataLoaders `_
and `Build Model `_.
"""
import torch
from torch import nn
from torch.utils.data import DataLoader
from torchvision import datasets
from torchvision.transforms import ToTensor, Lambda
training_data = datasets.FashionMNIST(
root="data",
train=True,
download=True,
transform=ToTensor()
)
test_data = datasets.FashionMNIST(
root="data",
train=False,
download=True,
transform=ToTensor()
)
train_dataloader = DataLoader(training_data, batch_size=64)
test_dataloader = DataLoader(test_data, batch_size=64)
class NeuralNetwork(nn.Module):
def __init__(self):
super(NeuralNetwork, self).__init__()
self.flatten = nn.Flatten()
self.linear_relu_stack = nn.Sequential(
nn.Linear(28*28, 512),
nn.ReLU(),
nn.Linear(512, 512),
nn.ReLU(),
nn.Linear(512, 10),
)
def forward(self, x):
x = self.flatten(x)
logits = self.linear_relu_stack(x)
return logits
model = NeuralNetwork()
##############################################
# Hyperparameters
# -----------------
#
# Hyperparameters are adjustable parameters that let you control the model optimization process.
# Different hyperparameter values can impact model training and convergence rates
# (`read more `__ about hyperparameter tuning)
#
# We define the following hyperparameters for training:
# - **Number of Epochs** - the number times to iterate over the dataset
# - **Batch Size** - the number of data samples propagated through the network before the parameters are updated
# - **Learning Rate** - how much to update models parameters at each batch/epoch. Smaller values yield slow learning speed, while large values may result in unpredictable behavior during training.
#
learning_rate = 1e-3
batch_size = 64
epochs = 5
#####################################
# Optimization Loop
# -----------------
#
# Once we set our hyperparameters, we can then train and optimize our model with an optimization loop. Each
# iteration of the optimization loop is called an **epoch**.
#
# Each epoch consists of two main parts:
# - **The Train Loop** - iterate over the training dataset and try to converge to optimal parameters.
# - **The Validation/Test Loop** - iterate over the test dataset to check if model performance is improving.
#
# Let's briefly familiarize ourselves with some of the concepts used in the training loop. Jump ahead to
# see the :ref:`full-impl-label` of the optimization loop.
#
# Loss Function
# ~~~~~~~~~~~~~~~~~
#
# When presented with some training data, our untrained network is likely not to give the correct
# answer. **Loss function** measures the degree of dissimilarity of obtained result to the target value,
# and it is the loss function that we want to minimize during training. To calculate the loss we make a
# prediction using the inputs of our given data sample and compare it against the true data label value.
#
# Common loss functions include `nn.MSELoss `_ (Mean Square Error) for regression tasks, and
# `nn.NLLLoss `_ (Negative Log Likelihood) for classification.
# `nn.CrossEntropyLoss `_ combines ``nn.LogSoftmax`` and ``nn.NLLLoss``.
#
# We pass our model's output logits to ``nn.CrossEntropyLoss``, which will normalize the logits and compute the prediction error.
# Initialize the loss function
loss_fn = nn.CrossEntropyLoss()
#####################################
# Optimizer
# ~~~~~~~~~~~~~~~~~
#
# Optimization is the process of adjusting model parameters to reduce model error in each training step. **Optimization algorithms** define how this process is performed (in this example we use Stochastic Gradient Descent).
# All optimization logic is encapsulated in the ``optimizer`` object. Here, we use the SGD optimizer; additionally, there are many `different optimizers `_
# available in PyTorch such as ADAM and RMSProp, that work better for different kinds of models and data.
#
# We initialize the optimizer by registering the model's parameters that need to be trained, and passing in the learning rate hyperparameter.
optimizer = torch.optim.SGD(model.parameters(), lr=learning_rate)
#####################################
# Inside the training loop, optimization happens in three steps:
# * Call ``optimizer.zero_grad()`` to reset the gradients of model parameters. Gradients by default add up; to prevent double-counting, we explicitly zero them at each iteration.
# * Backpropagate the prediction loss with a call to ``loss.backward()``. PyTorch deposits the gradients of the loss w.r.t. each parameter.
# * Once we have our gradients, we call ``optimizer.step()`` to adjust the parameters by the gradients collected in the backward pass.
########################################
# .. _full-impl-label:
#
# Full Implementation
# -----------------------
# We define ``train_loop`` that loops over our optimization code, and ``test_loop`` that
# evaluates the model's performance against our test data.
def train_loop(dataloader, model, loss_fn, optimizer):
size = len(dataloader.dataset)
for batch, (X, y) in enumerate(dataloader):
# Compute prediction and loss
pred = model(X)
loss = loss_fn(pred, y)
# Backpropagation
optimizer.zero_grad()
loss.backward()
optimizer.step()
if batch % 100 == 0:
loss, current = loss.item(), batch * len(X)
print(f"loss: {loss:>7f} [{current:>5d}/{size:>5d}]")
def test_loop(dataloader, model, loss_fn):
size = len(dataloader.dataset)
num_batches = len(dataloader)
test_loss, correct = 0, 0
with torch.no_grad():
for X, y in dataloader:
pred = model(X)
test_loss += loss_fn(pred, y).item()
correct += (pred.argmax(1) == y).type(torch.float).sum().item()
test_loss /= num_batches
correct /= size
print(f"Test Error: \n Accuracy: {(100*correct):>0.1f}%, Avg loss: {test_loss:>8f} \n")
########################################
# We initialize the loss function and optimizer, and pass it to ``train_loop`` and ``test_loop``.
# Feel free to increase the number of epochs to track the model's improving performance.
loss_fn = nn.CrossEntropyLoss()
optimizer = torch.optim.SGD(model.parameters(), lr=learning_rate)
epochs = 10
for t in range(epochs):
print(f"Epoch {t+1}\n-------------------------------")
train_loop(train_dataloader, model, loss_fn, optimizer)
test_loop(test_dataloader, model, loss_fn)
print("Done!")
#################################################################
# Further Reading
# -----------------------
# - `Loss Functions `_
# - `torch.optim `_
# - `Warmstart Training a Model `_
#