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Why does zero_grad() need to be called during training?

|  zero_grad(self)
|      Sets gradients of all model parameters to zero.
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8 Answers 8

511

In PyTorch, for every mini-batch during the training phase, we typically want to explicitly set the gradients to zero before starting to do backpropagation (i.e., updating the Weights and biases) because PyTorch accumulates the gradients on subsequent backward passes. This accumulating behavior is convenient while training RNNs or when we want to compute the gradient of the loss summed over multiple mini-batches. So, the default action has been set to accumulate (i.e. sum) the gradients on every loss.backward() call.

Because of this, when you start your training loop, ideally you should zero out the gradients so that you do the parameter update correctly. Otherwise, the gradient would be a combination of the old gradient, which you have already used to update your model parameters and the newly-computed gradient. It would therefore point in some other direction than the intended direction towards the minimum (or maximum, in case of maximization objectives).

Here is a simple example:

import torch
from torch.autograd import Variable
import torch.optim as optim

def linear_model(x, W, b):
    return torch.matmul(x, W) + b

data, targets = ...

W = Variable(torch.randn(4, 3), requires_grad=True)
b = Variable(torch.randn(3), requires_grad=True)

optimizer = optim.Adam([W, b])

for sample, target in zip(data, targets):
    # clear out the gradients of all Variables 
    # in this optimizer (i.e. W, b)
    optimizer.zero_grad()
    output = linear_model(sample, W, b)
    loss = (output - target) ** 2
    loss.backward()
    optimizer.step()

Alternatively, if you're doing a vanilla gradient descent, then:

W = Variable(torch.randn(4, 3), requires_grad=True)
b = Variable(torch.randn(3), requires_grad=True)

for sample, target in zip(data, targets):
    # clear out the gradients of Variables 
    # (i.e. W, b)
    W.grad.data.zero_()
    b.grad.data.zero_()

    output = linear_model(sample, W, b)
    loss = (output - target) ** 2
    loss.backward()

    W -= learning_rate * W.grad.data
    b -= learning_rate * b.grad.data

Note:

  • The accumulation (i.e., sum) of gradients happens when .backward() is called on the loss tensor.
  • As of v1.7.0, Pytorch offers the option to reset the gradients to None optimizer.zero_grad(set_to_none=True) instead of filling them with a tensor of zeroes. The docs claim that this setting reduces memory requirements and slightly improves performance, but might be error-prone if not handled carefully.
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  • 1
    Just to be sure.. if you don't do this, then you will run into an exploding gradient problem, right?
    – zwep
    Commented Dec 13, 2019 at 10:59
  • 28
    @zwep If we accumulate gradients, it doesn't mean their magnitude increases: an example would be if the sign of the gradient keeps flipping. So it wouldn't guarantee you'd run into the exploding gradient problem. Besides, exploding gradients exist even if you zero correctly.
    – Tom Roth
    Commented Apr 14, 2020 at 5:18
  • 1
    A follow-up question on this: so you're saying we shouldn't call optimizer.zero_grad() when training RNN models such as LSTM, for example?
    – Loqz
    Commented May 20, 2021 at 9:40
  • 3
    Why optimizer.zero_grad() is before output = linear_model(sample, W, b) ?
    – mrgloom
    Commented Jun 3, 2021 at 15:52
  • 1
    Can someone answer @Loqz's question? I'm wondering about that too. Do you need to call zero_grad() when training an RNN?
    – Alaa M.
    Commented Jul 30, 2021 at 18:51
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Although the idea can be derived from the chosen answer, I feel like I want to write that explicitly.

Being able to decide when to call optimizer.zero_grad() and optimizer.step() provides more freedom on how gradients are accumulated and applied by the optimizer in the training loop. This is crucial when the model or input data is big and one training batch do not fit on the GPU.

Here in this example, there are two arguments, named train_batch_size and gradient_accumulation_steps.

  • train_batch_size is the batch size for the forward pass, following the loss.backward(). This is limited by the gpu memory.

  • gradient_accumulation_steps is the actual training batch size, where loss from multiple forward pass is accumulated. This is NOT limited by the gpu memory.

From this example, you can see how optimizer.zero_grad() may followed by optimizer.step() but NOT loss.backward(). loss.backward() is invoked in every single iteration (line 216) but optimizer.zero_grad() and optimizer.step() is only invoked when the number of accumulated train batch equals the gradient_accumulation_steps (line 227 inside the if block in line 219)

Also, someone is asking about the equivalent method in TensorFlow. I guess tf.GradientTape serves the same purpose.

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10

Why gradients?

The gradients suggest to the optimizer what direction to step in. Every time you process a batch of inputs with .backward(), you accumulate "suggestions" of where to step. Notice that a suggestion is much weaker than a decision. When you call optimizer.step(), the optimizer uses these suggestions to make actual decisions of where to actually step. These decisions may be influenced by the learning rate, past steps (e.g. momentum), and past weights (e.g. SWA). The optimizer reads the suggestions and then steps in a direction that it hopes will minimize future losses.

loss.backward()        # Compute gradients.
optimizer.step()       # Tell the optimizer the gradients, then step.
optimizer.zero_grad()  # Zero the gradients to start fresh next time.

Why zero the gradients?

Once you've completed a step, you don't really need to keep track of your previous suggestion (i.e. gradients) of where to step. By zeroing the gradients, you are throwing away this information. Some optimizers already keep track of this information automatically and internally.

With the next batch of inputs, you begin from a clean slate to suggest where to step next. This suggestion is pure and not influenced by the past. You then feed this "pure" information to the optimizer, which then decides exactly where to step.

Of course, you can decide to hold onto previous gradients, but that information is somewhat outdated since you're in an entirely new spot on the loss surface. Who is to say that the best direction to go next is still the same as the previous? It might be completely different! That's why most popular optimization algorithms throw most of that outdated information away (by zeroing the gradients).



Another alternative: Deleting gradients completely (instead of zeroing)

Instead of zeroing the gradients, you can also delete them entirely. The PyTorch performance tuning guide suggests:

# INSTEAD OF:
model.zero_grad()
# or
optimizer.zero_grad()
# CONSIDER:
for param in model.parameters():
    param.grad = None

...but one of the developers mentions this in a comment from 5 years ago:

The main difference is that the Tensor containing the gradients will not be reallocated at every backward pass. Since memory allocation is quite expensive (especially on GPU), this is much more efficient.

There are other subtle differences between the two like some optimizers that behave differently if a gradient is 0 or None. It am sure there are other places that behave like that.

...On the other hand, inplace operations are usually not considered necessary or even suboptimal in some cases, so I guess YMMV w.r.t. the performance of either method.

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It is important to visualize the losses to understand their behavior. One thing to keep in mind is that not using zero_grad() can lead gradients to accumulation by default:

  • using zero_grad(): using zero_grad()
  • not using zero_grad(): notusing zero_grad()
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In simple terms We need ZERO_GRAD

because when we start a training loop, we do not want past gardients or past results to interfere with our current results beacuse how PyTorch works as it collects/accumulates the gradients on backpropagation and if the past results may mixup and give us the wrong results so we set the gradient to zero every time we go through the loop. Here is a example:


    # let us write a training loop
    torch.manual_seed(42)
    
    epochs = 200
    for epoch in range(epochs):
      model_1.train()
    
      y_pred = model_1(X_train)
    
      loss = loss_fn(y_pred,y_train)
    
      optimizer.zero_grad()
    
      loss.backward()

      optimizer.step()

In this for loop, if we do not set the optimizer to zero every time the past value it may get add up and changes the result. So we use zero_grad to not face the wrong accumulated results.

2

zero_grad() restarts looping without losses from the last step if you use the gradient method for decreasing the error (or losses).

If you do not use zero_grad() the loss will increase not decrease as required.

For example:

If you use zero_grad() you will get the following output:

model training loss is 1.5
model training loss is 1.4
model training loss is 1.3
model training loss is 1.2

If you do not use zero_grad() you will get the following output:

model training loss is 1.4
model training loss is 1.9
model training loss is 2
model training loss is 2.8
model training loss is 3.5
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  • 9
    This is confusing to say the least. What looping gets restarted? Loss increase/decrease is affected indirectly, it can increase when you do .zero_grad() and it can decrease when you don't. Where are the outputs you're showing coming from?
    – dedObed
    Commented Feb 16, 2021 at 9:20
  • dear dedObed (this example for if you remove zero_grad from your correctly code), we talk about .zero_grad() function , this function only is start looping without the last result ، if loss is increasing is increasing you should be review your input ( write your problem in new topic and git me the link. Commented Feb 16, 2021 at 9:32
  • 7
    I (think I) do understand PyTorch well enough. I'm just pointing out what I perceive as flaws in you answer -- it's not clear, drawing quick conclusions, showing outputs who-knows-of-what.
    – dedObed
    Commented Feb 16, 2021 at 9:40
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You don't have to call grad_zero() alternatively one can decay the gradients for example:

optimizer = some_pytorch_optimizer
# decay the grads :
for group in optimizer.param_groups:
    for p in group['params']:
        if p.grad is not None:
            ''' original code from git:
            if set_to_none:
                p.grad = None
            else:
                if p.grad.grad_fn is not None:
                    p.grad.detach_()
                else:
                    p.grad.requires_grad_(False)
                p.grad.zero_()
                
            '''
            p.grad = p.grad / 2

this way the learning is much more continues

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During the feed forward propagation the weights are assigned to inputs and after the 1st iteration the weights are initialized what the model has learnt seeing the samples(inputs). And when we start back propagation we want to update weights in order to get minimum loss of our cost function. So we clear off our previous weights in order to obtained more better weights. This we keep doing in training and we do not perform this in testing because we have got the weights in training time which is best fitted in our data. Hope this would clear more!

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