Gradient access (.grad) in PyTorch

Introduction

We use .grad to see how much each number in our model changes the result. This helps the model learn better.

When you want to check how the model is learning after one step.

When you want to debug if gradients are being calculated correctly.

When you want to manually update model weights using gradients.

When you want to understand which parts of the model affect the output most.

When you want to implement custom training loops.

Syntax

PyTorch

tensor.grad

tensor must have requires_grad=True to track gradients.

.grad holds the gradient after calling backward().

Examples

This example calculates the gradient of y = x² at x=2. The gradient is 4.

PyTorch

import torch
x = torch.tensor(2.0, requires_grad=True)
y = x ** 2

y.backward()
print(x.grad)

Here, the gradient of sum is 1 for each element, so the output is a tensor of ones.

PyTorch

import torch
w = torch.tensor([1.0, 2.0, 3.0], requires_grad=True)
z = w.sum()
z.backward()
print(w.grad)

Sample Model

This program calculates the gradient of y = 3x³ at x=3. The gradient is the slope of y at that point.

PyTorch

import torch

# Create a tensor with gradient tracking
x = torch.tensor(3.0, requires_grad=True)

# Define a simple function y = 3x^3
y = 3 * x ** 3

# Compute gradients
y.backward()

# Print the gradient of x
grad = x.grad
print(f"Gradient of y with respect to x: {grad}")

Important Notes

If .grad is None, it means backward() was not called or requires_grad was False.

Gradients accumulate by default, so call zero_() on gradients before new backward passes if needed.

Summary

.grad shows how much a tensor affects the output.

You get gradients after calling backward().

Gradients help update model weights to learn better.

Practice

1. What does the .grad attribute of a PyTorch tensor represent?

easy

A. The shape of the tensor

B. The value of the tensor itself

C. The gradient of the tensor after backpropagation

D. The data type of the tensor

Solution

1. Step 1: Understand the role of .grad in PyTorch

   The .grad attribute stores the gradient of the tensor computed during backpropagation.

2. Step 2: Differentiate from other tensor properties

   The tensor's value, shape, and data type are stored in other attributes, not .grad.

3. Final Answer:

   The gradient of the tensor after backpropagation -> Option C

4. Quick Check:

   .grad = gradient after backward() [OK]

Hint: Remember: .grad holds gradients after backward() [OK]

Common Mistakes:

• Confusing .grad with the tensor's value
• Expecting .grad before calling backward()
• Mixing .grad with tensor shape or dtype

2. Which of the following code snippets correctly accesses the gradient of a tensor x after backpropagation?

easy

A. grad = x.grad

B. grad = x.gradient()

C. grad = x.get_grad()

D. grad = x.gradient

Solution

1. Step 1: Recall the correct attribute for gradients

   PyTorch stores gradients in the .grad attribute, accessed as x.grad.

2. Step 2: Identify incorrect syntax

   Methods like gradient() or get_grad() do not exist for tensors.

3. Final Answer:

   grad = x.grad -> Option A

4. Quick Check:

   Use .grad attribute, not methods [OK]

Hint: Use .grad attribute, not functions [OK]

Common Mistakes:

• Trying to call .grad as a function
• Using incorrect method names
• Accessing .gradient instead of .grad

3. Consider the following PyTorch code:

import torch
x = torch.tensor(2.0, requires_grad=True)
y = x ** 3
z = y + 4
z.backward()
print(x.grad)

What will be the output of print(x.grad)?

medium

A. None

B. tensor(12.)

C. tensor(6.)

D. tensor(8.)

Solution

1. Step 1: Compute the derivative of z with respect to x

   Given y = x^3 and z = y + 4, the derivative is dz/dx = dy/dx = 3x^2.

2. Step 2: Calculate the gradient at x=2.0

   Plugging in x=2, 3 * (2)^2 = 3 * 4 = 12. So, x.grad will be tensor(12.).

3. Final Answer:

   tensor(12.) -> Option B

4. Quick Check:

   Derivative 3x^2 at x=2 = 12 [OK]

Hint: Calculate derivative manually, then plug in x [OK]

Common Mistakes:

• Forgetting to call backward() before accessing .grad
• Calculating derivative incorrectly
• Confusing y and z derivatives

4. You run this code:

import torch
x = torch.tensor(3.0, requires_grad=True)
y = x ** 2
print(x.grad)

But the output is None. Why?

medium

A. You forgot to call y.backward() to compute gradients

B. The tensor x does not require gradients

C. You cannot access gradients of scalar tensors

D. The tensor x is not a float

Solution

1. Step 1: Check if backward() was called

   Gradients are computed only after calling backward() on the output tensor.

2. Step 2: Confirm requires_grad=True and missing backward()

   Since x has requires_grad=True, the missing step is calling y.backward().

3. Final Answer:

   You forgot to call y.backward() to compute gradients -> Option A

4. Quick Check:

   Call backward() before accessing .grad [OK]

Hint: Always call backward() before checking .grad [OK]

Common Mistakes:

• Expecting .grad before backward()
• Confusing requires_grad flag
• Thinking .grad auto-updates without backward()

5. Given this code:

import torch
x = torch.tensor([1.0, 2.0, 3.0], requires_grad=True)
y = (x ** 2).sum()
y.backward()
print(x.grad)

What will be the output of print(x.grad)?

hard

A. None

B. tensor([1., 2., 3.])

C. tensor([1., 4., 9.])

D. tensor([2., 4., 6.])

Solution

1. Step 1: Understand the function and gradient

   The function is y = sum(x_i^2). The gradient of y with respect to x_i is dy/dx_i = 2x_i.

2. Step 2: Calculate gradients for each element

   For x = [1, 2, 3], gradients are [2*1, 2*2, 2*3] = [2, 4, 6].

3. Final Answer:

   tensor([2., 4., 6.]) -> Option D

4. Quick Check:

   Gradient of x^2 is 2x element-wise [OK]

Hint: Gradient of x² is 2x for each element [OK]

Common Mistakes:

• Confusing sum of squares with squares of sums
• Forgetting element-wise gradient
• Expecting None without backward()