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CosineAnnealingLR in PyTorch - Interactive Code Practice

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Practice - 5 Tasks
Answer the questions below
1fill in blank
easy

Complete the code to create a CosineAnnealingLR scheduler with 10 epochs.

PyTorch
scheduler = torch.optim.lr_scheduler.[1](optimizer, T_max=10)
Drag options to blanks, or click blank then click option'
ACosineAnnealingLR
BReduceLROnPlateau
CExponentialLR
DStepLR
Attempts:
3 left
💡 Hint
Common Mistakes
Choosing StepLR or ExponentialLR instead of CosineAnnealingLR.
2fill in blank
medium

Complete the code to update the learning rate scheduler after each epoch.

PyTorch
for epoch in range(20):
    train()
    validate()
    [1]
Drag options to blanks, or click blank then click option'
Aoptimizer.update()
Bscheduler.update()
Coptimizer.step()
Dscheduler.step()
Attempts:
3 left
💡 Hint
Common Mistakes
Calling optimizer.step() instead of scheduler.step().
Using a non-existent scheduler.update() method.
3fill in blank
hard

Fix the error in the scheduler initialization to correctly set the minimum learning rate to 0.001.

PyTorch
scheduler = torch.optim.lr_scheduler.CosineAnnealingLR(optimizer, T_max=50, [1]=0.001)
Drag options to blanks, or click blank then click option'
Aeta_min
Bmin_lr
Cmin_learning_rate
Dlr_min
Attempts:
3 left
💡 Hint
Common Mistakes
Using min_lr or min_learning_rate which are invalid parameters.
4fill in blank
hard

Fill both blanks to create a scheduler that restarts every 30 epochs and sets minimum learning rate to 0.

PyTorch
scheduler = torch.optim.lr_scheduler.[1](optimizer, T_max=[2], eta_min=0)
Drag options to blanks, or click blank then click option'
ACosineAnnealingLR
BStepLR
C30
D50
Attempts:
3 left
💡 Hint
Common Mistakes
Using StepLR instead of CosineAnnealingLR.
Setting T_max to 50 instead of 30.
5fill in blank
hard

Fill all three blanks to print the learning rate at each epoch during training with CosineAnnealingLR.

PyTorch
for epoch in range(40):
    train()
    validate()
    scheduler.[1]()
    lr = scheduler.optimizer.param_groups[[2]]['[3]']
    print(f"Epoch {epoch+1}: lr = {lr}")
Drag options to blanks, or click blank then click option'
Astep
B0
Clr
Dzero
Attempts:
3 left
💡 Hint
Common Mistakes
Using 'zero' instead of 'lr' as the key.
Accessing param_groups[1] which may not exist.

Practice

(1/5)
1. What is the main purpose of using CosineAnnealingLR in PyTorch training?
easy
A. To stop training early when accuracy is high
B. To increase the batch size during training
C. To smoothly adjust the learning rate in a wave-like pattern
D. To shuffle the training data every epoch

Solution

  1. Step 1: Understand the role of learning rate schedulers

    Learning rate schedulers adjust the learning rate during training to improve convergence.
  2. Step 2: Identify what CosineAnnealingLR does

    CosineAnnealingLR changes the learning rate smoothly following a cosine curve, avoiding sudden jumps.
  3. Final Answer:

    To smoothly adjust the learning rate in a wave-like pattern -> Option C
  4. Quick Check:

    CosineAnnealingLR = smooth wave learning rate [OK]
Hint: CosineAnnealingLR changes learning rate smoothly like a wave [OK]
Common Mistakes:
  • Thinking it changes batch size
  • Confusing it with early stopping
  • Assuming it shuffles data
2. Which of the following is the correct way to create a CosineAnnealingLR scheduler in PyTorch with a cycle length of 10 epochs and minimum learning rate 0.001?
easy
A. scheduler = torch.optim.lr_scheduler.CosineAnnealingLR(optimizer, T_max=10, eta_min=0.001)
B. scheduler = torch.optim.lr_scheduler.CosineAnnealingLR(optimizer, max_T=10, min_lr=0.001)
C. scheduler = torch.optim.lr_scheduler.CosineAnnealingLR(optimizer, T_max=10)
D. scheduler = torch.optim.lr_scheduler.CosineAnnealingLR(optimizer, T_max=10, min_lr=0.001)

Solution

  1. Step 1: Check the official PyTorch parameter names

    The correct parameters are T_max for cycle length and eta_min for minimum learning rate.
  2. Step 2: Match parameters with options

    scheduler = torch.optim.lr_scheduler.CosineAnnealingLR(optimizer, T_max=10, eta_min=0.001) uses T_max=10 and eta_min=0.001, which is correct syntax.
  3. Final Answer:

    scheduler = torch.optim.lr_scheduler.CosineAnnealingLR(optimizer, T_max=10, eta_min=0.001) -> Option A
  4. Quick Check:

    Use T_max and eta_min parameters [OK]
Hint: Use T_max and eta_min exactly as parameter names [OK]
Common Mistakes:
  • Using wrong parameter names like max_T or min_lr
  • Omitting eta_min when needed
  • Swapping parameter order incorrectly
3. Given the code below, what will be the learning rate after 5 calls to scheduler.step() if initial lr is 0.1, T_max=10, and eta_min=0?
optimizer = torch.optim.SGD(model.parameters(), lr=0.1)
scheduler = torch.optim.lr_scheduler.CosineAnnealingLR(optimizer, T_max=10, eta_min=0)
for _ in range(5):
    scheduler.step()
print(optimizer.param_groups[0]['lr'])
medium
A. 0.0
B. Approximately 0.0707
C. 0.1
D. 0.05

Solution

  1. Step 1: Understand CosineAnnealingLR formula

    Learning rate after t calls to step() is: eta_min + 0.5*(initial_lr - eta_min)*(1 + cos(pi * t / T_max))
  2. Step 2: Calculate learning rate at t=5

    lr = 0 + 0.5*0.1*(1 + cos(pi*5/10)) = 0.05*(1 + cos(pi/2)) = 0.05*(1 + 0) = 0.05 exactly.
  3. Final Answer:

    0.05 -> Option D
  4. Quick Check:

    Cosine formula at step 5 = 0.05 [OK]
Hint: Use cosine formula: lr = eta_min + 0.5*(lr0 - eta_min)*(1+cos(pi*t/T_max)) at t=5 = 0.05 [OK]
Common Mistakes:
  • Assuming lr stays constant
  • Confusing step count indexing
  • Ignoring eta_min in calculation
  • Miscalculating to ~0.0707
4. Identify the error in the following code snippet using CosineAnnealingLR:
optimizer = torch.optim.Adam(model.parameters(), lr=0.01)
scheduler = torch.optim.lr_scheduler.CosineAnnealingLR(optimizer, T_max=5)
for epoch in range(10):
    train()
    scheduler.step()
medium
A. scheduler.step() should be called before train()
B. No error, code is correct
C. T_max should be equal to total epochs (10) not 5
D. Learning rate should be set to 0.1 for Adam optimizer

Solution

  1. Step 1: Understand scheduler.step() timing

    Standard PyTorch practice is to call scheduler.step() after train() to update LR for the next epoch.
  2. Step 2: Verify the code

    The loop trains with current LR then steps, which is correct. T_max=5 works for 10 epochs as the schedule continues.
  3. Final Answer:

    No error, code is correct -> Option B
  4. Quick Check:

    train() then scheduler.step() [OK]
Hint: Call scheduler.step() after train() [OK]
Common Mistakes:
  • Thinking step() goes before train()
  • Requiring T_max = total epochs
  • Dictating specific LR for Adam
5. You want to train a model for 50 epochs using CosineAnnealingLR with 2 cycles of learning rate decay. How should you set T_max and why?
hard
A. Set T_max=25 to have two full cosine cycles over 50 epochs
B. Set T_max=50 to have one full cosine cycle over 50 epochs
C. Set T_max=100 to have half a cosine cycle over 50 epochs
D. Set T_max=10 to have five full cosine cycles over 50 epochs

Solution

  1. Step 1: Understand T_max meaning

    T_max is the number of epochs for one full cosine cycle of learning rate decay.
  2. Step 2: Calculate T_max for 2 cycles in 50 epochs

    To have 2 cycles in 50 epochs, each cycle should last 25 epochs, so T_max=25.
  3. Final Answer:

    Set T_max=25 to have two full cosine cycles over 50 epochs -> Option A
  4. Quick Check:

    Two cycles = total epochs / 2 = 25 [OK]
Hint: Divide total epochs by number of cycles for T_max [OK]
Common Mistakes:
  • Setting T_max equal to total epochs for multiple cycles
  • Confusing half and full cycles
  • Choosing T_max larger than total epochs