Prompt Tuning › Prompt Length Analysis
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Let's empirically examine how prompt length affects optimization on our sentiment task by training models with different prompt lengths under the same deterministic mini-batch protocol. This controlled comparison shows where extra prompt capacity helps on a deliberately small, simple dataset and where its benefit plateaus.
prompt_lengths = [1, 5, 10, 20, 50, 100]
final_losses = []
convergence_speeds = [] # Epochs to reach loss < 0.3
for p_len in prompt_lengths:
# Reset before construction so every prompt length starts from a
# reproducible vocabulary sample and the same pretrained checkpoint.
torch.manual_seed(42)
base_model_temp = AutoModel.from_pretrained(model_name)
model_temp = PromptTuningClassifier(
pretrained_model=base_model_temp,
tokenizer=tokenizer,
num_prompt_tokens=p_len,
num_classes=2,
init_from_vocab=True,
)
# Reset the classifier separately so its initial weights do not depend on
# how many random vocabulary rows the prompt initializer sampled.
torch.manual_seed(43)
model_temp.classifier.reset_parameters()
optimizer = torch.optim.AdamW(
model_temp.parameters(), lr=3e-4, weight_decay=0.01
)
model_temp.train()
convergence_epoch = None
epoch_loss = None
for epoch in range(50):
batch_losses = []
for i in range(0, len(texts), batch_size):
optimizer.zero_grad()
logits = model_temp(
input_ids[i : i + batch_size],
attention_mask[i : i + batch_size],
)
loss = F.cross_entropy(logits, labels_tensor[i : i + batch_size])
loss.backward()
optimizer.step()
batch_losses.append(loss.item())
# Compare prompt lengths using the same full-dataset epoch loss as the
# chapter's main training loop, rather than one arbitrary first batch.
epoch_loss = float(np.mean(batch_losses))
if convergence_epoch is None and epoch_loss < 0.3:
convergence_epoch = epoch + 1
final_losses.append(epoch_loss)
convergence_speeds.append(
convergence_epoch if convergence_epoch is not None else 50
)

All prompt lengths converge on this small repeated sentiment dataset, so the experiment does not establish a universal minimum prompt length. The 1-token configuration converges three epochs later and ends with a visibly higher loss than the others. Increasing the prompt to 5 tokens removes most of that gap; lengths from 5 through 100 behave almost identically. The useful conclusion is the plateau itself: extra prompt capacity can help initially, but once the task's limited complexity is represented, more virtual tokens add parameters and consume context without improving this training objective.
Parameter Efficiency Across Prompt Lengths
embedding_dim = 768
classifier_params = 768 * 2 + 2
# Use the base model loaded earlier to get exact count
base_model_params = sum(p.numel() for p in base_model.parameters())
efficiency_results = []
for p_len in prompt_lengths:
prompt_params = p_len * embedding_dim
total_trainable = prompt_params + classifier_params
efficiency = (total_trainable / base_model_params) * 100
efficiency_results.append((p_len, total_trainable, efficiency))Parameter count by prompt length:
1 tokens: 2,306 params (0.0035% of model)
5 tokens: 5,378 params (0.0081% of model)
10 tokens: 9,218 params (0.0139% of model)
20 tokens: 16,898 params (0.0255% of model)
50 tokens: 39,938 params (0.0602% of model)
100 tokens: 78,338 params (0.1180% of model)
Even with 100 prompt tokens, we are training less than 0.12% of the model's parameters. This extreme parameter efficiency is what makes prompt tuning attractive for scenarios with limited compute or when maintaining many task-specific adaptations. The entire parameter budget for 1,000 different 100-token tasks would be roughly 76.8 million parameters, comparable to storing one additional small base model rather than 1,000 full model copies.