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LLM Next-Token Sampling Lab: Exploring Temperature, Top-k, Top-p and Entropy

This interactive lab provides a deep dive into the decoding process of language models through various sampling techniques.

mysimulator teamUpdated June 2026≈ 4 min read▶ Open the simulation

What Next-Token Sampling Is

Next-token sampling is a crucial step in the decoding process of language models where the model predicts the most likely next word given the current context. This prediction is made by applying various techniques such as temperature scaling, top-k and top-p (nucleus) filtering, entropy minimization, perplexity checks, chi-square tests, Gumbel-max equivalence, and repetition penalty.

These methods help in generating more diverse or focused outputs based on the model's internal probabilities and external constraints.

Why It Matters

Understanding next-token sampling is essential for optimizing language models to produce coherent and contextually relevant text. By adjusting parameters like temperature, top-k, and top-p, researchers can control the model's creativity and adherence to the training data.

Entropy and perplexity measures provide insights into the predictability of the model’s output, while chi-square tests help in assessing the goodness-of-fit between predicted distributions and actual data.

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How It Works

The process begins with the model generating a probability distribution over all possible next tokens. This distribution is then manipulated using techniques like temperature scaling, which smooths or sharpens the probabilities; top-k and top-p filtering, which restricts the set of candidate tokens based on their likelihood; and repetition penalty, which discourages the same token from being repeated.

Entropy measures the uncertainty in this distribution, while perplexity quantifies how well the model predicts a held-out dataset. Gumbel-max equivalence tests ensure that these sampling methods produce similar results.

Real-World Applications

Next-token sampling is widely used in applications such as chatbots, text generation for creative writing, and even in generating summaries or translations. By fine-tuning the parameters of next-token sampling, developers can tailor the model's output to specific needs.

For instance, a chatbot might use top-k filtering to ensure that it only suggests responses that are most relevant to the conversation, while maintaining diversity.

Frequently asked questions

What is temperature scaling in next-token sampling?

Temperature scaling adjusts the probabilities of the predicted tokens by raising them to a power determined by the temperature value. A higher temperature makes the distribution more uniform, while a lower temperature concentrates the probability on the most likely tokens.

How does top-k and top-p filtering work?

Top-k filtering selects only the k most probable tokens for consideration, discarding less likely ones. Top-p (nucleus) filtering, on the other hand, retains tokens whose cumulative probability exceeds a certain threshold p, ensuring that the selected set of tokens still covers a significant portion of the distribution.

What is entropy in this context?

Entropy measures the uncertainty or randomness in the next-token prediction. A higher entropy indicates more unpredictability in the model's output, while lower entropy suggests that the model is more confident about its predictions.

Why use perplexity checks?

Perplexity provides a measure of how well the model predicts a held-out dataset. Lower perplexity indicates better performance, as it means the model's predictions are closer to the actual data distribution.

Try it live

Everything above runs in your browser — open LLM Next-Token Sampling Lab: Temperature, Top-k, Top-p and Entropy and change the parameters while it is running. Nothing is installed, nothing is uploaded, the whole model lives in one tab.

▶ Open LLM Next-Token Sampling Lab: Temperature, Top-k, Top-p and Entropy simulation

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