Token Sampling from a Conditional Probability Distribution
In autoregressive text generation, after computing the conditional probability distribution for the next token, , the next step is to draw a sample from it. This sampling process, which selects a specific token , is formally expressed as drawing from the distribution:

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Ch.5 Inference - Foundations of Large Language Models
Foundations of Large Language Models
Foundations of Large Language Models Course
Computing Sciences
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Token Sampling from a Conditional Probability Distribution
Calculating Next-Token Probability
An autoregressive model is generating a sequence and has computed the following unnormalized scores (logits) for three candidate next tokens: Token A (3.0), Token B (1.0), and Token C (0.0). If a constant value of 10.0 is added to each of these three logits before the final probability normalization step, how will the resulting conditional probabilities for the tokens be affected?
An autoregressive language model calculates unnormalized scores (logits) for a set of candidate next tokens. These scores are then transformed into a probability distribution. What is the primary reason for applying an exponential function to each logit before the final normalization step?
Next Token Prediction Task
Token Sampling from a Conditional Probability Distribution
Using Temperature with Softmax to Control Randomness in Token Selection
A language model is generating text and has produced the sequence 'The sky is'. It then calculates the following probability distribution for the next potential token:
{'blue': 0.75, 'green': 0.15, 'bright': 0.08, 'falling': 0.02}. If the model is configured to always select the single token with the highest probability, which token will it choose next?Analyzing Token Selection Strategies
A language model is generating text and encounters the same input sequence on two separate occasions, producing two different probability distributions for the next token, shown below.
- Distribution A:
{'meal': 0.90, 'dish': 0.05, 'surprise': 0.03, 'error': 0.02} - Distribution B:
{'soup': 0.30, 'stew': 0.25, 'salad': 0.22, 'dessert': 0.23}
Which of the following statements provides the most accurate analysis of these two distributions regarding the token selection process?
- Distribution A:
To ensure the generated text is as coherent and factually accurate as possible, a language model must always select the single token with the highest probability from the distribution at each step of the generation process.
Token Sampling from a Conditional Probability Distribution
Temperature-Scaled Softmax for Renormalized Probability
A language model has calculated the following raw scores (logits) for the next potential token:
{'mat': 3.0, 'rug': 2.5, 'chair': 2.0, 'moon': -1.0}. To control the randomness of the output, a temperature parameter is applied to these scores before they are converted into a final probability distribution for sampling. Which of the following probability distributions most likely resulted from applying a low temperature (e.g., a value less than 1.0)?Troubleshooting a Factual Chatbot's Output
You are configuring a text generation model for different tasks. Match each task with the description of the temperature setting that would be most appropriate to achieve the desired output.
Token Sampling from a Conditional Probability Distribution
A language model is calculating the next token's probability distribution over a set of four candidate tokens. The raw output scores (logits) for these tokens are: {Token A: 4.0, Token B: 3.8, Token C: 1.5, Token D: 1.2}. The current generation process uses a temperature parameter
β = 1.0. A developer wants to modify the process to make the model's output less predictable and increase the likelihood of selecting Token B relative to Token A. Which of the following adjustments to the temperature parameterβwould best achieve this goal?Effect of Temperature on Probability Distributions
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Learn After
Formula for Token Sampling in Autoregressive Models
Applying Token Sampling in Text Generation
An autoregressive language model has processed the input sequence 'The cat sat on the' and has calculated the following conditional probability distribution for the next token: P('mat'|context) = 0.6, P('rug'|context) = 0.3, P('floor'|context) = 0.08, P('sky'|context) = 0.02. If the model then samples a token from this distribution, which of the following statements is most accurate?
In autoregressive text generation, after the model computes the conditional probability distribution for the next token, the sampling process always selects the token with the highest probability score.