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Top-k Sampling Process
Top-k sampling is a decoding method for selecting the next token in a sequence by sampling from a reduced set of the most likely options. The process consists of several steps:
- Ranking: All potential next tokens from the vocabulary are ranked according to their predicted probabilities.
- Selection (Top-k): The vocabulary is truncated to include only the 'k' tokens with the highest probabilities. All other lower-probability tokens are discarded or 'pruned'. For example, if k=3, only the top three candidates are kept.
- Renormalization & Sampling: The probabilities of the selected top-k tokens are recalculated (renormalized) to sum to 1. A final token is then chosen by sampling from this new, smaller probability distribution. This introduces randomness among the most plausible choices. For instance, after ranking, the top 3 tokens might be 'cute' (Pr=0.34), 'on' (Pr=0.32), and 'sick' (Pr=0.21). After renormalization, their probabilities might become 'cute' (Pr=0.39), 'on' (Pr=0.36), and 'sick' (Pr=0.25). Sampling from this new distribution might then select 'on' as the final output.

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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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Top-k Sampling Process
Comparison of Top-p and Top-k Sampling
A language model is generating text and has calculated the following probabilities for potential next tokens:
mat(0.45),rug(0.25),floor(0.15),table(0.10), andwindow(0.03). If the model uses a decoding strategy where it first identifies the 3 most probable tokens and then randomly samples one token from only that reduced group, which of the following statements is true?Effect of Candidate Pool Size on Text Generation
A language model is configured to generate text by first selecting a fixed number of the most probable next tokens and then sampling from only that reduced set. If the fixed number of tokens to consider is significantly decreased (e.g., from 100 to 5), what is the most likely impact on the generated text?
argTopK Function
Definition of the Top-k Selection Pool
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Softmax Renormalization in Top-k Sampling
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Example of Top-k Sampling with k=3
Top-k Selection Pool
Probability Renormalization Formula for Restricted Vocabulary Sampling
Probability Renormalization Formula for Top-k Sampling
A language model is generating the next word in a sequence and has calculated the initial probabilities for the five most likely candidates:
the(0.4),a(0.2),one(0.1),his(0.05), andher(0.05). If the model uses a sampling strategy where it only considers the top 3 most likely candidates (k=3), what will be the new, rescaled probability distribution for this reduced set of candidates from which the final word will be sampled?Arrange the following actions into the correct sequence that describes the process of selecting the next token in a text generation model using the top-k sampling method.
Analyzing Text Generation Outputs