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  • Implication of an Impossible Initial Event

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Case Study

Language Model Debugging Scenario

Based on the principles of calculating the probability of a sequence, explain why the single error described in the case study prevents the model from generating any output at all.

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Updated 2025-10-02

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Ch.2 Generative Models - Foundations of Large Language Models

Foundations of Large Language Models

Foundations of Large Language Models Course

Computing Sciences

Analysis in Bloom's Taxonomy

Cognitive Psychology

Psychology

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Related
  • A language model calculates the joint probability of a sequence of events (e.g., words) by multiplying the probability of the first event by the conditional probabilities of each subsequent event. Given the following probabilities for a three-event sequence (x₀, x₁, x₂), what is the joint probability of the entire sequence?

    • Probability of the first event, Pr(x₀) = 0.0
    • Probability of the second event given the first, Pr(x₁|x₀) = 0.4
    • Probability of the third event given the first two, Pr(x₂
  • A language model is generating a sequence of words. The first word has a probability of 0. However, the conditional probabilities for all subsequent words in the sequence are very high (e.g., 0.99 for each). In this scenario, the high probabilities of the later words can overcome the initial zero probability, resulting in a non-zero joint probability for the entire sequence.

  • Explaining Zero Probability Sequences

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