A language model is generating a response sequence 'y' given an input context 'x'. The model generates the two-token sequence y = ('deep', 'learning'). The model's calculated log-probabilities for each step of the generation are as follows:
- Log-probability of the first token:
log Pr(y₁='deep' | x) = -0.7 - Log-probability of the second token, given the first:
log Pr(y₂='learning' | x, y₁='deep') = -0.4
Based on the standard method for calculating the probability of a full sequence, what is the total conditional log-likelihood of the entire sequence 'y', i.e., log Pr(y|x)?
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Ch.4 Alignment - Foundations of Large Language Models
Foundations of Large Language Models
Foundations of Large Language Models Course
Computing Sciences
Application in Bloom's Taxonomy
Cognitive Psychology
Psychology
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Empirical Science
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A language model is generating a response sequence 'y' given an input context 'x'. The model generates the two-token sequence y = ('deep', 'learning'). The model's calculated log-probabilities for each step of the generation are as follows:
- Log-probability of the first token:
log Pr(y₁='deep' | x) = -0.7 - Log-probability of the second token, given the first:
log Pr(y₂='learning' | x, y₁='deep') = -0.4
Based on the standard method for calculating the probability of a full sequence, what is the total conditional log-likelihood of the entire sequence 'y', i.e.,
log Pr(y|x)?- Log-probability of the first token:
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