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Period Matching Constraint for RoPE Base Scaling
When using base scaling for position interpolation, the scaling factor is determined by a specific constraint: the period of the new model, particularly in the highest frequency dimension, must be equal to the period of a model using linear positional interpolation. This ensures both methods achieve a comparable effect in extending the context length.
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Ch.3 Prompting - Foundations of Large Language Models
Foundations of Large Language Models
Foundations of Large Language Models Course
Computing Sciences
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Period Matching Constraint for RoPE Base Scaling
Non-Uniform Period Scaling in RoPE Base Scaling
A language model, pre-trained on a maximum sequence length of
L, uses rotary position encodings where the frequencies are derived from a shared base parameter,b. To adapt this model to handle a new, longer maximum sequence length of4Lwhile preserving its relative positional understanding, an engineer decides to modify only the base parameter. How should the new base,b', relate to the original base,b?When a language model's context length is extended by scaling the base parameter of its rotary position embeddings, the rotational period for every dimension of the embedding is increased by the exact same factor.
Mechanism of RoPE Base Scaling
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Period Matching Equation for RoPE Base Scaling
Equation for Matching Periods in RoPE Base Scaling
A team of engineers is adapting a pre-trained language model to handle much longer text sequences. They decide to use a method that involves scaling the base value used in the model's rotational position embeddings. To select the appropriate scaling factor, they must adhere to a specific guiding principle. Which of the following best describes this principle?
Selecting a RoPE Base Scaling Factor
When adapting a language model for longer sequences by scaling its rotational position embedding base, the guiding constraint is to match the period of the lowest frequency dimension in the scaled model to the period of a model using linear interpolation.