An engineer is implementing a transformer model with an embedding dimensionality of d = 512. For the positional information, they use a method where frequency parameters θ_k are calculated using the formula: θ_k = 10000^(-2(k-1)/d). What is the correct value for the frequency parameter θ_k where the component index is k = 129?

Consider the formula for calculating frequency parameters in a positional embedding scheme: θ_k = 10000^(-2(k-1)/d), where d is the embedding dimension and k is the component index. According to this formula, as the component index k increases, the value of the frequency parameter θ_k also increases.

Impact of Base Value on Frequency Parameters