Blend original and divided YaRN frequency schedules

Read the equation

The source uses inv_freq_mask as the weight on the original schedule and its complement as the weight on the divided schedule. Since inv_freq_mask=1−ramp, this is freq_interramp+freq_extra(1−ramp). Each intermediate frequency lies between its two schedules for a mask in[0,1].

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

Read the definition from its right-hand expression to the quantity on the left. Its surrounding source records the intended input, state, or parameter context. Where the source leaves an operation unspecified, this page preserves that gap.

Assumptions & limits

Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.

Original context

)
        inv_freq_mask = 1.0 - yarn_linear_ramp_mask(low, high, dim // 2).to(
            device=device, dtype=torch.float32)
        inv_freq = freq_inter * (1 -
                                 inv_freq_mask) + freq_extra * inv_freq_mask
        self.register_buffer("inv_freq", inv_freq, persistent=False)

        t = torch.arange(seq_len, device=device, dtype=torch.float32)

inv_freq = freq_inter * (1 -
                                 inv_freq_mask) + freq_extra * inv_freq_mask

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