Equation 12 · Part 1 · How Multimodal Models Actually Handle Video, Audio, and Space
Symbol R
What this part means
the bitrate.
Its job in the formula
R is part of the quantity the equation computes from the expression on the right.
Full expression→Symbol R→Article meaning
Where the article explains it
For a signal sampled at hertz, encoded with hop length h samples per frame, and quantized with residual stages of codebook size K each, the bitrate is
The passage around this formula
The mechanism that does this at scale is a learned neural codec built around residual vector quantization: an encoder compresses the waveform into a sequence of continuous frames, and each frame is then quantized in successive stages, each stage encoding what the previous stage’s codebook missed. SoundStream is the reference architecture, described by its authors as an end-to-end neural audio codec built on a convolutional encoder-decoder pair with a residual vector quantizer, trained jointly and shown to outperform prior codecs at comparable bitrates [ 7 ] . The mechanism gives a concrete, computable token rate. For a signal sampled at hertz, encoded with hop length h samples per frame,…
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Sources cited in the surrounding passage
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