Equation 14 · How Multimodal Models Actually Handle Video, Audio, and Space
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volume density, is emitted colour. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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where is volume density, is emitted colour, and T(t) is accumulated transmittance along the ray up to t . There is no patch, no voxel grid, no fixed token count anywhere in this formulation — the scene is a function evaluated at query points, and any tokenization of it for a downstream language model has to be imposed afterward, by sampling the field at a chosen resolution, which reintroduces exactly the resolution-versus-cost trade video and audio already face.
Sources cited in the article section
- [8] NeRF: Representing Scenes as Neural Radiance Fields for View Synthesis ↗
- [9] ImageBind: One Embedding Space To Bind Them All ↗
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