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Primitive Kolmogorov complexity is computable

/ 5 min read This post is mostly AI generated, of course with significant guidance, feedback, iteration and some edits from me. There was little for me to gain writing this myself, but I felt it needed to be written down regardless. Kolmogorov complexity and Solomonoff's theory of inductive inference offer formal, theoretical solutions to measuring complexity and forming predictions. However, both are uncomputable, a fact that is often treated as having significant implications in computabilit

Sparse Voxels Rasterization: Real-Time High-Fidelity Radiance Field Rendering

Our scene representation is a hybrid of primitive and volumetric model. (a) Primitive component. We explicitly allocate voxels primitives to cover different scene level-of-details under an Octree layout. Note that we do not replicate a traditional Octree data structure with parent-child pointers or linear Octree. We only keep voxels at the Octree leaf nodes without any ancestor nodes. (b) Volumetric component. Inside a voxel is a volumetric (trilinear) density field and a (constant) spherical ha