Space Is Intelligence: Neural Semigroup Superposition for Riemannian Metric Generation
Traditional approaches place intelligence in the agent, whether as a learned policy or a search procedure. We instead place intelligence in the space itself: a scene induces a Riemannian metric on the configuration manifold, and action reduces to following the geodesics of that metric rather than invoking a separate planner or collision checker. A single Encoder-Router network realizes this idea through three complementary parameter groups -- frame parameters that orient the generators, modulation parameters that govern their spatial propagation, and basic coefficients that determine their strength. These groups combine through a shared semigroup-superposition mechanism to produce a singl...
| Authors | Chenghao Xu |
|---|---|
| Primary category | cs.RO |
| Published | 17 June 2026 |
| Last updated at source | 17 June 2026 |
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