This research paper introduces a novel approach to soft state representations in artificial intelligence, assigning each state a vector of non-negative class weights that sum to one. The study derives a finite-sample lower confidence bound on prediction error, which can rule out certain prediction tolerances for matrices with specified spectral-norm limits. The paper also establishes a Koopman and reproducing-kernel Hilbert-space adjoint interpretation under exact deterministic linear evolution, accounting for redundant coefficient vectors. Empirical evaluations compare the confidence bound with known optima across numerous datasets and explore coordinate variation, prediction targets, and long-horizon error. AI
IMPACT Introduces theoretical advancements in AI prediction accuracy and state representation.
RANK_REASON The cluster contains a single academic paper submission to arXiv. [lever_c_demoted from research: ic=1 ai=1.0]
- alphaXiv
- arXiv
- CatalyzeX Code Finder for Papers
- DagsHub
- Gotit.pub
- Hugging Face
- Kernel Affine Hull Machines
- Mohit Kumar
- ScienceCast
- van der Pol
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