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Self-Supervision, Manifold Saturation, and Emergent Operational Classes

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Learning from Scarce Observations as Inverse Recovery of Compact Functional Structure

https://scholar.colorado.edu/concern/reports/fn107102t
Abstract
  • The central claim is that learning from scarce observations is not primarily a supervised
    classification problem, but an inverse recovery problem over compact functional structures.
    In this view, classes are not necessarily predefined labels. They may emerge as stable
    compact manifolds or submanifolds in an appropriate representation space. Once these
    structures stabilize, expert feedback can assign semantic or physical meaning to them: nor-
    mal operation, friction, heat, harmless variation, degradation, emerging fault, or unknown
    regime.

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  • 2026-06-24
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