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Author

Casey Lee Race

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#edge computing Open access Aug 2026

Betti Numbers as Cognitive Integrity Metrics: Topological Health Diagnostics for Deterministic Memory Systems

We introduce the Cognitive Integrity Score (CIS), an operational, real-time topological health diagnostic for deterministic simplicial associative memory networks. In parallel with significant advances in uncertainty quantification, semantic entropy, process-supervised verification, and metacognitive reinforcement lear...

Casey Lee Race, Inc. Calera Computing · 0 citations
#diffusion models Open access Aug 2026

The Lattice Octave: A Characteristic-Delay Model and Growth-Rate Partition on Simplicial Lattices

We demonstrate that the algebraic polynomial family xd = x + 1 (for integer d ≥ 2), whose roots are known as generalized golden ratios, characterizes dual-channel boundary-bulk energy transport on d-dimensional simplicial lattices under a dominant characteristic-delay model. We formulate and prove the Face-Poset Delay...

Casey Lee Race, Inc. Calera Computing · 0 citations

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