Unified Adaptation Theorem
Convergence of Composed Adaptive Systems via Interaction Matrices and Higher-Order Convergence Diagnostics. 36 theorems, 25 novel mechanisms, cross-domain validation across optimisation, game theory, chaos detection, belief networks, GANs, and compiler scheduling.
Rod Higgins · March 2026 · Senuamedia
Read paper →A Holistic Scaffold Framework for Navier-Stokes Regularity
Computational evidence from Galerkin truncations at 6 to 24 modes. A coupled diagnostic \(H\) monitors enstrophy, convergence, and fragility simultaneously. The regularity threshold \(A^*\) converges to 0.347 by 16 modes. The enstrophy doubling-time criterion achieves 94.6% accuracy with 14/14 perfect classification. The scaling law \(\alpha = 2.0\) holds exactly at every mode count. All 103 experiments are reproducible in Simplex.
Rod Higgins · March 2026 · Senuamedia
Adversarial Regularisation: A Universal Optimization Principle
Cross-domain evidence that partial opposition improves outcomes in belief calibration, game theory, GANs, annealing schedules, and manifold optimization. Mathematical formulation via interaction matrices; connections to L2 regularisation, simulated annealing, and mutation.
Rod Higgins · March 2026 · Senuamedia
Read paper →Citation
@article{higgins2026unified,
title = {Unified Adaptation Theorem: Convergence of Composed
Adaptive Systems via Interaction Matrices and
Higher-Order Convergence Diagnostics},
author = {Higgins, Rod},
year = {2026},
url = {https://lab.senuamedia.com/papers/unified-adaptation-theorem.html}
}
@article{higgins2026scaffold,
title = {A Holistic Scaffold Framework for Navier--Stokes
Regularity: Computational Evidence from Galerkin
Truncations at 6 to 24 Modes},
author = {Higgins, Rod},
year = {2026},
url = {https://lab.senuamedia.com/papers/ns-regularity-scaffold.pdf}
}
@article{higgins2026adversarial,
title = {Adversarial Regularisation: A Universal Optimization
Principle},
author = {Higgins, Rod},
year = {2026},
url = {https://lab.senuamedia.com/papers/adversarial-regularisation.html}
}