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Teleodynamic Learning a new Paradigm For Interpretable AI

arXiv cs.LG / 3/13/2026

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Key Points

  • Teleodynamic Learning introduces a paradigm where learning is the co-evolution of what a system can represent, how it adapts parameters, and which internal resources it can sustain.
  • Learning is formalized as a constrained dynamical process with inner (continuous parameter adaptation) and outer (discrete structural change) dynamics linked by an endogenous resource variable.
  • It identifies phenomena not captured by standard optimization, including self-stabilization without external stopping rules, phase-structured progression from under- to over-structuring, and convergence guarantees based on information geometry rather than convexity.
  • The Distinction Engine (DE11) exemplifies the framework and achieves high test accuracy on Iris, Wine, and Breast Cancer benchmarks, while yielding interpretable rules that arise from the learning dynamics.
  • The approach unifies regularization, architecture search, and resource-bounded inference under one principle, offering a thermodynamically grounded path to adaptive, interpretable, self-organizing AI.

Abstract

We introduce Teleodynamic Learning, a new paradigm for machine learning in which learning is not the minimization of a fixed objective, but the emergence and stabilization of functional organization under constraint. Inspired by living systems, this framework treats intelligence as the coupled evolution of three quantities: what a system can represent, how it adapts its parameters, and which changes its internal resources can sustain. We formalize learning as a constrained dynamical process with two interacting timescales: inner dynamics for continuous parameter adaptation and outer dynamics for discrete structural change, linked by an endogenous resource variable that both shapes and is shaped by the trajectory. This perspective reveals three phenomena that standard optimization does not naturally capture: self-stabilization without externally imposed stopping rules, phase-structured learning dynamics that move from under-structuring through teleodynamic growth to over-structuring, and convergence guarantees grounded in information geometry rather than convexity. We instantiate the framework in the Distinction Engine (DE11), a teleodynamic learner grounded in Spencer-Brown's Laws of Form, information geometry, and tropical optimization. On standard benchmarks, DE11 achieves 93.3 percent test accuracy on IRIS, 92.6 percent on WINE, and 94.7 percent on Breast Cancer, while producing interpretable logical rules that arise endogenously from the learning dynamics rather than being imposed by hand. More broadly, Teleodynamic Learning unifies regularization, architecture search, and resource-bounded inference within a single principle: learning as the co-evolution of structure, parameters, and resources under constraint. This opens a thermodynamically grounded route to adaptive, interpretable, and self-organizing AI.