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Comfrey RRM Model: Geometric Recursive Reasoning with Self-Learning and agentic binning steering model for evals

Authors: Brahim, Brahim; Shillington;

Comfrey RRM Model: Geometric Recursive Reasoning with Self-Learning and agentic binning steering model for evals

Abstract

We introduce Comfrey GRRM, a framework that makes large language model(LLM) inference geometry-aware, depth-adaptive, and self-correcting at inferencetime and during geometry-aware training. Current transformer architectures areunable to fully utilize the embedding space because their reliance on Euclideangeometry is ill-suited to the inherently hyperbolic structure of language representations.As a result, large regions of the representational landscape remain unexploredduring both training and inference. Our geometry-aware approach provides accessto these previously unreached spaces.The methodological centrepiece is Wavelet-Scale PCA ():, where layers are units,geometric feature signals are distributional variables, and wavelet coefficient distributionsover ordered frequency scales are the bin vectors. The classical Tchebychevinterval step is replaced by an Entropy-Modulated Wavelet Interval whosehalf-width t σij(1+Pij Hij η) is modulated by Shannon entropy of the scale-energydistribution, with a Bayesian logistic probability penalised by λ = −t log N+1N .The wavelet substrate is the Brahimian Wavelet Family: divergence-free curlwavelets in d-dimensional embedding space with exact Z/3Z cyclic symmetry. Fivegeometric signals (Kirchhoff temporal tension, IRQ Ricci curvature, GPS geodesicconsistency, Boltzmann free energy, IRQ algebraic coherence) assemble into a 9-dimensional ManifoldState m ∈ [0, 1]9.A Recursive Thinking Module (, [14]) injects m into the first token embeddingbetween depth steps of an Adaptive Computation Time loop. A Recursive Language1© 2026 CC BY-NC-ND 4.0Model Decomposer (, [11]) breaks hard queries into sub-questions solved independentlyby . A Parallel Engine runs Ollama and HuggingFace backends simultaneouslyand selects the geometrically superior answer. A Verifier (self-consistency,constraint checking, entailment hardening) validates every answer before return. AGeometric Hypernetwork maps m to per-layer LoRA deltas; Geometric uses themanifold signals as label-free reward components. An Episodic Geometric Memoryaccumulates episodes and retrieves the nearest LoRA adapter at inference time.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average