Author

P. Rola

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#machine learning Preprint Oct 2026

An equality condition for the Dobrushin bound on attention rollout and how often it holds in trained transformers

The Dobrushin coefficient of each attention-rollout factor satisfies $\kappa(\frac12(I+A))\le\frac12(1+\kappa(A))$, and multiplying these inequalities over layers bounds the coefficient of the whole rollout. We characterise exactly when the layerwise bound is tight: equality holds if and only if some token pair attaini...

P. Rola · 0 citations

Jul 2026

EntroPath: Maximum Entropy Path Ensemble Embedding for Manifold Learning

EntroPath is introduced, a manifold learning method that recovers geodesic geometry from data graphs through ensembles of diffusion paths that consistently matches or outperforms diffusion- and shortest-path-based methods, while remaining competitive with neighbourhood-preserving embeddings on local-structure metrics.

P. Rola · arXiv.org · 0 citations