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Graph Machine: Exploring Edge Mechanisms as an Inductive Bias

arXiv cs.LG ↗ · 2026-08-10 Cached

This paper introduces Graph Machine, an architecture with explicit edge-based mechanisms (edge-augmented attention and edge-centric referral) to improve iterative relational reasoning. Experiments on Sudoku show it outperforms Transformer baselines, with ablations and mechanistic analysis attributing gains to the edge mechanisms.

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