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Paper · arXiv

Interaction Locality in Hierarchical Recursive Reasoning

Spatial reasoning requires both location-bound computation and location-invariant structure: agents must make local moves while preserving route, object, or constraint-level plans. We propose interaction locality, a task-geometry-aware framework for measuring whether information flow stays within nearby cells or semantic segments, or crosses them. We instantiate the framework with sparse-autoencoder feature ablations and finite-noise activation patching, with structural Jacobian and attention checks reported in the appendix, and apply it to HRM and TRM, two compact hierarchical and recursive reasoning models, on Maze-Hard, Sudoku Extreme, and ARC-AGI. Across these models, activation patch...

AuthorsYosuke Miyanishi, Tetsuro Morimura
Primary categorycs.AI
Published20 May 2026
Last updated at source20 May 2026
cs.AIcs.LG
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