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It is shown that the onset of entropy degradation separates the two main GNN failure modes: structural mismatch under heterophily, which appears from the earliest layers even in shallow models, and excessive-depth oversmoothing, which emerges only as propagation depth increases.
This work introduces answer-distribution trajectories, a stochastic-dynamics-inspired representation that tracks the model's full predictive distribution over answers as reasoning unfolds, and suggests that answer-distribution trajectories provide a rich framework for analysing and evaluating the dynamics of LLM reason...
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