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New paper details how cross-entropy training shapes transformer attention

Researchers have analyzed how cross-entropy training shapes attention scores and value vectors within transformer attention heads. Their work introduces an advantage-based routing law for attention scores and a responsibility-weighted update for values. This mechanism creates a feedback loop where queries and values specialize together, enabling transformers to perform precise probabilistic reasoning. AI

Summary written by gemini-2.5-flash-lite from 1 source. How we write summaries →

IMPACT Explains the internal geometry that enables transformers to perform probabilistic reasoning, offering insights into model interpretability.

RANK_REASON The cluster contains an academic paper detailing novel research findings. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv stat.ML →

COVERAGE [1]

  1. arXiv stat.ML TIER_1 · Naman Agarwal, Siddhartha R. Dalal, Vishal Misra ·

    Gradient Dynamics of Attention: How Cross-Entropy Sculpts Bayesian Manifolds

    arXiv:2512.22473v5 Announce Type: replace Abstract: Transformers empirically perform precise probabilistic reasoning in carefully constructed ``Bayesian wind tunnels'' and in large-scale language models, yet the mechanisms by which gradient-based learning creates the required int…