arXiv Machine Learning

Phase Transitions in Attention: A Bayesian Theory of Copy Head Emergence

arXiv:2606. 12058v1 Announce Type: cross Abstract: Attention is the key mechanism underlying in-context learning in transformers, and attention patterns have been observed empirically to emerge abruptly during training.

arXiv Machine Learning
Jul 7

Incremental Learning of Sparse Attention Patterns in Transformers

arXiv:2602. 19143v2 Announce Type: replace Abstract: This paper studies simple transformers trained on a high-order Markov chain, where the model must incorporate information from multiple past positions, each with different statistical importance.

By O\u{g}uz Kaan Y\"uksel, Rodrigo Alvarez Lucendo, Nicolas Flammarion
arXiv Machine Learning
Jun 25

Emergent Capabilities Arise Randomly from Learning Sparse Attention Patterns

arXiv:2606. 25010v1 Announce Type: new Abstract: Neural scaling laws for transformer language models predict smooth improvements in pretraining loss with increasing parameters, but downstream capabilities such as in-context learning are known to emerge abruptly past a certain model scale.

By Vatsal Baherwani, Zixi Chen, Shikai Qiu, Andrew Gordon Wilson, Pavel Izmailov
arXiv Machine Learning
Sep 10

Conditioned Initialization for Attention

arXiv:2609.07086v1 Announce Type: new Abstract: Transformers are a dominant architecture in modern machine learning, powering applications across vision, language, and beyond. At the core of their su...

By Hemanth Saratchandran, Simon Lucey
arXiv Machine Learning
Jul 31

Critical attention scaling in long-context transformers

arXiv:2510. 05554v2 Announce Type: replace Abstract: As large language models scale to longer contexts, attention layers suffer from a fundamental pathology: attention scores collapse toward uniformity as context length $n$ increases, causing tokens to cluster excessively, a phenomenon known as rank-collapse.

By Shi Chen, Zhengjiang Lin, Yury Polyanskiy, Philippe Rigollet
arXiv Machine Learning
1d ago

Universal interpolation for deep residual self-attention networks

The paper proves that deep residual self‑attention networks can universally interpolate between any two collections of sequences using only two fixed single‑head attention blocks with Gaussian‑initialized projections. The interpolation is achieved by varying the order, signs, and durations of these blocks, independent of the specific input and output sequences. The result holds for both continuous and finite depth, and the authors also extend the analysis to causal‑masked settings.

By Sibylle Marcotte, Joan Bruna