Transformers with Selective Access to Early Representations

Skye Gunasekaran, Téa Wright, Rui-Jie Zhu, Jason Eshraghian
5/5/2026
cs.LGcs.CL

Official code: SkyeGunasekaran/SATFormer (1 star, last commit 2026-05-08).

Abstract

Several recent Transformer architectures expose later layers to representations computed in the earliest layers, motivated by the observation that low-level features can become harder to recover as the residual stream is repeatedly transformed through depth. The cheapest among these methods add static value residuals: learned mixing coefficients that expose the first-layer value projection V_1 uniformly across tokens and heads. More expressive dense or dynamic alternatives recover finer-grained access, but at higher memory cost and lower throughput. The usefulness of V_1 is unlikely to be constant across tokens, heads, and contexts; different positions plausibly require different amounts of access to early lexical or semantic information. We therefore treat early-representation reuse as a retrieval problem rather than a connectivity problem, and introduce Selective Access Transformer (SATFormer), which preserves the first-layer value pathway while controlling access with a context-dependent gate. Across models from 130M to 1.3B parameters, SATFormer consistently improves validation loss and zero-shot accuracy over the static value-residual and Transformer baselines. Its strongest gains appear on retrieval-intensive benchmarks, where it improves over static value residuals by approximately 1.5 average points, while maintaining throughput and memory usage close to the baseline Transformer. Gate analyses suggest sparse, depth-dependent, head-specific, and category-sensitive access patterns, supporting the interpretation that SATFormer learns selective reuse of early representations rather than uniform residual copying. Our code is available at https://github.com/SkyeGunasekaran/SATFormer.

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Cite this paper

@article{gunasekaran2026transformers,
  title  = {Transformers with Selective Access to Early Representations},
  author = {Skye Gunasekaran and Téa Wright and Rui-Jie Zhu and Jason Eshraghian},
  year   = {2026},
  eprint = {2605.03953},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2605.03953v2}
}

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