cs.CC · 2026-09-04 · No. 105

Computational Complexity, 2026-09-04.

1 new papers in cs.CC. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

1 entries
  1. 01

    The Head Complexity of Boolean Functions in Single-Layer Attention

    Rajmohan Rajaraman, Ravi Sundaram, Amanuel Tesfaye

    cs.CC · cs.LG

    What can a single layer of self-attention compute? We study head complexity: the minimum number of attention heads required to compute a function in a one-layer attention-only model. We establish an exact hierarchy under this measure: $k$ heads compute $k$-bit parity but cannot compute $(k+1)$-bit parity. The lower bound is unconditional in the two resources a transformer might otherwise exploit; it holds at unbounded embedding dimension and...

    arxiv.org/abs/2609.04046 · PDF

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