cs.CC · 2026-09-06 · No. 107

Computational Complexity, 2026-09-06.

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

This edition is part of The Daily Abstract — cs.CC archive. Subscribe to receive these in your inbox each morning, automatically translated to Spanish, with reply-to-PDF: arxivdaily.ignorelist.com.

Colophon Set in Georgia, with system sans for interface chrome and a monospaced stack for code and paper identifiers. Sole accent: amber #D99C5E. Built and served on an always-free VM. The masthead is set 14% letterspaced because newspapers do that and it works.