Refined Detection for Gumbel Watermarking

arXiv stat.ML / 4/1/2026

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Key Points

  • The paper introduces a refined, model-agnostic detection mechanism for the Gumbel watermarking scheme originally proposed by Aaronson (2022).
  • It provides a theoretical result showing the proposed detector is near-optimal in a problem-dependent sense among model-agnostic watermarking methods.
  • The near-optimality guarantee is established under the assumption that the next-token distribution is sampled i.i.d.
  • The work focuses specifically on improving detection effectiveness for watermark presence rather than changing the underlying watermark generation method.

Abstract

We propose a simple detection mechanism for the Gumbel watermarking scheme proposed by Aaronson (2022). The new mechanism is proven to be near-optimal in a problem-dependent sense among all model-agnostic watermarking schemes under the assumption that the next-token distribution is sampled i.i.d.