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Robust distortion- free watermarks for language models

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abstract

We propose a methodology for planting watermarks in text from an autoregressive language model that are robust to perturbations without changing the distribution over text up to a certain maximum generation budget. We generate watermarked text by mapping a sequence of random numbers -- which we compute using a randomized watermark key -- to a sample from the language model. To detect watermarked text, any party who knows the key can align the text to the random number sequence. We instantiate our watermark methodology with two sampling schemes: inverse transform sampling and exponential minimum sampling. We apply these watermarks to three language models -- OPT-1.3B, LLaMA-7B and Alpaca-7B -- to experimentally validate their statistical power and robustness to various paraphrasing attacks. Notably, for both the OPT-1.3B and LLaMA-7B models, we find we can reliably detect watermarked text ($p \leq 0.01$) from $35$ tokens even after corrupting between $40$-$50\%$ of the tokens via random edits (i.e., substitutions, insertions or deletions). For the Alpaca-7B model, we conduct a case study on the feasibility of watermarking responses to typical user instructions. Due to the lower entropy of the responses, detection is more difficult: around $25\%$ of the responses -- whose median length is around $100$ tokens -- are detectable with $p \leq 0.01$, and the watermark is also less robust to certain automated paraphrasing attacks we implement.

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representative citing papers

Beyond Heuristic Tuning: Power-Calibrated LLM Watermarking

stat.ML · 2026-07-06 · accept · novelty 7.0

A power-calibrated statistical framework gives closed-form links from KGW watermark parameters (γ, δ) to detection power and KL distortion, enabling principled Pareto-optimal selection.

Can we Watermark Low-Entropy LLM Outputs?

cs.CR · 2026-04-13 · unverdicted · novelty 7.0

The authors give constructions for provably undetectable watermarking of constant-entropy LLM outputs that are robust to random substitutions (under subexponential LPN) and to substitutions plus random deletions (under an additional heuristic or pseudorandom ECC).

Topic-Based Watermarks for Large Language Models

cs.CR · 2024-04-02 · unverdicted · novelty 7.0

A topic-guided watermarking scheme partitions the LLM vocabulary into topic-aligned token subsets and green-lists relevant tokens based on the input prompt to embed detectable marks while preserving text quality and improving robustness to attacks.

Can AI-Generated Text be Reliably Detected?

cs.CL · 2023-03-17 · unverdicted · novelty 6.0

Recursive paraphrasing attacks substantially lower detection rates for multiple AI text detectors with only minor quality loss, while a theoretical analysis ties best-case AUROC to total variation distance between human and AI distributions.

Fundamental Trade-Offs in Multi-Bit Watermarking of Stochastic Processes

cs.IT · 2026-05-09 · unverdicted · novelty 5.0

Derives matched converse and achievability bounds that characterize optimal trade-offs among false-alarm probability, detection error probability, distortion, and information rate for multi-bit watermarking of stationary ergodic stochastic processes.

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