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A Locally Tokenized Generative Model for Robust Time-Series Watermarking
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Proposes L-VQVAE, a locally tokenized VQ generative model for multivariate time series, and LVQMark, a logit-bias watermark with robust re-encoding, to stabilize false-positive behavior under post-editing attacks.
Problem
Watermark detectors for generated multivariate time series rely on globally coupled re-encoding, so post-editing attacks shift the null distribution of the detection z-score for non-watermarked samples, breaking clean-calibrated thresholds and causing false positives or anomalies.
Approach
Make each discrete token depend only on a bounded temporal window (local tokenizer sharing one codebook with a global decoder and AR transformer), then watermark via red-green logit bias with parity-alternating partitions and unbiased warm-up, and detect using a robust encoder trained with attack augmentation to recover clean token assignments.
Key results
- L-VQVAE with LVQMark keeps mean attacked non-watermarked z-score within [-0.25, +0.35] across all twelve dataset-attack configurations at 30% strength, with FPR <= 0.01 and TPR = 1.00 in eleven of twelve cases.
- Tree-Ring under crop yields mean z of +69.4 on Stocks and FPR 1.00, showing spurious false positives for globally coupled baselines.
- Robust encoder lifts L-VQVAE Crop detection from near 0 to 1.00 across datasets while preserving Offset and Insert detection.
Surprising findings
- Robust encoder degrades SDformer detection on fMRI, collapsing Offset from 1.00 to 0.05 and Insert from 1.00 to 0.03, suggesting attack-aware training alone is insufficient without local tokenization.
- Low FPR alone can mask bidirectional null drift: negative-side drift (e.g., Gaussian Shading z=-32.2 on fMRI) yields zero FPR while distorting the null.
Limitations
- Evaluation limited to four multivariate time-series datasets and three sequence lengths.
- Robustness assessed only under three post-editing attacks (offset, crop, insertion) at two strengths.
- Multi-stage training pipeline is more complex than single-stage baselines.
Experimental setup
Datasets: Stocks ETTh Energy fMRI
Benchmarks: Stocks ETTh Energy fMRI
Metrics: TPR FPR on attacked non-watermarked samples z-score Context-FID Correlational score Discriminative score Predictive score
Baselines: Tree-Ring Gaussian Shading TimeWak DiffusionTS TimeVQVAE SDformer
Builds on: KGW TimeWak TimeVQVAE SDformer VQ-VAE
Closest papers by meaning
- Watermarking Autoregressive Image Generation (NeurIPS 2025 · similarity 0.89)
- TimeWak: Temporal Chained-Hashing Watermark for Time Series Data (NeurIPS 2025 · similarity 0.88)
- Watermarks in the Sand: Impossibility of Strong Watermarking for Language Models (ICML 2024 · similarity 0.88)
- Robust Watermarking Using Generative Priors Against Image Editing: From Benchmarking to Advances (ICLR 2025 · similarity 0.87)
- Watermarking Makes Language Models Radioactive (NeurIPS 2024 · similarity 0.87)
- BitMark: Watermarking Bitwise Autoregressive Image Generative Models (NeurIPS 2025 · similarity 0.87)
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