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Characterizing Memorization in Diffusion Language Models: Generalized Extraction and Sampling Effects

arXiv:2603.02333v1 Announce Type: new Abstract: Autoregressive language models (ARMs) have been shown to memorize and occasionally reproduce training data verbatim, raising concerns about privacy and copyright liability. Diffusion language models (DLMs) have recently emerged as a competitive alternative, yet their memorization behavior remains largely unexplored due to fundamental differences in generation dynamics. To address this gap, we present a systematic theoretical and empirical characterization of memorization in DLMs. We propose a generalized probabilistic extraction framework that unifies prefix-conditioned decoding and diffusion-based generation under arbitrary masking patterns and stochastic sampling trajectories. Theorem 4.3 establishes a monotonic relationship between sampling resolution and memorization: increasing resolution strictly increases the probability of exact training data extraction, implying that autoregressive decoding corresponds to a limiting case of diff

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Xiaoyu Luo, Wenrui Yu, Qiongxiu Li, Johannes Bjerva
· · 1 min read · 3 views

arXiv:2603.02333v1 Announce Type: new Abstract: Autoregressive language models (ARMs) have been shown to memorize and occasionally reproduce training data verbatim, raising concerns about privacy and copyright liability. Diffusion language models (DLMs) have recently emerged as a competitive alternative, yet their memorization behavior remains largely unexplored due to fundamental differences in generation dynamics. To address this gap, we present a systematic theoretical and empirical characterization of memorization in DLMs. We propose a generalized probabilistic extraction framework that unifies prefix-conditioned decoding and diffusion-based generation under arbitrary masking patterns and stochastic sampling trajectories. Theorem 4.3 establishes a monotonic relationship between sampling resolution and memorization: increasing resolution strictly increases the probability of exact training data extraction, implying that autoregressive decoding corresponds to a limiting case of diffusion-based generation by setting the sampling resolution maximal. Extensive experiments across model scales and sampling strategies validate our theoretical predictions. Under aligned prefix-conditioned evaluations, we further demonstrate that DLMs exhibit substantially lower memorization-based leakage of personally identifiable information (PII) compared to ARMs.

Executive Summary

This article presents a comprehensive theoretical and empirical characterization of memorization in diffusion language models (DLMs). The authors propose a generalized probabilistic extraction framework to unify prefix-conditioned decoding and diffusion-based generation under arbitrary masking patterns and stochastic sampling trajectories. Extensive experiments validate the theoretical predictions, demonstrating that DLMs exhibit substantially lower memorization-based leakage of personally identifiable information (PII) compared to autoregressive language models (ARMs). The study's findings have significant implications for the development and deployment of language models, particularly in applications where data privacy and security are paramount. The research sheds new light on the memorization behavior of DLMs and highlights their potential advantages over ARMs in sensitive information processing tasks.

Key Points

  • The authors propose a generalized probabilistic extraction framework for characterizing memorization in DLMs.
  • Extensive experiments validate the theoretical predictions, demonstrating the superiority of DLMs in terms of memorization-based leakage.
  • The study highlights the potential advantages of DLMs in sensitive information processing tasks, particularly in applications where data privacy and security are paramount.

Merits

Strength in Theoretical Foundations

The study's theoretical framework provides a systematic and comprehensive characterization of memorization in DLMs, establishing a solid foundation for future research.

Methodological Rigor

The authors' experimental design and analysis are thorough and well-executed, providing strong evidence to support the theoretical predictions.

Demerits

Limited Scope

The study focuses primarily on the memorization behavior of DLMs, neglecting other important aspects of language model performance, such as accuracy and interpretability.

Lack of Real-World Applications

The study's findings are largely theoretical and lack concrete real-world applications, which may limit their practical relevance and impact.

Expert Commentary

The article presents a significant contribution to the field of language modeling, providing a comprehensive characterization of memorization in DLMs. The study's theoretical framework and experimental design are thorough and well-executed, providing strong evidence to support the authors' claims. However, the study's limitations, including the lack of real-world applications and the focus on a single aspect of language model performance, should be acknowledged. Future research should aim to build on these findings, exploring the relative merits of DLMs and ARMs in a broader range of applications and evaluating their performance in real-world scenarios.

Recommendations

  • Future research should investigate the memorization behavior of DLMs in more complex and realistic scenarios, such as multi-task learning and transfer learning.
  • The development of policies and regulations governing the use of language models in sensitive information processing tasks should be informed by the study's findings and should prioritize data privacy and security.

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