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Rethinking LLM Memorization through the Lens of Adversarial Compression

Published 23 Apr 2024 in cs.LG and cs.CL | (2404.15146v3)

Abstract: LLMs trained on web-scale datasets raise substantial concerns regarding permissible data usage. One major question is whether these models "memorize" all their training data or they integrate many data sources in some way more akin to how a human would learn and synthesize information. The answer hinges, to a large degree, on how we define memorization. In this work, we propose the Adversarial Compression Ratio (ACR) as a metric for assessing memorization in LLMs. A given string from the training data is considered memorized if it can be elicited by a prompt (much) shorter than the string itself -- in other words, if these strings can be "compressed" with the model by computing adversarial prompts of fewer tokens. The ACR overcomes the limitations of existing notions of memorization by (i) offering an adversarial view of measuring memorization, especially for monitoring unlearning and compliance; and (ii) allowing for the flexibility to measure memorization for arbitrary strings at a reasonably low compute. Our definition serves as a practical tool for determining when model owners may be violating terms around data usage, providing a potential legal tool and a critical lens through which to address such scenarios.

Citations (19)

Summary

  • The paper introduces ACR as a metric that identifies memorization when a shorter prompt reproduces a training data string.
  • It employs the MiniPrompt framework to systematically probe LLMs, revealing ACR values above one to indicate memorization.
  • The study critiques current unlearning techniques and memorization definitions, calling for improved regulatory standards on data privacy.

Examining Memorization in LLMs Through Adversarial Compression Ratios

Introduction to Adversarial Compression Ratio (ACR)

LLMs have sparked substantial debate concerning their potential to memorize training data, raising both practical and legal concerns. The provided paper introduces the Adversarial Compression Ratio (ACR) as a novel metric to evaluate memorization within LLMs. Memorization is asserted when a model can be prompted to reproduce a string from its training data using a prompting sequence that is shorter than the string itself, effectively compressing the information. The methodological framework provided by ACR allows for an adversarial perspective which is crucial for assessing compliance with data usage standards and provides a flexible approach for the evaluation of memorization across arbitrary data strings.

Novel Metrics and Definitions

The paper critiques current memorization definitions as either excessively permissive or overly restrictive. It introduces the concept of compressible memorization where a string is considered memorized if it can be elicited from the model via a shortened prompt that offers an informationally compressed representation of the data. This operational definition uses token-based metrics to calculate ACR, offering a more tangible and legally relevant measurement compared to traditional methods that utilize perplexity or exact match criteria.

Practical Applications and Experimental Evidence

The author's experimental framework, MiniPrompt, systematically probes LLMs to determine the shortest prompting sequences that reliably induce the reproduction of target data. Through rigorous experimentation, the paper demonstrates that LLMs often retain memorized sequences from training data, evidenced by ACR values greater than one. Particularly, the study reflects on the utility of this metric in legally ambiguous scenarios where demonstration of memorization could substantiate claims of data misuse.

Unlearning and Limitations of Current Definitions

Current methods of unlearning or data removal, which often rely on instruction-based adjustments, do not substantially impact the underlying memorization mechanisms of LLMs. The paper dissects several unlearning models and exposes their ineffectiveness as the models continue to produce memorized outputs when prompted optimally. This emphasizes the inadequacy of existing memorization definitions that are constrained by output completeness or fail to encompass subtle nuances of LLM data retention.

Future Implications and Theoretical Contributions

The introduction of ACR paves the way for more nuanced understandings and discussions regarding the behavior of LLMs towards their training data. It opens up avenues for developing better regulatory frameworks concerning data privacy and fair use in AI training procedures. Theoretically, the paper advances discussions on the nature of data memorization in neural networks, challenging the community to rethink how LLMs process and store information.

Conclusion

Overall, this research contributes a critical perspective on assessing memorization in LLMs using an adversarial approach. It systematically critiques and extends beyond traditional methods, offering a novel, theoretically and practically robust framework for understanding memorization dynamics in large-scale generative models. The implications of this study are broad, affecting future research directions, the development of LLMs, and the formulation of related legal standards.

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