Probabilistic Reasoning with LLMs for k-anonymity Estimation

Fuente: arXiv
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Main Authors: Zheng, Jonathan, Das, Sauvik, Ritter, Alan, Xu, Wei
Format: Preprint
Published: 2025
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author Zheng, Jonathan
Das, Sauvik
Ritter, Alan
Xu, Wei
author_facet Zheng, Jonathan
Das, Sauvik
Ritter, Alan
Xu, Wei
contents Probabilistic reasoning is a key aspect of both human and artificial intelligence that allows for handling uncertainty and ambiguity in decision-making. In this paper, we introduce a new numerical reasoning task under uncertainty for large language models, focusing on estimating the privacy risk of user-generated documents containing privacy-sensitive information. We propose BRANCH, a new LLM methodology that estimates the k-privacy value of a text-the size of the population matching the given information. BRANCH factorizes a joint probability distribution of personal information as random variables. The probability of each factor in a population is estimated separately using a Bayesian network and combined to compute the final k-value. Our experiments show that this method successfully estimates the k-value 73% of the time, a 13% increase compared to o3-mini with chain-of-thought reasoning. We also find that LLM uncertainty is a good indicator for accuracy, as high-variance predictions are 37.47% less accurate on average.
format Preprint
id arxiv_https___arxiv_org_abs_2503_09674
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Probabilistic Reasoning with LLMs for k-anonymity Estimation
Zheng, Jonathan
Das, Sauvik
Ritter, Alan
Xu, Wei
Computation and Language
Machine Learning
Probabilistic reasoning is a key aspect of both human and artificial intelligence that allows for handling uncertainty and ambiguity in decision-making. In this paper, we introduce a new numerical reasoning task under uncertainty for large language models, focusing on estimating the privacy risk of user-generated documents containing privacy-sensitive information. We propose BRANCH, a new LLM methodology that estimates the k-privacy value of a text-the size of the population matching the given information. BRANCH factorizes a joint probability distribution of personal information as random variables. The probability of each factor in a population is estimated separately using a Bayesian network and combined to compute the final k-value. Our experiments show that this method successfully estimates the k-value 73% of the time, a 13% increase compared to o3-mini with chain-of-thought reasoning. We also find that LLM uncertainty is a good indicator for accuracy, as high-variance predictions are 37.47% less accurate on average.
title Probabilistic Reasoning with LLMs for k-anonymity Estimation
topic Computation and Language
Machine Learning
url https://arxiv.org/abs/2503.09674