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Autore principale: Arnold, Stefan
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2503.14991
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author Arnold, Stefan
author_facet Arnold, Stefan
contents Differential Privacy (DP) for text has recently taken the form of text paraphrasing using language models and temperature sampling to better balance privacy and utility. However, the geometric distortion of DP regarding the structure and complexity in the representation space remains unexplored. By estimating the intrinsic dimension of paraphrased text across varying privacy budgets, we find that word-level methods severely raise the representation manifold, while sentence-level methods produce paraphrases whose manifolds are topologically more consistent with human-written paraphrases. Among sentence-level methods, masked paraphrasing, compared to causal paraphrasing, demonstrates superior preservation of structural complexity, suggesting that autoregressive generation propagates distortions from unnatural word choices that cascade and inflate the representation space.
format Preprint
id arxiv_https___arxiv_org_abs_2503_14991
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Inspecting the Representation Manifold of Differentially-Private Text
Arnold, Stefan
Computation and Language
Differential Privacy (DP) for text has recently taken the form of text paraphrasing using language models and temperature sampling to better balance privacy and utility. However, the geometric distortion of DP regarding the structure and complexity in the representation space remains unexplored. By estimating the intrinsic dimension of paraphrased text across varying privacy budgets, we find that word-level methods severely raise the representation manifold, while sentence-level methods produce paraphrases whose manifolds are topologically more consistent with human-written paraphrases. Among sentence-level methods, masked paraphrasing, compared to causal paraphrasing, demonstrates superior preservation of structural complexity, suggesting that autoregressive generation propagates distortions from unnatural word choices that cascade and inflate the representation space.
title Inspecting the Representation Manifold of Differentially-Private Text
topic Computation and Language
url https://arxiv.org/abs/2503.14991