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MOSAiC: Multi-Site One-Shot Aggregation of Compressed Risk Functions

MOSAiC:多站点压缩风险函数的一次性聚合

Multi-center research has strengthened the generalizability and reproducibility of scientific findings, yet multi-site inference in modern distributed research networks remains constrained by privacy regulations, heterogeneous site characteristics, and the logistical burden of human-in-the-loop, multi-round communication. In this work, we distill these operational constraints into four mathematical requirements for practical distributed inference and introduce MOSAiC, a…

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Robust detection of watermarks for large language models under human edits

人工编辑下大语言模型水印的稳健检测

Abstract Watermarking is an effective approach to distinguishing text generated by large language models (LLMs) from human-written text. However, the pervasive presence of human edits on LLM-generated text dilutes watermark signals, thereby significantly degrading detection performance of existing methods. In this paper, by modelling human edits through mixture model detection, we introduce a new method—a truncated goodness-of-fit test (Tr-GoF) for detecting watermarked text…

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A statistical framework of watermarks for large language models: Pivot, detection efficiency and optimal rules

大语言模型水印的统计框架:枢轴量、检测效率与最优规则

Since ChatGPT was introduced in November 2022, embedding (nearly) unnoticeable statistical signals into text generated by large language models (LLMs), also known as watermarking, has been used as a principled approach to provable detection of LLM-generated text from its human-written counterpart. In this paper, we introduce a general and flexible framework for reasoning about the statistical efficiency of watermarks and designing powerful detection rules. Inspired by the…

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CARE: Large Precision Matrix Estimation for Compositional Data

CARE:组成数据的大型精度矩阵估计

High-dimensional compositional data are prevalent in many applications. The simplex constraint poses intrinsic challenges to inferring the conditional dependence relationships among the components forming a composition, as encoded by a large precision matrix. We introduce a precise specification of the compositional precision matrix and relate it to its basis counterpart, which is shown to be asymptotically identifiable under suitable sparsity assumptions. By exploiting this…

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