离散环境中的一般自适应阈值监测和不平衡类规则

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Ansgar Steland, Ewaryst Rafajłowicz, Wojciech Rafajłowicz
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引用次数: 0

摘要

考虑到统计学和机器学习中的应用,如个性化护理监控或大型语言模型中的水印检测,我们考虑了以下一般情况:在监控一系列观察结果时,可能会有关于环境的附加信息,这些信息应被用于设计监控程序。可以通过对标准化测量应用阈值函数来纳入这些附加信息,从而使检测器适应环境。对于离散值环境信息的分类数据编码情况,我们研究了几类水平阈值函数,包括在不平衡类别中偏好罕见事件的比例函数。对于后一种规则,我们开发了独立同分布和依赖学习样本的渐近理论,包括新离散自回归移动平均模型(NDARMA)序列和隐马尔可夫模型的数据。此外,我们还提出了两阶段设计方案,允许在样本空间的先验分区上以可控方式分配预算。 我们通过一个真实的医疗数据集对该方法进行了说明。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
General adapted‐threshold monitoring in discrete environments and rules for imbalanced classes
Having in mind applications in statistics and machine learning such as individualized care monitoring, or watermark detection in large language models, we consider the following general setting: When monitoring a sequence of observations, , there may be additional information, , on the environment which should be used to design the monitoring procedure. This additional information can be incorporated by applying threshold functions to the standardized measurements to adapt the detector to the environment. For the case of categorical data encoding of discrete‐valued environmental information we study several classes of level threshold functions including a proportional one which favors rare events among imbalanced classes. For the latter rule asymptotic theory is developed for independent and identically distributed and dependent learning samples including data from new discrete autoregressive moving average model (NDARMA) series and Hidden Markov Models. Further, we propose two‐stage designs which allow to distribute in a controlled way the budget over an a priori partition of the sample space of . The approach is illustrated by a real medical data set.
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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