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A Biomarker-Based Dose-Schedule Optimization Design for Immunotherapy Trials. 基于生物标志物的免疫治疗试验剂量方案优化设计
IF 1.8 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2026-01-01 DOI: 10.1002/sim.70357
Yingjie Qiu, Yan Han, Beibei Guo

In immunotherapy, both the dose and the schedule of drug administration can significantly influence therapeutic effects by modulating immune system activation. Incorporating immune response measures into clinical trial designs offers an opportunity to enhance decision-making by leveraging their close association with therapeutic efficacy and toxicity. Motivated by settings where biomarker data indicate improved efficacy in biomarker-positive patients, we propose a dose-schedule optimization strategy tailored to each biomarker-defined subgroup, based on elicited utility functions that capture risk-benefit tradeoffs. We introduce a joint modeling framework that simultaneously evaluates immune response, toxicity, and efficacy, enabling information sharing across outcome types and patient subgroups. Our approach utilizes parsimonious yet flexible models designed specifically to address challenges due to small sample sizes commonly encountered in early-phase trials. Simulation studies demonstrate that the proposed design achieves desirable operating characteristics and effectively informs dose-schedule optimization.

在免疫治疗中,给药剂量和给药时间表都可以通过调节免疫系统的激活来显著影响治疗效果。将免疫反应措施纳入临床试验设计提供了一个机会,通过利用它们与治疗疗效和毒性的密切联系来加强决策。在生物标志物数据表明生物标志物阳性患者的疗效得到改善的情况下,我们提出了一种针对每个生物标志物定义的亚组量身定制的剂量计划优化策略,该策略基于捕获风险-收益权衡的诱导效用函数。我们引入了一个联合建模框架,可以同时评估免疫反应、毒性和疗效,使结果类型和患者亚组之间的信息共享成为可能。我们的方法利用简洁而灵活的模型,专门设计用于解决早期试验中常见的小样本量所带来的挑战。仿真研究表明,所提出的设计达到了理想的工作特性,并有效地指导了剂量计划的优化。
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引用次数: 0
Leveraging Rank Information for Robust Regression Analysis: A Nomination Sampling Approach. 利用秩信息进行稳健回归分析:一种提名抽样方法。
IF 1.8 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2026-01-01 DOI: 10.1002/sim.70362
Neve Loewen, Mohammad Jafari Jozani

This paper introduces a novel methodology for robust regression analysis when traditional mean regression falls short due to the presence of outliers. Unlike conventional approaches that rely on simple random sampling (SRS), our methodology leverages median nomination sampling (MedNS) by utilizing readily available ranking information to obtain training data that more accurately captures the central tendency of the underlying population, thereby enhancing the representativeness of the sample in the presence of extensive outliers in the population. We propose a new loss function that integrates the extra rank information of MedNS data during the training phase of model fitting, thus offering a form of robust regression. Further, we provide an alternative approach that translates the median regression estimation using MedNS to corresponding problems under SRS. Through simulation studies, including a high-dimensional and a nonlinear regression setting, we evaluate the efficacy of our proposed approach compared to its SRS counterpart by comparing the integrated mean squared error of regression estimates. We observe that our proposed method provides higher relative efficiency (RE) compared to its SRS counterparts. Lastly, the proposed methods are applied to a real data set collected for body fat analysis in adults.

本文介绍了一种新的鲁棒回归分析方法,当传统的均值回归由于异常值的存在而无法进行鲁棒回归分析时。与依赖简单随机抽样(SRS)的传统方法不同,我们的方法利用中位数提名抽样(MedNS),利用现成的排名信息来获得训练数据,更准确地捕捉潜在群体的集中趋势,从而在群体中存在大量异常值的情况下增强样本的代表性。我们提出了一种新的损失函数,该函数在模型拟合的训练阶段集成了MedNS数据的额外秩信息,从而提供了一种鲁棒回归形式。此外,我们提供了一种替代方法,将使用MedNS的中位数回归估计转换为SRS下的相应问题。通过模拟研究,包括高维和非线性回归设置,我们通过比较回归估计的综合均方误差来评估我们提出的方法与SRS方法相比的有效性。我们发现,与SRS方法相比,我们提出的方法提供了更高的相对效率(RE)。最后,将所提出的方法应用于成人体脂分析所收集的真实数据集。
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引用次数: 0
Mendelian Randomization With Longitudinal Exposure Data: Simulation Study and Real Data Application. 纵向暴露数据的孟德尔随机化:模拟研究和实际数据应用。
IF 1.8 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2026-01-01 DOI: 10.1002/sim.70378
Janne Pott, Marco Palma, Yi Liu, Jasmine A Mack, Ulla Sovio, Gordon C S Smith, Jessica Barrett, Stephen Burgess

Background and aim: Mendelian randomization (MR) is a widely used tool to estimate causal effects using genetic variants as instrumental variables. MR is limited to cross-sectional summary statistics of different samples and time points to analyze time-varying effects. We aimed at using longitudinal summary statistics for an exposure in a multivariable MR setting and validating the effect estimates for the mean, slope, and within-individual variability.

Simulation study: We tested our approach in 12 scenarios for power and type I error, depending on shared instruments between the mean, slope, and variability, and regression model specifications. We observed high power to detect causal effects of the mean and slope throughout the simulation, but the variability effect was low powered in the case of shared SNPs between the mean and variability. Mis-specified regression models led to lower power and increased the type I error.

Real data application: We applied our approach to two real data sets (POPS, UK Biobank). We detected significant causal estimates for both the mean and the slope in both cases, but no independent effect of the variability. However, we only had weak instruments in both data sets.

Conclusion: We used a new approach to test a time-varying exposure for causal effects of the exposure's mean, slope and variability. The simulation with strong instruments seems promising but also highlights three crucial points: (1) The difficulty to define the correct exposure regression model, (2) the dependency on the genetic correlation, and (3) the lack of strong instruments in real data. Taken together, this demands a cautious evaluation of the results, accounting for known biology and the trajectory of the exposure.

背景与目的:孟德尔随机化(MR)是一种广泛使用的工具,以遗传变异作为工具变量来估计因果关系。MR仅限于对不同样本和时间点的横截面汇总统计来分析时变效应。我们的目的是对多变量MR环境下的暴露使用纵向汇总统计,并验证平均、斜率和个体内变异性的影响估计。模拟研究:我们根据平均值、斜率、可变性和回归模型规格之间的共享工具,在12种情况下测试了我们的方法的功率和I型误差。在整个模拟过程中,我们观察到均值和斜率的因果效应的检测功率很高,但在均值和变异性之间共享snp的情况下,变异性效应的检测功率很低。错误指定的回归模型导致较低的功率并增加了I型误差。真实数据应用:我们将我们的方法应用于两个真实数据集(POPS, UK Biobank)。在这两种情况下,我们都发现了均值和斜率的显著因果估计,但没有可变性的独立影响。然而,在这两个数据集中,我们只有较弱的仪器。结论:我们采用了一种新的方法来检验时变暴露对暴露的平均值、斜率和变异性的因果影响。使用强仪器的模拟似乎很有希望,但也突出了三个关键点:(1)难以定义正确的暴露回归模型;(2)对遗传相关性的依赖;(3)在实际数据中缺乏强仪器。综上所述,这需要对结果进行谨慎的评估,考虑到已知的生物学和暴露的轨迹。
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引用次数: 0
Extended Joinpoint Regression Methodology for Complex Survey Data. 复杂调查数据的扩展连接点回归方法。
IF 1.8 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2026-01-01 DOI: 10.1002/sim.70374
Benmei Liu, Hyune-Ju Kim, Joe Zou, Eric J Feuer, Barry I Graubard

Joinpoint regression can model trends in time-specific aggregated estimates. These methods have been developed mainly for non-survey data such as cancer registry data, and only recently have been extended to utilize survey data that accounts for complex sample designs resulting in non-zero correlation between the time-specific estimates. This correlation can occur for surveys with data from the same sampled units used across time points, for example, the annual National Health Interview Survey with multistage cluster samples using the same first-stage sampled clusters over consecutive time points. Another issue when modeling aggregated data is that the degrees of freedom for joinpoint analyses of multistage cluster samples are based on the number of time points, not the number of first-stage sampled clusters as used in survey methods. To address this, we propose models of individual-level data that incorporate both the correlation between time points and correct the degrees of freedom due to the sampling design that is needed for accurate inferences. Also, a modified design-based Akaike Information Criterion (M-dAIC) for model selection is proposed to account for complex sample designs. These new methods are empirically compared to existing methods using simulation studies and health survey data examples. The simulation studies indicated that this new individual-level model identified the true number of joinpoints more accurately than the established aggregate-level models for data collected using complex survey designs with moderate to large interclass correlation coefficients (ICC).

连接点回归可以在特定时间的汇总估计中为趋势建模。这些方法主要用于非调查数据,如癌症登记数据,直到最近才扩展到利用调查数据,这些数据解释了复杂的样本设计,导致特定时间估计之间的非零相关性。对于跨时间点使用相同抽样单位的数据的调查,可能会出现这种相关性,例如,年度全国健康访谈调查使用多阶段群集样本,在连续时间点使用相同的第一阶段抽样群集。建模聚合数据时的另一个问题是,多阶段聚类样本的连接点分析的自由度是基于时间点的数量,而不是像调查方法中使用的第一阶段抽样聚类的数量。为了解决这个问题,我们提出了个人层面数据的模型,该模型既包含时间点之间的相关性,又校正了由于准确推断所需的抽样设计而产生的自由度。同时,针对复杂的样本设计,提出了一种改进的基于设计的赤池信息准则(m - aic)。利用模拟研究和健康调查数据实例,对这些新方法与现有方法进行了实证比较。模拟研究表明,对于使用具有中大型类间相关系数(ICC)的复杂调查设计收集的数据,这种新的个人水平模型比已建立的总体水平模型更准确地识别出连接点的真实数量。
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引用次数: 0
Bayesian Variable Selection With l 1 $$ {l}_1 $$ -Ball for Spatially Partly Interval-Censored Data. 空间部分间隔截短数据的1.1 $$ {l}_1 $$ -Ball贝叶斯变量选择。
IF 1.8 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2026-01-01 DOI: 10.1002/sim.70369
Mingyue Qiu, Lianming Wang, Qingning Zhou, Tao Hu

The objective of this study is to perform variable selection and parameter estimation for analyzing partly interval-censored data based on a proportional hazards model that incorporates spatial effects. To broaden the model's applicability across diverse scenarios, we consider two types of spatial structures: adjacency and distance information. Leveraging the differentiable properties of the l 1 $$ {l}_1 $$ -ball prior developed through projection-based methods, we have devised an efficient Bayesian algorithm by introducing latent variables and applying stochastic gradient Langevin dynamics principles. This algorithm can rapidly deliver results without resorting to complex sampling steps. Through simulations encompassing various scenarios, we have validated the performance of this method in both variable selection and parameter estimation. In our real data application, the proposed approach selects important variables associated with the emergence time of permanent teeth. Additionally, it identifies the spatial structure that best fits these data characteristics. This selection and identification are based on two Bayesian model selection criteria: the log pseudo-marginal likelihood and the deviance information criterion.

本研究的目的是基于包含空间效应的比例风险模型,对部分区间截尾数据进行变量选择和参数估计。为了扩大模型在不同场景下的适用性,我们考虑了两种类型的空间结构:邻接性和距离信息。利用先前通过基于投影的方法开发的1 $$ {l}_1 $$ -球的可微特性,我们通过引入潜在变量和应用随机梯度朗之万动力学原理,设计了一种有效的贝叶斯算法。该算法无需复杂的采样步骤即可快速得出结果。通过各种场景的仿真,我们验证了该方法在变量选择和参数估计方面的性能。在实际数据应用中,该方法选择了恒牙出牙时间相关的重要变量。此外,它还确定最适合这些数据特征的空间结构。这种选择和识别是基于两个贝叶斯模型选择准则:对数伪边际似然和偏差信息准则。
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引用次数: 0
A Bayesian Multilevel Joint Modeling of Longitudinal and Survival Outcomes in Cluster Randomized Controlled Trial Studies. 聚类随机对照试验研究中纵向和生存结果的贝叶斯多水平联合建模。
IF 1.8 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2026-01-01 DOI: 10.1002/sim.70385
Yixiu Liu, Depeng Jiang, Mahmoud Torabi, Xuekui Zhang

Cluster randomized controlled trials (CRCTs) are commonly used when interventions are delivered at the group level. Since data from CTCTs are inherently multilevel, methods that properly account for clustering are required. Joint modeling (JM) of longitudinal and survival data allows for simultaneous evaluation of intervention effects on repeated measures and time-to-event outcomes, offering a comprehensive view of intervention effects. However, existing JMs do not accommodate clustered data structures typically of CRCTs. This study introduces a multilevel joint model (MJM) to simultaneously evaluate intervention effects on correlated longitudinal and survival outcomes. The model was applied to empirical data from a large CRCT evaluating the PAX Good Behavior Game, a classroom-based mental health intervention involving 4189 Grade 1 students across 313 classrooms during the 2011-2012 school year. Mental health was assessed at three time points: pre-PAX (January 2012), post-PAX (June 2012), and Grade 5 (June 2016). Time-to-first mental disorder diagnosis was tracked through March 2024. Simulation studies further evaluated the MJM's performance under varying conditions, including censoring rates, cluster sizes, group-level variances, and survival model specifications. Results indicated the PAX program significantly improved mental health trajectories and reduced the risk of mental disorder diagnoses. The MJM outperformed traditional JMs by producing more accurate estimates and standard errors. Both empirical and simulation findings demonstrated that ignoring hierarchical structures leads to biased inferences and underestimation of intervention effects. The proposed MJM offers a robust and flexible analytic framework for analyzing data from CRCTs, emphasizing the importance of accounting for clustering in evaluating group-based interventions.

当在组水平上提供干预措施时,通常使用聚类随机对照试验(crct)。由于来自ctct的数据本质上是多层的,因此需要适当考虑聚类的方法。纵向和生存数据的联合建模(JM)允许同时评估重复测量和事件时间结果的干预效果,提供干预效果的全面视图。但是,现有的JMs不能适应典型的crt的集群数据结构。本研究引入了一个多层联合模型(MJM)来同时评估干预对相关纵向和生存结果的影响。该模型应用于评估PAX良好行为游戏的大型CRCT的经验数据,PAX良好行为游戏是一项基于课堂的心理健康干预,涉及2011-2012学年313个教室的4189名一年级学生。心理健康在三个时间点进行评估:pax前(2012年1月)、pax后(2012年6月)和5年级(2016年6月)。首次精神障碍诊断的时间一直追踪到2024年3月。模拟研究进一步评估了MJM在不同条件下的性能,包括审查率、簇大小、组水平方差和生存模型规格。结果表明,PAX项目显著改善了精神健康轨迹,降低了精神障碍诊断的风险。MJM通过产生更准确的估计和标准误差而优于传统JMs。实证和模拟结果均表明,忽视层次结构会导致有偏见的推断和对干预效果的低估。提出的MJM为分析来自crct的数据提供了一个强大而灵活的分析框架,强调了在评估基于群体的干预措施时考虑聚类的重要性。
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引用次数: 0
Multi-Model Ensembles in Infectious Disease and Public Health: Methods, Interpretation, and Implementation in R. 传染病和公共卫生中的多模型集成:方法、解释和实现。
IF 1.8 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2026-01-01 DOI: 10.1002/sim.70333
Li Shandross, Emily Howerton, Lucie Contamin, Harry Hochheiser, Anna Krystalli, Nicholas G Reich, Evan L Ray

Combining predictions from multiple models into an ensemble is a widely used practice across many fields with demonstrated performance benefits. Popularized through domains such as weather forecasting and climate modeling, multi-model ensembles are becoming increasingly common in public health and biological applications. For example, multi-model outbreak forecasting provides more accurate and reliable information about the timing and burden of infectious disease outbreaks to public health officials and medical practitioners. Yet, understanding and interpreting multi-model ensemble results can be difficult, as there are a diversity of methods proposed in the literature with no clear consensus on which is best. Moreover, a lack of standard, easy-to-use software implementations impedes the generation of multi-model ensembles in practice. To address these challenges, we provide an introduction to the statistical foundations of applied probabilistic forecasting, including the role of multi-model ensembles. We introduce the hubEnsembles package, a flexible framework for ensembling various types of predictions using a range of methods. Finally, we present a tutorial and case-study of ensemble methods using the hubEnsembles package on a subset of real, publicly available data from the FluSight Forecast Hub.

将来自多个模型的预测组合成一个集成是在许多领域广泛使用的实践,具有已证明的性能优势。通过天气预报和气候建模等领域的普及,多模式集成在公共卫生和生物应用中变得越来越普遍。例如,多模型爆发预测为公共卫生官员和医疗从业者提供了关于传染病爆发时间和负担的更准确和可靠的信息。然而,理解和解释多模型集成结果可能很困难,因为文献中提出了多种方法,但对于哪种方法最好没有明确的共识。此外,缺乏标准的、易于使用的软件实现在实践中阻碍了多模型集成的生成。为了解决这些挑战,我们介绍了应用概率预测的统计基础,包括多模型集成的作用。我们介绍hubEnsembles包,这是一个灵活的框架,用于使用一系列方法集成各种类型的预测。最后,我们提供了一个教程和案例研究,使用hubEnsembles包对来自FluSight Forecast Hub的真实公开可用数据子集进行集成方法。
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引用次数: 0
Multiple Testing of Mix-and-Match Feature Sets in Multi-Omics. 多组学中混合匹配特征集的多重测试。
IF 1.8 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2026-01-01 DOI: 10.1002/sim.70367
Mitra Ebrahimpoor, Renée Menezes, Ningning Xu, Jelle J Goeman

Integrated analysis of multi-omics datasets holds great promise for uncovering complex biological processes. However, the large dimensionality of omics data poses significant interpretability and multiple testing challenges. Simultaneous enrichment analysis (SEA) was introduced to address these issues in single-omics analysis, providing an in-built multiple testing correction and enabling simultaneous feature set testing. In this article, we introduce OCEAN, an extension of SEA to multi-omics data. OCEAN is a flexible approach to analyze potentially all possible two-way feature sets from any pair of genomics datasets. We also propose two new error rates which are in line with the two-way structure of the data and facilitate interpretation of the results. The power and utility of OCEAN are demonstrated by analyzing copy number and gene expression data for breast and colon cancer.

多组学数据集的综合分析为揭示复杂的生物过程提供了巨大的希望。然而,组学数据的大维度带来了重大的可解释性和多重测试挑战。同时富集分析(SEA)是为了解决单组学分析中的这些问题而引入的,它提供了内置的多个测试校正,并支持同时进行特征集测试。本文介绍了SEA对多组学数据的扩展——OCEAN。OCEAN是一种灵活的方法,可以分析任何一对基因组学数据集中潜在的所有可能的双向特征集。我们还提出了两个新的错误率,它们符合数据的双向结构,便于对结果的解释。通过分析乳腺癌和结肠癌的拷贝数和基因表达数据,证明了OCEAN的功能和实用性。
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引用次数: 0
Bayesian Power Prior in Platform Trials With Non-Concurrent Control for Binary Outcomes: Development and Comparative Evaluation. 双结果非并发控制平台试验中的贝叶斯幂先验:发展与比较评价。
IF 1.8 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2026-01-01 DOI: 10.1002/sim.70387
Junichi Asano, Hiroyuki Sato, Shin Watanabe, Akihiro Hirakawa

Platform trials enable the evaluation of multiple investigational drugs for a single disease and offer flexibility in adding or dropping treatments during the trial. This design would be advantageous for reducing the sample size and drug development time, particularly in contexts such as pandemics. In the platform trials, non-concurrent controls (NCCs) are often used for drug-control comparisons, but temporal shifts in subject characteristics, trial conduct, or standard of care can introduce bias in the estimation of treatment effects and increase the type I error rate. In this study, we develop a new Bayesian power prior to incorporate NCC data in platform trials with binary outcomes. To address temporal shifts, our method adjusts the amount of information borrowed from NCCs using a data-driven similarity index between NCC and concurrent control (CC) data. This index serves as the power parameter in the power prior, enabling adaptive borrowing. We evaluated the proposed method through extensive simulation studies, comparing its operating characteristics with seven alternatives: analysis using only CC data, naïve pooling method, a frequentist linear regression model, and four Bayesian methods designed to address temporal shifts. Across a range of temporal shift scenarios, the proposed method consistently achieved a favorable balance between type I error control and statistical power, maintaining type I error rates below 10% while avoiding the overborrowing seen in more aggressive methods. The practical utility of the proposed method was also examined by applying it to data from a platform trial involving patients with COVID-19.

平台试验能够对单一疾病的多种研究药物进行评估,并在试验期间提供增加或减少治疗的灵活性。这种设计将有利于减少样本量和药物开发时间,特别是在流行病等情况下。在平台试验中,非并发对照(NCCs)通常用于药物对照比较,但受试者特征、试验行为或护理标准的时间变化可能在估计治疗效果时引入偏倚,并增加I型错误率。在这项研究中,我们开发了一个新的贝叶斯幂,在将NCC数据纳入具有二元结果的平台试验之前。为了解决时间变化问题,我们的方法使用NCC和并发控制(CC)数据之间的数据驱动的相似性指数来调整从NCC借用的信息量。该指标作为功率先验中的功率参数,实现自适应借用。我们通过广泛的模拟研究评估了所提出的方法,并将其与七种替代方法进行了比较:仅使用CC数据的分析、naïve池化方法、频率线性回归模型和四种旨在解决时间变化的贝叶斯方法。在一系列时间变化情景中,所提出的方法始终在I型误差控制和统计能力之间取得了良好的平衡,将I型错误率保持在10%以下,同时避免了更激进方法中出现的过度借贷。通过将所提出的方法应用于涉及COVID-19患者的平台试验数据,还检验了该方法的实际效用。
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引用次数: 0
Maximal Local Privacy Loss-A New Method for Privacy Evaluation of Synthetic Datasets. 最大局部隐私损失——一种新的合成数据集隐私评估方法。
IF 1.8 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2026-01-01 DOI: 10.1002/sim.70376
Sigrid Leithe, Bjørn Møller, Bjarte Aagnes, Yngvar Nilssen, Paul C Lambert, Tor Åge Myklebust

Synthetic patient data has the potential to advance research in the medical field by providing privacy-preserving access to data resembling sensitive personal data. Assessing the level of privacy offered is essential to ensure privacy compliance, but it is challenging in practice. Many common methods either fail to capture central aspects of privacy or result in excessive caution based on unrealistic worst-case scenarios. We present a new approach to evaluating the privacy of synthetic datasets from known probability distributions based on the maximal local privacy loss. The strategy is based on measuring individual contributions to the likelihood of generating a specific synthetic dataset, to detect possibilities of reconstructing records in the original data. To demonstrate the method, we generate synthetic time-to-event data based on pancreatic and colon cancer data from the Cancer Registry of Norway using sequential regressions including a flexible parametric survival model. This illustrates the method's ability to measure information leakage at an individual level, which can be used to ensure acceptable privacy risks for every patient in the data.

通过提供对类似于敏感个人数据的数据的隐私保护访问,合成患者数据有可能推进医疗领域的研究。评估所提供的隐私水平对于确保隐私合规至关重要,但在实践中具有挑战性。许多常见的方法要么无法捕捉隐私的核心方面,要么导致基于不切实际的最坏情况的过度谨慎。提出了一种基于最大局部隐私损失的基于已知概率分布的合成数据集隐私评估方法。该策略基于测量个人对生成特定合成数据集的可能性的贡献,以检测在原始数据中重建记录的可能性。为了演示该方法,我们使用包括灵活参数生存模型在内的顺序回归,基于挪威癌症登记处的胰腺癌和结肠癌数据生成了合成的事件时间数据。这说明了该方法在个人层面测量信息泄漏的能力,可用于确保数据中每个患者的隐私风险都是可接受的。
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引用次数: 0
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Statistics in Medicine
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