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DP2LM: leveraging deep learning approach for estimation and hypothesis testing on mediation effects with high-dimensional mediators and complex confounders. DP2LM:利用深度学习方法对具有高维中介因素和复杂混杂因素的中介效应进行估计和假设检验。
IF 1.8 3区 数学
Biostatistics Pub Date : 2024-07-01 DOI: 10.1093/biostatistics/kxad037
Shuoyang Wang, Yuan Huang
{"title":"DP2LM: leveraging deep learning approach for estimation and hypothesis testing on mediation effects with high-dimensional mediators and complex confounders.","authors":"Shuoyang Wang, Yuan Huang","doi":"10.1093/biostatistics/kxad037","DOIUrl":"10.1093/biostatistics/kxad037","url":null,"abstract":"<p><p>Traditional linear mediation analysis has inherent limitations when it comes to handling high-dimensional mediators. Particularly, accurately estimating and rigorously inferring mediation effects is challenging, primarily due to the intertwined nature of the mediator selection issue. Despite recent developments, the existing methods are inadequate for addressing the complex relationships introduced by confounders. To tackle these challenges, we propose a novel approach called DP2LM (Deep neural network-based Penalized Partially Linear Mediation). This approach incorporates deep neural network techniques to account for nonlinear effects in confounders and utilizes the penalized partially linear model to accommodate high dimensionality. Unlike most existing works that concentrate on mediator selection, our method prioritizes estimation and inference on mediation effects. Specifically, we develop test procedures for testing the direct and indirect mediation effects. Theoretical analysis shows that the tests maintain the Type-I error rate. In simulation studies, DP2LM demonstrates its superior performance as a modeling tool for complex data, outperforming existing approaches in a wide range of settings and providing reliable estimation and inference in scenarios involving a considerable number of mediators. Further, we apply DP2LM to investigate the mediation effect of DNA methylation on cortisol stress reactivity in individuals who experienced childhood trauma, uncovering new insights through a comprehensive analysis.</p>","PeriodicalId":55357,"journal":{"name":"Biostatistics","volume":" ","pages":"818-832"},"PeriodicalIF":1.8,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139708546","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bayesian joint models for multi-regional clinical trials. 用于多地区临床试验的贝叶斯联合模型。
IF 1.8 3区 数学
Biostatistics Pub Date : 2024-07-01 DOI: 10.1093/biostatistics/kxad023
Nathan W Bean, Joseph G Ibrahim, Matthew A Psioda
{"title":"Bayesian joint models for multi-regional clinical trials.","authors":"Nathan W Bean, Joseph G Ibrahim, Matthew A Psioda","doi":"10.1093/biostatistics/kxad023","DOIUrl":"10.1093/biostatistics/kxad023","url":null,"abstract":"<p><p>In recent years, multi-regional clinical trials (MRCTs) have increased in popularity in the pharmaceutical industry due to their ability to accelerate the global drug development process. To address potential challenges with MRCTs, the International Council for Harmonisation released the E17 guidance document which suggests the use of statistical methods that utilize information borrowing across regions if regional sample sizes are small. We develop an approach that allows for information borrowing via Bayesian model averaging in the context of a joint analysis of survival and longitudinal data from MRCTs. In this novel application of joint models to MRCTs, we use Laplace's method to integrate over subject-specific random effects and to approximate posterior distributions for region-specific treatment effects on the time-to-event outcome. Through simulation studies, we demonstrate that the joint modeling approach can result in an increased rejection rate when testing the global treatment effect compared with methods that analyze survival data alone. We then apply the proposed approach to data from a cardiovascular outcomes MRCT.</p>","PeriodicalId":55357,"journal":{"name":"Biostatistics","volume":" ","pages":"852-866"},"PeriodicalIF":1.8,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11247186/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10152517","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Bayesian nonparametric approach to correct for underreporting in count data. 一种贝叶斯非参数方法,用于纠正计数数据中的漏报。
IF 1.8 3区 数学
Biostatistics Pub Date : 2024-07-01 DOI: 10.1093/biostatistics/kxad027
Serena Arima, Silvia Polettini, Giuseppe Pasculli, Loreto Gesualdo, Francesco Pesce, Deni-Aldo Procaccini
{"title":"A Bayesian nonparametric approach to correct for underreporting in count data.","authors":"Serena Arima, Silvia Polettini, Giuseppe Pasculli, Loreto Gesualdo, Francesco Pesce, Deni-Aldo Procaccini","doi":"10.1093/biostatistics/kxad027","DOIUrl":"10.1093/biostatistics/kxad027","url":null,"abstract":"<p><p>We propose a nonparametric compound Poisson model for underreported count data that introduces a latent clustering structure for the reporting probabilities. The latter are estimated with the model's parameters based on experts' opinion and exploiting a proxy for the reporting process. The proposed model is used to estimate the prevalence of chronic kidney disease in Apulia, Italy, based on a unique statistical database covering information on m = 258 municipalities obtained by integrating multisource register information. Accurate prevalence estimates are needed for monitoring, surveillance, and management purposes; yet, counts are deemed to be considerably underreported, especially in some areas of Apulia, one of the most deprived and heterogeneous regions in Italy. Our results agree with previous findings and highlight interesting geographical patterns of the disease. We compare our model to existing approaches in the literature using simulated as well as real data on early neonatal mortality risk in Brazil, described in previous research: the proposed approach proves to be accurate and particularly suitable when partial information about data quality is available.</p>","PeriodicalId":55357,"journal":{"name":"Biostatistics","volume":" ","pages":"904-918"},"PeriodicalIF":1.8,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41161396","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analyzing microbial evolution through gene and genome phylogenies. 通过基因和基因组系统发育分析微生物进化。
IF 1.8 3区 数学
Biostatistics Pub Date : 2024-07-01 DOI: 10.1093/biostatistics/kxad025
Sarah Teichman, Michael D Lee, Amy D Willis
{"title":"Analyzing microbial evolution through gene and genome phylogenies.","authors":"Sarah Teichman, Michael D Lee, Amy D Willis","doi":"10.1093/biostatistics/kxad025","DOIUrl":"10.1093/biostatistics/kxad025","url":null,"abstract":"<p><p>Microbiome scientists critically need modern tools to explore and analyze microbial evolution. Often this involves studying the evolution of microbial genomes as a whole. However, different genes in a single genome can be subject to different evolutionary pressures, which can result in distinct gene-level evolutionary histories. To address this challenge, we propose to treat estimated gene-level phylogenies as data objects, and present an interactive method for the analysis of a collection of gene phylogenies. We use a local linear approximation of phylogenetic tree space to visualize estimated gene trees as points in low-dimensional Euclidean space, and address important practical limitations of existing related approaches, allowing an intuitive visualization of complex data objects. We demonstrate the utility of our proposed approach through microbial data analyses, including by identifying outlying gene histories in strains of Prevotella, and by contrasting Streptococcus phylogenies estimated using different gene sets. Our method is available as an open-source R package, and assists with estimating, visualizing, and interacting with a collection of bacterial gene phylogenies.</p>","PeriodicalId":55357,"journal":{"name":"Biostatistics","volume":" ","pages":"786-800"},"PeriodicalIF":1.8,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11247178/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66784613","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Bayesian nonparametric approach for multiple mediators with applications in mental health studies. 应用于心理健康研究的贝叶斯非参数多重中介方法。
IF 1.8 3区 数学
Biostatistics Pub Date : 2024-07-01 DOI: 10.1093/biostatistics/kxad038
Samrat Roy, Michael J Daniels, Jason Roy
{"title":"A Bayesian nonparametric approach for multiple mediators with applications in mental health studies.","authors":"Samrat Roy, Michael J Daniels, Jason Roy","doi":"10.1093/biostatistics/kxad038","DOIUrl":"10.1093/biostatistics/kxad038","url":null,"abstract":"<p><p>Mediation analysis with contemporaneously observed multiple mediators is a significant area of causal inference. Recent approaches for multiple mediators are often based on parametric models and thus may suffer from model misspecification. Also, much of the existing literature either only allow estimation of the joint mediation effect or estimate the joint mediation effect just as the sum of individual mediator effects, ignoring the interaction among the mediators. In this article, we propose a novel Bayesian nonparametric method that overcomes the two aforementioned drawbacks. We model the joint distribution of the observed data (outcome, mediators, treatment, and confounders) flexibly using an enriched Dirichlet process mixture with three levels. We use standardization (g-computation) to compute all possible mediation effects, including pairwise and all other possible interaction among the mediators. We thoroughly explore our method via simulations and apply our method to a mental health data from Wisconsin Longitudinal Study, where we estimate how the effect of births from unintended pregnancies on later life mental depression (CES-D) among the mothers is mediated through lack of self-acceptance and autonomy, employment instability, lack of social participation, and increased family stress. Our method identified significant individual mediators, along with some significant pairwise effects.</p>","PeriodicalId":55357,"journal":{"name":"Biostatistics","volume":" ","pages":"919-932"},"PeriodicalIF":1.8,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11247183/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139708545","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Variable selection in high dimensions for discrete-outcome individualized treatment rules: Reducing severity of depression symptoms. 离散结果的高维度变量选择个性化治疗规则:降低抑郁症状的严重程度。
IF 1.8 3区 数学
Biostatistics Pub Date : 2024-07-01 DOI: 10.1093/biostatistics/kxad022
Erica E M Moodie, Zeyu Bian, Janie Coulombe, Yi Lian, Archer Y Yang, Susan M Shortreed
{"title":"Variable selection in high dimensions for discrete-outcome individualized treatment rules: Reducing severity of depression symptoms.","authors":"Erica E M Moodie, Zeyu Bian, Janie Coulombe, Yi Lian, Archer Y Yang, Susan M Shortreed","doi":"10.1093/biostatistics/kxad022","DOIUrl":"10.1093/biostatistics/kxad022","url":null,"abstract":"<p><p>Despite growing interest in estimating individualized treatment rules, little attention has been given the binary outcome setting. Estimation is challenging with nonlinear link functions, especially when variable selection is needed. We use a new computational approach to solve a recently proposed doubly robust regularized estimating equation to accomplish this difficult task in a case study of depression treatment. We demonstrate an application of this new approach in combination with a weighted and penalized estimating equation to this challenging binary outcome setting. We demonstrate the double robustness of the method and its effectiveness for variable selection. The work is motivated by and applied to an analysis of treatment for unipolar depression using a population of patients treated at Kaiser Permanente Washington.</p>","PeriodicalId":55357,"journal":{"name":"Biostatistics","volume":" ","pages":"633-647"},"PeriodicalIF":1.8,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10201574","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An integrative latent class model of heterogeneous data modalities for diagnosing kidney obstruction. 诊断肾梗阻的异质性数据模式的综合潜在类模型。
IF 1.8 3区 数学
Biostatistics Pub Date : 2024-07-01 DOI: 10.1093/biostatistics/kxad020
Jeong Hoon Jang, Changgee Chang, Amita K Manatunga, Andrew T Taylor, Qi Long
{"title":"An integrative latent class model of heterogeneous data modalities for diagnosing kidney obstruction.","authors":"Jeong Hoon Jang, Changgee Chang, Amita K Manatunga, Andrew T Taylor, Qi Long","doi":"10.1093/biostatistics/kxad020","DOIUrl":"10.1093/biostatistics/kxad020","url":null,"abstract":"<p><p>Radionuclide imaging plays a critical role in the diagnosis and management of kidney obstruction. However, most practicing radiologists in US hospitals have insufficient time and resources to acquire training and experience needed to interpret radionuclide images, leading to increased diagnostic errors. To tackle this problem, Emory University embarked on a study that aims to develop a computer-assisted diagnostic (CAD) tool for kidney obstruction by mining and analyzing patient data comprised of renogram curves, ordinal expert ratings on the obstruction status, pharmacokinetic variables, and demographic information. The major challenges here are the heterogeneity in data modes and the lack of gold standard for determining kidney obstruction. In this article, we develop a statistically principled CAD tool based on an integrative latent class model that leverages heterogeneous data modalities available for each patient to provide accurate prediction of kidney obstruction. Our integrative model consists of three sub-models (multilevel functional latent factor regression model, probit scalar-on-function regression model, and Gaussian mixture model), each of which is tailored to the specific data mode and depends on the unknown obstruction status (latent class). An efficient MCMC algorithm is developed to train the model and predict kidney obstruction with associated uncertainty. Extensive simulations are conducted to evaluate the performance of the proposed method. An application to an Emory renal study demonstrates the usefulness of our model as a CAD tool for kidney obstruction.</p>","PeriodicalId":55357,"journal":{"name":"Biostatistics","volume":" ","pages":"769-785"},"PeriodicalIF":1.8,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11247177/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10252590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Quantification and statistical modeling of droplet-based single-nucleus RNA-sequencing data. 基于液滴的单核rna测序数据的量化和统计建模。
IF 1.8 3区 数学
Biostatistics Pub Date : 2024-07-01 DOI: 10.1093/biostatistics/kxad010
Albert Kuo, Kasper D Hansen, Stephanie C Hicks
{"title":"Quantification and statistical modeling of droplet-based single-nucleus RNA-sequencing data.","authors":"Albert Kuo, Kasper D Hansen, Stephanie C Hicks","doi":"10.1093/biostatistics/kxad010","DOIUrl":"10.1093/biostatistics/kxad010","url":null,"abstract":"<p><p>In complex tissues containing cells that are difficult to dissociate, single-nucleus RNA-sequencing (snRNA-seq) has become the preferred experimental technology over single-cell RNA-sequencing (scRNA-seq) to measure gene expression. To accurately model these data in downstream analyses, previous work has shown that droplet-based scRNA-seq data are not zero-inflated, but whether droplet-based snRNA-seq data follow the same probability distributions has not been systematically evaluated. Using pseudonegative control data from nuclei in mouse cortex sequenced with the 10x Genomics Chromium system and mouse kidney sequenced with the DropSeq system, we found that droplet-based snRNA-seq data follow a negative binomial distribution, suggesting that parametric statistical models applied to scRNA-seq are transferable to snRNA-seq. Furthermore, we found that the quantification choices in adapting quantification mapping strategies from scRNA-seq to snRNA-seq can play a significant role in downstream analyses and biological interpretation. In particular, reference transcriptomes that do not include intronic regions result in significantly smaller library sizes and incongruous cell type classifications. We also confirmed the presence of a gene length bias in snRNA-seq data, which we show is present in both exonic and intronic reads, and investigate potential causes for the bias.</p>","PeriodicalId":55357,"journal":{"name":"Biostatistics","volume":" ","pages":"801-817"},"PeriodicalIF":1.8,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11247185/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9551865","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Blurring cluster randomized trials and observational studies: Two-Stage TMLE for subsampling, missingness, and few independent units. 模糊分组随机试验和观察研究:针对子抽样、缺失和少数独立单位的两阶段 TMLE。
IF 1.8 3区 数学
Biostatistics Pub Date : 2024-07-01 DOI: 10.1093/biostatistics/kxad015
Joshua R Nugent, Carina Marquez, Edwin D Charlebois, Rachel Abbott, Laura B Balzer
{"title":"Blurring cluster randomized trials and observational studies: Two-Stage TMLE for subsampling, missingness, and few independent units.","authors":"Joshua R Nugent, Carina Marquez, Edwin D Charlebois, Rachel Abbott, Laura B Balzer","doi":"10.1093/biostatistics/kxad015","DOIUrl":"10.1093/biostatistics/kxad015","url":null,"abstract":"<p><p>Cluster randomized trials (CRTs) often enroll large numbers of participants; yet due to resource constraints, only a subset of participants may be selected for outcome assessment, and those sampled may not be representative of all cluster members. Missing data also present a challenge: if sampled individuals with measured outcomes are dissimilar from those with missing outcomes, unadjusted estimates of arm-specific endpoints and the intervention effect may be biased. Further, CRTs often enroll and randomize few clusters, limiting statistical power and raising concerns about finite sample performance. Motivated by SEARCH-TB, a CRT aimed at reducing incident tuberculosis infection, we demonstrate interlocking methods to handle these challenges. First, we extend Two-Stage targeted minimum loss-based estimation to account for three sources of missingness: (i) subsampling; (ii) measurement of baseline status among those sampled; and (iii) measurement of final status among those in the incidence cohort (persons known to be at risk at baseline). Second, we critically evaluate the assumptions under which subunits of the cluster can be considered the conditionally independent unit, improving precision and statistical power but also causing the CRT to behave like an observational study. Our application to SEARCH-TB highlights the real-world impact of different assumptions on measurement and dependence; estimates relying on unrealistic assumptions suggested the intervention increased the incidence of TB infection by 18% (risk ratio [RR]=1.18, 95% confidence interval [CI]: 0.85-1.63), while estimates accounting for the sampling scheme, missingness, and within community dependence found the intervention decreased the incident TB by 27% (RR=0.73, 95% CI: 0.57-0.92).</p>","PeriodicalId":55357,"journal":{"name":"Biostatistics","volume":" ","pages":"599-616"},"PeriodicalIF":1.8,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11247188/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10516286","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Uncertainty directed factorial clinical trials. 不确定性指导的因子临床试验。
IF 1.8 3区 数学
Biostatistics Pub Date : 2024-07-01 DOI: 10.1093/biostatistics/kxad036
Gopal Kotecha, Steffen Ventz, Sandra Fortini, Lorenzo Trippa
{"title":"Uncertainty directed factorial clinical trials.","authors":"Gopal Kotecha, Steffen Ventz, Sandra Fortini, Lorenzo Trippa","doi":"10.1093/biostatistics/kxad036","DOIUrl":"10.1093/biostatistics/kxad036","url":null,"abstract":"<p><p>The development and evaluation of novel treatment combinations is a key component of modern clinical research. The primary goals of factorial clinical trials of treatment combinations range from the estimation of intervention-specific effects, or the discovery of potential synergies, to the identification of combinations with the highest response probabilities. Most factorial studies use balanced or block randomization, with an equal number of patients assigned to each treatment combination, irrespective of the specific goals of the trial. Here, we introduce a class of Bayesian response-adaptive designs for factorial clinical trials with binary outcomes. The study design was developed using Bayesian decision-theoretic arguments and adapts the randomization probabilities to treatment combinations during the enrollment period based on the available data. Our approach enables the investigator to specify a utility function representative of the aims of the trial, and the Bayesian response-adaptive randomization algorithm aims to maximize this utility function. We considered several utility functions and factorial designs tailored to them. Then, we conducted a comparative simulation study to illustrate relevant differences of key operating characteristics across the resulting designs. We also investigated the asymptotic behavior of the proposed adaptive designs. We also used data summaries from three recent factorial trials in perioperative care, smoking cessation, and infectious disease prevention to define realistic simulation scenarios and illustrate advantages of the introduced trial designs compared to other study designs.</p>","PeriodicalId":55357,"journal":{"name":"Biostatistics","volume":" ","pages":"833-851"},"PeriodicalIF":1.8,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11247193/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139708548","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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