-
作者：Yu, Xianshi; Zhu, Ji
作者单位：University of Michigan System; University of Michigan
摘要：While relations among individuals make an important part of data with scientific and business interests, existing statistical modeling of relational data has mainly been focusing on dyadic relations, that is, those between two individuals. This article addresses the less studied, though commonly encountered, polyadic relations that can involve more than two individuals. In particular, we propose a new latent space model for hypergraphs using determinantal point processes, which is driven by th...
-
作者：Liu, Dungang; Lin, Zewei; Zhang, Heping
作者单位：University System of Ohio; University of Cincinnati; Texas State University System; Texas State University San Marcos; Yale University; Yale University; Yale University
摘要：Model diagnostics is an indispensable component in regression analysis, yet it has not been well addressed in generalized linear models (GLMs). When outcome data are discrete, classical Pearson and deviance residuals have limited utility in generating diagnostic insights. This article establishes a novel diagnostic framework for GLMs and their extensions. Unlike the convention of using a point statistic as a residual, we propose to use a function as a vehicle to retain residual information. In...
-
作者：Xie, Yangxinyu; Li, Xiang; Mallick, Tanwi; Su, Weijie; Zhang, Ruixun
作者单位：University of Pennsylvania; University of Pennsylvania; Pennsylvania Medicine; United States Department of Energy (DOE); Argonne National Laboratory; Peking University; Peking University; University of Oxford; University of Oxford
摘要：Watermarking language models is essential for distinguishing between human and machine-generated text and thus maintaining the integrity and trustworthiness of digital communication. We present a novel green/red list watermarking approach that partitions the token set into green and red lists, subtly increasing the generation probability for green tokens. To correct token distribution bias, our method employs maximal coupling, using a uniform coin flip to decide whether to apply bias correctio...
-
作者：Du, Jin-Hong; Wasserman, Larry; Roeder, Kathryn
作者单位：Carnegie Mellon University; Carnegie Mellon University; Carnegie Mellon University
摘要：Tens of thousands of simultaneous hypothesis tests are routinely performed in genomic studies to identify differentially expressed genes. However, due to unmeasured confounders, many standard statistical approaches may be substantially biased. This article investigates the large-scale hypothesis testing problem for multivariate generalized linear models in the presence of confounding effects. Under arbitrary confounding mechanisms, we propose a unified statistical estimation and inference fram...
-
作者：Wen, Shoudao; Li, Yi; Kong, Dehan; Lin, Huazhen
作者单位：Southwestern University of Finance & Economics - China; Southwestern University of Finance & Economics - China; University of Michigan System; University of Michigan; University of Toronto
摘要：Alzheimer's disease (AD) is a prevalent and irreversible brain disorder and early prediction of cognitive function is vital for detecting the onset. The volumes of brain regions can serve as features for predicting cognitive decline, facilitating early detection and intervention. In order to offer a comprehensive representation of brain tissue changes in AD, we employ volume density curves to investigate the relationship between brain regions and cognitive function. However, analyzing these vo...
-
作者：Krampe, Jonas; Paparoditis, Efstathios
作者单位：Cornell University; University of Cyprus
摘要：Analyzing time series in the frequency domain enables the development of powerful tools for investigating the second-order characteristics of multivariate processes. Parameters like the spectral density matrix and its inverse, the coherence or the partial coherence, encode comprehensively the complex linear relations between the component processes of the multivariate system. In this article, we develop inference procedures for such parameters in a high-dimensional, time series setup. Toward t...
-
作者：Han, Dongxiao; Zheng, Siming; Shen, Guohao; Song, Xinyuan; Sun, Liuquan; Huang, Jian
作者单位：Nankai University; Nankai University; Chinese University of Hong Kong; Hong Kong Polytechnic University; Chinese Academy of Sciences; Nanjing Institute of Geology & Paleontology, CAS; Academy of Mathematics & System Sciences, CAS; Hong Kong Polytechnic University
摘要：This article introduces a unified approach to estimating the mutual density ratio, defined as the ratio between the joint density function and the product of the individual marginal density functions of two random vectors. It serves as a fundamental measure for quantifying the relationship between two random vectors. Our method uses the Bregman divergence to construct the objective function and leverages deep neural networks to approximate the logarithm of the mutual density ratio. We establis...
-
作者：Kim, Myungjin; Wang, Lily; Wang, Huixia Judy
作者单位：Kyungpook National University (KNU); George Mason University; George Washington University
摘要：This article presents a flexible quantile spatially varying coefficient model (QSVCM) for the regression analysis of spatial data. The proposed model enables researchers to assess the dependence of conditional quantiles of the response variable on covariates while accounting for spatial nonstationarity. Our approach facilitates learning and interpreting heterogeneity in spatial data distributed over complex or irregular domains. We introduce a quantile regression method that uses bivariate pen...
-
作者：Pearce, Michael; Erosheva, Elena A.
作者单位：Reed College - Portland; University of Washington; University of Washington Seattle; University of Washington; University of Washington Seattle
摘要：Rankings and ratings are commonly used to express preferences but provide distinct and complementary information. Rankings give ordinal and scale-free comparisons but lack granularity; ratings provide cardinal and granular assessments but may be highly subjective or inconsistent. Collecting and analyzing rankings and ratings jointly has not been performed until recently due to a lack of principled methods. In this work, we propose a flexible, joint statistical model for rankings and ratings-th...
-
作者：Sanso, Bruno
作者单位：University of California System; University of California Santa Cruz
