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Asymptotic FDR Control with Model-X Knockoffs: Is Moments Matching Sufficient?

Model-X Knockoffs 的渐近错误发现率控制:矩匹配是否足够?

We propose a unified theoretical framework for studying the robustness of the model-X knockoffs framework by investigating the asymptotic false discovery rate (FDR) control of the practically implemented approximate knockoffs procedure. This procedure deviates from the model-X knockoffs framework by substituting the true covariate distribution with a user-specified distribution that can be learned using in-sample observations. By replacing the distributional exchangeability…

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Privacy-Preserving Transfer Learning for Community Detection using Locally Distributed Multiple Networks

本地分布式多网络社区检测的隐私保护迁移学习

Modern applications increasingly involve highly sensitive network data, where raw edges cannot be shared due to privacy constraints. We propose \texttt{TransNet}, a new spectral clustering-based transfer learning framework that improves community detection on a \emph{target network} by leveraging heterogeneous, locally stored, and privacy-preserved auxiliary \emph{source networks}. Our focus is the \textit{local differential privacy} regime, in which each local data provider…

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Model-free Feature Screening and False Discovery Control for High-dimensional Quantile Regressions

高维分位数回归的无模型特征筛选与错误发现控制

High-dimensional quantile regressions are powerful tools for capturing the diverse relationships between predictors and response variables across different quantile levels. However, existing feature screening methods for quantile regressions often rely on restrictive model assumptions, limiting their applicability in complex data settings. In this paper, we propose a novel model-free feature screening framework for high-dimensional quantile regressions, leveraging a novel…

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Bending the Learning Curve for EHR Research via Knowledge-Driven Online Multimodal Automated Phenotyping System

通过知识驱动的在线多模态自动表型系统降低电子健康记录研究门槛

Electronic health records (EHRs) hold great promise for translational research but remain difficult to use at scale because diagnostic codes are noisy, disease-relevant features are hard to identify, high-quality labels are limited and patient-level data sharing is often restricted. We introduce Knowledge-driven Online Multimodal Automated Phenotyping (KOMAP), a unified system for automated, privacy-preserving EHR phenotyping using summary statistics. The system is organized…

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A Distributionally Robust Optimization Framework for Extreme Event Estimation

极端事件估计的分布鲁棒优化框架

Conventional methods for extreme event estimation rely on well-chosen parametric models asymptotically justified from extreme value theory (EVT). These methods, while powerful and theoretically grounded, could however encounter a difficult bias-variance tradeoff that exacerbates especially when data size is too small, deteriorating the reliability of the tail estimation. In this paper, we study a framework based on the recently surging literature of distributionally robust…

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Optimal Federated Learning for Nonparametric Regression with Heterogeneous Distributed Differential Privacy Constraints

异质分布式隐私约束下非参数回归的最优联邦学习

This paper investigates federated learning for nonparametric regression under heterogeneous differential privacy (DP) constraints. Data is distributed across multiple servers with varying sample sizes and privacy budgets, with each server communicating privatized summaries to a central aggregator. Our work operates within the Federated Differential Privacy (FDP) framework, which generalizes both local and central DP frameworks.We establish the minimax optimal rates of…

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Taxonomy and Estimation of Multiple Breakpoints in High-Dimensional Factor Models*

高维因子模型中多个结构断点的分类与估计

This paper proposes a quasi-maximum likelihood (QML) estimator for break points in high-dimensional factor models, specifically accounting for multiple structural breaks. We begin by establishing a necessary and sufficient condition to categorize two distinct types of breaks in factor loadings: singular changes and rotational changes. The analysis of the nearly singular subsample covariance matrices of the pseudo-factors plays a key role in our approach. It allows us to…

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Guided Adversarial Robust Transfer Learning with Source Mixing

结合源分布混合的引导式对抗鲁棒迁移学习

Transfer learning is a critical technique that enables the application of knowledge gained from existing tasks or domains to improve performance on a new one, reducing the need for extensive data and training in each new context. Many existing transfer learning methods rely on leveraging information from source populations closely resembling the target population. However, this approach often overlooks valuable knowledge that may be present in different yet potentially…

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Nonparametric Statistics on Stratified Spaces and Their Applications in Object Data Analysis.

分层空间上的非参数统计及其在对象数据分析中的应用

Victor Patrangenaru and Daniel E. Osborne. Boca Raton, FL: Chapman & Hall/CRC Press, 2025, xv + 187 pp., $189.99(H), ISBN: 978-1-138-04313-8.Nowadays, more and more data we meet are not just simple...

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Representation Retrieval Learning for Heterogeneous Data Integration

异质数据整合的表征检索学习

In the era of big data, large-scale, multi-source, multi-modality datasets are increasingly ubiquitous, offering unprecedented opportunities for predictive modeling and scientific discovery. However, these datasets often exhibit complex heterogeneity, such as covariates shift, posterior drift, and blockwise missingness, which worsen predictive performance of existing supervised learning algorithms. To address these challenges simultaneously, we propose a novel Representation…

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A Unified Framework for Rerandomization using Quadratic Forms

基于二次型的再随机化统一框架

When designing a randomized experiment, one way to ensure treatment and control groups exhibit similar covariate distributions is to randomize treatment until some prespecified level of covariate balance is satisfied; this strategy is known as rerandomization. Most rerandomization methods utilize balance metrics based on a quadratic form vTAv, where v is a vector of covariate mean differences and A is a positive semi-definite matrix. In this work, we derive general results…

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Observable versus Latent Factors

可观测因子与潜在因子

We test for temporal stability in local linear projection coefficients of observable factors on latent ones embedded in a high-dimensional vector obeying a linear factor model. The proposed test explores the fact that, under the null hypothesis, residuals from global linear projections of observable factors on latent ones, computed over a fixed time interval via Principal Component Analysis (PCA), should also be locally uncorrelated with the PCA factors. The test is fully…

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Bayesian Spatiotemporal Wombling

贝叶斯时空变化边界识别

Stochastic process models for spatiotemporal data underlying random fields find substantial utility in a range of scientific disciplines. Subsequent to predictive inference on the values of the random field (or spatial surface indexed continuously over time) at arbitrary space-time coordinates, scientific interest often turns to gleaning information regarding zones of rapid spatial-temporal change. We develop Bayesian modeling and inference for directional rates of change…

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Empirical Bayes in Bayesian learning: understanding a common practice

贝叶斯学习中的经验贝叶斯:理解一种常见实践

In applications of Bayesian procedures, once a class of priors has been chosen, it may be tempting to fix the prior's hyperparameters from the data, in an empirical Bayes (EB) fashion, usually by their maximum marginal likelihood estimates (MMLE). This is a quite common but questionable practice, lacking a rigorous theoretical basis. We provide a theoretical framework where this form of EB is regarded as a computational strategy for approximating a genuine Bayesian posterior…

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Prediction When Factors are Weak

弱因子情形下的预测

In economic forecasting, principal component analysis (PCA) has been the most prevalent approach to the recovery of factors, which summarize information in a large set of predictors. Nevertheless, the theoretical justification of this approach often relies on a convenient and critical assumption that factors are pervasive. To incorporate information from weaker factors, we propose a new prediction procedure based on supervised PCA, which iterates over selection, PCA, and…

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Double Generalized Linear Models: Likelihood and Bayesian Methods

双重广义线性模型:似然与贝叶斯方法

Edilberto Cepeda-Cuervo. Boca Raton, FL: Chapman & Hall/CRC Press, 2026, xiii + 146 pp., $159.99(e-book), $66.99(H), ISBN: 978-1-003-68741-2(e-book), ISBN: 978-1-041-16997-0(H).In generalized linea...

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Collective Outlier Detection and Enumeration with Conformalized Closed Testing

基于共形化闭合检验的集体异常检测与计数

This paper develops a flexible distribution-free method for collective outlier detection and enumeration, designed for situations in which the presence of outliers can be detected powerfully even though their precise identification may be challenging due to the sparsity, weakness, or elusiveness of their signals. This method builds upon recent developments in conformal inference and integrates classical ideas from other areas, including multiple testing, locally most…

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Beta-Trees: Multivariate Histograms With Confidence Statements

Beta 树:具有置信陈述的多元直方图

Multivariate histograms are difficult to construct due to the curse of dimensionality. Motivated by k-d trees in computer science, we show how to construct an efficient data-adaptive partition of Euclidean space that possesses the following two properties: With high confidence the distribution from which the data are generated is close to uniform on each rectangle of the partition; and despite the data-dependent construction we can give guaranteed finite sample simultaneous…

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Adjusting Auxiliary Variables under Approximate Neighborhood Interference

近似邻域干扰下的辅助变量调整

Randomized experiments are the gold standard for causal inference. However, traditional assumptions, such as the Stable Unit Treatment Value Assumption (SUTVA), often fail in real-world settings where interference between units is present. Network interference, in particular, has garnered significant attention. Structural models, like the linear-in-means model, are commonly used to describe interference, but they rely on the correct specification of the model, which can be…

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Transfer Learning for Covariance Matrix Estimation: Optimality and Adaptivity

协方差矩阵估计中的迁移学习:最优性与自适应性

Transfer learning, which leverages auxiliary data to improve inference in a target domain, has become a powerful tool in machine learning. In this work, we study minimax and adaptive estimation of large bandable covariance matrices under a transfer learning framework.We first establish the minimax rate of convergence under squared spectral norm loss and propose a rate-optimal estimator. Our analysis reveals phase transitions determined by the source-target disparity, the…

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Quantile regression for censored data with a cure fraction

含治愈比例的删失数据分位数回归

Quantile regression is emerging as a valuable statistical tool for exploring complete information on the exposure-outcome relationship. This paper investigates a novel inference procedure for quantile regression models to analyze survival data with a cure fraction. A two-component mixture cure model is used, in which the cure fraction follows a logistic model and the uncured individuals follow a linear quantile regression model. Our main interest lies in the estimation of…

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Complete Sample Likelihood Estimation and Inference for Single and Multi-Stage Sample Surveys

单阶段与多阶段抽样调查的完整样本似然估计与推断

In the analysis of sample surveys, accounting for informative sampling design is critical to ensure estimates of model parameters such as regression coefficients are not systematically biased. One popular solution is maximum pseudo-likelihood estimation, which incorporates weights given by functions of the selection probabilities. In this article, we propose an alternative method for analytical estimation and inference in sample surveys known as complete sample likelihood or…

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A General Latent Embedding Approach for Modeling Non-uniform High-dimensional Sparse Hypergraphs with Multiplicity

非均匀高维稀疏多重超图的通用潜在嵌入建模

Recent research has shown growing interest in modeling hypergraphs, which capture polyadic interactions among entities beyond traditional dyadic relations. However, most existing methodologies for hypergraphs face significant limitations, including their heavy reliance on uniformity restrictions for hyperlink orders and their inability to account for repeated observations of identical hyperlinks. In this work, we introduce a novel and general latent embedding approach that…

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Robust Regression under Adversarial Contamination: Theory and Algorithms for the Welsch Estimator

对抗性污染下的稳健回归:Welsch 估计量的理论与算法

Convex and penalized robust regression methods often suffer from a persistent bias induced by large outliers, limiting their effectiveness in adversarial or heavy-tailed settings. In this work, we study a smooth redescending non-convex M-estimator, specifically the Welsch estimator, and show that it can eliminate this bias whenever it is statistically identifiable. We focus on high-dimensional linear regression under adversarial contamination, where a fraction of samples may…

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