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For multiple index models, it has recently been shown that the sliced inverse regression (SIR) is consistent for estimating the sufficient dimension reduction (SDR) space if and only if $\rho=\lim\frac{p}{n}=0$, where $p$ is the dimension…

Statistics Theory · Mathematics 2018-06-19 Qian Lin , Zhigen Zhao , Jun S. Liu

Compressive-sensing-based uncertainty quantification methods have become a pow- erful tool for problems with limited data. In this work, we use the sliced inverse regression (SIR) method to provide an initial guess for the alternating…

Numerical Analysis · Mathematics 2018-09-11 Xiu Yang , Weixuan Li , Alexandre Tartakovsky

The discovery of clinical biomarkers requires large patient cohorts and is aided by a pooled data approach across institutions. In many countries, data protection constraints, especially in the clinical environment, forbid the exchange of…

Machine Learning · Statistics 2023-10-03 Daniela Zöller , Harald Binder

Integrative analysis of multiple datasets for estimating optimal individualized treatment rules (ITRs) can enhance decision efficiency. A central challenge is posterior shift, wherein the conditional distribution of potential outcomes given…

Machine Learning · Statistics 2026-03-09 Wenhai Cui , Wen Su , Xingqiu Zhao

We propose a new method, semi-penalized inference with direct false discovery rate control (SPIDR), for variable selection and confidence interval construction in high-dimensional linear regression. SPIDR first uses a semi-penalized…

Methodology · Statistics 2013-12-02 Jian Huang , Shuangge Ma , Cun-Hui Zhang , Yong Zhou

Spatial autoregressive (SAR) models are important tools for studying network effects. However, with an increasing emphasis on data privacy, data providers often implement privacy protection measures that make classical SAR models…

Methodology · Statistics 2024-07-30 Danyang Huang , Ziyi Kong , Shuyuan Wu , Hansheng Wang

The COVID-19 pandemic has had worldwide devastating effects on human lives, highlighting the need for tools to predict its development. Dynamics of such public-health threats can often be efficiently analysed through simple models that help…

Populations and Evolution · Quantitative Biology 2021-06-04 Pedro L. de Andres , Lucia de Andres-Bragado , Linard D. Hoessly

Existing person re-identification models are poor for scaling up to large data required in real-world applications due to: (1) Complexity: They employ complex models for optimal performance resulting in high computational cost for training…

Computer Vision and Pattern Recognition · Computer Science 2016-12-06 Hanxiao Wang , Shaogang Gong , Tao Xiang

Attackers have developed ever more sophisticated and intelligent ways to hack information and communication technology systems. The extent of damage an individual hacker can carry out upon infiltrating a system is well understood. A…

Cryptography and Security · Computer Science 2018-08-20 Cosimo Ieracitano , Ahsan Adeel , Mandar Gogate , Kia Dashtipour , Francesco Carlo Morabito , Hadi Larijani , Ali Raza , Amir Hussain

Sparse variable selection improves interpretability and generalization in high-dimensional learning by selecting a small subset of informative features. Recent advances in Mixed Integer Programming (MIP) have enabled solving large-scale…

Machine Learning · Statistics 2025-10-28 Petros Prastakos , Kayhan Behdin , Rahul Mazumder

As a fundamental problem in machine learning and differential privacy (DP), DP linear regression has been extensively studied. However, most existing methods focus primarily on either regular data distributions or low-dimensional cases with…

Machine Learning · Computer Science 2025-06-10 Xizhi Tian , Meng Ding , Touming Tao , Zihang Xiang , Di Wang

Nowadays, massive datasets are typically dispersed across multiple locations, encountering dual challenges of high dimensionality and huge sample size. Therefore, it is necessary to explore sufficient dimension reduction (SDR) methods for…

Methodology · Statistics 2025-09-16 Hongying Li , Minyi Zhu , Yaqi Cao , Xinyi Xu

We revisit the problem of federated learning (FL) with private data from people who do not trust the server or other silos/clients. In this context, every silo (e.g. hospital) has data from several people (e.g. patients) and needs to…

Machine Learning · Computer Science 2024-09-10 Changyu Gao , Andrew Lowy , Xingyu Zhou , Stephen J. Wright

A new dimension reduction method based on Gaussian finite mixtures is proposed as an extension to sliced inverse regression (SIR). The model-based SIR (MSIR) approach allows the main limitation of SIR to be overcome, i.e., failure in the…

Methodology · Statistics 2015-08-11 Luca Scrucca

Data silos, mainly caused by privacy and interoperability, significantly constrain collaborations among different organizations with similar data for the same purpose. Distributed learning based on divide-and-conquer provides a promising…

Machine Learning · Computer Science 2023-09-11 Di Wang , Xiaotong Liu , Shao-Bo Lin , Ding-Xuan Zhou

We present a new efficient hybrid parameter estimation method based on the idea, that if nonlinear dynamic models are stated in terms of a system of equations that is linear in terms of the parameters, then regularized ordinary least…

Heterogeneous information networks (HINs) are ubiquitous in real-world applications. In the meantime, network embedding has emerged as a convenient tool to mine and learn from networked data. As a result, it is of interest to develop HIN…

Social and Information Networks · Computer Science 2018-07-11 Yu Shi , Qi Zhu , Fang Guo , Chao Zhang , Jiawei Han

A bottleneck of sufficient dimension reduction (SDR) in the modern era is that, among numerous methods, only the sliced inverse regression (SIR) is generally applicable under the high-dimensional settings. The higher-order inverse…

Methodology · Statistics 2024-07-24 Yin Jin , Wei Luo

Integrative analysis of datasets generated by multiple cohorts is a widely-used approach for increasing sample size, precision of population estimators, and generalizability of analysis results in epidemiological studies. However, often…

In multicenter research, individual-level data are often protected against sharing across sites. To overcome the barrier of data sharing, many distributed algorithms, which only require sharing aggregated information, have been developed.…

Methodology · Statistics 2021-03-25 Rui Duan , Yang Ning , Yong Chen