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This paper proposes an imputation procedure that uses the factors estimated from a tall block along with the re-rotated loadings estimated from a wide block to impute missing values in a panel of data. Assuming that a strong factor…

Econometrics · Economics 2021-08-13 Jushan Bai , Serena Ng

Multiplex networks are a powerful framework for representing systems with multiple types of interactions among a common set of entities. Understanding their structure requires statistical tools capturing higher-order cross-layer…

Statistics Theory · Mathematics 2026-03-30 Karl Sawaya , Sofia Olhede

Large-scale undirected weighted networks are usually found in big data-related research fields. It can naturally be quantified as a symmetric high-dimensional and incomplete (SHDI) matrix for implementing big data analysis tasks. A…

Machine Learning · Computer Science 2022-08-10 Zhe Xie , Weiling Li , Yurong Zhong

High-dimensional group inference is an essential part of statistical methods for analysing complex data sets, including hierarchical testing, tests of interaction, detection of heterogeneous treatment effects and inference for local…

Methodology · Statistics 2020-12-01 Zijian Guo , Claude Renaux , Peter Bühlmann , T. Tony Cai

The matrix factor model has drawn growing attention for its advantage in achieving two-directional dimension reduction simultaneously for matrix-structured observations. In this paper, we propose a simple iterative least squares algorithm…

Methodology · Statistics 2023-08-02 Yong He , Ran Zhao , Wen-Xin Zhou

We consider the problem of multi-task learning in the high dimensional setting. In particular, we introduce an estimator and investigate its statistical and computational properties for the problem of multiple connected linear regressions…

Machine Learning · Statistics 2023-07-03 Amir Asiaee , Samet Oymak , Kevin R. Coombes , Arindam Banerjee

In the context of time series forecasting, it is a common practice to evaluate multiple methods and choose one of these methods or an ensemble for producing the best forecasts. However, choosing among different ensembles over multiple…

Machine Learning · Computer Science 2021-12-16 Himanshi Charotia , Abhishek Garg , Gaurav Dhama , Naman Maheshwari

This paper develops an inferential theory for state-varying factor models of large dimensions. Unlike constant factor models, loadings are general functions of some recurrent state process. We develop an estimator for the latent factors and…

Econometrics · Economics 2020-10-20 Markus Pelger , Ruoxuan Xiong

In this paper, we introduce a novel high-dimensional Factor-Adjusted sparse Partially Linear regression Model (FAPLM), to integrate the linear effects of high-dimensional latent factors with the nonparametric effects of low-dimensional…

Methodology · Statistics 2025-01-14 Yanmei Shi , Meiling Hao , Yanlin Tang , Xu Guo

This paper considers the estimation and inference of the low-rank components in high-dimensional matrix-variate factor models, where each dimension of the matrix-variates ($p \times q$) is comparable to or greater than the number of…

Statistics Theory · Mathematics 2022-10-20 Elynn Y. Chen , Jianqing Fan

This paper presents an augmented deep factor model that generates latent factors for cross-sectional asset pricing. The conventional security sorting on firm characteristics for constructing long-short factor portfolio weights is nonlinear…

Methodology · Statistics 2024-12-11 Guanhao Feng , Jingyu He , Nicholas G. Polson , Jianeng Xu

This paper investigates causal influences between agents linked by a social graph and interacting over time. In particular, the work examines the dynamics of social learning models and distributed decision-making protocols, and derives…

Social and Information Networks · Computer Science 2026-05-19 Mert Kayaalp , Ali H. Sayed

This paper presents a significant advancement in the estimation of the Composite Link Model within a penalized likelihood framework, specifically designed to address indirect observations of grouped count data. While the model is effective…

Methodology · Statistics 2025-12-16 Carlo G. Camarda , María Durbán

Principal component analysis (PCA) is arguably the most widely used approach for large-dimensional factor analysis. While it is effective when the factors are sufficiently strong, it can be inconsistent when the factors are weak and/or the…

Methodology · Statistics 2025-08-22 Zhongyuan Lyu , Ming Yuan

This study deals with the missing link prediction problem: the problem of predicting the existence of missing connections between entities of interest. We address link prediction using coupled analysis of relational datasets represented as…

Machine Learning · Computer Science 2012-08-31 Beyza Ermiş , Evrim Acar , A. Taylan Cemgil

Multilayer networks have become increasingly ubiquitous across diverse scientific fields, ranging from social sciences and biology to economics and international relations. Despite their broad applications, the inferential theory for…

Methodology · Statistics 2026-02-24 Zhaozhe Liu , Gongjun Xu , Haoran Zhang

We consider tensor factorizations based on sparse measurements of the components of relatively high rank tensors. The measurements are designed in a way that the underlying graph of interactions is a random graph. The setup will be useful…

Machine Learning · Statistics 2026-04-15 Angelo Giorgio Cavaliere , Riki Nagasawa , Shuta Yokoi , Tomoyuki Obuchi , Hajime Yoshino

Precise representation of large-scale undirected network is the basis for understanding relations within a massive entity set. The undirected network representation task can be efficiently addressed by a symmetry non-negative latent factor…

Machine Learning · Computer Science 2022-03-09 Weiling Li , Xin Luo

Factor analysis is a well-known statistical method to describe the variability of observed variables in terms of a smaller number of unobserved latent variables called factors. Even though latent factors are conceptually independent of each…

Quantitative Methods · Quantitative Biology 2025-06-12 Marlis Ontivero-Ortega , Gorana Mijatovic , Luca Faes , Daniele Marinazzo , Sebastiano Stramaglia

We propose a factor network autoregressive (FNAR) model for time series with complex network structures. The coefficients of the model reflect many different types of connections between economic agents ("multilayer network"), which are…

Econometrics · Economics 2025-04-24 Matteo Barigozzi , Giuseppe Cavaliere , Graziano Moramarco