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We propose modeling raw functional data as a mixture of a smooth function and a high-dimensional factor component. The conventional approach to retrieving the smooth function from the raw data is through various smoothing techniques.…

Methodology · Statistics 2022-04-13 Yuan Gao , Han Lin Shang , Yanrong Yang

We study semiparametric factor models in high-dimensional panels where the factor loadings consist of a nonparametric component explained by observed covariates and an idiosyncratic component capturing unobserved heterogeneity. A key…

Methodology · Statistics 2025-12-09 Sijie Zheng

It is increasingly common to collect data of multiple different types on the same set of samples. Our focus is on studying relationships between such multiview features and responses. A motivating application arises in the context of…

Machine Learning · Statistics 2026-01-26 Niccolo Anceschi , Federico Ferrari , David B. Dunson , Himel Mallick

We analyze the dynamics of an algorithm for approximate inference with large Gaussian latent variable models in a student-teacher scenario. To model nontrivial dependencies between the latent variables, we assume random covariance matrices…

Machine Learning · Computer Science 2020-08-26 Burak Çakmak , Manfred Opper

We establish statistical properties of random-weighting methods in LASSO regression under different regularization parameters $\lambda_n$ and suitable regularity conditions. The random-weighting methods in view concern repeated optimization…

Methodology · Statistics 2022-05-25 Tun Lee Ng , Michael A. Newton

We propose a novel classification model for weak signal data, building upon a recent model for Bayesian multi-view learning, Group Factor Analysis (GFA). Instead of assuming all data to come from a single GFA model, we allow latent…

Machine Learning · Statistics 2016-06-08 Sami Remes , Tommi Mononen , Samuel Kaski

This article focuses on inference in logistic regression for high-dimensional binary outcomes. A popular approach induces dependence across the outcomes by including latent factors in the linear predictor. Bayesian approaches are useful for…

Methodology · Statistics 2025-04-23 Lorenzo Mauri , David B. Dunson

We introduce a novel longitudinal mixed model for analyzing complex multidimensional functional data, addressing challenges such as high-resolution, structural complexities, and computational demands. Our approach integrates dimension…

Methodology · Statistics 2026-02-16 Arkaprava Roy , Abhra Sarkar

Gaussian factor models have proven widely useful for parsimoniously characterizing dependence in multivariate data. There is a rich literature on their extension to mixed categorical and continuous variables, using latent Gaussian variables…

Methodology · Statistics 2013-01-14 Jared S. Murray , David B. Dunson , Lawrence Carin , Joseph E. Lucas

Multimodal data, where different types of data are collected from the same subjects, are fast emerging in a large variety of scientific applications. Factor analysis is commonly used in integrative analysis of multimodal data, and is…

Statistics Theory · Mathematics 2021-03-31 Quefeng Li , Lexin Li

We develop an estimation methodology for a factor model for high-dimensional matrix-valued time series, where common stochastic trends and common stationary factors can be present. We study, in particular, the estimation of (row and column)…

Methodology · Statistics 2025-01-06 Rong Chen , Simone Giannerini , Greta Goracci , Lorenzo Trapani

We consider the problem of sparse estimation via a lasso-type penalized likelihood procedure in a factor analysis model. Typically, the model estimation is done under the assumption that the common factors are orthogonal (uncorrelated).…

Methodology · Statistics 2013-02-25 Kei Hirose , Michio Yamamoto

We propose a novel approximate factor model tailored for analyzing time-dependent curve data. Our model decomposes such data into two distinct components: a low-dimensional predictable factor component and an unpredictable error term. These…

Econometrics · Economics 2025-02-26 Sven Otto , Nazarii Salish

Tensor time series data appears naturally in a lot of fields, including finance and economics. As a major dimension reduction tool, similar to its factor model counterpart, the idiosyncratic components of a tensor time series factor model…

Methodology · Statistics 2022-08-09 Weilin Chen , Clifford Lam

We consider a generalization of the weighted random ball model. The model is driven by a random Poisson measure with a product heavy tailed intensity measure. Such a model typically represents the transmission of a network of stations with…

Probability · Mathematics 2010-03-01 Jean-Christophe Breton , Clement Dombry

Feature allocation models postulate a sampling distribution whose parameters are derived from shared features. Bayesian models place a prior distribution on the feature allocation, and Markov chain Monte Carlo is typically used for model…

Methodology · Statistics 2022-07-29 David B. Dahl , Devin J. Johnson , R. Jacob Andros

We propose a new, flexible model for inference of the effect of a binary treatment on a continuous outcome observed over subsequent time periods. The model allows to seperate association due to endogeneity of treatment selection from…

Methodology · Statistics 2021-03-02 Helga Wagner , Sylvia Frühwirth-Schnatter , Liana Jacobi

We study a novel large dimensional approximate factor model with regime changes in the loadings driven by a latent first order Markov process. By exploiting the equivalent linear representation of the model, we first recover the latent…

Econometrics · Economics 2024-12-04 Matteo Barigozzi , Daniele Massacci

This article develops flexible methodology to study the association between scalar outcomes and functional predictors observed over time, at many instances, in longitudinal studies. We propose a parsimonious modeling framework to study…

Applications · Statistics 2018-01-25 Md Nazmul Islam , Ana-Maria Staicu , Eric van Heugten

Understanding of the pathophysiology of obstructive lung disease (OLD) is limited by available methods to examine the relationship between multi-omic molecular phenomena and clinical outcomes. Integrative factorization methods for…

Methodology · Statistics 2022-12-01 Sarah Samorodnitsky , Chris H. Wendt , Eric F. Lock