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We introduce a data-driven dynamic factor framework for modeling the joint evolution of high-dimensional covariates and responses without parametric assumptions. Standard factor models applied to covariates alone often lose explanatory…

Machine Learning · Statistics 2026-01-16 Graeme Baker , Agostino Capponi , J. Antonio Sidaoui

In recent years, different types of distributed and parallel learning schemes have received increasing attention for their strong advantages in handling large-scale data information. In the information era, to face the big data challenges…

Machine Learning · Statistics 2024-07-23 Zhan Yu , Jun Fan , Zhongjie Shi , Ding-Xuan Zhou

We propose a combined model, which integrates the latent factor model and the logistic regression model, for the citation network. It is noticed that neither a latent factor model nor a logistic regression model alone is sufficient to…

Machine Learning · Statistics 2019-12-03 Namjoon Suh , Xiaoming Huo , Eric Heim , Lee Seversky

Federated learning allows distributed medical institutions to collaboratively learn a shared prediction model with privacy protection. While at clinical deployment, the models trained in federated learning can still suffer from performance…

Computer Vision and Pattern Recognition · Computer Science 2021-03-11 Quande Liu , Cheng Chen , Jing Qin , Qi Dou , Pheng-Ann Heng

Disentangling complex data to its latent factors of variation is a fundamental task in representation learning. Existing work on sequential disentanglement mostly provides two factor representations, i.e., it separates the data to…

Machine Learning · Computer Science 2023-03-31 Nimrod Berman , Ilan Naiman , Omri Azencot

This paper develops a dynamic factor model in which common level and volatility factors evolve jointly, allowing conditional means and variances to interact endogenously within a large-information setting. The joint evolution of these…

Econometrics · Economics 2026-04-07 Haroon Mumtaz , Sofia Velasco

This work proposes a new algorithm for solving the graph-fused lasso (GFL), a method for parameter estimation that operates under the assumption that the signal tends to be locally constant over a predefined graph structure. The proposed…

Optimization and Control · Mathematics 2019-08-08 Feng Yu , Yi Yang , Teng Zhang

Unmeasured or latent variables are often the cause of correlations between multivariate measurements, which are studied in a variety of fields such as psychology, ecology, and medicine. For Gaussian measurements, there are classical tools…

Machine Learning · Computer Science 2022-01-28 Łukasz Kidziński , Francis K. C. Hui , David I. Warton , Trevor Hastie

Generalized principal component analysis (GLM-PCA) facilitates dimension reduction of non-normally distributed data. We provide a detailed derivation of GLM-PCA with a focus on optimization. We also demonstrate how to incorporate…

Machine Learning · Computer Science 2019-07-08 F. William Townes

This paper considers a non-stationary dynamic factor model for large datasets to disentangle long-run from short-run co-movements. We first propose a new Quasi Maximum Likelihood estimator of the model based on the Kalman Smoother and the…

Methodology · Statistics 2017-11-08 Matteo Barigozzi , Matteo Luciani

Distributed Lag Models (DLMs) and similar regression approaches such as MIDAS have been used for many decades in econometrics and more recently to investigate how poor air quality adversely affects human health. In this paper we describe…

Methodology · Statistics 2025-01-30 Daniel Dempsey , Jason Wyse

For many inference problems in statistics and econometrics, the unknown parameter is identified by a set of moment conditions. A generic method of solving moment conditions is the Generalized Method of Moments (GMM). However, classical GMM…

Machine Learning · Statistics 2021-10-18 Dhruv Rohatgi , Vasilis Syrgkanis

Distributed Gaussian process (DGP) is a popular approach to scale GP to big data which divides the training data into some subsets, performs local inference for each partition, and aggregates the results to acquire global prediction. To…

Machine Learning · Computer Science 2022-02-08 Hamed Jalali , Gjergji Kasneci

This paper proposes new estimators of the number of factors for a generalised factor model with more relaxed assumptions than the strict factor model. Under the framework of large cross-sections $N$ and large time dimensions $T$, we first…

Methodology · Statistics 2022-03-29 Rui Wang , Dandan Jiang

High-dimensional and sparse (HiDS) matrices are omnipresent in a variety of big data-related applications. Latent factor analysis (LFA) is a typical representation learning method that extracts useful yet latent knowledge from HiDS matrices…

Machine Learning · Computer Science 2022-04-19 Di Wu , Peng Zhang , Yi He , Xin Luo

When the data is distributed across multiple servers, lowering the communication cost between the servers (or workers) while solving the distributed learning problem is an important problem and is the focus of this paper. In particular, we…

Machine Learning · Computer Science 2020-03-25 Anis Elgabli , Jihong Park , Amrit S. Bedi , Mehdi Bennis , Vaneet Aggarwal

Principal component analysis and factor analysis are fundamental multivariate analysis methods. In this paper a unified framework to connect them is introduced. Under a general latent variable model, we present matrix optimization problems…

Methodology · Statistics 2024-05-31 Shifeng Xiong

Frequency domain representation of time series feature offers a concise representation for handling real-world time series data with inherent complexity and dynamic nature. However, current frequency-based methods with complex operations…

Computer Vision and Pattern Recognition · Computer Science 2024-07-22 Xianing Chen , Hanting Chen , Hailin Hu

Dynamical System (DS) based Learning from Demonstration (LfD) allows learning of reactive motion policies with stability and convergence guarantees from a few trajectories. Yet, current DS learning techniques lack the flexibility to…

Robotics · Computer Science 2023-09-06 Tianyu Li , Nadia Figueroa

Recent works have proposed regression models which are invariant across data collection environments. These estimators often have a causal interpretation under conditions on the environments and type of invariance imposed. One recent…

Methodology · Statistics 2023-11-10 James P. Long , Hongxu Zhu , Kim-Anh Do , Min Jin Ha