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Accurate estimation of counterfactual outcomes in high-dimensional data is crucial for decision-making and understanding causal relationships and intervention outcomes in various domains, including healthcare, economics, and social…

Machine Learning · Computer Science 2024-07-31 Jiageng Zhu , Hanchen Xie , Jiazhi Li , Wael Abd-Almageed

Hyperdimensional Computing (HDC) offers a computationally efficient paradigm for neuromorphic learning. Yet, it lacks rigorous uncertainty quantification, leading to open decision boundaries and, consequently, vulnerability to outliers,…

Regression tasks in computer vision, such as age estimation or counting, are often formulated into classification by quantizing the target space into classes. Yet real-world data is often imbalanced -- the majority of training samples lie…

Computer Vision and Pattern Recognition · Computer Science 2023-10-27 Haipeng Xiong , Angela Yao

This paper introduces a robust and computationally efficient estimation framework for high-dimensional volatility models in the BEKK-ARCH class. The proposed approach employs data truncation to ensure robustness against heavy-tailed…

Statistics Theory · Mathematics 2026-05-26 Kejun Chen , Yuchang Lin , Qianqian Zhu

High-frequency trading (HFT) represents a pivotal and intensely competitive domain within the financial markets. The velocity and accuracy of data processing exert a direct influence on profitability, underscoring the significance of this…

Machine Learning · Computer Science 2024-12-03 Yuxin Fan , Zhuohuan Hu , Lei Fu , Yu Cheng , Liyang Wang , Yuxiang Wang

In many longitudinal studies, a large number of variables are measured repeatedly over time, with substantial missing data. Existing methods, such as probabilistic principal component analysis (PPCA), are ill-equipped to handle such…

Methodology · Statistics 2026-04-27 Xinyu Zhang , Ameer Qaqish , D. Y. Lin , Didong Li

We consider the problem of modeling the dependence among many time series. We build high dimensional time-varying copula models by combining pair-copula constructions (PCC) with stochastic autoregressive copula (SCAR) models to capture…

Methodology · Statistics 2012-02-10 Carlos Almeida , Claudia Czado , Hans Manner

In this article the package High-dimensional Metrics (\texttt{hdm}) is introduced. It is a collection of statistical methods for estimation and quantification of uncertainty in high-dimensional approximately sparse models. It focuses on…

Methodology · Statistics 2017-09-28 Victor Chernozhukov , Chris Hansen , Martin Spindler

The hierarchical distribution matching (Hi-DM) approach for probabilistic shaping is described. The potential of Hi-DM in terms of trade-off between performance,complexity, and memory is illustrated through three case studies.

Information Theory · Computer Science 2020-02-20 Stella Civelli , Marco Secondini

Dynamic network analysis has found an increasing interest in the literature because of the importance of different kinds of dynamic social networks, biological networks, and economic networks. Most available probability and statistical…

Methodology · Statistics 2017-10-18 Elynn Yi Chen , Rong Chen

High-dimensional vector autoregressive (VAR) models provide a flexible framework for characterizing dynamic dependence in multivariate spatio-temporal systems, but their unrestricted estimation becomes infeasible when multiple variables are…

Methodology · Statistics 2026-05-04 Peiliang Bai

We study the estimation of a high dimensional approximate factor model in the presence of both cross sectional dependence and heteroskedasticity. The classical method of principal components analysis (PCA) does not efficiently estimate the…

Methodology · Statistics 2012-10-01 Jushan Bai , Yuan Liao

Volatilities, in high-dimensional panels of economic time series with a dynamic factor structure on the levels or returns, typically also admit a dynamic factor decomposition. We consider a two-stage dynamic factor model method recovering…

Econometrics · Economics 2022-02-03 Matteo Barigozzi , Marc Hallin

Models with latent factors recently attract a lot of attention. However, most investigations focus on linear regression models and thus cannot capture nonlinearity. To address this issue, we propose a novel Factor Augmented Single-Index…

Methodology · Statistics 2025-01-07 Yanmei Shi , Meiling Hao , Yanlin Tang , Heng Lian , Xu Guo

Estimating a covariance matrix is central to high-dimensional data analysis. Empirical analyses of high-dimensional biomedical data, including genomics, proteomics, microbiome, and neuroimaging, among others, consistently reveal strong…

Methodology · Statistics 2024-12-05 Yifan Yang , Chixiang Chen , Shuo Chen

High-Dimensional Dynamic Factor Models are presented in detail: The main assumptions and their motivation, main results, illustrations by means of elementary examples. In particular, the role of singular ARMA models in the theory and…

Systems and Control · Electrical Eng. & Systems 2022-02-17 Marco Lippi , Manfred Deistler , Brian Anderson

High-dimensional multivariate spatial-temporal data arise frequently in a wide range of applications; however, there are relatively few statistical methods that can simultaneously deal with spatial, temporal and variable-wise dependencies…

Methodology · Statistics 2020-02-05 Elynn Y. Chen , Xin Yun , Rong Chen , Qiwei Yao

Hyperdimensional computing (HDC) is a method to perform classification that uses binary vectors with high dimensions and the majority rule. This approach has the potential to be energy-efficient and hence deemed suitable for…

Machine Learning · Computer Science 2023-10-13 Zhanglu Yan , Shida Wang , Kaiwen Tang , Weng-Fai Wong

In this study, we propose a novel model called the Markov-switching dynamic matrix factor (Ms-DMF) model, which serves the dual purpose of structural interpretation and prediction for high-dimensional matrix time series. When estimating the…

Methodology · Statistics 2025-12-24 Chaofeng Yuan , Sainan Xu , Xingbing Kong , Jianhua Guo

The latent class model is a widely used mixture model for multivariate discrete data. Besides the existence of qualitatively heterogeneous latent classes, real data often exhibit additional quantitative heterogeneity nested within each…

Methodology · Statistics 2025-01-23 Zhongyuan Lyu , Ling Chen , Yuqi Gu