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Related papers: Approximate Factor Models with Weaker Loadings

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In this paper, we study the problem of principal component analysis with generative modeling assumptions, adopting a general model for the observed matrix that encompasses notable special cases, including spiked matrix recovery and phase…

Machine Learning · Statistics 2022-09-08 Zhaoqiang Liu , Jiulong Liu , Subhroshekhar Ghosh , Jun Han , Jonathan Scarlett

This paper addresses the fundamental task of estimating covariance matrix functions for high-dimensional functional data/functional time series. We consider two functional factor structures encompassing either functional factors with scalar…

Methodology · Statistics 2025-10-28 Dong Li , Xinghao Qiao , Zihan Wang

In finance, economics and many other fields, observations in a matrix form are often observed over time. For example, many economic indicators are obtained in different countries over time. Various financial characteristics of many…

Methodology · Statistics 2017-06-22 Dong Wang , Xialu Liu , Rong Chen

In this paper, we focus on exploiting the group structure for large-dimensional factor models, which captures the homogeneous effects of common factors on individuals within the same group. In view of the fact that datasets in…

Methodology · Statistics 2024-05-14 Yong He , Xiaoyang Ma , Xingheng Wang , Yalin Wang

Machine learning models achieve state-of-the-art performance across domains, yet their lack of interpretability limits safe deployment in high-stakes settings. Counterfactual explanations are widely used to provide actionable "what-if"…

Machine Learning · Computer Science 2025-11-18 Nawid Keshtmand , Roussel Desmond Nzoyem , Jeffrey Nicholas Clark

In a unidimensional factor model it is assumed that the set of indicators that loads on this factor are conditionally independent given the latent factor. Two indicators are, however, never conditionally independent given (a set of) other…

Statistics Theory · Mathematics 2025-01-08 Riet van Bork , Raoul P. P. P. Grasman , Lourens J. Waldorp

This paper considers an approximate dynamic matrix factor model that accounts for the time series nature of the data by explicitly modelling the time evolution of the factors. We study estimation of the model parameters based on the…

Methodology · Statistics 2026-01-08 Matteo Barigozzi , Luca Trapin

This paper addresses the problem of providing robust estimators under a functional logistic regression model. Logistic regression is a popular tool in classification problems with two populations. As in functional linear regression,…

Methodology · Statistics 2023-08-16 Graciela Boente , Marina Valdora

We propose a regularized factor-augmented vector autoregressive (FAVAR) model that allows for sparsity in the factor loadings. In this framework, factors may only load on a subset of variables which simplifies the factor identification and…

Econometrics · Economics 2019-12-13 Maurizio Daniele , Julie Schnaitmann

Factor analysis is a statistical technique employed to evaluate how observed variables correlate through common factors and unique variables. While it is often used to analyze price movement in the unstable stock market, it does not always…

Statistical Finance · Quantitative Finance 2014-08-13 Angela Gu , Patrick Zeng

The replication crisis in social and behavioral sciences has raised concerns about the reliability and validity of empirical studies. While research in the literature has explored contributing factors to this crisis, the issues related to…

Methodology · Statistics 2024-06-13 Dandan Tang , Steven M. Boker , Xin Tong

Connectivity estimation is challenging in the context of high-dimensional data. A useful preprocessing step is to group variables into clusters, however, it is not always clear how to do so from the perspective of connectivity estimation.…

Machine Learning · Statistics 2018-05-25 Ricardo Pio Monti , Aapo Hyvärinen

Standard high-dimensional factor models assume that the comovements in a large set of variables could be modeled using a small number of latent factors that affect all variables. In many relevant applications in economics and finance,…

Econometrics · Economics 2022-02-08 Antoine Djogbenou , Razvan Sufana

Low-rank approximation of a matrix by means of random sampling has been consistently efficient in its empirical studies by many scientists who applied it with various sparse and structured multipliers, but adequate formal support for this…

Numerical Analysis · Mathematics 2016-06-07 Victor Y. Pan , Liang Zhao

In this paper, we propose a novel bootstrap algorithm that is more efficient than existing methods for approximating the distribution of the factor-augmented regression estimator for a rotated parameter vector. The regression is augmented…

Methodology · Statistics 2025-10-02 Peiyun Jiang , Takashi Yamagata

Modern empirical analysis often relies on high-dimensional panel datasets with non-negligible cross-sectional and time-series correlations. Factor models are natural for capturing such dependencies. A tensor factor model describes the…

Econometrics · Economics 2025-03-10 Andrii Babii , Eric Ghysels , Junsu Pan

A stochastic model with a continuum of economic agents often involves shocks at both macro and micro levels. This can be formalized by a continuum of random variables that are conditionally independent given the macro level shocks. Based on…

Probability · Mathematics 2014-10-07 Lei Qiao , Yeneng Sun , Zhixiang Zhang

A model is proposed for the statistical analysis of arbitrary-strength quantum measurements, based on a picture of "sampling weak values" from different configurations of the system. The model is comprised of two elements: a "local weak…

Quantum Physics · Physics 2007-05-23 Alonso Botero

As the use of machine learning in high impact domains becomes widespread, the importance of evaluating safety has increased. An important aspect of this is evaluating how robust a model is to changes in setting or population, which…

Machine Learning · Computer Science 2021-03-16 Adarsh Subbaswamy , Roy Adams , Suchi Saria

Model robustness indicates a model's capability to generalize well on unforeseen distributional shifts, including data corruptions and adversarial attacks. Data augmentation is one of the most prevalent and effective ways to enhance…

Machine Learning · Computer Science 2025-12-16 Weebum Yoo , Sung Whan Yoon