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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

The escalating integration of machine learning in high-stakes fields such as healthcare raises substantial concerns about model fairness. We propose an interpretable framework - Fairness-Aware Interpretable Modeling (FAIM), to improve model…

Machine Learning · Computer Science 2024-03-11 Mingxuan Liu , Yilin Ning , Yuhe Ke , Yuqing Shang , Bibhas Chakraborty , Marcus Eng Hock Ong , Roger Vaughan , Nan Liu

In this paper, we consider the nonstationary matrix-valued time series with common stochastic trends. Unlike the traditional factor analysis which flattens matrix observations into vectors, we adopt a matrix factor model in order to fully…

Econometrics · Economics 2025-08-25 Degui Li , Yayi Yan , Qiwei Yao

Integrating deep learning with latent state space models has the potential to yield temporal models that are powerful, yet tractable and interpretable. Unfortunately, current models are not designed to handle missing data or multiple data…

Machine Learning · Computer Science 2019-11-25 Tan Zhi-Xuan , Harold Soh , Desmond C. Ong

There has been considerable recent interest in Bayesian modeling of high-dimensional networks via latent space approaches. When the number of nodes increases, estimation based on Markov Chain Monte Carlo can be extremely slow and show poor…

Computation · Statistics 2022-05-30 Emanuele Aliverti , Massimiliano Russo

In the field of Multi-Agent Systems (MAS), known for their openness, dynamism, and cooperative nature, the ability to trust the resources and services of other agents is crucial. Trust, in this setting, is the reliance and confidence an…

Artificial Intelligence · Computer Science 2024-02-13 Behzad Akbari , Mingfeng Yuan , Hao Wang , Haibin Zhu , Jinjun Shan

The operating status of power systems is influenced by growing varieties of factors, resulting from the developing sizes and complexity of power systems; in this situation, the modelbased methods need be revisited. A data-driven method, as…

Methodology · Statistics 2016-07-07 Xinyi Xu , Xing He , Qian Ai , Robert C. Qiu

This paper studies a Markov network model for unbalanced data, aiming to solve the problems of classification bias and insufficient minority class recognition ability of traditional machine learning models in environments with uneven class…

Machine Learning · Computer Science 2025-02-06 Junliang Du , Shiyu Dou , Bohuan Yang , Jiacheng Hu , Tai An

Methods for learning and planning in sequential decision problems often assume the learner is aware of all possible states and actions in advance. This assumption is sometimes untenable. In this paper, we give a method to learn factored…

Artificial Intelligence · Computer Science 2019-02-28 Craig Innes , Alex Lascarides

Factor models are widely used for dimension reduction in the analysis of multivariate data. This is achieved through decomposition of a p x p covariance matrix into the sum of two components. Through a latent factor representation, they can…

Methodology · Statistics 2024-07-01 Sarah Elizabeth Heaps , Ian Hyla Jermyn

Functional data analysis, which models data as realizations of random functions over a continuum, has emerged as a useful tool for time series data. Often, the goal is to infer the dynamic connections (or time-varying conditional…

Methodology · Statistics 2024-12-10 Chunshan Liu , Daniel R. Kowal , James Doss-Gollin , Marina Vannucci

A prevalent feature of high-dimensional data is the dependence among covariates, and model selection is known to be challenging when covariates are highly correlated. To perform model selection for the high-dimensional Cox proportional…

Methodology · Statistics 2022-10-04 Pierre Bayle , Jianqing Fan

We consider the estimation of approximate factor models for time series data, where strong serial and cross-sectional correlations amongst the idiosyncratic component are present. This setting comes up naturally in many applications, but…

Methodology · Statistics 2019-12-10 Jiahe Lin , George Michailidis

The paper considers linear regression problems where the number of predictor variables is possibly larger than the sample size. The basic motivation of the study is to combine the points of view of model selection and functional regression…

Statistics Theory · Mathematics 2012-02-24 Alois Kneip , Pascal Sarda

In this paper, we demonstrate through the use of matrix calculus a transparent analysis of fractional inhomogeneous Markov models for life insurance where transition matrices commute. The resulting formulae are intuitive matrix…

Probability · Mathematics 2021-10-25 Martin Bladt

Latent variable models are popularly used to measure latent factors (e.g., abilities and personalities) from large-scale assessment data. Beyond understanding these latent factors, the covariate effect on responses controlling for latent…

Methodology · Statistics 2026-01-12 Jing Ouyang , Chengyu Cui , Kean Ming Tan , Gongjun Xu

Factorial designs are widely used due to their ability to accommodate multiple factors simultaneously. The factor-based regression with main effects and some interactions is the dominant strategy for downstream data analysis, delivering…

Methodology · Statistics 2021-12-09 Anqi Zhao , Peng Ding

Multivariate spatially-oriented data sets are prevalent in the environmental and physical sciences. Scientists seek to jointly model multiple variables, each indexed by a spatial location, to capture any underlying spatial association for…

Methodology · Statistics 2021-08-19 Lu Zhang , Sudipto Banerjee

In many applications, it is of interest to study trends over time in relationships among categorical variables, such as age group, ethnicity, religious affiliation, political party and preference for particular policies. At each time point,…

Methodology · Statistics 2012-05-15 Tsuyoshi Kunihama , David B. Dunson

We combine high-dimensional factor models with fractional integration methods and derive models where nonstationary, potentially cointegrated data of different persistence is modelled as a function of common fractionally integrated factors.…

Econometrics · Economics 2020-05-12 Tobias Hartl