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Lasso-type estimators are routinely used to estimate high-dimensional time series models. The theoretical guarantees established for these estimators typically require the penalty level to be chosen in a suitable fashion often depending on…

Predicting cross-sectional stock returns is challenging due to low signal-to-noise ratios and evolving market regimes. Classical factor models offer interpretability but limited flexibility, while deep learning models achieve strong…

Machine Learning · Computer Science 2026-05-14 Namhyoung Kim , Jae Wook Song

Accurate volatility forecasts are vital in modern finance for risk management, portfolio allocation, and strategic decision-making. However, existing methods face key limitations. Fully multivariate models, while comprehensive, are…

Statistical Finance · Quantitative Finance 2025-10-09 Duo Zhang , Jiayu Li , Junyi Mo , Elynn Chen

Dynamic factor models are often estimated by point-estimation methods, disregarding parameter uncertainty. We propose a method accounting for parameter uncertainty by means of posterior approximation, using variational inference. Our…

Methodology · Statistics 2022-10-14 Erik Spånberg

This paper is concerned with inference on the regression function of a high-dimensional linear model when outcomes are missing at random. We propose an estimator which combines a Lasso pilot estimate of the regression function with a bias…

Methodology · Statistics 2024-12-11 Yikun Zhang , Alexander Giessing , Yen-Chi Chen

Feature selection is playing an increasingly significant role with respect to many computer vision applications spanning from object recognition to visual object tracking. However, most of the recent solutions in feature selection are not…

Computer Vision and Pattern Recognition · Computer Science 2017-07-25 Giorgio Roffo , Simone Melzi , Umberto Castellani , Alessandro Vinciarelli

This paper presents a general framework for estimating high-dimensional conditional latent factor models via constrained nuclear norm regularization. We establish large sample properties of the estimators and provide efficient algorithms…

Econometrics · Economics 2025-12-09 Qihui Chen

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

Longitudinal data are important in numerous fields, such as healthcare, sociology and seismology, but real-world datasets present notable challenges for practitioners because they can be high-dimensional, contain structured missingness…

Machine Learning · Computer Science 2024-07-01 Maksim Sinelnikov , Manuel Haussmann , Harri Lähdesmäki

For imitation learning algorithms to scale to real-world challenges, they must handle high-dimensional observations, offline learning, and policy-induced covariate-shift. We propose DITTO, an offline imitation learning algorithm which…

Machine Learning · Computer Science 2025-03-24 Branton DeMoss , Paul Duckworth , Jakob Foerster , Nick Hawes , Ingmar Posner

Our article considers a regression model with observed factors. The observed factors have a flexible stochastic volatility structure that has separate dynamics for the volatilities and the correlation matrix. The correlation matrix of the…

Other Statistics · Statistics 2011-07-14 Yu-Cheng Ku , Peter Bloomfield , Robert Kohn

This paper examines LASSO, a widely-used $L_{1}$-penalized regression method, in high dimensional linear predictive regressions, particularly when the number of potential predictors exceeds the sample size and numerous unit root regressors…

Econometrics · Economics 2024-01-17 Ziwei Mei , Zhentao Shi

We derive new theoretical results on the properties of the adaptive least absolute shrinkage and selection operator (adaptive lasso) for time series regression models. In particular, we investigate the question of how to conduct finite…

Methodology · Statistics 2013-12-06 Francesco Audrino , Lorenzo Camponovo

Its conceptual appeal and effectiveness has made latent factor modeling an indispensable tool for multivariate analysis. Despite its popularity across many fields, there are outstanding methodological challenges that have hampered practical…

Methodology · Statistics 2018-12-12 Kenichiro McAlinn , Veronika Rockova , Enakshi Saha

Factor analysis is a classical data reduction technique that seeks a potentially lower number of unobserved variables that can account for the correlations among the observed variables. This paper presents an extension of the factor…

Methodology · Statistics 2013-12-04 Tsung-I Lin , Pal H. Wu , Geoffrey J. McLachlan , Sharon X. Lee

In this paper, we investigate the adequacy testing problem of high-dimensional factor-augmented regression model. Existing test procedures perform not well under dense alternatives. To address this critical issue, we introduce a novel…

Methodology · Statistics 2025-04-04 Yanmei Shi , Leheng Cai , Xu Guo , Shurong Zheng

In this article we focus on dynamic network data which describe interactions among a fixed population through time. We model this data using the latent space framework, in which the probability of a connection forming is expressed as a…

Methodology · Statistics 2021-12-21 Kathryn Turnbull , Christopher Nemeth , Matthew Nunes , Tyler McCormick

We provide a simple method to estimate the parameters of multivariate stochastic volatility models with latent factor structures. These models are very useful as they alleviate the standard curse of dimensionality, allowing the number of…

Econometrics · Economics 2023-02-15 Giorgio Calzolari , Roxana Halbleib , Christian Mücher

This dissertation develops and justifies a novel method for deriving approximate formulas to estimate two parameters in stochastic volatility diffusion models with exponentially-affine characteristic functions and single- or two-factor…

Mathematical Finance · Quantitative Finance 2025-09-16 Mikołaj Łabędzki

Dynamic discrete choice models often discretize the state vector and restrict its dimension in order to achieve valid inference. I propose a novel two-stage estimator for the set-identified structural parameter that incorporates a…

Econometrics · Economics 2018-11-07 Vira Semenova