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By treating intervals as inseparable sets, this paper proposes sparse machine learning regressions for high-dimensional interval-valued time series. With LASSO or adaptive LASSO techniques, we develop a penalized minimum distance…

Econometrics · Economics 2024-11-15 Haowen Bao , Yongmiao Hong , Yuying Sun , Shouyang Wang

A novel IV estimation method, that we term Locally Trimmed LS (LTLS), is developed which yields estimators with (mixed) Gaussian limit distributions in situations where the data may be weakly or strongly persistent. In particular, we allow…

Econometrics · Economics 2020-06-24 Zhishui Hu , Ioannis Kasparis , Qiying Wang

Volatility forecasts are key inputs in financial analysis. While lasso based forecasts have shown to perform well in many applications, their use to obtain volatility forecasts has not yet received much attention in the literature. Lasso…

Applications · Statistics 2016-10-11 Ines Wilms , Jeroen Rombouts , Christophe Croux

We revisit macroeconomic time-varying parameter vector autoregressions (TVP-VARs), whose persistent coefficients may adapt too slowly to large, abrupt shifts such as those during major crises. We explore the performance of an…

Econometrics · Economics 2025-12-04 Nicolas Hardy , Dimitris Korobilis

For the problem of high-dimensional sparse linear regression, it is known that an $\ell_0$-based estimator can achieve a $1/n$ "fast" rate on the prediction error without any conditions on the design matrix, whereas in absence of…

Statistics Theory · Mathematics 2015-12-01 Yuchen Zhang , Martin J. Wainwright , Michael I. Jordan

We study a multivariate regression discontinuity design in which treatment is assigned by crossing a boundary in the space of multiple running variables. We document that the existing bandwidth selector is suboptimal for a multivariate…

Econometrics · Economics 2026-01-26 Masayuki Sawada , Takuya Ishihara , Daisuke Kurisu , Yasumasa Matsuda

How best to model structurally heterogeneous processes is a foundational question in the social, health and behavioral sciences. Recently, Fisher et al., (2022) introduced the multi-VAR approach for simultaneously estimating…

Visual Autoregressive (VAR) modeling approach for image generation proposes autoregressive processing across hierarchical scales, decoding multiple tokens per scale in parallel. This method achieves high-quality generation while…

Computer Vision and Pattern Recognition · Computer Science 2025-12-04 Hong-Kai Zheng , Piji Li

I introduce a high-dimensional Bayesian vector autoregressive (BVAR) framework designed to estimate the effects of conventional monetary policy shocks. The model captures structural shocks as latent factors, enabling computationally…

Econometrics · Economics 2025-05-13 Dimitris Korobilis

Disagreement remains on what the target estimand should be for population-adjusted indirect treatment comparisons. This debate is of central importance for policy-makers and applied practitioners in health technology assessment.…

Methodology · Statistics 2022-12-06 Antonio Remiro-Azócar

Although the sparse multinomial logistic regression (SMLR) has provided a useful tool for sparse classification, it suffers from inefficacy in dealing with high dimensional features and manually set initial regressor values. This has…

Computer Vision and Pattern Recognition · Computer Science 2017-12-05 Faxian Cao , Zhijing Yang , Jinchang Ren , Wing-Kuen Ling

High-dimensional vector autoregressive (VAR) models are important tools for the analysis of multivariate time series. This paper focuses on high-dimensional time series and on the different regularized estimation procedures proposed for…

Machine Learning · Statistics 2020-06-11 Jonas Krampe , Efstathios Paparoditis

We propose a sigmoidal approximation for the value-at-risk (that we call SigVaR) and we use this approximation to tackle nonlinear programs (NLPs) with chance constraints. We prove that the approximation is conservative and that the level…

Optimization and Control · Mathematics 2020-04-07 Yankai Cao , Victor M. Zavala

Sparse model estimation is a topic of high importance in modern data analysis due to the increasing availability of data sets with a large number of variables. Another common problem in applied statistics is the presence of outliers in the…

Applications · Statistics 2025-02-03 Andreas Alfons , Christophe Croux , Sarah Gelper

This work concerns estimation of multidimensional nonlinear regression models using multilayer perceptron (MLP). The main problem with such model is that we have to know the covariance matrix of the noise to get optimal estimator. however…

Statistics Theory · Mathematics 2008-02-22 Joseph Rynkiewicz

Training Large Language Models (LLMs) for reasoning tasks is increasingly driven by Reinforcement Learning with Verifiable Rewards (RLVR), where Proximal Policy Optimization (PPO) provides a principled framework for stable policy updates.…

Machine Learning · Computer Science 2026-01-13 Xue Gong , Qi Yi , Ziyuan Nan , Guanhua Huang , Kejiao Li , Yuhao Jiang , Ruibin Xiong , Zenan Xu , Jiaming Guo , Shaohui Peng , Bo Zhou

We study efficiency improvements in randomized experiments for estimating a vector of potential outcome means using regression adjustment (RA) when there are more than two treatment levels. We show that linear RA which estimates separate…

Econometrics · Economics 2025-01-13 Akanksha Negi , Jeffrey M. Wooldridge

We propose conformal hyperrectangular prediction regions for multi-target regression. We propose split conformal prediction algorithms for both point and quantile regression to form hyperrectangular prediction regions, which allow for easy…

Methodology · Statistics 2024-06-10 Max Sampson , Kung-Sik Chan

The vector autoregressive (VAR) model has been widely used for modeling temporal dependence in a multivariate time series. For large (and even moderate) dimensions, the number of AR coefficients can be prohibitively large, resulting in…

Applications · Statistics 2013-10-21 Richard A. Davis , Pengfei Zang , Tian Zheng

We introduce the spike-and-slab group lasso (SSGL) for Bayesian estimation and variable selection in linear regression with grouped variables. We further extend the SSGL to sparse generalized additive models (GAMs), thereby introducing the…

Methodology · Statistics 2020-07-29 Ray Bai , Gemma E. Moran , Joseph Antonelli , Yong Chen , Mary R. Boland