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Related papers: Inference for High-Dimensional Local Projection

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Bootstrap procedures for local projections typically rely on assuming that the data generating process (DGP) is a finite order vector autoregression (VAR), often taken to be that implied by the local projection at horizon 1. Although…

Econometrics · Economics 2025-09-23 María Dolores Gadea , Òscar Jordà

This work develops non-asymptotic theory for estimation of the long-run variance matrix and its inverse, the so-called precision matrix, for high-dimensional time series under general assumptions on the dependence structure including…

Statistics Theory · Mathematics 2023-01-02 Changryong Baek , Marie-Christine Düker , Vladas Pipiras

We study low-rank matrix regression in settings where matrix-valued predictors and scalar responses are observed across multiple individuals. Rather than assuming a fully homogeneous coefficient matrices across individuals, we accommodate…

Methodology · Statistics 2025-10-28 Di Wang , Xiaoyu Zhang , Guodong Li , Wenyang Zhang

We consider the estimation of large covariance and precision matrices from high-dimensional sub-Gaussian or heavier-tailed observations with slowly decaying temporal dependence. The temporal dependence is allowed to be long-range so with…

Statistics Theory · Mathematics 2019-12-23 Hai Shu , Bin Nan

We develop and justify methodology to consistently test for long-horizon return predictability based on realized variance. To accomplish this, we propose a parametric transaction-level model for the continuous-time log price process based…

Econometrics · Economics 2022-02-03 Meng-Chen Hsieh , Clifford Hurvich , Philippe Soulier

Linear mixed-effects models are widely used in analyzing clustered or repeated measures data. We propose a quasi-likelihood approach for estimation and inference of the unknown parameters in linear mixed-effects models with high-dimensional…

Methodology · Statistics 2021-03-10 Sai Li , Tony T. Cai , Hongzhe Li

We conduct a simulation study of Local Projection (LP) and Vector Autoregression (VAR) estimators of structural impulse responses across thousands of data generating processes, designed to mimic the properties of the universe of U.S.…

Econometrics · Economics 2024-01-24 Dake Li , Mikkel Plagborg-Møller , Christian K. Wolf

Conformal prediction is a framework that provides valid uncertainty quantification for general models with exchangeable data. However, in the online learning and time-series settings, exchangeability is not satisfied. Existing online…

Machine Learning · Computer Science 2026-05-11 Yuheng Lai , Garvesh Raskutti

We propose a new inference framework called localized conformal prediction. It generalizes the framework of conformal prediction by offering a single-test-sample adaptive construction that emphasizes a local region around this test sample,…

Statistics Theory · Mathematics 2022-03-02 Leying Guan

To make effective decisions in novel environments with long-horizon goals, it is crucial to engage in hierarchical reasoning across spatial and temporal scales. This entails planning abstract subgoal sequences, visually reasoning about the…

In recent years, the robotics community has made substantial progress in robotic manipulation using deep reinforcement learning (RL). Effectively learning of long-horizon tasks remains a challenging topic. Typical RL-based methods…

Robotics · Computer Science 2021-05-13 Zhihao Li , Zhenglong Sun , Jionglong SU , Jiaming Zhang

Learning to predict the long-term future of video frames is notoriously challenging due to inherent ambiguities in the distant future and dramatic amplifications of prediction error through time. Despite the recent advances in the…

Computer Vision and Pattern Recognition · Computer Science 2021-04-15 Wonkwang Lee , Whie Jung , Han Zhang , Ting Chen , Jing Yu Koh , Thomas Huang , Hyungsuk Yoon , Honglak Lee , Seunghoon Hong

We introduce a new $hp$-adaptive strategy for self-adjoint elliptic boundary value problems that does not rely on using classical a posteriori error estimators. Instead, our approach is based on a generally applicable prediction strategy…

Numerical Analysis · Mathematics 2023-11-23 Patrick Bammer , Andreas Schröder , Thomas P. Wihler

This paper presents a selective survey of recent developments in statistical inference and multiple testing for high-dimensional regression models, including linear and logistic regression. We examine the construction of confidence…

Methodology · Statistics 2023-01-26 T. Tony Cai , Zijian Guo , Yin Xia

In the present work we address the problem of evaluating the historical performance of a trading strategy or a certain portfolio of assets. Common indicators such as the Sharpe ratio and the risk adjusted return have significant drawbacks.…

Risk Management · Quantitative Finance 2011-02-10 M. Bartolozzi , C. Mellen

Accurate precipitation forecasting is essential for hydrometeorological risk management, especially for anticipating extreme rainfall that can lead to flash flooding and infrastructure damage. This study introduces a diffusion-based deep…

The long horizon forecasting (LHF) problem has come up in the time series literature for over the last 35 years or so. This review covers aspects of LHF in this period and how deep learning has incorporated variants of trend, seasonality,…

Machine Learning · Computer Science 2025-06-17 Hans Krupakar , Kandappan V A

Structured prediction is used in areas such as computer vision and natural language processing to predict structured outputs such as segmentations or parse trees. In these settings, prediction is performed by MAP inference or, equivalently,…

Machine Learning · Statistics 2016-04-28 Ofer Meshi , Mehrdad Mahdavi , Adrian Weller , David Sontag

We propose a new inferential framework for constructing confidence regions and testing hypotheses in statistical models specified by a system of high dimensional estimating equations. We construct an influence function by projecting the…

Statistics Theory · Mathematics 2016-06-24 Matey Neykov , Yang Ning , Jun S. Liu , Han Liu

A local projection model is defined by a set of linear regressions that account for the associations between exogenous variables and an endogenous variable observed at different time points. While it is standard practice to separately…

Methodology · Statistics 2020-07-14 Masahiro Tanaka