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Researchers now routinely use AI or other machine learning methods to estimate latent variables of economic interest, then plug-in the estimates as covariates in a regression. We show both theoretically and empirically that naively treating…

Econometrics · Economics 2025-05-01 Laura Battaglia , Timothy Christensen , Stephen Hansen , Szymon Sacher

In this paper, we estimate impulse responses by local projections in high-dimensional settings. We use the desparsified (de-biased) lasso to estimate the high-dimensional local projections, while leaving the impulse response parameter of…

Econometrics · Economics 2024-04-18 Robert Adamek , Stephan Smeekes , Ines Wilms

To infer a function value on a specific point $x$, it is essential to assign higher weights to the points closer to $x$, which is called local polynomial / multivariable regression. In many practical cases, a limited sample size may ruin…

Machine Learning · Statistics 2024-09-30 Yanwu Gu , Dong Xia

Evaluating explanation techniques using human subjects is costly, time-consuming and can lead to subjectivity in the assessments. To evaluate the accuracy of local explanations, we require access to the true feature importance scores for a…

Machine Learning · Computer Science 2022-01-31 Amir Hossein Akhavan Rahnama , Judith Butepage , Pierre Geurts , Henrik Bostrom

This paper addresses the challenges of giving a causal interpretation to vector autoregressions (VARs). I show that under independence assumptions VARs can identify average treatment effects, average causal responses, or a mix of the two,…

Econometrics · Economics 2025-10-29 Raimondo Pala

We provide evidence that many narrative shocks used by prominent literature are persistent. We show that the two leading methods to estimate impulse responses to an independently identified shock (local projections and distributed lag…

Econometrics · Economics 2020-06-26 Mario Alloza , Jesus Gonzalo , Carlos Sanz

Vector autogressions (VARs) are widely applied when it comes to modeling and forecasting macroeconomic variables. In high dimensions, however, they are prone to overfitting. Bayesian methods, more concretely shrinkage priors, have shown to…

Econometrics · Economics 2025-02-27 Luis Gruber , Gregor Kastner

This paper advances the local projections (LP) method by addressing its inefficiency in high-frequency economic and financial data with volatility clustering. We incorporate a generalized autoregressive conditional heteroskedasticity…

Econometrics · Economics 2025-03-05 Chew Lian Chua , David Gunawan , Sandy Suardi

In this paper, we propose a probabilistic reduced-dimensional vector autoregressive (PredVAR) model with oblique projections. This model partitions the measurement space into a dynamic subspace and a static subspace that do not need to be…

Optimization and Control · Mathematics 2023-09-06 Yanfang Mo , Jiaxin Yu , S. Joe Qin

We propose a clustered local projection (clustered LP) method to estimate impulse response functions in a class of time-varying models where parameter variation is linked to a low-dimensional matrix of observables. We show that the…

Econometrics · Economics 2026-05-04 Ana Maria Herrera , Elena Pesavento , Alessia Scudiero

Local variable selection aims to test for the effect of covariates on an outcome within specific regions. We outline a challenge that arises in the presence of non-linear effects and model misspecification. Specifically, for common…

Methodology · Statistics 2024-08-02 David Rossell , Arnold Kisuk Kseung , Ignacio Saez , Michele Guindani

This paper proposes a new methodological framework for estimating inferential models with latent variables. It also introduces a new latent variable regression model called LARX: an extension of the ubiquitous autoregressive model with…

Econometrics · Economics 2026-01-09 Daniil Bargman

Structural vector autoregressive (SVAR) models are widely used to analyze the simultaneous relationships between multiple time-dependent data. Various statistical inference methods have been studied to overcome the identification problems…

Econometrics · Economics 2025-03-18 Masato Shimokawa , Kou Fujimori

We study the properties of the classical \emph{projection} method to conduct simultaneous inference about the coefficients of the structural impulse-response function and their identified set in Structural Vector Autoregressions. We show…

Econometrics · Economics 2026-03-31 Bulat Gafarov , Matthias Meier , José Luis Montiel Olea

The vector autoregressive (VAR) model has been used to describe the dependence within and across multiple time series. This is a model for stationary time series which can be extended to allow the presence of a deterministic trend in each…

Methodology · Statistics 2025-10-14 Xixi Li , Jingsong Yuan

A semi-parametric, non-linear regression model in the presence of latent variables is introduced. These latent variables can correspond to unmodeled phenomena or unmeasured agents in a complex networked system. This new formulation allows…

Machine Learning · Statistics 2018-06-29 Jonathan Mei , José M. F. Moura

This paper analyzes Structural Vector Autoregressions (SVARs) where identification of structural parameters holds locally but not globally. In this case there exists a set of isolated structural parameter points that are observationally…

Econometrics · Economics 2026-03-10 Emanuele Bacchiocchi , Toru Kitagawa

Deeply-learned planning methods are often based on learning representations that are optimized for unrelated tasks. For example, they might be trained on reconstructing the environment. These representations are then combined with predictor…

Machine Learning · Computer Science 2021-03-18 Hlynur Davíð Hlynsson , Merlin Schüler , Robin Schiewer , Tobias Glasmachers , Laurenz Wiskott

Efron et al. (2004) introduced least angle regression (LAR) as an algorithm for linear predictions, intended as an alternative to forward selection with connections to penalized regression. However, LAR has remained somewhat of a "black…

Statistics Theory · Mathematics 2026-02-03 Karl B. Gregory , Daniel J. Nordman

Inference for impulse responses estimated with local projections presents interesting challenges and opportunities. Analysts typically want to assess the precision of individual estimates, explore the dynamic evolution of the response over…

Econometrics · Economics 2024-08-15 Atsushi Inoue , Òscar Jordà , Guido M. Kuersteiner