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This paper presents a novel approach for pointwise estimation of multivariate density functions on known domains of arbitrary dimensions using nonparametric local polynomial estimators. Our method is highly flexible, as it applies to both…

Statistics Theory · Mathematics 2025-07-22 Karine Bertin , Nicolas Klutchnikoff , Frédéric Ouimet

Technological advances have led to a proliferation of structured big data that have matrix-valued covariates. We are specifically motivated to build predictive models for multi-subject neuroimaging data based on each subject's brain imaging…

Methodology · Statistics 2015-05-15 Yue Hu , Genevera I. Allen

This paper develops a doubly robust extension of local-projections difference-in-differences (LP-DiD) for staggered absorbing treatments. The resulting estimator, DRLPDID, preserves the LP-DiD local-stack ATT target and is consistent when…

Econometrics · Economics 2026-05-01 Daniel de Abreu Pereira Uhr , Guilherme Valle Moura

In an era where big and high-dimensional data is readily available, data scientists are inevitably faced with the challenge of reducing this data for expensive downstream computation or analysis. To this end, we present here a new method…

Methodology · Statistics 2018-06-05 Simon Mak , V. Roshan Joseph

Additive isotonic regression attempts to determine the relationship between a multi-dimensional observation variable and a response, under the constraint that the estimate is the additive sum of univariate component effects that are…

Methodology · Statistics 2010-06-16 Zhou Fang , Nicolai Meinshausen

In this paper we develop inference for high dimensional linear models, with serially correlated errors. We examine Lasso under the assumption of strong mixing in the covariates and error process, allowing for fatter tails in their…

Econometrics · Economics 2023-10-05 Ilias Chronopoulos , Katerina Chrysikou , George Kapetanios

Sparse Gaussian Processes are a key component of high-throughput Bayesian optimisation (BO) loops -- an increasingly common setting where evaluation budgets are large and highly parallelised. By using representative subsets of the available…

Machine Learning · Computer Science 2022-07-14 Henry B. Moss , Sebastian W. Ober , Victor Picheny

This article is about estimation and inference methods for high dimensional sparse (HDS) regression models in econometrics. High dimensional sparse models arise in situations where many regressors (or series terms) are available and the…

Methodology · Statistics 2017-10-05 Alexandre Belloni , Victor Chernozhukov , Christian Hansen

This paper studies the estimation of the conditional density f (x, $\times$) of Y i given X i = x, from the observation of an i.i.d. sample (X i , Y i) $\in$ R d , i = 1,. .. , n. We assume that f depends only on r unknown components with…

Statistics Theory · Mathematics 2021-06-29 Minh-Lien Jeanne Nguyen , Claire Lacour , Vincent Rivoirard

The goal of this paper is to extend the nonparametric estimation of Impulse Response Functions (IRF) by means of local projections in the nonlinear dynamic framework. We discuss the existence of a nonlinear autoregressive representation for…

Econometrics · Economics 2025-08-26 Christian Gourieroux , Quinlan Lee

Accurate forecasting is one of the fundamental focus in the literature of econometric time-series. Often practitioners and policy makers want to predict outcomes of an entire time horizon in the future instead of just a single $k$-step…

Methodology · Statistics 2021-10-04 Sayar Karmakar , Marek Chudy , Wei Biao Wu

We consider the problem of inferring the conditional independence graph (CIG) of a sparse, high-dimensional stationary multivariate Gaussian time series. A sparse-group lasso-based frequency-domain formulation of the problem based on…

Signal Processing · Electrical Eng. & Systems 2024-06-06 Jitendra K. Tugnait

Additive models play an essential role in studying non-linear relationships. Despite many recent advances in estimation, there is a lack of methods and theories for inference in high-dimensional additive models, including confidence…

Statistics Theory · Mathematics 2022-02-18 Zijian Guo , Wei Yuan , Cun-Hui Zhang

Operator learning offers a powerful paradigm for solving parametric partial differential equations (PDEs), but scaling probabilistic neural operators such as the recently proposed Gaussian Processes Operators (GPOs) to high-dimensional,…

Machine Learning · Statistics 2025-06-23 Sawan Kumar , Tapas Tripura , Rajdip Nayek , Souvik Chakraborty

We present an accelerated greedy strategy for training of projection-based reduced-order models for parametric steady and unsteady partial differential equations. Our approach exploits hierarchical approximate proper orthogonal…

Numerical Analysis · Mathematics 2024-01-17 Eki Agouzal , Tommaso Taddei

High-dimensional observations and unknown dynamics are major challenges when applying optimal control to many real-world decision making tasks. The Learning Controllable Embedding (LCE) framework addresses these challenges by embedding the…

Machine Learning · Computer Science 2020-03-03 Rui Shu , Tung Nguyen , Yinlam Chow , Tuan Pham , Khoat Than , Mohammad Ghavamzadeh , Stefano Ermon , Hung H. Bui

In this work, we propose a novel framework for large-scale Gaussian process (GP) modeling. Contrary to the global, and local approximations proposed in the literature to address the computational bottleneck with exact GP modeling, we employ…

Machine Learning · Statistics 2023-12-19 Akhil Vakayil , Roshan Joseph

High-dimensional linear contextual bandit problems remain a significant challenge due to the curse of dimensionality. Existing methods typically consider either the model parameters to be sparse or the eigenvalues of context covariance…

Statistics Theory · Mathematics 2025-10-10 Rui Zhao , Zihan Chen , Zemin Zheng

In this paper, we propose a novel high-dimensional time-varying coefficient estimator for noisy high-frequency observations with a factor structure. In high-frequency finance, we often observe that noises dominate the signal of underlying…

Methodology · Statistics 2026-05-12 Minseok Shin , Donggyu Kim

This paper presents a new approach for Gaussian process (GP) regression for large datasets. The approach involves partitioning the regression input domain into multiple local regions with a different local GP model fitted in each region.…

Machine Learning · Computer Science 2018-07-10 Chiwoo Park , Daniel Apley
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