Deep quantile regression: Mitigating the curse of dimensionality through composition

G Shen, Y Jiao, Y Lin, JL Horowitz, J Huang - arXiv preprint arXiv …, 2021 - arxiv.org
This paper considers the problem of nonparametric quantile regression under the
assumption that the target conditional quantile function is a composition of a sequence of …

Robust nonparametric regression with deep neural networks

G Shen, Y Jiao, Y Lin, J Huang - arXiv preprint arXiv:2107.10343, 2021 - arxiv.org
In this paper, we study the properties of robust nonparametric estimation using deep neural
networks for regression models with heavy tailed error distributions. We establish the non …

Deep regression learning with optimal loss function

X Wang, L Zhou, H Lin - arXiv preprint arXiv:2309.12872, 2023 - arxiv.org
In this paper, we develop a novel efficient and robust nonparametric regression estimator
under a framework of feedforward neural network. There are several interesting …

Quantile regression by dyadic CART

OH Madrid Padilla, S Chatterjee - Electronic Journal of Statistics, 2024 - projecteuclid.org
In this paper we propose and study a version of the Dyadic Classification and Regression
Trees (DCART) estimator from Donoho (1997) for (fixed design) quantile regression in …

Contributions to Nonparametric Quantile Analysis and Quantile-Based Mediation Analysis, With Applications to Lifecourse Analysis in Human Biology

S Gupta - 2022 - deepblue.lib.umich.edu
This thesis develops and assesses new ways to study the conditional quantiles of a
population using a sample of data that represents the population. All methods presented …

Essays in macroeconomic and financial forecasting using big data econometric methods

A Raftapostolos - 2022 - stax.strath.ac.uk
This thesis explores several aspects of econometric methods in time series forecasting of
both macroeconomic and financial variables. The contribution is provided in three essays …

From Linear Model to Nonparametric Regression: Estimation, Post-selection Inference and Deep Neural Regression

G Shen - 2022 - search.proquest.com
With the development of science and technology, various data with large size and high
dimensionality are collected, stored, and analyzed. Meanwhile, data science including …