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This paper addresses computational challenges in estimating Quantile Regression with Selection (QRS). The estimation of the parameters that model self-selection requires the estimation of the entire quantile process several times. Moreover,…

Econometrics · Economics 2024-02-27 Santiago Pereda-Fernández

Quantile regression is an effective technique to quantify uncertainty, fit challenging underlying distributions, and often provide full probabilistic predictions through joint learnings over multiple quantile levels. A common drawback of…

Machine Learning · Computer Science 2022-02-24 Youngsuk Park , Danielle Maddix , François-Xavier Aubet , Kelvin Kan , Jan Gasthaus , Yuyang Wang

In this paper, we consider high-dimensional Lp-quantile regression which only requires a low order moment of the error and is also a natural generalization of the above methods and Lp-regression as well. The loss function of Lp-quantile…

Statistics Theory · Mathematics 2026-03-05 Fuming Lin WEilin Mou

We propose a novel machine learning approach for forecasting the distribution of stock returns using a rich set of firm-level and market predictors. Our method combines a two-stage quantile neural network with spline interpolation to…

General Finance · Quantitative Finance 2025-08-05 Jozef Barunik , Martin Hronec , Ondrej Tobek

The goal of online prediction with expert advice is to find a decision strategy which will perform almost as well as the best expert in a given pool of experts, on any sequence of outcomes. This problem has been widely studied and…

Machine Learning · Computer Science 2018-05-22 Parameswaran Kamalaruban , Robert C. Williamson , Xinhua Zhang

This book chapter introduces regression approaches and regression adjustment for Approximate Bayesian Computation (ABC). Regression adjustment adjusts parameter values after rejection sampling in order to account for the imperfect match…

Methodology · Statistics 2017-07-06 Michael GB Blum

Motivated by a broad range of potential applications, we address the quantile prediction problem of real-valued time series. We present a sequential quantile forecasting model based on the combination of a set of elementary nearest…

Methodology · Statistics 2010-06-16 Gérard Biau , Benoît Patra

Prediction error is critical to assessing the performance of statistical methods and selecting statistical models. We propose the cross-validation and approximated cross-validation methods for estimating prediction error under a broad…

Statistics Theory · Mathematics 2007-06-13 Jianqing Fan , Chunming Zhang

Rigorous guarantees about the performance of predictive algorithms are necessary in order to ensure their responsible use. Previous work has largely focused on bounding the expected loss of a predictor, but this is not sufficient in many…

Machine Learning · Computer Science 2022-12-29 Jake C. Snell , Thomas P. Zollo , Zhun Deng , Toniann Pitassi , Richard Zemel

The operating state of bearing directly affects the performance of rotating machinery and how to accurately and decisively extract features from the original vibration signal and recognize the faulty parts as early as possible is very…

Signal Processing · Electrical Eng. & Systems 2021-12-03 Haiquan Wang , Wenxuan Yue , Shengjun Wen , Xiaobin Xu , Menghao Su , Shanshan Zhang , Panpan Du

We study the problem of modeling univariate distributions via their quantile functions. We introduce a flexible family of distributions whose quantile function is a linear combination of basis quantiles. Because the model is linear in its…

Methodology · Statistics 2026-02-05 Cheng Peng , Yizhou Li , Stan Uryasev

Missing data is frequently encountered in many areas of statistics. Propensity score weighting is a popular method for handling missing data. The propensity score method employs a response propensity model, but correct specification of the…

Methodology · Statistics 2024-03-28 Hengfang Wang , Jae Kwang Kim , Jeongseop Han , Youngjo Lee

The multinomial probit model is a typical statistical model for multiple-choice data applied in many research areas. When we are interested in some quantiles of relative utilities for understanding the distribution of these utilities, the…

Methodology · Statistics 2025-08-20 Masaaki Okabe , Koki Matsuoka , Jun Tsuchida , Hiroshi Yadohisa

The two main approaches to quantum computing are gate-based computation and analog computation, which are polynomially equivalent in terms of complexity, and they are often seen as alternatives to each other. In this work, we present a…

Quantum Physics · Physics 2025-01-08 Matteo Robbiati , Juan M. Cruz-Martinez , Stefano Carrazza

Quantiles and expected shortfalls are commonly used risk measures in financial risk management. The two measurements are correlated while have distinguished features. In this project, our primary goal is to develop stable and practical…

Methodology · Statistics 2022-08-24 Xiang Peng , Huixia Judy Wang

We develop a collection of methods for adjusting the predictions of quantile regression to ensure coverage. Our methods are model agnostic and can be used to correct for high-dimensional overfitting bias with only minimal assumptions.…

Methodology · Statistics 2025-11-10 Isaac Gibbs , John J. Cherian , Emmanuel J. Candès

In this article, we develop a semiparametric Bayesian estimation and model selection approach for partially linear additive models in conditional quantile regression. The asymmetric Laplace distribution provides a mechanism for Bayesian…

Computation · Statistics 2013-07-11 Yuao Hu , Kaifeng Zhao , Heng Lian

Uncertainty quantification is an important part of many performance critical applications. This paper provides a simple alternative to existing approaches such as ensemble learning and bayesian neural networks. By directly modeling the loss…

Machine Learning · Computer Science 2024-08-28 Yi Hung Lim

Distributional regression aims at estimating the conditional distribution of a targetvariable given explanatory co-variates. It is a crucial tool for forecasting whena precise uncertainty quantification is required. A popular methodology…

Statistics Theory · Mathematics 2024-11-22 Clément Dombry , Ahmed Zaoui

The paper introduces an estimation method for flexible Bayesian quantile regression in ordinal (FBQROR) models i.e., an ordinal quantile regression where the error follows a generalized asymmetric Laplace (GAL) distribution. The GAL…

Statistics Theory · Mathematics 2019-09-16 Mohammad Arshad Rahman , Shubham Karnawat