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Logistic regression is one of the most popular methods in binary classification, wherein estimation of model parameters is carried out by solving the maximum likelihood (ML) optimization problem, and the ML estimator is defined to be the…

最优化与控制 · 数学 2018-10-23 Robert M. Freund , Paul Grigas , Rahul Mazumder

Every student in statistics or data science learns early on that when the sample size largely exceeds the number of variables, fitting a logistic model produces estimates that are approximately unbiased. Every student also learns that there…

统计理论 · 数学 2022-06-08 Pragya Sur , Emmanuel J. Candes

In this paper, we consider the nonparametric random regression model $Y=f_1(X_1)+f_2(X_2)+\epsilon$ and address the problem of estimating the function $f_1$. The term $f_2(X_2)$ is regarded as a nuisance term which can be considerably more…

统计理论 · 数学 2015-02-03 Martin Wahl

The paper exposes a non-parametric approach to latent and co-latent modeling of bivariate data, based upon alternating minimization of the Kullback-Leibler divergence (EM algorithm) for complete log-linear models. For categorical data, the…

统计方法学 · 统计学 2016-03-10 François Bavaud

Current status data are commonly encountered in medical and epidemiological studies in which the failure time for study units is the outcome variable of interest. Data of this form are characterized by the fact that the failure time is not…

统计方法学 · 统计学 2019-04-25 Yan Liu , Minggen Lu , Christopher S. McMahan

I consider inference in a partially linear regression model under stationary $\beta$-mixing data after first stage deep neural network (DNN) estimation. Using the DNN results of Brown (2024), I show that the estimator for the finite…

计量经济学 · 经济学 2024-10-31 Chad Brown

We consider generalized linear regression analysis with left-censored covariate due to the lower limit of detection. Complete case analysis by eliminating observations with values below limit of detection yields valid estimates for…

统计方法学 · 统计学 2014-12-09 Shengchun Kong , Bin Nan

The partitioning of data for estimation and calibration critically impacts the performance of propensity score based estimators like inverse probability weighting (IPW) and double/debiased machine learning (DML) frameworks. We extend recent…

机器学习 · 统计学 2025-05-20 Sven Klaassen , Jan Rabenseifner , Jannis Kueck , Philipp Bach

A natural way of estimating heteroscedastic label noise in regression is to model the observed (potentially noisy) target as a sample from a normal distribution, whose parameters can be learned by minimizing the negative log-likelihood.…

机器学习 · 计算机科学 2023-08-15 Erik Englesson , Amir Mehrpanah , Hossein Azizpour

This paper proposes a method to automatically construct or estimate Neyman-orthogonal moments in general models defined by a finite number of conditional moment restrictions (CMRs), with possibly different conditioning variables and…

计量经济学 · 经济学 2025-12-10 Facundo Argañaraz

In many modern applications, a carefully designed primary study provides individual-level data for interpretable modeling, while summary-level external information is available through black-box, efficient, and nonparametric…

统计方法学 · 统计学 2026-04-07 Chi-Shian Dai , Jun Shao

We propose a structure of a semiparametric two-component mixture model when one component is parametric and the other is defined through linear constraints on its distribution function. Estimation of a two-component mixture model with an…

统计方法学 · 统计学 2017-12-22 Diaa Al Mohamad , Assia Boumahdaf

This work proposes a machine-learning framework for constructing statistical models of errors incurred by approximate solutions to parameterized systems of nonlinear equations. These approximate solutions may arise from early termination of…

数值分析 · 计算机科学 2019-02-18 Brian A. Freno , Kevin T. Carlberg

We develop a general estimation and inference procedure for the common parameters in linear panel data regression models with nonparametric two-way specification of unobserved heterogeneity. The procedure takes as input any first-step…

计量经济学 · 经济学 2026-05-08 Hugo Freeman , Dennis Kristensen

The presence of label noise often misleads the training of deep neural networks. Departing from the recent literature which largely assumes the label noise rate is only determined by the true label class, the errors in human-annotated…

机器学习 · 计算机科学 2021-03-31 Zhaowei Zhu , Tongliang Liu , Yang Liu

There has been much interest in recent years in learning good classifiers from data with noisy labels. Most work on learning from noisy labels has focused on standard loss-based performance measures. However, many machine learning problems…

机器学习 · 计算机科学 2024-04-25 Mingyuan Zhang , Shivani Agarwal

The additive partially linear model (APLM) combines the flexibility of nonparametric regression with the parsimony of regression models, and has been widely used as a popular tool in multivariate nonparametric regression to alleviate the…

统计方法学 · 统计学 2019-03-19 Xinyi Li , Li Wang , Dan Nettleton

Nonlinear Mixed effects models are hidden variables models that are widely used in many fields such as pharmacometrics. In such models, the distribution characteristics of hidden variables can be specified by including several parameters…

统计方法学 · 统计学 2021-10-19 Edouard Ollier

Many causal and structural effects depend on regressions. Examples include policy effects, average derivatives, regression decompositions, average treatment effects, causal mediation, and parameters of economic structural models. The…

统计理论 · 数学 2022-10-25 Victor Chernozhukov , Whitney K Newey , Rahul Singh

We consider the structured-output prediction problem through probabilistic approaches and generalize the "perturb-and-MAP" framework to more challenging weighted Hamming losses, which are crucial in applications. While in principle our…

机器学习 · 统计学 2018-11-22 Tatiana Shpakova , Francis Bach , Anton Osokin