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A key trait of stochastic optimizers is that multiple runs of the same optimizer in attempting to solve the same problem can produce different results. As a result, their performance is evaluated over several repeats, or runs, on the…

Machine Learning · Computer Science 2026-05-18 Moslem Noori , Elisabetta Valiante , Thomas Van Vaerenbergh , Masoud Mohseni , Ignacio Rozada

Maximum pseudolikelihood (MPL) estimators are useful alternatives to maximum likelihood (ML) estimators when likelihood functions are more difficult to manipulate than their marginal and conditional components. Furthermore, MPL estimators…

Methodology · Statistics 2017-08-30 Hien D. Nguyen

A difficulty in MSE estimation occurs because we do not specify a full distribution for the survey weights. This obfuscates the use of fully parametric bootstrap procedures. To overcome this challenge, we develop a novel MSE estimator. We…

Methodology · Statistics 2022-10-25 Yanghyeon Cho , Emily Berg

Non-negative least-mean-square (NNLMS) algorithm and its variants have been proposed for online estimation under non-negativity constraints. The transient behavior of the NNLMS, Normalized NNLMS, Exponential NNLMS and Sign-Sign NNLMS…

Machine Learning · Computer Science 2015-06-18 Jie Chen , José Carlos M. Bermudez , Cédric Richard

There has been a recent surge in research on causal panel data models, leading to many new estimators for average causal effects. However, researchers have paid less attention to quantifying the precision of these estimators. This paper…

Econometrics · Economics 2025-11-25 Alexander Almeida , Susan Athey , Guido Imbens , Eva Lestant , Alexia Olaizola

We study stochastic gradient descent for solving conditional stochastic optimization problems, in which an objective to be minimized is given by a parametric nested expectation with an outer expectation taken with respect to one random…

Numerical Analysis · Mathematics 2023-04-28 Takashi Goda , Wataru Kitade

There has been a surge of interest in developing robust estimators for models with heavy-tailed and bounded variance data in statistics and machine learning, while few works impose unbounded variance. This paper proposes two type of robust…

Machine Learning · Statistics 2022-10-12 Lihu Xu , Fang Yao , Qiuran Yao , Huiming Zhang

Robust estimation under multivariate normal (MVN) mixture model is always a computational challenge. A recently proposed maximum pseudo \b{eta}-likelihood estimator aims to estimate the unknown parameters of a MVN mixture model in the…

Statistics Theory · Mathematics 2023-02-14 Soumya Chakraborty , Ayanendranath Basu , Abhik Ghosh

Spectral learning recently generated lots of excitement in machine learning, largely because it is the first known method to produce consistent estimates (under suitable conditions) for several latent variable models. In contrast, maximum…

Machine Learning · Computer Science 2014-06-19 Han Zhao , Pascal Poupart

Nonresponse after probability sampling is a universal challenge in survey sampling, often necessitating adjustments to mitigate sampling and selection bias simultaneously. This study explored the removal of bias and effective utilization of…

Methodology · Statistics 2025-11-13 Kosuke Morikawa , Kenji Beppu , Wataru Aida

This paper develops a difference-in-differences (DiD) estimation method that selects the optimal length of pre-trends by minimizing the mean squared error (MSE). Conventional DiD regression models, such as the two-way fixed effects model or…

Econometrics · Economics 2026-05-07 Yamato Igarashi

A solution to control for nonresponse bias consists of multiplying the design weights of respondents by the inverse of estimated response probabilities to compensate for the nonrespondents. Maximum likelihood and calibration are two…

Methodology · Statistics 2023-10-27 Caren Hasler

In designing external validation studies of clinical prediction models, contemporary sample size calculation methods are based on the frequentist inferential paradigm. One of the widely reported metrics of model performance is net benefit…

Applications · Statistics 2025-02-28 Mohsen Sadatsafavi , Andrew J Vickers , Tae Yoon Lee , Paul Gustafson , Laure Wynants

We propose a multilevel stochastic approximation (MLSA) scheme for the computation of the value-at-risk (VaR) and expected shortfall (ES) of a financial loss, which can only be computed via simulations conditionally on the realisation of…

Computational Finance · Quantitative Finance 2026-04-14 Stéphane Crépey , Noufel Frikha , Azar Louzi

Given the complexity of combinations of tasks, languages, and domains in natural language processing (NLP) research, it is computationally prohibitive to exhaustively test newly proposed models on each possible experimental setting. In this…

Computation and Language · Computer Science 2020-05-05 Mengzhou Xia , Antonios Anastasopoulos , Ruochen Xu , Yiming Yang , Graham Neubig

The variational auto-encoder (VAE) is a deep latent variable model that has two neural networks in an autoencoder-like architecture; one of them parameterizes the model's likelihood. Fitting its parameters via maximum likelihood (ML) is…

Machine Learning · Computer Science 2021-06-03 Francisco J. R. Ruiz , Michalis K. Titsias , Taylan Cemgil , Arnaud Doucet

Some classical uncertainty quantification problems require the estimation of multiple expectations. Estimating all of them accurately is crucial and can have a major impact on the analysis to perform, and standard existing Monte Carlo…

Methodology · Statistics 2022-12-02 Julien Demange-Chryst , François Bachoc , Jérôme Morio

Patient care may be improved by recommending treatments based on patient characteristics when there is treatment effect heterogeneity. Recently, there has been a great deal of attention focused on the estimation of optimal treatment rules…

Methodology · Statistics 2024-01-29 Michael Jetsupphasuk , Michael G. Hudgens , Jessie K. Edwards , Stephen R. Cole

We present large sample results for partitioning-based least squares nonparametric regression, a popular method for approximating conditional expectation functions in statistics, econometrics, and machine learning. First, we obtain a…

Statistics Theory · Mathematics 2020-07-20 Matias D. Cattaneo , Max H. Farrell , Yingjie Feng

The soft-margin support vector machine (SVM) is a ubiquitous tool for prediction of binary-response data. However, the SVM is characterized entirely via a numerical optimization problem, rather than a probability model, and thus does not…

Methodology · Statistics 2020-07-24 Hien D Nguyen , Daniel V Fryer
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