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The statistical challenges in using big data for making valid statistical inference in the finite population have been well documented in literature. These challenges are due primarily to statistical bias arising from under-coverage in the…

Methodology · Statistics 2020-06-19 Jae-kwang Kim , Siu-Ming Tam

In the age of big data, nonprobability surveys are becoming increasingly abundant. Data integration techniques involving both probability and nonprobability surveys are being extensively used for providing improved estimates for finite…

Applications · Statistics 2025-10-17 Aditi Sen , Partha Lahiri

Doubly robust estimators have gained widespread popularity in various fields due to their ability to provide unbiased estimates under model misspecification. However, the asymptotic theory for doubly robust estimators with continuous-time…

Statistics Theory · Mathematics 2024-04-23 Andrew Ying

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-asymptotic error bounds for a class of robust…

Statistics Theory · Mathematics 2021-07-23 Guohao Shen , Yuling Jiao , Yuanyuan Lin , Jian Huang

Deep neural networks tend to underestimate uncertainty and produce overly confident predictions. Recently proposed solutions, such as MC Dropout and SDENet, require complex training and/or auxiliary out-of-distribution data. We propose a…

Machine Learning · Computer Science 2021-10-14 Akib Mashrur , Wei Luo , Nayyar A. Zaidi , Antonio Robles-Kelly

The case-control sampling design serves as a pivotal strategy in mitigating the imbalanced structure observed in binary data. We consider the estimation of a non-parametric logistic model with the case-control data supplemented by external…

Machine Learning · Statistics 2024-09-04 Hengchao Shi , Ming Zheng , Wen Yu

Nonlinear regression problem is one of the most popular and important statistical tasks. The first methods like least squares estimation go back to Gauss and Legendre. Recent models and developments in statistics and machine learning like…

Statistics Theory · Mathematics 2025-02-20 Vladimir Spokoiny

We propose a general approach to construct weighted likelihood estimating equations with the aim of obtaining robust parameter estimates. We modify the standard likelihood equations by incorporating a weight that reflects the statistical…

Statistics Theory · Mathematics 2025-07-24 Claudio Agostinelli , Ayanendranath Basu , Giulia Bertagnolli , Arun Kumar Kuchibhotla

Deep neural networks (DNNs) have become integral to a wide range of scientific and practical applications due to their flexibility and strong predictive performance. Despite their accuracy, however, DNNs frequently exhibit poor calibration,…

Machine Learning · Computer Science 2026-03-12 Sanne Ruijs , Alina Kosiakova , Farrukh Javed

In the field of computational physics and material science, the efficient sampling of rare events occurring at atomic scale is crucial. It aids in understanding mechanisms behind a wide range of important phenomena, including protein…

Machine Learning · Computer Science 2024-01-17 Xinru Hua , Rasool Ahmad , Jose Blanchet , Wei Cai

The reliability of software that has a Deep Neural Network (DNN) as a component is urgently important today given the increasing number of critical applications being deployed with DNNs. The need for reliability raises a need for rigorous…

Software Engineering · Computer Science 2021-03-01 Swaroopa Dola , Matthew B. Dwyer , Mary Lou Soffa

Deep neural networks (DNN) are the state of the art on many engineering problems such as computer vision and audition. A key factor in the success of the DNN is scalability - bigger networks work better. However, the reason for this…

Machine Learning · Computer Science 2015-02-13 Andrew J. R. Simpson

The consistency of doubly robust estimators relies on consistent estimation of at least one of two nuisance regression parameters. In moderate to large dimensions, the use of flexible data-adaptive regression estimators may aid in achieving…

Machine Learning · Statistics 2019-01-30 Iván Díaz

In the last decade, machine learning techniques have gained popularity for estimating causal effects. One machine learning approach that can be used for estimating an average treatment effect is Double/debiased machine learning (DML)…

Econometrics · Economics 2025-01-17 Daniele Ballinari , Nora Bearth

Distant speech recognition is a challenge, particularly due to the corruption of speech signals by reverberation caused by large distances between the speaker and microphone. In order to cope with a wide range of reverberations in…

Computation and Language · Computer Science 2016-08-18 Jeehye Lee , Myungin Lee , Joon-Hyuk Chang

This study evaluates deep neural networks for forecasting probability distributions of financial returns. 1D convolutional neural networks (CNN) and Long Short-Term Memory (LSTM) architectures are used to forecast parameters of three…

Risk Management · Quantitative Finance 2025-09-03 Jakub Michańków

We propose a two-sample testing procedure based on learned deep neural network representations. To this end, we define two test statistics that perform an asymptotic location test on data samples mapped onto a hidden layer. The tests are…

Machine Learning · Statistics 2020-03-11 Matthias Kirchler , Shahryar Khorasani , Marius Kloft , Christoph Lippert

In this paper, we develop a novel efficient and robust nonparametric regression estimator under a framework of feedforward neural network. There are several interesting characteristics for the proposed estimator. First, the loss function is…

Methodology · Statistics 2023-09-25 Xuancheng Wang , Ling Zhou , Huazhen Lin

In this paper, the authors first provide an overview of two major developments on complex survey data analysis: the empirical likelihood methods and statistical inference with non-probability survey samples, and highlight the important…

Methodology · Statistics 2025-08-14 Yilin Chen , Pengfei Li , J. N. K. Rao , Changbao Wu

Deep neural networks have achieved substantial achievements in several computer vision areas, but have vulnerabilities that are often fooled by adversarial examples that are not recognized by humans. This is an important issue for security…

Computer Vision and Pattern Recognition · Computer Science 2021-01-29 Hakmin Lee , Hong Joo Lee , Seong Tae Kim , Yong Man Ro
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