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Current Semi-supervised Learning (SSL) adopts the pseudo-labeling strategy and further filters pseudo-labels based on confidence thresholds. However, this mechanism has notable drawbacks: 1) setting the reasonable threshold is an open…

Computer Vision and Pattern Recognition · Computer Science 2025-03-14 Jiaqi Wu , Junbiao Pang , Qingming Huang

Heavy-tailed distributions, such as the Cauchy distribution, are acknowledged for providing more accurate models for financial returns, as the normal distribution is deemed insufficient for capturing the significant fluctuations observed in…

Statistics Theory · Mathematics 2025-07-31 Ganesh Vishnu Avhad , Ananya Lahiri , Sudheesh K. Kattumannil

In this paper, we present MCBench, a benchmark suite designed to assess the quality of Monte Carlo (MC) samples. The benchmark suite enables quantitative comparisons of samples by applying different metrics, including basic statistical…

We propose a two-stage least squares (2SLS) estimator whose first stage is the equal-weighted average over a complete subset with $k$ instruments among $K$ available, which we call the complete subset averaging (CSA) 2SLS. The approximate…

Econometrics · Economics 2026-02-03 Seojeong Lee , Youngki Shin

Obtaining high-quality labels is costly, whereas unlabeled covariates are often abundant, motivating semi-supervised inference methods with reliable uncertainty quantification. Prediction-powered inference (PPI) leverages a machine-learning…

Machine Learning · Statistics 2026-05-29 Se Yoon Lee , Jae Kwang Kim

The examination of uncertainty in the predictions of machine learning (ML) models is receiving increasing attention. One uncertainty modeling technique used for this purpose is Monte-Carlo (MC)-Dropout, where repeated predictions are…

Computer Vision and Pattern Recognition · Computer Science 2023-05-25 Florian Heidecker , Ahmad El-Khateeb , Bernhard Sick

We propose novel scale-invariant error estimators for the Monte Carlo and multilevel Monte Carlo estimation of mean and variance. For any linear transformation of the distribution of the quantity of interest, the computation cost across…

Numerical Analysis · Mathematics 2025-12-09 Sharana Kumar Shivanand , Bojana Rosić

In healthcare applications, predictive uncertainty has been used to assess predictive accuracy. In this paper, we demonstrate that predictive uncertainty estimated by the current methods does not highly correlate with prediction error by…

Machine Learning · Computer Science 2021-07-08 Shi Hu , Nicola Pezzotti , Max Welling

Conformal regression provides prediction intervals with global coverage guarantees, but often fails to capture local error distributions, leading to non-homogeneous coverage. We address this with a new adaptive method based on rescaling…

Machine Learning · Computer Science 2023-06-01 Nicolas Deutschmann , Mattia Rigotti , Maria Rodriguez Martinez

Multivariate elliptically-contoured distributions are widely used for modeling economic and financial data. We study the problem of estimating moment parameters of a semi-parametric elliptical model in a high-dimensional setting. Such…

Methodology · Statistics 2018-12-17 Zheng Tracy Ke , Koushiki Bose , Jianqing Fan

Estimates in judge designs run the risk of being biased due to the many judge identities that are implicitly or explicitly used as instrumental variables. The usual method to analyse judge designs, via a leave-out mean instrument,…

Econometrics · Economics 2024-06-17 Johannes W. Ligtenberg , Tiemen Woutersen

The problem of small area estimation (SAE) is how to produce reliable estimates of characteristics of interest such as means, counts, quantiles, etc., for areas or domains for which only small samples or no samples are available, and how to…

Methodology · Statistics 2013-02-21 Danny Pfeffermann

Linear regression with measurement error in the covariates is a heavily studied topic, however, the statistics/econometrics literature is almost silent to estimating a multi-equation model with measurement error. This paper considers a…

Methodology · Statistics 2020-06-15 Georges Bresson , Anoop Chaturvedi , Mohammad Arshad Rahman , Shalabh

We consider semi-supervised regression when the predictor variables are drawn from an unknown manifold. A simple two step approach to this problem is to: (i) estimate the manifold geodesic distance between any pair of points using both the…

Machine Learning · Statistics 2019-09-16 Amit Moscovich , Ariel Jaffe , Boaz Nadler

We develop a concept of weak identification in linear IV models in which the number of instruments can grow at the same rate or slower than the sample size. We propose a jackknifed version of the classical weak identification-robust…

Econometrics · Economics 2021-10-06 Anna Mikusheva , Liyang Sun

We study post-calibration uncertainty for trained ensembles of classifiers. Specifically, we consider both aleatoric (label noise) and epistemic (model) uncertainty. Among the most popular and widely used calibration methods in…

Machine Learning · Statistics 2026-02-24 Jakob Heiss , Sören Lambrecht , Jakob Weissteiner , Hanna Wutte , Žan Žurič , Josef Teichmann , Bin Yu

Completely random measures provide a principled approach to creating flexible unsupervised models, where the number of latent features is infinite and the number of features that influence the data grows with the size of the data set. Due…

Machine Learning · Statistics 2020-06-26 Peiyuan Zhu , Alexandre Bouchard-Côté , Trevor Campbell

The uncertainty of classification outcomes is of crucial importance for many safety critical applications including, for example, medical diagnostics. In such applications the uncertainty of classification can be reliably estimated within a…

Artificial Intelligence · Computer Science 2007-05-23 V. Schetinin , J. E. Fieldsend , D. Partridge , W. J. Krzanowski , R. M. Everson , T. C. Bailey , A. Hernandez

Many methods have been proposed to quantify the predictive uncertainty associated with the outputs of deep neural networks. Among them, ensemble methods often lead to state-of-the-art results, though they require modifications to the…

Machine Learning · Computer Science 2021-05-11 Zhiyun Lu , Eugene Ie , Fei Sha

Instance segmentation has witnessed promising advancements through deep neural network-based algorithms. However, these models often exhibit incorrect predictions with unwarranted confidence levels. Consequently, evaluating prediction…

Computer Vision and Pattern Recognition · Computer Science 2023-09-20 Qasim M. K. Siddiqui , Sebastian Starke , Peter Steinbach
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