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Prediction intervals in supervised Machine Learning bound the region where the true outputs of new samples may fall. They are necessary in the task of separating reliable predictions of a trained model from near random guesses, minimizing…

机器学习 · 计算机科学 2019-12-20 Anton Akusok , Yoan Miche , Kaj-Mikael Björk , Amaury Lendasse

Matching algorithms are commonly used to predict matches between items in a collection. For example, in 1:1 face verification, a matching algorithm predicts whether two face images depict the same person. Accurately assessing the…

统计方法学 · 统计学 2024-04-30 Riccardo Fogliato , Pratik Patil , Pietro Perona

Accurate estimates of subnational health and demographic indicators are critical for informing health policy decisions. Many countries collect relevant data using complex household surveys, but when data are limited, direct survey weighted…

统计方法学 · 统计学 2022-09-07 Peter A. Gao , Jon Wakefield

The estimation of a density profile from experimental data points is a challenging problem, usually tackled by plotting a histogram. Prior assumptions on the nature of the density, from its smoothness to the specification of its form, allow…

统计方法学 · 统计学 2015-03-13 Alberto Bernacchia , Simone Pigolotti

In this paper an easy to implement method of stochastically weighing short and long memory linear processes is introduced. The method renders asymptotically exact size confidence intervals for the population mean which are significantly…

统计方法学 · 统计学 2019-01-15 Masoud M Nasari , Mohamedou Ould-Haye

As machine learning models are increasingly deployed in dynamic environments, it becomes paramount to assess and quantify uncertainties associated with distribution shifts. A distribution shift occurs when the underlying data-generating…

统计方法学 · 统计学 2024-10-08 Jiawei Ge , Debarghya Mukherjee , Jianqing Fan

Conformal prediction is a technique for constructing prediction intervals that attain valid coverage in finite samples, without making distributional assumptions. Despite this appeal, existing conformal methods can be unnecessarily…

统计方法学 · 统计学 2019-05-09 Yaniv Romano , Evan Patterson , Emmanuel J. Candès

An empirical Bayes confidence interval has high user demand in many applications. In particular, the second-order empirical Bayes confidence interval, the coverage error of which is of the third order for large number of areas, is widely…

统计理论 · 数学 2016-12-28 Masayo Y. Hirose

Probability density function estimation with weighted samples is the main foundation of all adaptive importance sampling algorithms. Classically, a target distribution is approximated either by a non-parametric model or within a parametric…

机器学习 · 计算机科学 2023-10-16 Julien Demange-Chryst , François Bachoc , Jérôme Morio , Timothé Krauth

We suggest general methods to construct asymptotically uniformly valid confidence intervals post-model-selection. The constructions are based on principles recently proposed by Berk et al. (2013). In particular the candidate models used can…

统计理论 · 数学 2017-11-15 François Bachoc , David Preinerstorfer , Lukas Steinberger

We develop a general assumption-lean framework for constructing uniformly valid confidence sets for functionals defined by moment equalities, referred to as $Z$-functionals. Our approach combines self-normalized statistics with a test…

统计理论 · 数学 2025-07-11 Woonyoung Chang , Arun Kumar Kuchibhotla

While linear mixed modeling methods are foundational concepts introduced in any statistical education, adequate general methods for interval estimation involving models with more than a few variance components are lacking, especially in the…

统计方法学 · 统计学 2012-11-07 Jessi Cisewski , Jan Hannig

Cross-validation is a widely used technique for evaluating the performance of prediction models, ranging from simple binary classification to complex precision medicine strategies. It helps correct for optimism bias in error estimates,…

Bayesian estimation is increasingly popular for performing model based inference to support policymaking. These data are often collected from surveys under informative sampling designs where subject inclusion probabilities are designed to…

统计方法学 · 统计学 2018-07-13 Luis G. Leon-Novelo , Terrance D. Savitsky

Neural networks with random hidden nodes have gained increasing interest from researchers and practical applications. This is due to their unique features such as very fast training and universal approximation property. In these networks…

神经与进化计算 · 计算机科学 2017-10-16 Grzegorz Dudek

The age of big data has produced data sets that are computationally expensive to analyze and store. Algorithmic leveraging proposes that we sample observations from the original data set to generate a representative data set and then…

应用统计 · 统计学 2018-03-13 Katelyn Gao

We compute bias, variance, and approximate confidence intervals for the efficiency of a random selection process under various special conditions that occur in practical data analysis. We consider the following cases: a) the number of…

应用统计 · 统计学 2023-11-30 Hans Dembinski , Michael Schmelling

We present an algorithmic solution to the problem of incremental belief updating in the context of Monte Carlo inference in Bayesian statistical models represented by probabilistic programs. Given a model and a sample-approximated…

机器学习 · 统计学 2024-02-13 David Tolpin

Cross-validation is a widely-used technique to estimate prediction error, but its behavior is complex and not fully understood. Ideally, one would like to think that cross-validation estimates the prediction error for the model at hand, fit…

统计方法学 · 统计学 2024-03-12 Stephen Bates , Trevor Hastie , Robert Tibshirani

We propose a simple and efficient approach to generate a prediction intervals (PI) for approximated and forecasted trends. Our method leverages a weighted asymmetric loss function to estimate the lower and upper bounds of the PI, with the…

机器学习 · 统计学 2023-07-20 Milo Grillo , Yunpeng Han , Agnieszka Werpachowska