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Capturing aleatoric uncertainty is a critical part of many machine learning systems. In deep learning, a common approach to this end is to train a neural network to estimate the parameters of a heteroscedastic Gaussian distribution by…

Machine Learning · Computer Science 2022-04-04 Maximilian Seitzer , Arash Tavakoli , Dimitrije Antic , Georg Martius

Predictive uncertainty-a model's self awareness regarding its accuracy on an input-is key for both building robust models via training interventions and for test-time applications such as selective classification. We propose a novel…

Machine Learning · Computer Science 2024-01-04 Nishant Jain , Karthikeyan Shanmugam , Pradeep Shenoy

Designing the sensing architecture for large-scale spatio-temporal systems is hard when accuracy requirements are specified but sensor models are uncertain or unavailable. Classical design treats sensor placement and estimation…

Information Theory · Computer Science 2026-05-13 Raktim Bhattacharya

Meta-analysis represents a widely accepted approach for evaluating the accuracy of diagnostic tools in clinical and psychological investigations. This paper investigates the applicability of multinomial tree models recently suggested in the…

Methodology · Statistics 2024-05-29 Annamaria Guolo

A common method for assessing validity of Bayesian sampling or approximate inference methods makes use of simulated data replicates for parameters drawn from the prior. Under continuity assumptions, quantiles of functions of the simulated…

Computation · Statistics 2019-11-21 Xuejun Yu , David J. Nott , Minh-Ngoc Tran , Nadja Klein

In the absence of a randomized experiment, a key assumption for drawing causal inference about treatment effects is the ignorable treatment assignment. Violations of the ignorability assumption may lead to biased treatment effect estimates.…

Methodology · Statistics 2021-08-17 Liangyuan Hu , Jungang Zou , Chenyang Gu , Jiayi Ji , Michael Lopez , Minal Kale

In diagnostic test accuracy meta-analysis (DTA-MA), standard inference methods using bivariate random-effects models for jointly synthesizing sensitivity and specificity can be sensitive to outlying studies and may yield misleading…

Methodology · Statistics 2026-05-01 Kotaro Sasaki , Hisashi Noma , Theodoros Evrenoglou

The fate of scientific hypotheses often relies on the ability of a computational model to explain the data, quantified in modern statistical approaches by the likelihood function. The log-likelihood is the key element for parameter…

Machine Learning · Computer Science 2021-01-27 Bas van Opheusden , Luigi Acerbi , Wei Ji Ma

This paper proposes a new feature screening method for the multi-response ultrahigh dimensional linear model by empirical likelihood. Through a multivariate moment condition, the empirical likelihood induced ranking statistics can exploit…

Methodology · Statistics 2022-06-07 Jun Lu , Qinqin Hu , Lu Lin

Bayesian synthetic likelihood (BSL) is now a well established method for performing approximate Bayesian parameter estimation for simulation-based models that do not possess a tractable likelihood function. BSL approximates an intractable…

Computation · Statistics 2019-10-04 Ziwen An , David J. Nott , Christopher Drovandi

Random-effects models are central to meta-analysis, yet the between-study variance is often underestimated when the number of studies is small. In such settings, confidence intervals become unduly narrow and fail to attain the nominal…

Methodology · Statistics 2025-11-18 Keisuke Hanada , Tomoyuki Sugimoto

While meta-analyzing retrospective cancer patient cohorts, an investigation of differences in the expressions of target oncogenes across cancer subtypes is of substantial interest because the results may uncover novel tumorigenesis…

Methodology · Statistics 2023-07-03 Subharup Guha , David C. Christiani , S. V. Subramanian , Yi Li

For many stochastic models of interest in systems biology, such as those describing biochemical reaction networks, exact quantification of parameter uncertainty through statistical inference is intractable. Likelihood-free computational…

Molecular Networks · Quantitative Biology 2021-05-10 David J. Warne , Ruth E. Baker , Matthew J. Simpson

Uncertainty quantification for Particle Image Velocimetry (PIV) is critical for comparing flow fields with Computational Fluid Dynamics (CFD) results, and model design and validation. However, PIV features a complex measurement chain with…

Fluid Dynamics · Physics 2021-07-07 Lalit K. Rajendran , Sayantan Bhattacharya , Sally P. M. Bane , Pavlos P. Vlachos

Standard maximum-likelihood estimators for binary-star and exoplanet eccentricities are biased high, in the sense that the estimated eccentricity tends to be larger than the true eccentricity. As with most non-trivial observables, a simple…

Solar and Stellar Astrophysics · Physics 2011-01-19 David W. Hogg , Adam D. Myers , Jo Bovy

Meta-analyses of diagnostic test accuracy (DTA) studies have been gathering attention in research in clinical epidemiology and health technology development, and bivariate random-effects model is becoming a standard tool. However, standard…

Methodology · Statistics 2020-06-19 Tsubasa Ito , Shonosuke Sugasawa

Estimations of physical parameters using data usually involve non-uniform experimental efficiencies. In this article, a method of maximum likelihood fit is introduced using the efficiency as a weight, while the probability distribution…

Data Analysis, Statistics and Probability · Physics 2023-08-31 Chenxu Yu , Yanxi Zhang

Major advances have been made regarding the utilization of artificial intelligence in health care. In particular, deep learning approaches have been successfully applied for automated and assisted disease diagnosis and prognosis based on…

Methodology · Statistics 2020-03-24 Max Westphal , Antonia Zapf , Werner Brannath

Recently maximum pseudo-likelihood (MPL) inference method has been successfully applied to statistical physics models with intractable likelihoods. We use information theory to derive a relation between the pseudo-likelihood and likelihood…

Disordered Systems and Neural Networks · Physics 2015-06-18 Alexander Mozeika , Onur Dikmen , Joonas Piili

Sensitivity analyses reveal the influence of various modeling choices on the outcomes of statistical analyses. While theoretically appealing, they are overwhelmingly inefficient for complex Bayesian models. In this work, we propose…