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From the fundamental theorem of screening (FTS) we obtain the following mathematical relationship relaying the pre-test probability of disease $\phi$ to the positive predictive value $\rho(\phi)$ of a screening test:…

Methodology · Statistics 2021-10-12 Jacques Balayla

While neural network binary classifiers are often evaluated on metrics such as Accuracy and $F_1$-Score, they are commonly trained with a cross-entropy objective. How can this training-evaluation gap be addressed? While specific techniques…

Machine Learning · Computer Science 2022-06-03 Nathan Tsoi , Kate Candon , Deyuan Li , Yofti Milkessa , Marynel Vázquez

Kernel density estimation is a widely used nonparametric approach to estimate an unknown distribution. Recent work in Bayesian predictive inference has considered stochastic processes formed by specifying the predictive distribution for the…

Methodology · Statistics 2026-05-15 Torey Hilbert

Measurement error in count data is common but underexplored in the literature, particularly in contexts where observed scores are bounded and arise from discrete scoring processes. Motivated by applications in oral reading fluency…

Methodology · Statistics 2025-06-26 Yuqiu Yang , Christina Vu , Cornelis J. Potgieter , Xinlei Wang , Akihito Kamata

In this paper, we study the problem of fair classification in the presence of prior probability shifts, where the training set distribution differs from the test set. This phenomenon can be observed in the yearly records of several…

Machine Learning · Computer Science 2020-05-08 Arpita Biswas , Suvam Mukherjee

Researchers at the Ames Laboratory-USDOE and the Federal Bureau of Investigation (FBI) conducted a study to assess the performance of forensic examiners in firearm investigations. The study involved three different types of firearms and 173…

Reconstructing evolutionary trees from molecular sequence data is a fundamental problem in computational biology. Stochastic models of sequence evolution are closely related to spin systems that have been extensively studied in statistical…

Probability · Mathematics 2017-07-20 Sebastien Roch , Allan Sly

Binary classification is a common statistical learning problem in which a model is estimated on a set of covariates for some outcome indicating the membership of one of two classes. In the literature, there exists a distinction between hard…

Machine Learning · Statistics 2014-11-20 Patrick K. Kimes , D. Neil Hayes , J. S. Marron , Yufeng Liu

Survival analysis is a widely-used technique for analyzing time-to-event data in the presence of censoring. In recent years, numerous survival analysis methods have emerged which scale to large datasets and relax traditional assumptions…

Machine Learning · Computer Science 2023-11-06 Mert Ketenci , Shreyas Bhave , Noémie Elhadad , Adler Perotte

Predictability is an emerging metric that quantifies the highest possible prediction accuracy for a given time series, being widely utilized in assessing known prediction algorithms and characterizing intrinsic regularities in human…

Information Theory · Computer Science 2023-03-29 En Xu , Tao Zhou , Zhiwen Yu , Zhuo Sun , Bin Guo

The population-wise error rate (PWER) is a type I error rate for clinical trials with multiple target populations. In such trials, a treatment is tested for its efficacy in each population. The PWER is defined as the probability that a…

Methodology · Statistics 2024-12-13 Remi Luschei , Werner Brannath

The high cost of the test can be dramatically reduced, provided that the coverability as an inherent feature of the code under test is predictable. This article offers a machine learning model to predict the extent to which the test could…

Software Engineering · Computer Science 2022-08-23 Morteza Zakeri-Nasrabadi , Saeed Parsa

In this paper, we study the classical problem of estimating the proportion of a finite population. First, we consider a fixed sample size method and derive an explicit sample size formula which ensures a mixed criterion of absolute and…

Statistics Theory · Mathematics 2009-02-03 Xinjia Chen

Adversarial examples pose a security threat to many critical systems built on neural networks. Given that deterministic robustness often comes with significantly reduced accuracy, probabilistic robustness (i.e., the probability of having…

Machine Learning · Computer Science 2024-05-27 Ruihan Zhang , Jun Sun

Algorithms for binary classification based on adaptive tree partitioning are formulated and analyzed for both their risk performance and their friendliness to numerical implementation. The algorithms can be viewed as generating a set…

Statistics Theory · Mathematics 2014-11-05 Peter Binev , Albert Cohen , Wolfgang Dahmen , Ronald DeVore

A learned generative model often produces biased statistics relative to the underlying data distribution. A standard technique to correct this bias is importance sampling, where samples from the model are weighted by the likelihood ratio…

Machine Learning · Statistics 2019-11-05 Aditya Grover , Jiaming Song , Alekh Agarwal , Kenneth Tran , Ashish Kapoor , Eric Horvitz , Stefano Ermon

Algorithmic fairness is an increasingly important field concerned with detecting and mitigating biases in machine learning models. There has been a wealth of literature for algorithmic fairness in regression and classification however there…

Computers and Society · Computer Science 2022-07-25 Raphael Sonabend , Florian Pfisterer , Alan Mishler , Moritz Schauer , Lukas Burk , Sumantrak Mukherjee , Sebastian Vollmer

This master's thesis discusses an important issue regarding how algorithmic decision making (ADM) is used in crime forecasting. In America forecasting tools are widely used by judiciary systems for making decisions about risk offenders…

Computers and Society · Computer Science 2018-04-06 Tobias D. Krafft

Algorithmic recommendation based on noisy preference measurement is prevalent in recommendation systems. This paper discusses the consequences of such recommendation on market concentration and inequality. Binary types denoting a…

Theoretical Economics · Economics 2025-10-21 Andreas Haupt

Some statistical models are specified via a data generating process for which the likelihood function cannot be computed in closed form. Standard likelihood-based inference is then not feasible but the model parameters can be inferred by…

Computation · Statistics 2015-02-20 Michael U. Gutmann , Jukka Corander , Ritabrata Dutta , Samuel Kaski