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A goal in the forensic interpretation of scientific evidence is to make an inference about the source of a trace of unknown origin. The evidence is composed of the following three elements: (a) the trace of unknown origin, (b) a sample from…

Applications · Statistics 2015-03-31 Danica M. Ommen , Christopher P. Saunders , Cedric Neumann

For several decades, legal and scientific scholars have argued that conclusions from forensic examinations should be supported by statistical data and reported within a probabilistic framework. Multiple models have been proposed to quantify…

Applications · Statistics 2019-10-14 Cedric Neumann , Madeline A. Ausdemore

Hierarchical models are versatile tools for joint modeling of data sets arising from different, but related, sources. Fully Bayesian inference may, however, become computationally prohibitive if the source-specific data models are complex,…

Computation · Statistics 2016-05-06 Ritabrata Dutta , Paul Blomstedt , Samuel Kaski

One formulation of forensic identification of source problems is to determine the source of trace evidence, for instance, glass fragments found on a suspect for a crime. The current state of the science is to compute a Bayes factor (BF)…

Methodology · Statistics 2020-12-14 Jonathan P Williams , Danica M Ommen , Jan Hannig

The issue of distinguishing between the same-source and different-source hypotheses based on various types of traces is a generic problem in forensic science. This problem is often tackled with Bayesian approaches, which are able to provide…

Machine Learning · Computer Science 2023-03-17 Isabelle Rivals , Cédric Sautier , Guillaume Cognon , Vincent Cuzuel

In many scientific applications, the target probability distribution cannot be evaluated in closed form or sampled from directly. Instead, it can often be decomposed into multiple components, some of which are accessible only through…

Methodology · Statistics 2026-03-10 Roxana Darvishi , David C. Stenning , Ted von Hippel , Owen G. Ward

The forensic science community has increasingly sought quantitative methods for conveying the weight of evidence. Experts from many forensic laboratories summarize their findings in terms of a likelihood ratio. Several proponents of this…

Applications · Statistics 2017-04-28 Steven P. Lund , Hari K. Iyer

Forensic examination of evidence like firearms and toolmarks, traditionally involves a visual and therefore subjective assessment of similarity of two questioned items. Statistical models are used to overcome this subjectivity and allow…

Human-Computer Interaction · Computer Science 2021-11-03 Ganesh Krishnan , Heike Hofmann

The persistent issue of wrongful convictions in the United States emphasizes the need for scrutiny and improvement of the criminal justice system. While statistical methods for the evaluation of forensic evidence, including glass,…

Applications · Statistics 2024-03-25 Xiangyu Xu , Giuseppe Vinci

For more than a century, fingerprints have been used with considerable success to identify criminals or verify the identity of individuals. The categorical conclusion scheme used by fingerprint examiners, and more generally the inference…

Methodology · Statistics 2020-01-14 J. H. Hendricks , C. Neumann , C. P. Saunders

A critical step in data analysis for many different types of experiments is the identification of features with theoretically defined shapes in N-dimensional datasets; examples of this process include finding peaks in multi-dimensional…

Data Analysis, Statistics and Probability · Physics 2022-08-25 Korak Kumar Ray , Anjali R. Verma , Ruben L. Gonzalez , Colin D. Kinz-Thompson

Forensic science often involves the comparison of crime-scene evidence to a known-source sample to determine if the evidence and the reference sample came from the same source. Even as forensic analysis tools become increasingly objective…

Applications · Statistics 2019-10-17 Amanda Luby , Anjali Mazumder , Brian Junker

In this paper, we address the problem of conducting statistical inference in settings involving large-scale data that may be high-dimensional and contaminated by outliers. The high volume and dimensionality of the data require distributed…

Machine Learning · Statistics 2022-11-30 Emadaldin Mozafari-Majd , Visa Koivunen

The Bayes factor, the data-based updating factor of the prior to posterior odds of two hypotheses, is a natural measure of statistical evidence for one hypothesis over the other. We show how Bayes factors can also be used for parameter…

Methodology · Statistics 2025-07-09 Samuel Pawel

Model inadequacy and measurement uncertainty are two of the most confounding aspects of inference and prediction in quantitative sciences. The process of scientific inference (the inverse problem) and prediction (the forward problem)…

Data Analysis, Statistics and Probability · Physics 2017-11-30 Amir Shahmoradi

In almost every scientific field, an experiment involves collecting data and then analysing it. The analysis stage will often consist in trying to extract some physical parameter and estimating its uncertainty; this is known as Parameter…

Data Analysis, Statistics and Probability · Physics 2015-06-12 Louis Lyons

Motivation: Modelling methods that find structure in data are necessary with the current large volumes of genomic data, and there have been various efforts to find subsets of genes exhibiting consistent patterns over subsets of treatments.…

Machine Learning · Computer Science 2016-09-15 Kerstin Bunte , Eemeli Leppäaho , Inka Saarinen , Samuel Kaski

Feature selection is an important but challenging task in causal inference for obtaining unbiased estimates of causal quantities. Properly selected features in causal inference not only significantly reduce the time required to implement a…

Methodology · Statistics 2025-02-04 Tianyu Yang , Md. Noor-E-Alam

Combining evidence from different sources can be achieved with Bayesian or Dempster-Shafer methods. The first requires an estimate of the priors and likelihoods while the second only needs an estimate of the posterior probabilities and…

Machine Learning · Computer Science 2021-04-16 Fabrice Daniel

In statistics, there are a variety of methods for performing model selection that all stem from slightly different paradigms of statistical inference. The reasons for choosing one particular method over another seem to be based entirely on…

Statistics Theory · Mathematics 2019-01-29 Danica M. Ommen , Christopher P. Saunders
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