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Forensic scientists are often criticised for the lack of quantitative support for the conclusions of their examinations. While scholars advocate for the use of a Bayes factor to quantify the weight of forensic evidence, it is often…

Familiar statistical tests and estimates are obtained by the direct observation of cases of interest: a clinical trial of a new drug, for instance, will compare the drug's effects on a relevant set of patients and controls. Sometimes,…

统计方法学 · 统计学 2010-12-09 Bradley Efron

The problem of locating an odor source in turbulent flows is central to key applications such as environmental monitoring and disaster response. We address this challenge by designing an algorithm based on Bayesian inference, which uses…

流体动力学 · 物理学 2025-04-11 Lorenzo Piro , Robin A. Heinonen , Massimo Cencini , Luca Biferale

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…

应用统计 · 统计学 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,…

统计计算 · 统计学 2016-05-06 Ritabrata Dutta , Paul Blomstedt , Samuel Kaski

In this paper we propose a Bayesian answer to testing problems when the hypotheses are not well separated. The idea of the method is to study the posterior distribution of a discrepancy measure between the parameter and the model we want to…

统计理论 · 数学 2017-06-28 Jean-Bernard Salomond

We propose a method that infers whether linear relations between two high-dimensional variables X and Y are due to a causal influence from X to Y or from Y to X. The earlier proposed so-called Trace Method is extended to the regime where…

机器学习 · 计算机科学 2012-02-20 Jakob Zscheischler , Dominik Janzing , Kun Zhang

When a latent shoeprint is discovered at a crime scene, forensic analysts inspect it for distinctive patterns of wear such as scratches and holes (known as accidentals) on the source shoe's sole. If its accidentals correspond to those of a…

应用统计 · 统计学 2020-02-28 Neil A. Spencer , Jared S. Murray

Determining causal relationship between high dimensional observations are among the most important tasks in scientific discoveries. In this paper, we revisited the \emph{linear trace method}, a technique proposed…

机器学习 · 计算机科学 2023-03-15 Arun Jambulapati , Hilaf Hasson , Youngsuk Park , Yuyang Wang

We propose a Bayesian evidence-based inference framework based on relative belief ratios and apply it to discriminating between one and two incoherent optical point sources using spatial-mode demultiplexing (SPADE). Unlike the Helstrom…

In variational inference, the benefits of Bayesian models rely on accurately capturing the true posterior distribution. We propose using neural samplers that specify implicit distributions, which are well-suited for approximating complex…

机器学习 · 计算机科学 2023-11-10 Anshuk Uppal , Kristoffer Stensbo-Smidt , Wouter Boomsma , Jes Frellsen

Odor detection underpins food safety, environmental monitoring, medical diagnostics, and many more fields. The current artificial sensors developed for odor detection struggle with complex mixtures while non-invasive recordings lack…

机器学习 · 计算机科学 2025-08-14 Matin Hassanloo , Ali Zareh , Mehmet Kemal Özdemir

Mixture interpretation is a central challenge in forensic science, where evidence often contains contributions from multiple sources. In the context of DNA analysis, biological samples recovered from crime scenes may include genetic…

统计方法学 · 统计学 2025-05-05 Taylor Petty , Jan Hannig , Hari Iyer

In this paper we introduce a new digital image forensics approach called forensic similarity, which determines whether two image patches contain the same forensic trace or different forensic traces. One benefit of this approach is that…

计算机视觉与模式识别 · 计算机科学 2020-04-22 Owen Mayer , Matthew C. Stamm

Digital forensic is now an unavoidable part for securing the digital world from identity theft. Higher order of crimes, dealing with a massive database is really very challenging problem for any intelligent system. Biometric is a better…

计算机视觉与模式识别 · 计算机科学 2024-02-20 Asish Bera , Debotosh Bhattacharjee , Mita Nasipuri

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…

应用统计 · 统计学 2015-03-31 Danica M. Ommen , Christopher P. Saunders , Cedric Neumann

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)…

统计方法学 · 统计学 2020-12-14 Jonathan P Williams , Danica M Ommen , Jan Hannig

Bayesian likelihood-free methods implement Bayesian inference using simulation of data from the model to substitute for intractable likelihood evaluations. Most likelihood-free inference methods replace the full data set with a summary…

统计方法学 · 统计学 2020-10-16 Yinan Mao , Xueou Wang , David J. Nott , Michael Evans

We introduce an approach which allows detecting causal relationships between variables for which the time evolution is available. Causality is assessed by a variational scheme based on the Information Imbalance of distance ranks, a…

统计方法学 · 统计学 2024-05-07 Vittorio Del Tatto , Gianfranco Fortunato , Domenica Bueti , Alessandro Laio

Given two relations containing multiple measurements - possibly with uncertainties - our objective is to find which sets of attributes from the first have a corresponding set on the second, using exclusively a sample of the data. This…

数据库 · 计算机科学 2022-07-20 Alejandro Alvarez-Ayllon , Manuel Palomo-Duarte , Juan-Manuel Dodero
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