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Posterior sampling by Monte Carlo methods provides a more comprehensive solution approach to inverse problems than computing point estimates such as the maximum posterior using optimization methods, at the expense of usually requiring many…

Numerical Analysis · Mathematics 2024-11-28 Paolo Villani , Daniel Andrés-Arcones , Jörg F. Unger , Martin Weiser

We investigate the quality of structural models generated by the Reverse Monte Carlo (RMC) method in a typical application to amorphous systems. To this end we calculate surrogate diffraction data from a Li2O-SiO2 molecular dynamics (MD)…

Materials Science · Physics 2009-09-08 Christian R. Mueller , Vindu Kathriarachchi , Michael Schuch , Philipp Maass , Valeri Petkov

Optimal performance is critical for decision-making tasks from medicine to autonomous driving, however common performance measures may be too general or too specific. For binary classifiers, diagnostic tests or prognosis at a timepoint,…

Bayesian regression remains a simple but effective tool based on Bayesian inference techniques. For large-scale applications, with complicated posterior distributions, Markov Chain Monte Carlo methods are applied. To improve the well-known…

Computation · Statistics 2020-09-28 Joris Tavernier , Jaak Simm , Adam Arany , Karl Meerbergen , Yves Moreau

Reversible jump Markov chain Monte Carlo (RJMCMC) proposals that achieve reasonable acceptance rates and mixing are notoriously difficult to design in most applications. Inspired by recent advances in deep neural network-based normalizing…

Computation · Statistics 2023-02-28 Laurence Davies , Robert Salomone , Matthew Sutton , Christopher Drovandi

The paper presents an investigation of estimating treatment effect using different matching methods. The study proposed a new method which is computationally efficient and convenient in implication-'largest caliper matching' and compared…

Applications · Statistics 2018-06-07 Sharif Mahmood

In this paper, we develop a statistical methodology applied to the characterization of flowering curves using Gaussian mixture models. Our study relies on a set of rosebushes flowering data, and Gaussian mixture models are mainly used to…

Quantitative Methods · Quantitative Biology 2016-04-19 Frédéric Proïa , Alix Pernet , Tatiana Thouroude , Gilles Michel , Jérémy Clotault

We propose approaches for testing implementations of Markov Chain Monte Carlo methods as well as of general Monte Carlo methods. Based on statistical hypothesis tests, these approaches can be used in a unit testing framework to, for…

Methodology · Statistics 2021-09-21 Axel Gandy , James Scott

Area under the receiver operating characteristics curve (AUC) is an important metric for a wide range of signal processing and machine learning problems, and scalable methods for optimizing AUC have recently been proposed. However, handling…

Machine Learning · Computer Science 2018-06-01 San Gultekin , Avishek Saha , Adwait Ratnaparkhi , John Paisley

Background: Receiver Operating Characteristic (ROC) curves are widely used to evaluate the performance of Software Defect Prediction (SDP) models that estimate module fault-proneness, i.e., the probability that a module is faulty. A ROC…

Software Engineering · Computer Science 2026-04-23 Luigi Lavazza , Gabriele Rotoloni , Sandro Morasca

Making good predictions of a physical system using a computer code requires the inputs to be carefully specified. Some of these inputs called control variables have to reproduce physical conditions whereas other inputs, called parameters,…

Computation · Statistics 2018-04-04 Guillaume Damblin , Pierre Barbillon , Merlin Keller , Alberto Pasanisi , Eric Parent

Wireless communication plays a vital role in the promising performance of connected and automated vehicle (CAV) technology. This paper proposes a Vissim-based microscopic traffic simulation framework with an analytical dedicated short-range…

Signal Processing · Electrical Eng. & Systems 2019-07-26 Zijia Zhong , Joyoung Lee

The proper use of model evaluation metrics is important for model evaluation and model selection in binary classification tasks. This study investigates how consistent different metrics are at evaluating models across data of different…

Machine Learning · Statistics 2024-12-17 Jing Li

Gaussian process (GP) regression has been widely used in supervised machine learning due to its flexibility and inherent ability to describe uncertainty in function estimation. In the context of control, it is seeing increasing use for…

Systems and Control · Computer Science 2020-01-01 Lukas Hewing , Juraj Kabzan , Melanie N. Zeilinger

This work presents a technique for statistically modeling errors introduced by reduced-order models. The method employs Gaussian-process regression to construct a mapping from a small number of computationally inexpensive `error indicators'…

Numerical Analysis · Computer Science 2015-04-16 Martin Drohmann , Kevin Carlberg

We propose modeling absorption spectrum measurements as mixtures of Gaussian process experts. This enables us to construct a flexible statistical model for interpolating and extrapolating measurements, facilitating statistical integration…

Applications · Statistics 2026-03-30 Teemu Härkönen , Hui Chen , Erik Vartiainen

Heavy-tailed distributions are widely used in robust mixture modelling due to possessing thick tails. As a computationally tractable subclass of the stable distributions, sub-Gaussian $\alpha$-stable distribution received much interest in…

Machine Learning · Statistics 2017-01-25 Mahdi Teimouri , Saeid Rezakhah , Adel Mohammdpour

Mixture models provide a flexible representation of heterogeneity in a finite number of latent classes. From the Bayesian point of view, Markov Chain Monte Carlo methods provide a way to draw inferences from these models. In particular,…

Methodology · Statistics 2020-05-06 Carolina Valani Cavalcante , Kelly Cristina Mota Gonçalves

We propose to integrate weapon system features (such as weapon system manufacturer, deployment time and location, storage time and location, etc.) into a parameterized Cox-Weibull [1] reliability model via a neural network, like DeepSurv…

Applications · Statistics 2023-04-17 Michael Potter , Benny Cheng

Rotating modulation is a technique for indirect imaging in the hard x-ray and soft gamma-ray energy bands, which may offer an advantage over coded aperture imaging at high energies. A rotating modulator (RM) consists of a single mask of…

Instrumentation and Methods for Astrophysics · Physics 2011-04-15 Brent S. Budden , Mark R. Budden , Gary L. Case , Michael L. Cherry