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Nested Sampling is a method for computing the Bayesian evidence, also called the marginal likelihood, which is the integral of the likelihood with respect to the prior. More generally, it is a numerical probabilistic quadrature rule. The…

Computation · Statistics 2023-10-09 Jonas Latz , Doris Schneider , Philipp Wacker

We introduce a new approach for comparing the predictive accuracy of two nested models that bypasses the difficulties caused by the degeneracy of the asymptotic variance of forecast error loss differentials used in the construction of…

Econometrics · Economics 2023-10-17 Jean-Yves Pitarakis

Efficient motion planning algorithms are essential in robotics. Optimizing essential parameters, such as batch size and nearest neighbor selection in sampling-based methods, can enhance performance in the planning process. However, existing…

Robotics · Computer Science 2025-08-29 Liding Zhang , Qiyang Zong , Yu Zhang , Zhenshan Bing , Alois Knoll

Nested error regression models are useful tools for analysis of grouped data, especially in the case of small area estimation. This paper suggests a nested error regression model using uncertain random effects in which the random effect in…

Methodology · Statistics 2017-02-28 Shonosuke Sugasawa , Tatsuya Kubokawa

This paper considers the problem of model selection within the context of finite element model updating. Given that a number of FEM updating models, with different updating parameters, can be designed, this paper proposes using the Bayesian…

Computation · Statistics 2008-10-16 Linda Mthembu , Tshilidzi Marwala , Michael I. Friswell , Sondipon Adhikari

The Bayesian approach to data analysis provides a powerful way to handle uncertainty in all observations, model parameters, and model structure using probability theory. Probabilistic programming languages make it easier to specify and fit…

Seamless situational awareness provided by modern radar systems relies on effective methods for multiobject tracking (MOT). This paper presents a graph-based Bayesian method for nonlinear and high-dimensional MOT problems that embeds…

Signal Processing · Electrical Eng. & Systems 2021-03-17 Wenyu Zhang , Florian Meyer

Bayesian model selection provides a powerful framework for objectively comparing models directly from observed data, without reference to ground truth data. However, Bayesian model selection requires the computation of the marginal…

Methodology · Statistics 2024-01-17 Xiaohao Cai , Jason D. McEwen , Marcelo Pereyra

This article aims to explain the Nested Benders algorithm for the solution of large-scale stochastic programming problems in a way that is intelligible to someone coming to it for the first time. In doing so it gives an explanation of…

Optimization and Control · Mathematics 2013-12-13 James Murphy

Bayesian networks are graphical models to represent the probabilistic relationships between variables in the Bayesian framework. The knowledge of all variables can be updated using new information about some of the variables. We show that…

Data Analysis, Statistics and Probability · Physics 2021-10-22 Georg Schnabel , Roberto Capote , Arjan Koning , David Brown

High-throughput material screening for the discovery and design of novel functional materials requires automatized analyses of theoretical and experimental data. Here we study the subject of human-free analyses of one-dimensional…

Materials Science · Physics 2022-01-13 Seong-Heum Park , Hyeong Seon Park , Hyunbok Lee , Heung-Sik Kim

Nested sampling (NS) is a stochastic method for computing the log-evidence of a Bayesian problem. It relies on stochastic estimates of prior volumes enclosed by likelihood contours, which limits the accuracy of the log-evidence calculation.…

Computational Physics · Physics 2024-11-27 Margret Westerkamp , Jakob Roth , Philipp Frank , Will Handley , Torsten Enßlin

Mass spectrometry provides a high-throughput way to identify proteins in biological samples. In a typical experiment, proteins in a sample are first broken into their constituent peptides. The resulting mixture of peptides is then subjected…

Applications · Statistics 2010-11-10 Qunhua Li , Michael J. MacCoss , Matthew Stephens

In this report, we describe our participant named-entity recognition system at VLSP 2018 evaluation campaign. We formalized the task as a sequence labeling problem using BIO encoding scheme. We applied a feature-based model which combines…

Computation and Language · Computer Science 2018-03-23 Pham Quang Nhat Minh

Statistical learning additions to physically derived mathematical models are gaining traction in the literature. A recent approach has been to augment the underlying physics of the governing equations with data driven Bayesian statistical…

Methodology · Statistics 2022-05-25 Connor Duffin , Edward Cripps , Thomas Stemler , Mark Girolami

We study the estimation of a planted signal hidden in a recently introduced nested matrix-tensor model, which is an extension of the classical spiked rank-one tensor model, motivated by multi-view clustering. Prior work has theoretically…

Machine Learning · Statistics 2024-02-19 Hugo Lebeau , Mohamed El Amine Seddik , José Henrique de Morais Goulart

We study active structure learning of Bayesian networks in an observational setting, in which there are external limitations on the number of variable values that can be observed from the same sample. Random samples are drawn from the joint…

Machine Learning · Computer Science 2022-08-23 Noa Ben-David , Sivan Sabato

The problem of merging databases arises in many government and commercial applications. Schema matching, a common first step, identifies equivalent fields between databases. We introduce a schema matching framework that builds nonparametric…

Information Retrieval · Computer Science 2015-07-07 Erik M. Ferragut , Jason Laska

Many scientific and engineering applications require fitting regression models that are nonlinear in the parameters. Advances in computer hardware and software in recent decades have made it easier to fit such models. Relative to fitting…

Methodology · Statistics 2024-03-20 Peng Liu , William Q. Meeker

Database alignment is a variant of the graph alignment problem: Given a pair of anonymized databases containing separate yet correlated features for a set of users, the problem is to identify the correspondence between the features and…

Information Theory · Computer Science 2023-07-06 Osman Emre Dai , Daniel Cullina , Negar Kiyavash