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We present an approach to model-based hierarchical clustering by formulating an objective function based on a Bayesian analysis. This model organizes the data into a cluster hierarchy while specifying a complex feature-set partitioning that…

机器学习 · 计算机科学 2013-01-18 Shivakumar Vaithyanathan , Byron E Dom

We present clustering methods for multivariate data exploiting the underlying geometry of the graphical structure between variables. As opposed to standard approaches that assume known graph structures, we first estimate the edge structure…

统计方法学 · 统计学 2015-09-28 Sayantan Banerjee , Rehan Akbani , Veerabhadran Baladandayuthapani

Hierarchical models are increasingly used in many applications. Along with this increased use comes a desire to investigate whether the model is compatible with the observed data. Bayesian methods are well suited to eliminate the many…

统计方法学 · 统计学 2008-02-08 M. J. Bayarri , M. E. Castellanos

An important task for any large-scale organization is to prepare forecasts of key performance metrics. Often these organizations are structured in a hierarchical manner and for operational reasons, projections of these metrics may have been…

应用统计 · 统计学 2017-11-15 Julie Novak , Scott McGarvie , Beatriz Etchegaray Garcia

The adaptive processing of structured data is a long-standing research topic in machine learning that investigates how to automatically learn a mapping from a structured input to outputs of various nature. Recently, there has been an…

机器学习 · 计算机科学 2022-02-28 Federico Errica

We develop a computational framework to quantify uncertainty in shear elastography imaging of anomalies in tissues. We adopt a Bayesian inference formulation. Given the observed data, a forward model and their uncertainties, we find the…

数值分析 · 数学 2023-06-07 Ana Carpio , Elena Cebrian , Andrea Gutierrez

In many inverse problems, model parameters cannot be precisely determined from observational data. Bayesian inference provides a mechanism for capturing the resulting parameter uncertainty, but typically at a high computational cost. This…

统计计算 · 统计学 2019-03-28 Matthew Parno , Tarek Moselhy , Youssef Marzouk

We propose an unsupervised approach for linking records across arbitrarily many files, while simultaneously detecting duplicate records within files. Our key innovation involves the representation of the pattern of links between records as…

统计方法学 · 统计学 2015-11-03 Rebecca C. Steorts , Rob Hall , Stephen E. Fienberg

Model-based diagnosis reasons backwards from a functional schematic of a system to isolate faults given observations of anomalous behavior. We develop a fully probabilistic approach to model based diagnosis and extend it to support…

人工智能 · 计算机科学 2013-02-28 Sampath Srinivas

Alignment of curve data is an integral part of their statistical analysis, and can be achieved using model- or optimization-based approaches. The parameter space is usually the set of monotone, continuous warp maps of a domain.…

统计理论 · 数学 2019-02-05 Karthik Bharath , Sebastian Kurtek

Statistical shape analysis is a very useful tool in a wide range of medical and biological applications. However, it typically relies on the ability to produce a relatively small number of features that can capture the relevant variability…

计算机视觉与模式识别 · 计算机科学 2020-06-16 Riddhish Bhalodia , Ladislav Kavan , Ross Whitaker

Shape modelling (with methods that output shapes) is a new and important task in Bayesian nonparametrics and bioinformatics. In this work, we focus on Bayesian nonparametric methods for capturing shapes by partitioning a space using curves.…

机器学习 · 统计学 2022-11-08 Shufei Ge , Shijia Wang , Lloyd Elliott

A wide range of Bayesian models have been proposed for data that is divided hierarchically into groups. These models aim to cluster the data at different levels of grouping, by assigning a mixture component to each datapoint, and a mixture…

机器学习 · 计算机科学 2015-04-21 Adway Mitra

In this work we analyse a number of variants of the Wasserstein distance which allow to focus the classification on the prescribed parts (fragments) of classified 2D curves. These variants are based on the use of a number of discrete…

计算机视觉与模式识别 · 计算机科学 2026-01-13 Agnieszka Kaliszewska , Monika Syga

We consider the problem of landmark matching between two unlabelled point sets, in particular where the number of points in each cloud may differ, and where points in each cloud may not have a corresponding match. We invoke a Bayesian…

统计方法学 · 统计学 2022-06-01 Jessica E. Forsyth , Ali H. Al-Anbaki , Berenika Plusa , Simon L. Cotter

In many biomedical applications with high-dimensional features, such as single-cell RNA-sequencing, it is not uncommon to observe numerous structural zeros. Identifying important features from a pool of high-dimensional data for subsequent…

应用统计 · 统计学 2025-03-19 A. Lawrence Gould , Erina Paul , Piyali Basak , Arinjita Bhattacharyya , Himel Mallick

Graphical models are commonly used to discover associations within gene or protein networks for complex diseases such as cancer. Most existing methods estimate a single graph for a population, while in many cases, researchers are interested…

We propose a novel unsupervised approach for linking records across arbitrarily many files, while simultaneously detecting duplicate records within files. Our key innovation is to represent the pattern of links between records as a {\em…

统计计算 · 统计学 2014-03-04 Rebecca C. Steorts , Rob Hall , Stephen E. Fienberg

Full Bayesian computational inference for model determination in undirected graphical models is currently restricted to decomposable graphs, except for problems of very small scale. In this paper we develop new, more efficient methodology…

统计计算 · 统计学 2012-06-05 Peter J. Green , Alun Thomas

We present a framework for shape matching in computational anatomy allowing users control of the degree to which the matching is diffeomorphic. This control is given as a function defined over the image and parameterises the template…

图像与视频处理 · 电气工程与系统科学 2019-05-23 Andreas Bock , Alexis Arnaudon , Colin Cotter