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We describe a network clustering framework, based on finite mixture models, that can be applied to discrete-valued networks with hundreds of thousands of nodes and billions of edge variables. Relative to other recent model-based clustering…

Computation · Statistics 2020-03-13 Duy Q. Vu , David R. Hunter , Michael Schweinberger

We propose a new copula model that can be used with replicated spatial data. Unlike the multivariate normal copula, the proposed copula is based on the assumption that a common factor exists and affects the joint dependence of all…

Applications · Statistics 2016-12-08 Pavel Krupskii , Raphael Huser , Marc G. Genton

Use copula to model dependency of variable extends multivariate gaussian assumption. In this paper we first empirically studied copula regression model with continous response. Both simulation study and real data study are given. Secondly…

Methodology · Statistics 2021-01-05 Weijian Luo , Mai Wo

Finite mixture models are a useful statistical model class for clustering and density approximation. In the Bayesian framework finite mixture models require the specification of suitable priors in addition to the data model. These priors…

Methodology · Statistics 2024-07-09 Bettina Grün , Gertraud Malsiner-Walli

Regression models, where the response variable is circular, are common in areas such as biology, geology and meteorology. A typical model assumes that the conditional distribution of the response follows a von-Mises distribution. However,…

Methodology · Statistics 2026-01-12 Sphiwe B. Skhosana , Najmeh Nakhaei Rad

Copulas allow to learn marginal distributions separately from the multivariate dependence structure (copula) that links them together into a density function. Vine factorizations ease the learning of high-dimensional copulas by constructing…

Methodology · Statistics 2013-02-19 David Lopez-Paz , José Miguel Hernández-Lobato , Zoubin Ghahramani

Copulas provide a modular parameterization of multivariate distributions that decouples the modeling of marginals from the dependencies between them. Gaussian Mixture Copula Model (GMCM) is a highly flexible copula that can model many kinds…

Methodology · Statistics 2021-09-29 Siva Rajesh Kasa , Vaibhav Rajan

We propose a copula based method to handle missing values in multivariate data of mixed types in multilevel data sets. Building upon the extended rank likelihood of \cite{hoff2007extending} and the multinomial probit model, our model is a…

Methodology · Statistics 2017-02-28 Jiali Wang , Bronwyn Loong , Anton H. Westveld , Alan H. Welsh

Generative approaches to clustering provide information on geometric properties of clusters, whereas discriminative approaches provide boundaries between clusters. Ideas from both approaches are incorporated to present a fully unsupervised,…

Machine Learning · Statistics 2026-04-28 Mackenzie R. Neal , Paul D. McNicholas , Arthur White

In an age of increasingly large data sets, investigators in many different disciplines have turned to clustering as a tool for data analysis and exploration. Existing clustering methods, however, typically depend on several nontrivial…

Quantitative Methods · Quantitative Biology 2009-11-11 Noam Slonim , Gurinder Singh Atwal , Gasper Tkacik , William Bialek

We propose a generalisation of the logistic regression model, that aims to account for non-linear main effects and complex interactions, while keeping the model inherently explainable. This is obtained by starting with log-odds that are…

Methodology · Statistics 2024-10-14 Ingrid Hobæk Haff , Simon Boge Brant , Haakon Bakka

Model-based clustering approaches concern the paradigm of exploratory data analysis relying on the finite mixture model to automatically find a latent structure governing observed data. They are one of the most popular and successful…

Methodology · Statistics 2014-04-29 Faicel Chamroukhi

Regular vine sequences permit the organisation of variables in a random vector along a sequence of trees. Regular vine models have become greatly popular in dependence modelling as a way to combine arbitrary bivariate copulas into…

Methodology · Statistics 2024-06-28 Anna Kiriliouk , Jeongjin Lee , Johan Segers

In recent biomedical scientific problems, it is a fundamental issue to integratively cluster a set of objects from multiple sources of datasets. Such problems are mostly encountered in genomics, where data is collected from various sources,…

Growth mixture models are an important tool for detecting group structure in repeated measures data. Unlike traditional clustering methods, they explicitly model the repeat measurements on observations, and the statistical framework they…

Methodology · Statistics 2017-10-20 Abby Flynt , Nema Dean

We extend existing models in the financial literature by introducing a cluster-derived canonical vine (CDCV) copula model for capturing high dimensional dependence between financial time series. This model utilises a simplified…

Statistical Finance · Quantitative Finance 2014-11-19 David Walsh-Jones , Daniel Jones , Christoph Reisinger

A mixture of Gaussians fit to a single curved or heavy-tailed cluster will report that the data contains many clusters. To produce more appropriate clusterings, we introduce a model which warps a latent mixture of Gaussians to produce…

Machine Learning · Computer Science 2014-08-12 Tomoharu Iwata , David Duvenaud , Zoubin Ghahramani

A mixture of Gaussians fit to a single curved or heavy-tailed cluster will report that the data contains many clusters. To produce more appropriate clusterings, we introduce a model which warps a latent mixture of Gaussians to produce…

Machine Learning · Statistics 2013-03-25 Tomoharu Iwata , David Duvenaud , Zoubin Ghahramani

We propose a methodology to explore and measure the pairwise correlations that exist between variables in a dataset. The methodology leverages copulas for encoding dependence between two variables, state-of-the-art optimal transport for…

Machine Learning · Statistics 2016-11-01 Gautier Marti , Sebastien Andler , Frank Nielsen , Philippe Donnat

Despite the major progress of deep models as learning machines, uncertainty estimation remains a major challenge. Existing solutions rely on modified loss functions or architectural changes. We propose to compensate for the lack of built-in…

Machine Learning · Computer Science 2023-02-27 Nataša Tagasovska , Firat Ozdemir , Axel Brando