Search Results for author: Christian Hennig

Found 7 papers, 0 papers with code

Biological species delimitation based on genetic and spatial dissimilarity: a comparative study

no code implementations22 Jan 2024 Gabriele d'Angella, Christian Hennig

The delimitation of biological species, i. e., deciding which individuals belong to the same species and whether and how many different species are represented in a data set, is key to the conservation of biodiversity.

Nonparametric consistency for maximum likelihood estimation and clustering based on mixtures of elliptically-symmetric distributions

no code implementations10 Nov 2023 Pietro Coretto, Christian Hennig

The consistency of the maximum likelihood estimator for mixtures of elliptically-symmetric distributions for estimating its population version is shown, where the underlying distribution $P$ is nonparametric and does not necessarily belong to the class of mixtures on which the estimator is based.

Some issues in robust clustering

no code implementations28 Aug 2023 Christian Hennig

Some key issues in robust clustering are discussed with focus on Gaussian mixture model based clustering, namely the formal definition of outliers, ambiguity between groups of outliers and clusters, the interaction between robust clustering and the estimation of the number of clusters, the essential dependence of (not only) robust clustering on tuning decisions, and shortcomings of existing measurements of cluster stability when it comes to outliers.

Clustering

Inference for the proportional odds cumulative logit model with monotonicity constraints for ordinal predictors and ordinal response

no code implementations11 Jul 2021 Javier Espinosa-Brito, Christian Hennig

It is shown that estimators defined by optimization, such as maximum likelihood estimators, for an unconstrained model and for parameters in the interior set of the parameter space of a constrained model are asymptotically equivalent.

Clustering with the Average Silhouette Width

no code implementations24 Oct 2019 Fatima Batool, Christian Hennig

The new methods prove useful and sensible in many cases, but some weaknesses are also highlighted.

Clustering

Distance for Functional Data Clustering Based on Smoothing Parameter Commutation

no code implementations10 Apr 2016 ShengLi Tzeng, Christian Hennig, Yu-Fen Li, Chien-Ju Lin

The intuitions are that smoothing parameters of smoothing splines reflect inverse signal-to-noise ratios and that applying an identical smoothing parameter the smoothed curves for two similar subjects are expected to be close.

Clustering Numerical Integration +1

Recovering the number of clusters in data sets with noise features using feature rescaling factors

no code implementations22 Feb 2016 Renato Cordeiro de Amorim, Christian Hennig

In this paper we introduce three methods for re-scaling data sets aiming at improving the likelihood of clustering validity indexes to return the true number of spherical Gaussian clusters with additional noise features.

Clustering

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