Review of clustering methods for functional data

M Zhang, A Parnell - ACM Transactions on Knowledge Discovery from …, 2023 - dl.acm.org
Functional data clustering is to identify heterogeneous morphological patterns in the
continuous functions underlying the discrete measurements/observations. Application of …

Convergence of latent mixing measures in finite and infinite mixture models

XL Nguyen - 2013 - projecteuclid.org
This paper studies convergence behavior of latent mixing measures that arise in finite and
infinite mixture models, using transportation distances (ie, Wasserstein metrics). The …

Distribution theory for hierarchical processes

F Camerlenghi, A Lijoi, P Orbanz, I Prünster - 2019 - projecteuclid.org
Distribution theory for hierarchical processes Page 1 The Annals of Statistics 2019, Vol. 47, No.
1, 67–92 https://doi.org/10.1214/17-AOS1678 © Institute of Mathematical Statistics, 2019 …

Scalable inference of topic evolution via models for latent geometric structures

M Yurochkin, Z Fan, A Guha… - Advances in neural …, 2019 - proceedings.neurips.cc
We develop new models and algorithms for learning the temporal dynamics of the topic
polytopes and related geometric objects that arise in topic model based inference. Our …

On the inferential implications of decreasing weight structures in mixture models

P De Blasi, AF Martínez, RH Mena, I Prünster - Computational Statistics & …, 2020 - Elsevier
Bayesian estimation of nonparametric mixture models strongly relies on available
representations of discrete random probability measures. In particular, the order of the …

Bayesian nonparametric modeling for functional analysis of variance

XL Nguyen, AE Gelfand - Annals of the Institute of Statistical Mathematics, 2014 - Springer
Abstract Analysis of variance is a standard statistical modeling approach for comparing
populations. The functional analysis setting envisions that mean functions are associated …

[图书][B] Conditionally dependent Dirichlet processes for modelling naturally correlated data sources

We introduce a new class of conditionally dependent Dirichlet processes (CDP) for
hierarchical mixture modelling of naturally correlated data sources. This class of models …

Bayesian Semiparametric Hidden Markov Tensor Models for Time Varying Random Partitions with Local Variable Selection

G Paulon, P Müller, A Sarkar - Bayesian Analysis, 2023 - projecteuclid.org
We present a flexible Bayesian semiparametric mixed model for longitudinal data analysis in
the presence of potentially high-dimensional categorical covariates. Building on a novel …

[PDF][PDF] Wasserstein distances for discrete measures and convergence in nonparametric mixture models

X Nguyen - Citeseer. Forschungsbericht, 2011 - dept.stat.lsa.umich.edu
We consider Wasserstein distance functionals for comparing between and assessing the
convergence of latent discrete measures, which serve as mixing distributions in hierarchical …

Bayesian partition models for local inference in longitudinal and survival data

G Paulon - 2021 - repositories.lib.utexas.edu
This dissertation proposes novel Bayesian semiparametric and nonparametric methods for
complex, large and potentially high-dimensional longitudinal and survival data. The first part …