Conditional partial exchangeability: a probabilistic framework for multi-view clustering

B Franzolini, M De Iorio, J Eriksson - arXiv preprint arXiv:2307.01152, 2023 - arxiv.org
Standard clustering techniques assume a common configuration for all features in a dataset.
However, when dealing with multi-view or longitudinal data, the clusters' number …

Bayesian mixture models (in) consistency for the number of clusters

L Alamichel, D Bystrova, J Arbel… - … Journal of Statistics, 2024 - Wiley Online Library
Bayesian nonparametric mixture models are common for modeling complex data. While
these models are well‐suited for density estimation, recent results proved posterior …

Clustering species with residual covariance matrix in joint species distribution models

D Bystrova, G Poggiato, B Bektaş, J Arbel… - Frontiers in Ecology …, 2021 - frontiersin.org
Modeling species distributions over space and time is one of the major research topics in
both ecology and conservation biology. Joint Species Distribution models (JSDMs) have …

Inference for Bayesian nonparametric models with binary response data via permutation counting

D Christensen - Bayesian Analysis, 2024 - projecteuclid.org
Inference for Bayesian Nonparametric Models with Binary Response Data via Permutation
Counting Page 1 Bayesian Analysis (2024) 19, Number 1, pp. 293–318 Inference for Bayesian …

Normalized Random Meaures with Interacting Atoms for Bayesian Nonparametric Mixtures

M Beraha, R Argiento, F Camerlenghi… - arXiv preprint arXiv …, 2023 - arxiv.org
The study of almost surely discrete random probability measures is an active line of research
in Bayesian nonparametrics. The idea of assuming interaction across the atoms of the …

Independent finite approximations for Bayesian nonparametric inference

TD Nguyen, J Huggins, L Masoero, L Mackey… - Bayesian …, 2024 - projecteuclid.org
Independent Finite Approximations for Bayesian Nonparametric Inference Page 1 Bayesian
Analysis (2024) 19, Number 4, pp. 1187–1224 Independent Finite Approximations for …

Model-based clustering of time-dependent observations with common structural changes

R Corradin, L Danese, WR KhudaBukhsh… - arXiv preprint arXiv …, 2024 - arxiv.org
We propose a novel model-based clustering approach for samples of time series. We
assume as a unique commonality that two observations belong to the same group if …

Poisson Hierarchical Indian Buffet Processes for Within and Across Group Sharing of Latent Features-With Indications for Microbiome Species Sampling Models

LF James, J Lee, A Pandey - arXiv preprint arXiv:2502.01919, 2025 - arxiv.org
In this work, we present a comprehensive Bayesian posterior analysis of what we term
Poisson Hierarchical Indian Buffet Processes, designed for complex random sparse count …

A finite-infinite shared atoms nested model for the Bayesian analysis of large grouped data

L D'Angelo, F Denti - arXiv preprint arXiv:2406.13310, 2024 - arxiv.org
The use of hierarchical mixture priors with shared atoms has recently flourished in the
Bayesian literature for partially exchangeable data. Leveraging on nested levels of mixtures …

Approximating the clusters' prior distribution in Bayesian nonparametric models

D Bystrova, J Arbel, GKK King… - AABI 2020-3rd …, 2021 - inria.hal.science
In Bayesian nonparametrics, knowledge of the prior distribution induced on the number of
clusters is key for prior specification and calibration. However, evaluating this prior is …