[PDF][PDF] Logistic stick-breaking process.

L Ren, L Du, L Carin, DB Dunson - Journal of Machine Learning Research, 2011 - jmlr.org
A logistic stick-breaking process (LSBP) is proposed for non-parametric clustering of general
spatially-or temporally-dependent data, imposing the belief that proximate data are more …

Dependent multinomial models made easy: Stick-breaking with the Pólya-Gamma augmentation

S Linderman, MJ Johnson… - … information processing …, 2015 - proceedings.neurips.cc
… Here, we leverage a logistic stick-breaking representation and recent innovations in
Pólya-gamma augmentation to reformulate the multinomial distribution in terms of latent variables …

Kernel stick-breaking processes

DB Dunson, JH Park - Biometrika, 2008 - academic.oup.com
We propose a class of kernel stick-breaking processes for uncountable collections of dependent
random probability measures. The process is constructed by first introducing an infinite …

A stick-breaking likelihood for categorical data analysis with latent Gaussian models

M Khan, S Mohamed, B Marlin… - Artificial Intelligence …, 2012 - proceedings.mlr.press
stick-breaking likelihood function for categorical LGMs that exploits accurate linear and quadratic
bounds on the logistic log-… inference in multinomial Gaussian process classification and …

[PDF][PDF] Logit stick-breaking priors for Bayesian density regression

T Rigon, D Durante - arXiv preprint arXiv:1701.02969, 2017 - researchgate.net
stick-breaking construction via a continuation–ratio logistic regression, within an exponential
family representation. We study the theoretical properties, and leverage this result to derive …

Permuted and augmented stick-breaking Bayesian multinomial regression

Q Zhang, M Zhou - Journal of Machine Learning Research, 2018 - jmlr.org
… review multinomial logistic regression (MLR). We then use the stick-breaking construction
to … to transform binary logistic regression under stick breaking into multinomial regression. In …

Consistent model-based clustering using the Quasi-Bernoulli stick-breaking process

C Zeng, JW Miller, LL Duan - Journal of Machine Learning Research, 2023 - jmlr.org
… In the general form of the stick-breaking construction (… intuition, we introduce the following
stick-breaking process: … We now establish that the Bernoulli stick-breaking process mixture …

A tree perspective on stick-breaking models in covariate-dependent mixtures

A Horiguchi, C Chan, L Ma - Bayesian Analysis, 2024 - projecteuclid.org
Stick-breaking (SB) processes are often adopted in Bayesian mixture models for generating
mixing weights. When covariates influence the sizes of clusters, SB mixtures are particularly …

Generalized spatial stick-breaking processes

O Dahdouh, MJ Khaledi - Communications in Statistics-Simulation …, 2022 - Taylor & Francis
… of the stick-breaking processesprocess from the kernel stick-breaking processes (Reich
and Fuentes Citation2007; Fuentes and Reich Citation2013), the probit stick-breaking process (…

On the use of Markovian stick-breaking priors

W Lippitt, S Sethuraman - arXiv preprint arXiv:2108.10849, 2021 - arxiv.org
… The ‘Markovian stick-breakingprocess is then represented … ] that such Markovian stick-breaking
processes connect to the … of the Markovian stick-breaking process in Theorem 4. Then, …