A Bayesian nonparametric approach to correct for underreporting in count data

S Arima, S Polettini, G Pasculli, L Gesualdo… - …, 2023 - academic.oup.com
We propose a nonparametric compound Poisson model for underreported count data that
introduces a latent clustering structure for the reporting probabilities. The latter are estimated …

The doubly correlated nonparametric topic model

D Kim, E Sudderth - Advances in Neural Information …, 2011 - proceedings.neurips.cc
Topic models are learned via a statistical model of variation within document collections, but
designed to extract meaningful semantic structure. Desirable traits include the ability to …

Softplus regressions and convex polytopes

M Zhou - arXiv preprint arXiv:1608.06383, 2016 - arxiv.org
To construct flexible nonlinear predictive distributions, the paper introduces a family of
softplus function based regression models that convolve, stack, or combine both operations …

Improved Bayesian ISAR imaging by learning the local structures of the target scene

L Sun, W Chen - IEEE Sensors Journal, 2019 - ieeexplore.ieee.org
In inverse synthetic aperture radar (ISAR) imaging, some weak scatterers might be missing
in the results obtained by conventional compressive sensing (CS)-based methods. This …

Stochastic geometry to generalize the Mondrian process

E O'Reilly, NM Tran - SIAM Journal on Mathematics of Data Science, 2022 - SIAM
The stable under iteration (STIT) tessellation process is a stochastic process that produces a
recursive partition of space with cut directions drawn independently from a distribution over …

Hierarchical Dirichlet scaling process

D Kim, A Oh - International Conference on Machine Learning, 2014 - proceedings.mlr.press
We present the hierarchical Dirichlet scaling process (HDSP), a Bayesian nonparametric
mixed membership model for multi-labeled data. We construct the HDSP based on the …

Spatially dependent mixture models via the logistic multivariate CAR prior

M Beraha, M Pegoraro, R Peli, A Guglielmi - Spatial Statistics, 2021 - Elsevier
We consider the problem of spatially dependent areal data, where for each area
independent observations are available, and propose to model the density of each area …

Spatially‐correlated time series clustering using location‐dependent Dirichlet process mixture model

J Jung, S Kim, H Kim - … Analysis and Data Mining: The ASA …, 2024 - Wiley Online Library
The Dirichlet process mixture (DPM) model has been widely used as a Bayesian
nonparametric model for clustering. However, the exchangeability assumption of the …

Mixing it up: Inflation at risk

M Schröder - arXiv preprint arXiv:2405.17237, 2024 - arxiv.org
Assessing the contribution of various risk factors to future inflation risks was crucial for
guiding monetary policy during the recent high inflation period. However, existing …

[HTML][HTML] Theory and computations for the Dirichlet process and related models: An overview

A Jara - International Journal of Approximate Reasoning, 2017 - Elsevier
Data analysis sometimes requires the relaxation of parametric assumptions in order to gain
modeling flexibility and robustness against mis-specification of the probability model. In the …