Convergence rates of a class of multivariate density estimation methods based on adaptive partitioning

L Liu, D Li, WH Wong - Journal of machine learning research, 2023 - jmlr.org
Density estimation is a building block for many other statistical methods, such as
classification, nonparametric testing, and data compression. In this paper, we focus on a non …

Optional Pólya trees: Posterior rates and uncertainty quantification

I Castillo, T Randrianarisoa - Electronic Journal of Statistics, 2022 - projecteuclid.org
We consider statistical inference in the density estimation model using a tree–based
Bayesian approach, with Optional Pólya trees as prior distribution. We derive near-optimal …

Density estimation with distribution element trees

DW Meyer - Statistics and Computing, 2018 - Springer
The estimation of probability densities based on available data is a central task in many
statistical applications. Especially in the case of large ensembles with many samples or high …

Scalable multi-sample single-cell data analysis by partition-assisted clustering and multiple alignments of networks

YH Li, D Li, N Samusik, X Wang, L Guan… - PLoS Computational …, 2017 - journals.plos.org
Mass cytometry (CyTOF) has greatly expanded the capability of cytometry. It is now easy to
generate multiple CyTOF samples in a single study, with each sample containing single-cell …

Multivariate density estimation via adaptive partitioning (I): sieve MLE

L Liu, WH Wong - arxiv preprint arxiv:1401.2597, 2014 - arxiv.org
We study a non-parametric approach to multivariate density estimation. The estimators are
piecewise constant density functions supported by binary partitions. The partition of the …

The estimation of probability distribution for factor variables with many categorical values

M Lee, YS Kang, J Seok - PloS one, 2018 - journals.plos.org
With recent developments of data technology in biomedicine, factor data such as diagnosis
codes and genomic features, which can have tens to hundreds of discrete and unorderable …

(Un) conditional sample generation based on distribution element trees

DW Meyer - Journal of Computational and Graphical Statistics, 2018 - Taylor & Francis
Recently, distribution element trees (DETs) were introduced as an accurate and
computationally efficient method for density estimation. In this work, we demonstrate that the …

Contributions to the theoretical analysis of statistical learning and uncertainty quantification methods

T Randrianarisoa - 2022 - theses.hal.science
Modern data analysis provides scientists with statistical and machine learning algorithms
with impressive performance. In front of their extensive use to tackle problems of constantly …

Adaptive Efficient Histograms

X Gu - kilthub.cmu.edu
Nonparametric density estimation is a fundamental task in statistics. In many applications,
such as clustering, non-parametric testing, classi? cation, anomaly detection and topological …

[Књига][B] Convergence Rates of a Class of Multivariate Density Estimators Based on Adaptive Partitioning

L Liu - 2016 - search.proquest.com
Density estimation is a fundamental problem in statistics. It is a building block for other
statistical methods, such as classification, nonparametric testing, and data compression. In …