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Convergence rates of a class of multivariate density estimation methods based on adaptive partitioning
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 …
classification, nonparametric testing, and data compression. In this paper, we focus on a non …
Optional Pólya trees: Posterior rates and uncertainty quantification
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 …
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 …
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
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 …
generate multiple CyTOF samples in a single study, with each sample containing single-cell …
Multivariate density estimation via adaptive partitioning (I): sieve MLE
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 …
piecewise constant density functions supported by binary partitions. The partition of the …
The estimation of probability distribution for factor variables with many categorical values
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 …
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 …
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 …
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 …
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 …
statistical methods, such as classification, nonparametric testing, and data compression. In …