Modeling Persistent Trends in Distributions.
Modeling Persistent Trends in Distributions.
复制标题
对分布的持续趋势进行建模。
DOI:
10.1080/01621459.2017.1341412
复制
发表时间:
2018
影响因子:
3.7
通讯作者:
Gifford,David
中科院分区:
文献类型:
--
作者:
Mueller,Jonas;Jaakkola,Tommi;Gifford,David
We present a nonparametric framework to model a short sequence of probability distributions that vary both due to underlying effects of sequential progression and confounding noise. To distinguish between these two types of variation and estimate the sequential-progression effects, our approach leverages an assumption that these effects follow a persistent trend. This work is motivated by the recent rise of single-cell RNA-sequencing experiments over a brief time course, which aim to identify genes relevant to the progression of a particular biological process across diverse cell populations. While classical statistical tools focus on scalar-response regression or order-agnostic differences between distributions, it is desirable in this setting to consider both the full distributions as well as the structure imposed by their ordering. We introduce a new regression model for ordinal covariates where responses are univariate distributions and the underlying relationship reflects consistent changes in the distributions over increasing levels of the covariate. This concept is formalized as atrendin distributions, which we define as an evolution that is linear under the Wasserstein metric. Implemented via a fast alternating projections algorithm, our method exhibits numerous strengths in simulations and analyses of single-cell gene expression data. Supplementary materials for this article are available online.
DOI:
--
发表时间:
1977
期刊:
Biochimica et Biophysica Acta
影响因子:
--
作者:
Robert J. Bowman;Robert J. Bowman;David G. Levitt
通讯作者:
David G. Levitt
DOI:
10.1016/0005-2736(86)90579-1
发表时间:
1986
期刊:
Biochimica et biophysica acta
影响因子:
--
作者:
Ginsburg,H;Kutner,S;Zangwil,M;Cabantchik,ZI
通讯作者:
Cabantchik,ZI
DOI:
10.1016/0005-2736(82)90178-x
发表时间:
1982-01-01
期刊:
BIOCHIMICA ET BIOPHYSICA ACTA
影响因子:
--
作者:
KUTNER, S;BARUCH, D;CABANTCHIK, ZI
通讯作者:
CABANTCHIK, ZI