Shape modeling with spline partitions

doi:10.1007/s11222-022-10170-7

	Shape modeling with spline partitions
	Ge, Shufei1 ; Wang, Shijia 2; Elliott, Lloyd 3
	2023-02-01
发表期刊	STATISTICS AND COMPUTING
ISSN	0960-3174
EISSN	1573-1375
卷号	33 期号:1
发表状态	已发表
DOI	10.1007/s11222-022-10170-7
摘要	Shape modelling (with methods that output shapes) is a new and important task in Bayesian nonparametrics and bioinformatics. In this work, we focus on Bayesian nonparametric methods for capturing shapes by partitioning a space using curves. In related work, the classical Mondrian process is used to partition spaces recursively with axis-aligned cuts, and is widely lied in multi-dimensional and relational data. The Mondrian process outputs hyper-rectangles. Recently, the random tessellation process was introduced as a generalization of the Mondrian process, partitioning a domain with non-axis aligned cuts in an arbitrary dimensional space, and outputting polytopes. Motivated by these processes, in this work, we propose a novel parallelized Bayesian nonparametric approach to partition a domain with curves, enabling complex data-shapes to be acquired. We apply our method to HIV-1-infected human macrophage image dataset, and also simulated datasets sets to illustrate our approach. We compare to support vector machines, random forests and state-of-the-art computer vision methods such as simple linear iterative clustering super pixel image segmentation. We develop an R package that is available at https://github.com/ShufeiGe/Shape-Modeling-with-Spline-Partitions.
关键词	Bayesian nonparametrics Bézier curve Infinite relational model Mondrian process
URL	查看原文
收录类别	SCOPUS
语种	英语
Scopus 记录号	2-s2.0-85143310694
来源库	Scopus
文献类型	期刊论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/258953
专题	数学科学研究所_PI研究组(P)_葛淑菲组
通讯作者	Elliott, Lloyd
作者单位	1.Institute of Mathematical Sciences,ShanghaiTech University,Shanghai,China 2.School of Statistics and Data Science,LPMC and KLMDASR,Nankai University,Tianjin,China 3.Department of Statistics and Actuarial Science,Simon Fraser University,Burnaby,Canada
第一作者单位	数学科学研究所
第一作者的第一单位	数学科学研究所
推荐引用方式 GB/T 7714	Ge, Shufei,Wang, Shijia,Elliott, Lloyd. Shape modeling with spline partitions[J]. STATISTICS AND COMPUTING,2023,33(1).
APA	Ge, Shufei,Wang, Shijia,&Elliott, Lloyd.(2023).Shape modeling with spline partitions.STATISTICS AND COMPUTING,33(1).
MLA	Ge, Shufei,et al."Shape modeling with spline partitions".STATISTICS AND COMPUTING 33.1(2023).