Partitioning signal classes using transport transforms for data analysis and machine learning
type: Item
instance of: scholarly article
title: Partitioning signal classes using transport transforms for data analysis and machine learning
author: Shiying Li
author: Gustavo K. Rohde
author: Akram Aldroubi
published in: Sampling Theory, Signal Processing, and Data Analysis
publication date: 2021-12-14T00:00:00Z
full work available at URL: https://arxiv.org/abs/2008.03452
Mathematics Subject Classification ID: 68T01
Mathematics Subject Classification ID: 68T10
Mathematics Subject Classification ID: 68T45
zbMATH DE Number: 7444761
zbMATH Keywords: convexity
zbMATH Keywords: transport-transforms
zbMATH Keywords: convex groups
zbMATH Keywords: data analysis
zbMATH Keywords: classification
zbMATH Keywords: machine learning
MaRDI profile type: Publication
OpenAlex ID: W3162529631
cites work: Polar factorization and monotone rearrangement of vector‐valued functions
cites work: Support-vector networks
cites work: Optimal mass transport for registration and warping
cites work: Q5838558
cites work: The Radon Cumulative Distribution Transform and Its Application to Image Classification
cites work: A continuous linear optimal transport approach for pattern analysis in image datasets
cites work: Q3998435
cites work: The cumulative distribution transform and linear pattern classification
cites work: Parametric Signal Estimation Using the Cumulative Distribution Transform
cites work: The earth mover's distance as a metric for image retrieval
cites work: Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
cites work: Radon cumulative distribution transform subspace modeling for image classification
cites work: Q4805362
cites work: A linear optimal transportation framework for quantifying and visualizing variations in sets of images
DOI: 10.1007/S43670-021-00009-Z
Recommended article: A transportation \(L^p\) distance for signal analysis
Recommended article: Robust Multiple Signal Classification via Probability Measure Transformation
Recommended article: The signed cumulative distribution transform for 1-D signal analysis and classification
Recommended article: Container methods of clustering and classification of signals
Recommended article: Statistical models of reconstructed phase spaces for signal classification
description: scientific article; zbMATH DE number 7444761