Projection under pairwise distance control

Hiba Alawieh, Nicolas Wicker and Christophe Biernacki

Communications in Statistics - Theory and Methods, 2021, vol. 50, issue 24, 5692-5720

Abstract: Visualization of high dimensional and possibly complex data onto a low-dimensional space is often difficult. Several projection methods have been already proposed to display such high-dimensional structures on a lower-dimensional space, but the information lost is not always considered. Here, a new projection paradigm is presented to describe a non linear projection method that takes into account the projection quality of each projected point in the reduced space, this quality being directly available at the scale of this reduced space. More specifically, this novel method allows for a straightforward visualization of data in R2 with a simple reading of the approximation quality, and thus provides a novel variant of dimensionality reduction.

Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/03610926.2020.1741626 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:50:y:2021:i:24:p:5692-5720

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/lsta20

DOI: 10.1080/03610926.2020.1741626

Access Statistics for this article

Communications in Statistics - Theory and Methods is currently edited by Debbie Iscoe

More articles in Communications in Statistics - Theory and Methods from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().