Manifold learning with iterative dimensionality photo-projection

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

In this work, we propose a new dimensionality reduction approach for generating low-dimensional embeddings of high-dimensional data based on an iterative procedure. The data set's dimensions are sorted depending on their variance. Starting with the highest variance, the dimensions are iteratively projected onto the embedding. The projection can be seen as taking a photo from a two-dimensional motive employing a depth effect. The approach is flexible and offers numerous extensions for future work. We introduce a basic variant and illustrate it working mechanisms with numerous visualizations. The approach is experimentally analyzed on a small set of benchmark problems. Exemplary embeddings and evaluations based on the Shepard-Kruskal measure and the co-ranking matrix complement the analysis. The new approach shows competitive results in comparison to well-established dimensionality reduction methods.

Original languageEnglish
Title of host publication2017 International Joint Conference on Neural Networks, IJCNN 2017 - Proceedings
Number of pages7
PublisherInstitute of Electrical and Electronics Engineers Inc.
Publication date30 Jun 2017
Pages2555-2561
Article number7966167
ISBN (Electronic)9781509061815
DOIs
Publication statusPublished - 30 Jun 2017
Externally publishedYes
Event2017 International Joint Conference on Neural Networks, IJCNN 2017 - Anchorage, United States
Duration: 14 May 201719 May 2017

Conference

Conference2017 International Joint Conference on Neural Networks, IJCNN 2017
LandUnited States
ByAnchorage
Periode14/05/201719/05/2017
SponsorBrain-Mind Institute (BMI), Budapest Semester in Cognitive Science (BSCS), Intel

ID: 223196256