Fidelity-Commensurability Tradeoff in Joint Embedding of Disparate Dissimilarities

Sancar Adali () and Carey E. Priebe
Additional contact information
Sancar Adali: Johns Hopkins University
Carey E. Priebe: Johns Hopkins University

Journal of Classification, 2016, vol. 33, issue 3, No 7, 485-506

Abstract: Abstract In various data settings, it is necessary to compare observations from disparate data sources. We assume the data is in the dissimilarity representation (Pękalska and Duin, 2005) and investigate a joint embedding method (Priebe et al., 2013) that results in a commensurate representation of disparate dissimilarities. We further assume that there are “matched” observations from different conditions which can be considered to be highly similar, for the sake of inference. The joint embedding results in the joint optimization of fidelity (preservation of within-condition dissimilarities) and commensurability (preservation of between-condition dissimilarities between matched observations). We show that the tradeoff between these two criteria can be made explicit using weighted raw stress as the objective function for multidimensional scaling. In our investigations, we use a weight parameter, w, to control the tradeoff, and choose match detection as the inference task. Our results show weights that are optimal (with respect to the inference task) are different than equal weights for commensurability and fidelity and the proposed weighted embedding scheme provides significant improvements in statistical power.

Keywords: Multidimensional scaling; Embedding of dissimilarities; Multimodal data fusion; Joint embedding; Inference. (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s00357-016-9214-6 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:spr:jclass:v:33:y:2016:i:3:d:10.1007_s00357-016-9214-6

Ordering information: This journal article can be ordered from
http://www.springer. ... hods/journal/357/PS2

DOI: 10.1007/s00357-016-9214-6

Access Statistics for this article

Journal of Classification is currently edited by Douglas Steinley

More articles in Journal of Classification from Springer, The Classification Society
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().