Anna Konstorum

Research Data Scientist

Assessing tensor decomposition quality of immune profiling data from a dictionary learning perspective


Journal article


Anna Konstorum, Jian Xing, Shuchin Aeron, Misha Kilmer, Steven H. Kleinstein
bioRxiv, Cold Spring Harbor Laboratory, 2026


Cite

Cite

APA   Click to copy
Konstorum, A., Xing, J., Aeron, S., Kilmer, M., & Kleinstein, S. H. (2026). Assessing tensor decomposition quality of immune profiling data from a dictionary learning perspective. BioRxiv. https://doi.org/10.64898/2026.07.03.736447


Chicago/Turabian   Click to copy
Konstorum, Anna, Jian Xing, Shuchin Aeron, Misha Kilmer, and Steven H. Kleinstein. “Assessing Tensor Decomposition Quality of Immune Profiling Data from a Dictionary Learning Perspective.” bioRxiv (2026).


MLA   Click to copy
Konstorum, Anna, et al. “Assessing Tensor Decomposition Quality of Immune Profiling Data from a Dictionary Learning Perspective.” BioRxiv, Cold Spring Harbor Laboratory, 2026, doi:10.64898/2026.07.03.736447.


BibTeX   Click to copy

@article{konstorum2026a,
  title = {Assessing tensor decomposition quality of immune profiling data from a dictionary learning perspective},
  year = {2026},
  journal = {bioRxiv},
  publisher = {Cold Spring Harbor Laboratory},
  doi = {10.64898/2026.07.03.736447},
  author = {Konstorum, Anna and Xing, Jian and Aeron, Shuchin and Kilmer, Misha and Kleinstein, Steven H.}
}

Abstract

Systems-level immune profiling data arising from longitudinal studies of vaccination or infection has an inherent multi-index array structure. While tensor decomposition of such datasets has gained popularity, choosing a rank and trial for a decomposition is not straightforward. We show that taking into account the experimental data model can inspire the development of new metrics to assess the quality of a Non-negative CANDECOMP/PARAFAC (NCPD) decomposition, and can thus be used to choose a rank and trial for the decomposition. Moreover, we show how framing the results via a dictionary learning framework can better enable interpretation of the components of the decomposition.