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Learning covariate relations in disease progression models using symbolic neural networks

Sundell, Jesper LU ; Wahlquist, Ylva LU ; Kjellsson, Maria ; Karlsson, Mats and Soltesz, Kristian LU orcid (2026) In CPT: Pharmacometrics and Systems Pharmacology 15(3).
Abstract
Covariate modeling provides individual predictions of outcomes by disease progression models. Current methodology for mapping covariates onto model parameters is limited by predefined parametric functions which can result in inadequate covariate selection and biased predictions by the final model. Furthermore, present methodology scales poorly to high-dimensional data due to combinatorial limitations. In the present study, a novel method for automation of covariate model identification in disease progression models is described. Symbolic neural networks are used to simultaneously identify the parametric covariate functions and optimize model parameters of a Markov chain. By stepwise pruning of initially fully connected dense symbolic... (More)
Covariate modeling provides individual predictions of outcomes by disease progression models. Current methodology for mapping covariates onto model parameters is limited by predefined parametric functions which can result in inadequate covariate selection and biased predictions by the final model. Furthermore, present methodology scales poorly to high-dimensional data due to combinatorial limitations. In the present study, a novel method for automation of covariate model identification in disease progression models is described. Symbolic neural networks are used to simultaneously identify the parametric covariate functions and optimize model parameters of a Markov chain. By stepwise pruning of initially fully connected dense symbolic networks, humanly readable functions representing the covariate relations are produced. The presented methodology is applied to a dataset containing disease progression observations for type 2 diabetes patients. Although utilizing fewer covariates, the resulting model demonstrates predictive performance similar to that of a model which was developed on the same data using state-of-the-art modeling methodology. (Less)
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author
; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
CPT: Pharmacometrics and Systems Pharmacology
volume
15
issue
3
pages
9 pages
publisher
American Society for Clinical Pharmacology and Therapeutics
external identifiers
  • scopus:105032238687
  • pmid:41806166
ISSN
2163-8306
DOI
10.1002/psp4.70214
project
Learning pharmacometric model structures from data
language
English
LU publication?
yes
id
8586624a-b90c-475c-ab0e-ea16e9dd9a22
date added to LUP
2026-02-03 07:05:39
date last changed
2026-05-22 03:00:07
@article{8586624a-b90c-475c-ab0e-ea16e9dd9a22,
  abstract     = {{Covariate modeling provides individual predictions of outcomes by disease progression models. Current methodology for mapping covariates onto model parameters is limited by predefined parametric functions which can result in inadequate covariate selection and biased predictions by the final model. Furthermore, present methodology scales poorly to high-dimensional data due to combinatorial limitations. In the present study, a novel method for automation of covariate model identification in disease progression models is described. Symbolic neural networks are used to simultaneously identify the parametric covariate functions and optimize model parameters of a Markov chain. By stepwise pruning of initially fully connected dense symbolic networks, humanly readable functions representing the covariate relations are produced. The presented methodology is applied to a dataset containing disease progression observations for type 2 diabetes patients. Although utilizing fewer covariates, the resulting model demonstrates predictive performance similar to that of a model which was developed on the same data using state-of-the-art modeling methodology.}},
  author       = {{Sundell, Jesper and Wahlquist, Ylva and Kjellsson, Maria and Karlsson, Mats and Soltesz, Kristian}},
  issn         = {{2163-8306}},
  language     = {{eng}},
  number       = {{3}},
  publisher    = {{American Society for Clinical Pharmacology and Therapeutics}},
  series       = {{CPT: Pharmacometrics and Systems Pharmacology}},
  title        = {{Learning covariate relations in disease progression models using symbolic neural networks}},
  url          = {{http://dx.doi.org/10.1002/psp4.70214}},
  doi          = {{10.1002/psp4.70214}},
  volume       = {{15}},
  year         = {{2026}},
}