Skip to content
DraconiticResearch
Search Sources API
190,839 studies31 sourcesUpdated 10 min ago
PreprintCC BY 4.0arXiv

FluxDisco: Symbolic Regression for Stoichiometric Dynamical Systems via Monte Carlo Graph Search

Abstract

Dynamical symbolic regression methods identify governing differential equations from noisy data, balancing interpretability and predictive accuracy. However, standard methods often produce expressions that violate known physical laws. To address this, we propose FluxDisco, a physics-informed framework tailored for flux-based, stoichiometric ODE systems. By leveraging a known stoichiometry, we reduce the expression search space and ensure physical adherence. Our framework adapts the Monte Carlo Graph Search algorithm for the unique challenges associated with joint flux discovery of stoichiometric systems. We evaluate our method across a range of physical and biological systems, demonstrating its ability to accurately recover governing dynamics through interpretable equations.

Related

  1. New Symbolic Procedures in the Study of Dynamical Systems
    Daniel Condurache
    arXivPreprintarXiv licenceFull textAlgebra & number theoryDynamical systemsarXiv
  2. Learning Closure of Dynamical Systems with Kernel Ridge Regression
    Evan Habbershaw, John Harlim, Senwei Liang
    arXivPreprintCC BY 4.0Full textDynamical systemsNumerical analysis & scientific computingarXiv
  3. Equation discovery for climate impact: emulating impact models for unexplored climate scenario with interpretable symbolic regression
    Erwan Le Roux, Pierre Tandeo, Carlos Granero Belinchon +6
    HALPreprintCC BY 4.0Full textOceanography & cryosphereStatisticsHAL
  4. An Efficient Symbolic Algorithm for Computing Lyapunov Constants in Planar Switching Systems
    Cheng Zheng, Laigang Guo, Xiangyu Wang
    arXivPreprintCC BY 4.0Full textDynamical systemsarXiv
  5. Symbolic Direct Construction of Augmented Systems for Levenberg-Marquardt Power Flow
    Tianshi Cheng, Venkata Dinavahi
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
BibTeX
@misc{durr2026fluxdisco,
  title = {{FluxDisco: Symbolic Regression for Stoichiometric Dynamical Systems via Monte Carlo Graph Search}},
  author = {Cassandra Durr and Alvaro Köhn-Luque and Chris Jewell and Lloyd A. C. Chapman},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.05207},
  eprint = {2609.05207},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.05207},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - FluxDisco: Symbolic Regression for Stoichiometric Dynamical Systems via Monte Carlo Graph Search
AU  - Cassandra Durr
AU  - Alvaro Köhn-Luque
AU  - Chris Jewell
AU  - Lloyd A. C. Chapman
PY  - 2026
DA  - 2026/09/04
PB  - arXiv
DO  - 10.48550/arxiv.2609.05207
UR  - https://arxiv.org/abs/2609.05207
AB  - Dynamical symbolic regression methods identify governing differential equations from noisy data, balancing interpretability and predictive accuracy. However, standard methods often produce expressions that violate known physical laws. To address this, we propose FluxDisco, a physics-informed framework tailored for flux-based, stoichiometric ODE systems. By leveraging a known stoichiometry, we reduce the expression search space and ensure physical adherence. Our framework adapts the Monte Carlo Graph Search algorithm for the unique challenges associated with joint flux discovery of stoichiometric systems. We evaluate our method across a range of physical and biological systems, demonstrating its ability to accurately recover governing dynamics through interpretable equations.
ER  -