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Synergizing Physically Constrained MCMC and Chemical-Informed Gaussian Processes for Reaction Network Discovery

Summary

A gray-box workflow, PC-MCMC-CIGP, integrates spike-and-slab topology sampling, hard conservation and thermodynamic screening, and a Chemical-Informed Gaussian Process (CIGP) residual model for extracting interpretable governing equations from sparse noisy chemical time-series data. On the H2+Br2 benchmark, it distinguishes elementary radical pathways; on styrene epoxidation, it improves yield by 12.5% over the baseline. A 10-seed acquisition study reveals trade-offs: PC-EI reduces low-yield BO suggestions, while EI-style criteria yield the strongest final performance.

SourcearXiv Machine LearningAuthor: Runzhe Liu, Zihao Wang, Wenbo Yang, Shengyang Tao
Synergizing Physically Constrained MCMC and Chemical-Informed Gaussian Processes for Reaction Network Discovery
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[2606.23757] Synergizing Physically Constrained MCMC and Chemical-Informed Gaussian Processes for Reaction Network Discovery

[Submitted on 22 Jun 2026]

Title:Synergizing Physically Constrained MCMC and Chemical-Informed Gaussian Processes for Reaction Network Discovery

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Abstract:Extracting interpretable governing equations from sparse, noisy chemical time-series data remains difficult because discrete reaction topology and continuous kinetic parameters are tightly coupled. We present PC-MCMC-CIGP, a reproducible gray-box workflow that combines spike-and-slab topology sampling, hard conservation and thermodynamic screening, and a Chemical-Informed Gaussian Process (CIGP) residual model for parameter calibration and experimental design. The methodological contribution is not a new MCMC or GP family in isolation; rather, it is the integration of these components into a physically constrained workflow with explicit uncertainty-aware acquisition choices. On the H2 + Br2 benchmark, the constrained sampler distinguishes elementary radical pathways from deceptive phenomenological fits in our experiments. On styrene epoxidation, the CIGP optimization loop improves final yield by 12.5% over the reported GP-BO baseline. A new 10-seed acquisition study shows that EI, GWU, PC-EI, uncertainty sampling, discrepancy hunting, and random search have different trade-offs: PC-EI substantially reduces low-yield BO suggestions, while EI-style criteria give the strongest final-yield performance.

Subjects:

Machine Learning (cs.LG); Artificial Intelligence (cs.AI)

Cite as: arXiv:2606.23757 [cs.LG]

(or arXiv:2606.23757v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2606.23757

arXiv-issued DOI via DataCite

Submission history

From: Zihao Wang [view email] [v1] Mon, 22 Jun 2026 08:43:04 UTC (2,254 KB)

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Key points and analysis

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Key points

  • PC-MCMC-CIGP combines physically constrained MCMC with chemical-informed GPs for reaction network discovery.
  • Successfully distinguished elementary radical pathways in H2+Br2 benchmark.
  • Improved yield by 12.5% over GP-BO baseline on styrene epoxidation.
  • Acquisition function study shows PC-EI reduces low-yield suggestions, while EI-style criteria give best final yield.

Highlights and analysis are generated automatically and may contain errors. Check the original source.