ArticleThe Journal of chemical physics2018
Learning dynamic Boltzmann distributions as reduced models of spatial chemical kinetics.
Article in The Journal of chemical physics, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed.
- Approximate simulation of cortical microtubule models using dynamical graph grammars.Physical biology · 2023Article
- Prospects for Declarative Mathematical Modeling of Complex Biological Systems.Bulletin of mathematical biology · 2019Article
- Learning moment closure in reaction-diffusion systems with spatial dynamic Boltzmann distributions.Physical review. E · 2019Article
- A high-bias, low-variance introduction to Machine Learning for physicists.Physics reports · 2019Article
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Authors and funding
4 authors.
Funding
Abstract
Finding reduced models of spatially distributed chemical reaction networks requires an estimation of which effective dynamics are relevant. We propose a machine learning approach to this coarse graining problem, where a maximum entropy approximation is constructed that evolves slowly in time. The dynamical model governing the approximation is expressed as a functional, allowing a general treatment of spatial interactions. In contrast to typical machine learning approaches which estimate the interaction parameters of a graphical model, we derive Boltzmann-machine like learning algorithms to estimate directly the functionals dictating the time evolution of these parameters. By incorporating analytic solutions from simple reaction motifs, an efficient simulation method is demonstrated for systems ranging from toy problems to basic biologically relevant networks. The broadly applicable nature of our approach to learning spatial dynamics suggests promising applications to multiscale methods for spatial networks, as well as to further problems in machine learning.
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