# Learning dynamic Boltzmann distributions as reduced models of spatial chemical kinetics.

@article{Ernst2018LearningDB, title={Learning dynamic Boltzmann distributions as reduced models of spatial chemical kinetics.}, author={Oliver K. Ernst and Thomas M. Bartol and Terrence J. Sejnowski and Eric Mjolsness}, journal={The Journal of chemical physics}, year={2018}, volume={149 3}, pages={ 034107 } }

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…

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