131 citations
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4 papers · 1 filter
Action Functional Gradient Descent algorithm for estimating escape paths in Stochastic Chemical Reaction Networks
Praful Gagrani, Eric Smith
We first derive the Hamilton-Jacobi theory underlying continuous-time Markov processes, and then use the construction to develop a variational algorithm for estimating escape (leas…
Eikonal solutions for moment hierarchies of Chemical Reaction Networks in the limits of large particle number
Eric Smith, Supriya Krishnamurthy
Trajectory-based methods are well-developed to approximate steady-state probability distributions for stochastic processes in large-system limits. The trajectories are solutions to…
Intrinsic and extrinsic thermodynamics for stochastic population processes with multi-level large-deviation structure
Eric Smith
A set of core features is set forth as the essence of a thermodynamic description, which derive from large-deviation properties in systems with hierarchies of timescales, but which…
Solving Moment Hierarchies for Chemical Reaction Networks
Supriya Krishnamurthy, Eric Smith
The study of Chemical Reaction Networks (CRN's) is a very active field. Earlier well-known results \cite{Feinberg:def_01:87, Anderson:product_dist:10} identify a topological quanti…