English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We use the score-based transport modeling method to solve the mean-fieldFokker-Planck equations, which we call MSBTM. We establish an upper bound onthe time derivative of the Kullback-Leibler (KL) divergence to MSBTM numericalestimation from the exact solution, thus validates the MSBTM approach. Besides,we provide an error analysis for the algorithm. In numerical experiments, westudy two types of mean-field Fokker-Planck equation and their correspondingdynamics of particles in interacting systems. The MSBTM algorithm isnumerically validated through qualitative and quantitative comparison betweenthe MSBTM solutions, the results of integrating the associated stochasticdifferential equation and the analytical solutions if available.

Score-based Transport Modeling for Mean-Field Fokker-Planck Equations