… by deep backward stochastic differential equations(BSDE) … of systemic risk measures to find
the optimal Q-measure. On the … differential equations (FBSDE) of McKean-Vlasov type (cf. [30…

… of Lorentz force, which leads to the Vlasov equation … This method describes a computational
workflow as a directed graph … In this work, we mainly employ Sobol indices as a measure of …

… We first conduct a comprehensive study of graphon mean field backward stochastic differential
equations (BSDEs) with jumps and associated global dynamic risk measures. We then …

… triplet (rigged Hilbert space) is developed under the assumptions that a linear operator T on
a Hilbert space H is a perturbation of a self-adjoint operator, and the spectral measure of the …

… gap, and the 1-Wasserstein distance measures the closeness between our results and the
MFE … In summary, a spatially discretized directed graph G D is a collection of edge cells and …

… We can represent these causalities using an unweighted directed graph named … measure
in the multiscale spike-field network, we need to estimate the likelihood models in equations (1…

… gets almost lost and difficult to detect and measure. The procedure suggested by Uhlenbeck
… -Vlasov equations of macroscopic diffusion, that are derived from the classical Vlasov ones …

… In summary, a spatially discretized directed graph GD is a collection of edge cells and …
distance) as metrics, where W1distance measures the closeness between the MFE and our results …

… the Vlasov equation (see [46, 50] for rigorous justification): … know, the equation (1.0.6) has
only been addressed in measure … For other types of stochastic kinetic equations, we refer to [33…

… measure usually results in more successful and robust network inferences. Instead of trying
to find an even better similarity measure … by weighted and directed graphs, that we simplify by …