Multilevel importance sampling for rare events associated with the McKean-Vlasov equation
DOI10.1007/s11222-024-10508-3MaRDI QIDQ6657834
Raúl Tempone, Nadhir Ben Rached, Shyam Mohan Subbiah Pillai, Abdul-Lateef Haji-Ali
Publication date: 7 January 2025
Published in: Statistics and Computing (Search for Journal in Brave)
importance samplingdecouplingmultilevel Monte Carlo methodMcKean-Vlasov stochastic differential equationdouble loop Monte Carlo method
Monte Carlo methods (65C05) Computational methods for problems pertaining to probability theory (60-08) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30) Stochastic particle methods (65C35)
Cites Work
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- Multi-index Monte Carlo: when sparsity meets sampling
- Multilevel simulation of functionals of Bernoulli random variables with application to basket credit derivatives
- Optimization of mesh hierarchies in multilevel Monte Carlo samplers
- Cubature on Wiener space for McKean-Vlasov SDEs with smooth scalar interaction
- Importance sampling in path space for diffusion processes with slow-fast variables
- Multilevel Monte Carlo simulation of Coulomb collisions
- Generalising the Kuramoto model for the study of neuronal synchronisation in the brain
- Monte Carlo simulation of nonlinear diffusion processes
- Smoothing properties of McKean-Vlasov SDEs
- Coupling importance sampling and multilevel Monte Carlo using sample average approximation
- Multilevel and multi-index Monte Carlo methods for the McKean-Vlasov equation
- Weak existence and uniqueness for McKean-Vlasov SDEs with common noise
- Importance sampling for a robust and efficient multilevel Monte Carlo estimator for stochastic reaction networks
- Iterative multilevel particle approximation for McKean-Vlasov SDEs
- A continuation multilevel Monte Carlo algorithm
- Multilevel Richardson-Romberg extrapolation
- Mean-field stochastic differential equations and associated PDEs
- Antithetic multilevel Monte Carlo estimation for multi-dimensional SDEs without Lévy area simulation
- Convergence rate for the approximation of the limit law of weakly interacting particles: Application to the Burgers equation
- Multilevel Monte Carlo method for ergodic SDEs without contractivity
- Model reduction algorithms for optimal control and importance sampling of diffusions
- Multilevel Monte Carlo Methods
- Multilevel Monte Carlo Path Simulation
- Approximate McKean–Vlasov representations for a class of SPDEs
- Importance Sampling, Large Deviations, and Differential Games
- Existence and uniqueness theorems for solutions of McKean–Vlasov stochastic equations
- Simulation of McKean–Vlasov SDEs with super-linear growth
- Zero-Variance Importance Sampling Estimators for Markov Process Expectations
- Applications of the Cross-Entropy Method to Importance Sampling and Optimal Control of Diffusions
- Particle-Based Multiscale Modeling of Calcium Puff Dynamics
- On mean field games with common noise and McKean-Vlasov SPDEs
- Stochastic Evolution Equations in Portfolio Credit Modelling
- A CLASS OF MARKOV PROCESSES ASSOCIATED WITH NONLINEAR PARABOLIC EQUATIONS
- A stochastic particle method for the McKean-Vlasov and the Burgers equation
- Strong convergence of Euler–Maruyama schemes for McKean–Vlasov stochastic differential equations under local Lipschitz conditions of state variables
- Importance sampling for McKean-Vlasov SDEs
- Adaptive importance sampling for multilevel Monte Carlo Euler method
- State-dependent importance sampling for estimating expectations of functionals of sums of independent random variables
- Learning-based importance sampling via stochastic optimal control for stochastic reaction networks
- Double-loop importance sampling for McKean-Vlasov stochastic differential equation
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