Convolutional neural network based simulation and analysis for backward stochastic partial differential equations
DOI10.1016/j.camwa.2022.05.019OpenAlexW4281709890WikidataQ114201450 ScholiaQ114201450MaRDI QIDQ2159857
Publication date: 2 August 2022
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2022.05.019
backward stochastic partial differential equationAI based Monte Carlo simulationCauchy terminal value problemconvolution neural network modelingMean-square and almost sure convergencerandom field Malliavin calculus
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Optimal stochastic control (93E20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)
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- Adapted solution of a backward stochastic differential equation
- Malliavin calculus for backward stochastic differential equations and application to numerical solutions
- Applied stochastic control of jump diffusions.
- Bounded solutions to backward SDEs with jumps for utility optimization and indifference hedging
- Stochastic calculus with anticipating integrands
- Higher-order implicit strong numerical schemes for stochastic differential equations
- On solutions of backward stochastic differential equations with jumps and applications
- A numerical scheme for BSDEs
- A Brownian model for multiclass queueing networks with finite buffers
- Mean-variance hedging based on an incomplete market with external risk factors of non-Gaussian OU processes
- The finite element method for computing the stationary distribution of an SRBM in a hypercube with applications to finite buffer queueing networks
- A unified system of FB-SDEs with Lévy jumps and double completely-\(\mathcal{S}\) skew reflections
- On the structure of general mean-variance hedging strategies
- A forward scheme for backward SDEs
- Discrete-time approximation of decoupled Forward-Backward SDE with jumps
- Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations
- Stochastic motion and the level set method in computer vision: stochastic active contours
- A regression-based Monte Carlo method to solve backward stochastic differential equations
- Mean–variance portfolio selection based on a generalized BNS stochastic volatility model
- Stochastic Partial Differential Equations and Portfolio Choice
- The Malliavin Calculus and Related Topics
- Foundations of Modern Probability
- Simulation of stochastic partial differential equations using finite element methods
- Optimal Rate Scheduling via Utility-Maximization for J-User MIMO Markov Fading Wireless Channels with Cooperation
- Stochastic Calculus for Fractional Brownian Motion and Applications
- Hall Effect in Ferromagnetics
- Quantum-computing with AI & blockchain: modelling, fault tolerance and capacity scheduling
- White noise generalizations of the Clark-Haussmann-Ocone theorem with application to mathematical finance