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high-dimensional pde

4 papers

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Co-occurring keywords

curse of dimensionality (61) partial differential equation (222) functional differential equation (1) cylindrical approximation (1) numerical solver (14) high-dimensional problem (3) parametric family (3) tensor train format (3) tensor train (21) feynman-kac formula (2)

Papers

Finite Expression Method for Solving High-Dimensional Partial Differential Equations JMLR 2025
Physics-informed Neural Networks for Functional Differential Equations: Cylindrical Approximation and Its Convergence Guarantees NIPS 2024
Solving high-dimensional parabolic PDEs using the tensor train format ICML 2021
Numerically Solving Parametric Families of High-Dimensional Kolmogorov Partial Differential Equations via Deep Learning NIPS 2020